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Hygrométrie — Wikipédia

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class="vector-toc-link" href="#Généralités"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Généralités</span> </div> </a> <ul id="toc-Généralités-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Définitions" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Définitions"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Définitions</span> </div> </a> <button aria-controls="toc-Définitions-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Définitions</span> </button> <ul id="toc-Définitions-sublist" class="vector-toc-list"> <li id="toc-Quantité_d&#039;eau_contenue_dans_l&#039;air" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Quantité_d&#039;eau_contenue_dans_l&#039;air"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Quantité d'eau contenue dans l'air</span> </div> </a> <ul id="toc-Quantité_d&#039;eau_contenue_dans_l&#039;air-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pressions" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Pressions"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Pressions</span> </div> </a> <ul id="toc-Pressions-sublist" class="vector-toc-list"> <li id="toc-Pression_partielle_de_vapeur_d&#039;eau" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Pression_partielle_de_vapeur_d&#039;eau"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.1</span> <span>Pression partielle de vapeur d'eau</span> </div> </a> <ul id="toc-Pression_partielle_de_vapeur_d&#039;eau-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pression_de_vapeur_saturante_en_phase_pure" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Pression_de_vapeur_saturante_en_phase_pure"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.2</span> <span>Pression de vapeur saturante en phase pure</span> </div> </a> <ul id="toc-Pression_de_vapeur_saturante_en_phase_pure-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pression_de_vapeur_saturante_de_l&#039;air_humide" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Pression_de_vapeur_saturante_de_l&#039;air_humide"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.3</span> <span>Pression de vapeur saturante de l'air humide</span> </div> </a> <ul id="toc-Pression_de_vapeur_saturante_de_l&#039;air_humide-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Températures_thermodynamiques" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Températures_thermodynamiques"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Températures thermodynamiques</span> </div> </a> <ul id="toc-Températures_thermodynamiques-sublist" class="vector-toc-list"> <li id="toc-Température_du_point_de_rosée_ou_du_point_de_gelée" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Température_du_point_de_rosée_ou_du_point_de_gelée"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3.1</span> <span>Température du point de rosée ou du point de gelée</span> </div> </a> <ul id="toc-Température_du_point_de_rosée_ou_du_point_de_gelée-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Température_humide" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Température_humide"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3.2</span> <span>Température humide</span> </div> </a> <ul id="toc-Température_humide-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Enthalpie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Enthalpie"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Enthalpie</span> </div> </a> <ul id="toc-Enthalpie-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Diagrammes_de_l&#039;air_humide" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Diagrammes_de_l&#039;air_humide"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Diagrammes de l'air humide</span> </div> </a> <ul id="toc-Diagrammes_de_l&#039;air_humide-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hygromètres" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Hygromètres"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Hygromètres</span> </div> </a> <ul id="toc-Hygromètres-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes_et_références" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notes_et_références"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Notes et références</span> </div> </a> <button aria-controls="toc-Notes_et_références-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Notes et références</span> </button> <ul id="toc-Notes_et_références-sublist" class="vector-toc-list"> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Références" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Références"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.2</span> <span>Références</span> </div> </a> <ul id="toc-Références-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Voir_aussi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voir_aussi"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Voir aussi</span> </div> </a> <button aria-controls="toc-Voir_aussi-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Voir aussi</span> </button> <ul id="toc-Voir_aussi-sublist" class="vector-toc-list"> <li id="toc-Articles_connexes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Articles_connexes"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>Articles connexes</span> </div> </a> <ul id="toc-Articles_connexes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bibliographie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Bibliographie"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.2</span> <span>Bibliographie</span> </div> </a> <ul id="toc-Bibliographie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Liens_externes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Liens_externes"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.3</span> <span>Liens externes</span> </div> </a> <ul id="toc-Liens_externes-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Sommaire" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Basculer la table des matières" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Basculer la table des matières</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Hygrométrie</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Aller à un article dans une autre langue. Disponible en 93 langues." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-93" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">93 langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Humiditeit" title="Humiditeit – afrikaans" lang="af" hreflang="af" data-title="Humiditeit" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B1%D8%B7%D9%88%D8%A8%D8%A9_%D8%A7%D9%84%D9%87%D9%88%D8%A7%D8%A1" title="رطوبة الهواء – arabe" lang="ar" hreflang="ar" data-title="رطوبة الهواء" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%86%E0%A7%B0%E0%A7%8D%E0%A6%A6%E0%A7%8D%E0%A7%B0%E0%A6%A4%E0%A6%BE" title="আৰ্দ্ৰতা – assamais" lang="as" hreflang="as" data-title="আৰ্দ্ৰতা" data-language-autonym="অসমীয়া" data-language-local-name="assamais" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Humed%C3%A1" title="Humedá – asturien" lang="ast" hreflang="ast" data-title="Humedá" data-language-autonym="Asturianu" data-language-local-name="asturien" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/R%C3%BCtub%C9%99t" title="Rütubət – azerbaïdjanais" lang="az" hreflang="az" data-title="Rütubət" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaïdjanais" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%94%D1%8B%D0%BC%D0%BB%D1%8B%D0%BB%D1%8B%D2%A1" title="Дымлылыҡ – bachkir" lang="ba" hreflang="ba" data-title="Дымлылыҡ" data-language-autonym="Башҡортса" data-language-local-name="bachkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Luaftfeichtigkeit" title="Luaftfeichtigkeit – bavarois" lang="bar" hreflang="bar" data-title="Luaftfeichtigkeit" data-language-autonym="Boarisch" data-language-local-name="bavarois" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%92%D1%96%D0%BB%D1%8C%D0%B3%D0%BE%D1%82%D0%BD%D0%B0%D1%81%D1%86%D1%8C_%D0%BF%D0%B0%D0%B2%D0%B5%D1%82%D1%80%D0%B0" title="Вільготнасць паветра – biélorusse" lang="be" hreflang="be" data-title="Вільготнасць паветра" data-language-autonym="Беларуская" data-language-local-name="biélorusse" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%92%D1%96%D0%BB%D1%8C%D0%B3%D0%BE%D1%82%D0%BD%D0%B0%D1%81%D1%8C%D1%86%D1%8C_%D0%BF%D0%B0%D0%B2%D0%B5%D1%82%D1%80%D0%B0" title="Вільготнасьць паветра – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Вільготнасьць паветра" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%92%D0%BB%D0%B0%D0%B6%D0%BD%D0%BE%D1%81%D1%82_%D0%BD%D0%B0_%D0%B2%D1%8A%D0%B7%D0%B4%D1%83%D1%85%D0%B0" title="Влажност на въздуха – bulgare" lang="bg" hreflang="bg" data-title="Влажност на въздуха" data-language-autonym="Български" data-language-local-name="bulgare" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A8%E0%A4%AE%E0%A5%80" title="नमी – Bhojpuri" lang="bh" hreflang="bh" data-title="नमी" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%B0%E0%A7%8D%E0%A6%A6%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BE" title="আর্দ্রতা – bengali" lang="bn" hreflang="bn" data-title="আর্দ্রতা" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Vla%C5%BEnost" title="Vlažnost – bosniaque" lang="bs" hreflang="bs" data-title="Vlažnost" data-language-autonym="Bosanski" data-language-local-name="bosniaque" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Humitat" title="Humitat – catalan" lang="ca" hreflang="ca" data-title="Humitat" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B4%DB%8E" title="شێ – sorani" lang="ckb" hreflang="ckb" data-title="شێ" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Vlhkost_vzduchu" title="Vlhkost vzduchu – tchèque" lang="cs" hreflang="cs" data-title="Vlhkost vzduchu" data-language-autonym="Čeština" data-language-local-name="tchèque" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9D%D3%B3%D1%80%D0%BB%C4%95%D1%85" title="Нӳрлĕх – tchouvache" lang="cv" hreflang="cv" data-title="Нӳрлĕх" data-language-autonym="Чӑвашла" data-language-local-name="tchouvache" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Lleithder" title="Lleithder – gallois" lang="cy" hreflang="cy" data-title="Lleithder" data-language-autonym="Cymraeg" data-language-local-name="gallois" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Luftfugtighed" title="Luftfugtighed – danois" lang="da" hreflang="da" data-title="Luftfugtighed" data-language-autonym="Dansk" data-language-local-name="danois" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437796 badge-featuredarticle mw-list-item" title="article de qualité"><a href="https://de.wikipedia.org/wiki/Luftfeuchtigkeit" title="Luftfeuchtigkeit – allemand" lang="de" hreflang="de" data-title="Luftfeuchtigkeit" data-language-autonym="Deutsch" data-language-local-name="allemand" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A5%CE%B3%CF%81%CE%B1%CF%83%CE%AF%CE%B1_%CE%B1%CF%84%CE%BC%CF%8C%CF%83%CF%86%CE%B1%CE%B9%CF%81%CE%B1%CF%82" title="Υγρασία ατμόσφαιρας – grec" lang="el" hreflang="el" data-title="Υγρασία ατμόσφαιρας" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Humidity" title="Humidity – anglais" lang="en" hreflang="en" data-title="Humidity" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Humideco" title="Humideco – espéranto" lang="eo" hreflang="eo" data-title="Humideco" data-language-autonym="Esperanto" data-language-local-name="espéranto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Humedad_del_aire" title="Humedad del aire – espagnol" lang="es" hreflang="es" data-title="Humedad del aire" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/%C3%95huniiskus" title="Õhuniiskus – estonien" lang="et" hreflang="et" data-title="Õhuniiskus" data-language-autonym="Eesti" data-language-local-name="estonien" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Hezetasun" title="Hezetasun – basque" lang="eu" hreflang="eu" data-title="Hezetasun" data-language-autonym="Euskara" data-language-local-name="basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D8%B7%D9%88%D8%A8%D8%AA" title="رطوبت – persan" lang="fa" hreflang="fa" data-title="رطوبت" data-language-autonym="فارسی" data-language-local-name="persan" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Ilman_kosteus" title="Ilman kosteus – finnois" lang="fi" hreflang="fi" data-title="Ilman kosteus" data-language-autonym="Suomi" data-language-local-name="finnois" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Bogthaise" title="Bogthaise – irlandais" lang="ga" hreflang="ga" data-title="Bogthaise" data-language-autonym="Gaeilge" data-language-local-name="irlandais" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Taisead" title="Taisead – gaélique écossais" lang="gd" hreflang="gd" data-title="Taisead" data-language-autonym="Gàidhlig" data-language-local-name="gaélique écossais" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Humidade" title="Humidade – galicien" lang="gl" hreflang="gl" data-title="Humidade" data-language-autonym="Galego" data-language-local-name="galicien" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Te%27%C3%B5" title="Te&#039;õ – guarani" lang="gn" hreflang="gn" data-title="Te&#039;õ" data-language-autonym="Avañe&#039;ẽ" data-language-local-name="guarani" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Danshi" title="Danshi – haoussa" lang="ha" hreflang="ha" data-title="Danshi" data-language-autonym="Hausa" data-language-local-name="haoussa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9C%D7%97%D7%95%D7%AA" title="לחות – hébreu" lang="he" hreflang="he" data-title="לחות" data-language-autonym="עברית" data-language-local-name="hébreu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BE" title="आर्द्रता – hindi" lang="hi" hreflang="hi" data-title="आर्द्रता" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Vla%C5%BEnost_zraka" title="Vlažnost zraka – croate" lang="hr" hreflang="hr" data-title="Vlažnost zraka" data-language-autonym="Hrvatski" data-language-local-name="croate" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BD%D5%B8%D5%B6%D5%A1%D5%BE%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Խոնավություն – arménien" lang="hy" hreflang="hy" data-title="Խոնավություն" data-language-autonym="Հայերեն" data-language-local-name="arménien" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kelembapan" title="Kelembapan – indonésien" lang="id" hreflang="id" data-title="Kelembapan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésien" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Dam-eg" title="Dam-eg – ilocano" lang="ilo" hreflang="ilo" data-title="Dam-eg" data-language-autonym="Ilokano" data-language-local-name="ilocano" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Umidit%C3%A0" title="Umidità – italien" lang="it" hreflang="it" data-title="Umidità" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%B9%BF%E5%BA%A6" title="湿度 – japonais" lang="ja" hreflang="ja" data-title="湿度" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%94%E1%83%9C%E1%83%98%E1%83%90%E1%83%9C%E1%83%9D%E1%83%91%E1%83%90" title="ტენიანობა – géorgien" lang="ka" hreflang="ka" data-title="ტენიანობა" data-language-autonym="ქართული" data-language-local-name="géorgien" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AB%D0%BB%D2%93%D0%B0%D0%BB%D0%B4%D1%8B%D0%BB%D1%8B%D2%9B" title="Ылғалдылық – kazakh" lang="kk" hreflang="kk" data-title="Ылғалдылық" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%86%E0%B2%B0%E0%B3%8D%E0%B2%A6%E0%B3%8D%E0%B2%B0%E0%B2%A4%E0%B3%86" title="ಆರ್ದ್ರತೆ – kannada" lang="kn" hreflang="kn" data-title="ಆರ್ದ್ರತೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8A%B5%EB%8F%84" title="습도 – coréen" lang="ko" hreflang="ko" data-title="습도" data-language-autonym="한국어" data-language-local-name="coréen" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Nem" title="Nem – kurde" lang="ku" hreflang="ku" data-title="Nem" data-language-autonym="Kurdî" data-language-local-name="kurde" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Umidit%C3%A0" title="Umidità – lombard" lang="lmo" hreflang="lmo" data-title="Umidità" data-language-autonym="Lombard" data-language-local-name="lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Atmosferos_dr%C4%97gm%C4%97" title="Atmosferos drėgmė – lituanien" lang="lt" hreflang="lt" data-title="Atmosferos drėgmė" data-language-autonym="Lietuvių" data-language-local-name="lituanien" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Gaisa_mitrums" title="Gaisa mitrums – letton" lang="lv" hreflang="lv" data-title="Gaisa mitrums" data-language-autonym="Latviešu" data-language-local-name="letton" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%92%D0%BB%D0%B0%D0%B6%D0%BD%D0%BE%D1%81%D1%82" title="Влажност – macédonien" lang="mk" hreflang="mk" data-title="Влажност" data-language-autonym="Македонски" data-language-local-name="macédonien" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B5%BC%E0%B4%A6%E0%B5%8D%E0%B4%B0%E0%B4%A4" title="ആർദ്രത – malayalam" lang="ml" hreflang="ml" data-title="ആർദ്രത" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%90%D0%B3%D0%B0%D0%B0%D1%80%D1%8B%D0%BD_%D1%87%D0%B8%D0%B9%D0%B3%D1%88%D0%B8%D0%BB" title="Агаарын чийгшил – mongol" lang="mn" hreflang="mn" data-title="Агаарын чийгшил" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BE" title="आर्द्रता – marathi" lang="mr" hreflang="mr" data-title="आर्द्रता" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kelembapan" title="Kelembapan – malais" lang="ms" hreflang="ms" data-title="Kelembapan" data-language-autonym="Bahasa Melayu" data-language-local-name="malais" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Ummedet%C3%A0" title="Ummedetà – napolitain" lang="nap" hreflang="nap" data-title="Ummedetà" data-language-autonym="Napulitano" data-language-local-name="napolitain" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%86%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BE" title="आद्रता – népalais" lang="ne" hreflang="ne" data-title="आद्रता" data-language-autonym="नेपाली" data-language-local-name="népalais" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BE" title="आर्द्रता – newari" lang="new" hreflang="new" data-title="आर्द्रता" data-language-autonym="नेपाल भाषा" data-language-local-name="newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Luchtvochtigheid" title="Luchtvochtigheid – néerlandais" lang="nl" hreflang="nl" data-title="Luchtvochtigheid" data-language-autonym="Nederlands" data-language-local-name="néerlandais" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Fukt" title="Fukt – norvégien nynorsk" lang="nn" hreflang="nn" data-title="Fukt" data-language-autonym="Norsk nynorsk" data-language-local-name="norvégien nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Luftfuktighet" title="Luftfuktighet – norvégien bokmål" lang="nb" hreflang="nb" data-title="Luftfuktighet" data-language-autonym="Norsk bokmål" data-language-local-name="norvégien bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A8%E0%A8%AE%E0%A9%80" title="ਨਮੀ – pendjabi" lang="pa" hreflang="pa" data-title="ਨਮੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pendjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wilgotno%C5%9B%C4%87_powietrza" title="Wilgotność powietrza – polonais" lang="pl" hreflang="pl" data-title="Wilgotność powietrza" data-language-autonym="Polski" data-language-local-name="polonais" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Umidit%C3%A0" title="Umidità – piémontais" lang="pms" hreflang="pms" data-title="Umidità" data-language-autonym="Piemontèis" data-language-local-name="piémontais" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Humidade" title="Humidade – portugais" lang="pt" hreflang="pt" data-title="Humidade" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Umiditate" title="Umiditate – roumain" lang="ro" hreflang="ro" data-title="Umiditate" data-language-autonym="Română" data-language-local-name="roumain" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D0%BB%D0%B0%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Влажность – russe" lang="ru" hreflang="ru" data-title="Влажность" data-language-autonym="Русский" data-language-local-name="russe" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sc mw-list-item"><a href="https://sc.wikipedia.org/wiki/Umidade" title="Umidade – sarde" lang="sc" hreflang="sc" data-title="Umidade" data-language-autonym="Sardu" data-language-local-name="sarde" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Umiditati" title="Umiditati – sicilien" lang="scn" hreflang="scn" data-title="Umiditati" data-language-autonym="Sicilianu" data-language-local-name="sicilien" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Vla%C5%BEnost_zraka" title="Vlažnost zraka – serbo-croate" lang="sh" hreflang="sh" data-title="Vlažnost zraka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croate" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Humidity" title="Humidity – Simple English" lang="en-simple" hreflang="en-simple" data-title="Humidity" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Vlhkos%C5%A5_vzduchu" title="Vlhkosť vzduchu – slovaque" lang="sk" hreflang="sk" data-title="Vlhkosť vzduchu" data-language-autonym="Slovenčina" data-language-local-name="slovaque" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Vla%C5%BEnost" title="Vlažnost – slovène" lang="sl" hreflang="sl" data-title="Vlažnost" data-language-autonym="Slovenščina" data-language-local-name="slovène" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Munyonhi" title="Munyonhi – shona" lang="sn" hreflang="sn" data-title="Munyonhi" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Dhado" title="Dhado – somali" lang="so" hreflang="so" data-title="Dhado" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Lag%C3%ABshtia" title="Lagështia – albanais" lang="sq" hreflang="sq" data-title="Lagështia" data-language-autonym="Shqip" data-language-local-name="albanais" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%92%D0%BB%D0%B0%D0%B6%D0%BD%D0%BE%D1%81%D1%82" title="Влажност – serbe" lang="sr" hreflang="sr" data-title="Влажност" data-language-autonym="Српски / srpski" data-language-local-name="serbe" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Luftfuktighet" title="Luftfuktighet – suédois" lang="sv" hreflang="sv" data-title="Luftfuktighet" data-language-autonym="Svenska" data-language-local-name="suédois" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Unyevuanga" title="Unyevuanga – swahili" lang="sw" hreflang="sw" data-title="Unyevuanga" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%88%E0%AE%B0%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%A4%E0%AE%AE%E0%AF%8D" title="ஈரப்பதம் – tamoul" lang="ta" hreflang="ta" data-title="ஈரப்பதம்" data-language-autonym="தமிழ்" data-language-local-name="tamoul" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%86%E0%B0%B0%E0%B1%8D%E0%B0%A6%E0%B1%8D%E0%B0%B0%E0%B0%A4" title="ఆర్ద్రత – télougou" lang="te" hreflang="te" data-title="ఆర్ద్రత" data-language-autonym="తెలుగు" data-language-local-name="télougou" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%8A%E0%B8%B7%E0%B9%89%E0%B8%99" title="ความชื้น – thaï" lang="th" hreflang="th" data-title="ความชื้น" data-language-autonym="ไทย" data-language-local-name="thaï" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Halumigmig" title="Halumigmig – tagalog" lang="tl" hreflang="tl" data-title="Halumigmig" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Nem" title="Nem – turc" lang="tr" hreflang="tr" data-title="Nem" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D0%BE%D0%BB%D0%BE%D0%B3%D1%96%D1%81%D1%82%D1%8C_%D0%BF%D0%BE%D0%B2%D1%96%D1%82%D1%80%D1%8F" title="Вологість повітря – ukrainien" lang="uk" hreflang="uk" data-title="Вологість повітря" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%86%D9%85%DB%8C" title="نمی – ourdou" lang="ur" hreflang="ur" data-title="نمی" data-language-autonym="اردو" data-language-local-name="ourdou" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Namlik" title="Namlik – ouzbek" lang="uz" hreflang="uz" data-title="Namlik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ouzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99_%E1%BA%A9m_tuy%E1%BB%87t_%C4%91%E1%BB%91i" title="Độ ẩm tuyệt đối – vietnamien" lang="vi" hreflang="vi" data-title="Độ ẩm tuyệt đối" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamien" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%B9%BF%E5%BA%A6" title="湿度 – wu" lang="wuu" hreflang="wuu" data-title="湿度" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A1%E1%83%98%E1%83%9A%E1%83%90%E1%83%9B%E1%83%94" title="სილამე – mingrélien" lang="xmf" hreflang="xmf" data-title="სილამე" data-language-autonym="მარგალური" data-language-local-name="mingrélien" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A4%D7%99%D7%99%D7%9B%D7%98%D7%A7%D7%99%D7%99%D7%98" title="פייכטקייט – yiddish" lang="yi" hreflang="yi" data-title="פייכטקייט" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%B9%BF%E5%BA%A6" title="湿度 – chinois" lang="zh" hreflang="zh" data-title="湿度" data-language-autonym="中文" data-language-local-name="chinois" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Sip-t%C5%8D%CD%98" title="Sip-tō͘ – minnan" lang="nan" hreflang="nan" data-title="Sip-tō͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%BF%95%E5%BA%A6" title="濕度 – cantonais" lang="yue" hreflang="yue" data-title="濕度" data-language-autonym="粵語" data-language-local-name="cantonais" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span 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hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q180600" title="Lien vers l’élément dans le dépôt de données connecté [g]" accesskey="g"><span>Élément Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apparence"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l&#039;encyclopédie libre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"><div class="bandeau-container metadata homonymie hatnote"><div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"><span class="noviewer" typeof="mw:File"><a href="/wiki/Aide:Homonymie" title="Aide:Homonymie"><img alt="Page d’aide sur l’homonymie" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Confusion_colour.svg/20px-Confusion_colour.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Confusion_colour.svg/30px-Confusion_colour.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Confusion_colour.svg/40px-Confusion_colour.svg.png 2x" data-file-width="260" data-file-height="200" /></a></span></div><div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Ne doit pas être confondu avec <a href="/wiki/Hydrom%C3%A9trie" title="Hydrométrie">Hydrométrie</a>. </p> </div></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fichier:Psychrometric_chart_(altitude_0,_750,_1500,_2250,_3000_m).pdf" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf/page1-220px-Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf.jpg" decoding="async" width="220" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf/page1-330px-Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf/page1-440px-Psychrometric_chart_%28altitude_0%2C_750%2C_1500%2C_2250%2C_3000_m%29.pdf.jpg 2x" data-file-width="1754" data-file-height="1241" /></a><figcaption>Diagramme de l'air humide à 1013,25 hPa.</figcaption></figure> <p>L’<b>hygrométrie</b> est la science qui a pour objet la mesure de la quantité de vapeur d'eau contenue dans l'<a href="/wiki/Air" title="Air">air</a> humide&#160;; elle ne prend pas en compte l'<a href="/wiki/Eau" title="Eau">eau</a> présente sous forme <a href="/wiki/Liquide" title="Liquide">liquide</a> ou <a href="/wiki/%C3%89tat_solide" title="État solide">solide</a>. L'<b>air humide</b> est un mélange, en proportion variable, d'<a href="/wiki/Air" title="Air">air</a> sec et de <a href="/wiki/Vapeur_d%27eau" title="Vapeur d&#39;eau">vapeur d'eau</a>. L’hygrométrie est étudiée notamment par les <a href="/wiki/M%C3%A9t%C3%A9orologie" title="Météorologie">météorologues</a>, thermiciens et ingénieurs du <a href="/wiki/G%C3%A9nie_des_proc%C3%A9d%C3%A9s" class="mw-redirect" title="Génie des procédés">génie des procédés</a>. Il s'agit d'un cas particulier de la <a href="/wiki/Psychrom%C3%A9trie" title="Psychrométrie">psychrométrie</a> qui étudie plus généralement les mélanges gaz-vapeurs de deux espèces différentes. </p><p>Les diagrammes de l'air humide ou diagrammes psychrométriques rassemblent les propriétés de l'air humide pour une valeur de pression atmosphérique donnée. Par <a href="/wiki/Abus_de_langage" title="Abus de langage">abus de langage</a> et <a href="/wiki/M%C3%A9tonymie" title="Métonymie">métonymie</a>, l’hygrométrie désigne l'humidité relative de l’air, souvent appelée degré hygrométrique&#160;: elle est mesurée à l'aide d'un <a href="/wiki/Hygrom%C3%A8tre" title="Hygromètre">hygromètre</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Étymologie"><span id=".C3.89tymologie"></span>Étymologie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=1" title="Modifier la section : Étymologie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=1" title="Modifier le code source de la section : Étymologie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Le mot «&#160;hygrométrie&#160;» dérive d'«&#160;<a href="/wiki/Hygrom%C3%A8tre" title="Hygromètre">hygromètre</a>&#160;», lui-même construit au <abbr class="abbr" title="17ᵉ siècle"><span class="romain">XVII</span><sup style="font-size:72%">e</sup></abbr>&#160;siècle sur les mots <a href="/wiki/Grec_ancien" title="Grec ancien">grecs</a> <span class="lang-grc" lang="grc">ὑγρός</span>&#160;/ <span class="lang-grc-latn" lang="grc-latn"><i>hugros</i></span> («&#160;<a href="/wiki/Humidit%C3%A9" title="Humidité">humide</a>&#160;») et <span class="lang-grc" lang="grc">μέτρον</span>&#160;/ <span class="lang-grc-latn" lang="grc-latn"><i>metron</i></span> («&#160;<a href="/wiki/Mesure_physique" title="Mesure physique">mesure</a>&#160;»)<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Généralités"><span id="G.C3.A9n.C3.A9ralit.C3.A9s"></span>Généralités</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=2" title="Modifier la section : Généralités" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=2" title="Modifier le code source de la section : Généralités"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fichier:Kondensierender_Wasserdampf01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Kondensierender_Wasserdampf01.jpg/220px-Kondensierender_Wasserdampf01.jpg" decoding="async" width="220" height="391" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Kondensierender_Wasserdampf01.jpg/330px-Kondensierender_Wasserdampf01.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Kondensierender_Wasserdampf01.jpg/440px-Kondensierender_Wasserdampf01.jpg 2x" data-file-width="500" data-file-height="888" /></a><figcaption>La vapeur d'eau se liquéfie sur une paroi froide, asséchant l'air</figcaption></figure><p>Les propriétés <a href="/wiki/Physique" title="Physique">physiques</a> et <a href="/wiki/Thermodynamique" title="Thermodynamique">thermodynamiques</a> de l'air sont souvent implicitement celles de l'air sec, c'est-à-dire en l'absence de toute vapeur d'eau, notamment pour les raisons qui suivent. </p><ul><li>L'humidité de l'air est variable dans l'espace et dans le temps, à l'échelle de quelques heures voire moins (par exemple quand il pleut ou quand la rosée se forme) et non uniforme à l'échelle de centaines de mètres, voire parfois du mètre de sorte qu'il est impossible de définir des propriétés standard de l'air ambiant. L'humidité de l'air est principalement influencée par la quantité d'eau disponible, la <a href="/wiki/Temp%C3%A9rature" title="Température">température</a> et les <a href="/wiki/Courant" class="mw-disambig" title="Courant">courants</a> <a href="/wiki/Atmosph%C3%A8re_(Terre)" class="mw-redirect" title="Atmosphère (Terre)">atmosphériques</a>.</li> <li>Les propriétés de l'<a href="/wiki/Air_humide" class="mw-redirect" title="Air humide">air humide</a> peuvent en dévier fortement, car la proportion de vapeur d'eau peut atteindre jusqu'à 4&#160;% en volume dans des conditions météorologiques usuelles&#160;; la portance de l'air, le transport de la lumière, des odeurs, de certaines molécules (dont certains parfums, <a href="/wiki/Hormone" title="Hormone">hormones</a>), la portée des sons, la transparence de l'air, l'acidité et la <a href="/wiki/Pollution_de_l%27air" title="Pollution de l&#39;air">pollution de l'air</a>, les <a href="/wiki/Halo_lumineux" title="Halo lumineux">halos</a> ou la <a href="/wiki/Pollution_lumineuse" title="Pollution lumineuse">pollution lumineuse</a>, etc. sont ainsi affectés par l'humidité de l'air. La vapeur d'eau est d'ailleurs un des gaz à <a href="/wiki/Effet_de_serre" title="Effet de serre">effet de serre</a> les plus importants.</li> <li>L'<a href="/wiki/%C3%89vaporation" title="Évaporation">évaporation</a> de l'eau des <a href="/wiki/Oc%C3%A9an" title="Océan">océans</a>, des <a href="/wiki/Rivi%C3%A8re" title="Rivière">rivières</a> et des <a href="/wiki/Nuage" title="Nuage">nuages</a>, le <a href="/wiki/Vent" title="Vent">vent</a> ainsi que la <a href="/wiki/Transpiration_v%C3%A9g%C3%A9tale" title="Transpiration végétale">transpiration végétale</a> et l'<a href="/wiki/%C3%89vapotranspiration" title="Évapotranspiration">évapotranspiration</a> sont sources d'augmentation ou de régulation de l'humidité de l'air. Dans la nature, tous ces facteurs dépendent pour tout ou partie de l'énergie solaire et du vivant. En milieu anthropisé ou confiné (maison, voiture, lieu de travail) l'eau-vapeur expirée par l'homme, l'eau émise par les cheminées et les pots d'échappement deviennent déterminantes pour expliquer les variations d'humidité de l'air. Faute d'évapotranspiration végétale, l'air urbain des villes denses est anormalement sec. Paradoxalement au-dessus de la mer ou d'un lac, même en zone tropicale l'air peut-être beaucoup plus sec que sous la <a href="/wiki/Canop%C3%A9e" title="Canopée">canopée</a>. Dans le désert l'air est extrêmement sec le jour, mais peut être humide la nuit.</li> <li>À quantité de vapeur d'eau constante, une diminution de température tend à augmenter l'humidité relative jusqu'à la saturation (100&#160;% d'humidité relative)&#160;; la température correspond alors à la température de rosée (la <a href="/wiki/Pression_partielle" title="Pression partielle">pression partielle</a> de vapeur d'eau est alors égale à la pression saturante).</li> <li>Les courants atmosphériques apportent de l'humidité dans les zones de haute atmosphère (régions sèches).</li> <li>Les variations de l'humidité de l'air sont amorties par la présence de matériaux ad-ab-sorbants (plâtre, bois..) et par les couplages entre les échanges "vapeur d'eau / énergie" (évapotranspiration, vent de terre/vent de mer, formation de rosée et son évaporation).</li></ul> <p>En milieu naturel, la <a href="/wiki/Ros%C3%A9e" title="Rosée">rosée</a> et l'apparition très rapide de <a href="/wiki/Moisissure" title="Moisissure">moisissures</a> sur la <a href="/wiki/Mati%C3%A8re_organique" title="Matière organique">matière organique</a> morte sont des indicateurs d'humidité relative élevée. </p><p>En milieu confiné, une humidité relative élevée favorise les allergies ou pathologies induites par la présence d'acariens et de spores de moisissures. C'est un des éléments du phénomène dit de <a href="/wiki/Pollution_int%C3%A9rieure" class="mw-redirect" title="Pollution intérieure">pollution intérieure</a>. Inversement une humidité trop basse est facteur de déshydratation des muqueuses et d'empoussièrement également néfastes à la santé. </p><p>Dans les locaux fermés (bureaux, appartement, maison) l’<a href="/wiki/Humidit%C3%A9_relative" title="Humidité relative">humidité relative</a> de confort se situe entre 40 et 60&#160;%<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Définitions"><span id="D.C3.A9finitions"></span>Définitions</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=3" title="Modifier la section : Définitions" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=3" title="Modifier le code source de la section : Définitions"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="NavFrame" style="clear:both; margin-bottom:1em; border-style:solid; background-color:var(--background-color-base, #fff);" title="&#91;afficher&#93;/&#91;masquer&#93;"> <div class="NavHead" style="text-align:center; min-height:1.6em; color:var(--color-emphasized, #000);">Notations utilisées</div> <div class="NavContent" style="margin:0; color:var(--color-base, #202122); display:block; text-align:left;"> <table class="wikitable center"> <tbody><tr> <th>Symbole </th> <th>Grandeur </th> <th>Unité </th></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{p_{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{p_{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53de94224fc967293914c1243c4d325ed1cb4d2e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.936ex; height:2.343ex;" alt="{\displaystyle c_{p_{a}}}"></span> </td> <td>Capacité thermique massique à pression constante de l'air sec </td> <td>J/K/kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{p_{e}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{p_{e}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48192fa03e07137fbb8c985396b6e703296521c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.852ex; height:2.343ex;" alt="{\displaystyle c_{p_{e}}}"></span> </td> <td>Capacité thermique massique à pression constante de l'eau (état liquide) </td> <td>J/K/kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{p_{v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{p_{v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/463ac529ed54d2f06e28e6c0e4eb766417d42fa2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.878ex; height:2.343ex;" alt="{\displaystyle c_{p_{v}}}"></span> </td> <td>Capacité thermique massique à pression constante de la vapeur d'eau </td> <td>J/K/kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta h_{\text{vap}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vap</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta h_{\text{vap}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19e0e07c71c9239ee17b295de0ea4493b53dd3ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.111ex; height:2.843ex;" alt="{\displaystyle \Delta h_{\text{vap}}}"></span> </td> <td><a href="/wiki/Enthalpie_de_vaporisation" title="Enthalpie de vaporisation">Enthalpie massique de vaporisation</a> </td> <td>J/kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>H</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75a9edddcca2f782014371f75dca39d7e13a9c1b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle H}"></span> </td> <td><a href="/wiki/Enthalpie" title="Enthalpie">Enthalpie</a> </td> <td>J </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> </td> <td>Enthalpie massique </td> <td>J/kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> </td> <td>Facteur d'augmentation </td> <td> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3952acec4181822fdb8e2a1ade89550d85b569e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.356ex; height:2.509ex;" alt="{\displaystyle M_{a}}"></span> </td> <td><a href="/wiki/Masse_molaire" title="Masse molaire">Masse molaire</a> de l'air sec </td> <td>kg/mol </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f25063ec30b884e50196badc0b50cd1a069ab16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.284ex; height:2.509ex;" alt="{\displaystyle M_{v}}"></span> </td> <td>Masse molaire de l'eau </td> <td>kg/mol </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {m_{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {m_{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/17413c984d19236fcea92ad2376adc25afbb312f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.142ex; height:2.009ex;" alt="{\displaystyle {m_{a}}}"></span> </td> <td><a href="/wiki/Masse" title="Masse">Masse</a> d'air sec contenue dans l'échantillon </td> <td>kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {m_{v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {m_{v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47a6dda33cfc49fba1c28162df23febe26d9a458" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.07ex; height:2.009ex;" alt="{\displaystyle {m_{v}}}"></span> </td> <td>Masse de vapeur eau contenue dans l'échantillon </td> <td>kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {m_{e}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {m_{e}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb15dd129180e76ebc373845fa81c10b6906af9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.039ex; height:2.009ex;" alt="{\displaystyle {m_{e}}}"></span> </td> <td>Masse d'eau (état liquide) contenue dans l'échantillon </td> <td>kg </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {n_{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {n_{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa94d2287373f201b97e27af9353194eaea42d91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.497ex; height:2.009ex;" alt="{\displaystyle {n_{a}}}"></span> </td> <td><a href="/wiki/Quantit%C3%A9_de_mati%C3%A8re" title="Quantité de matière">Quantité de matière</a> d'air sec contenue dans l'échantillon </td> <td>mol </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {n_{v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {n_{v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/204068b65f08ed14d8239ad6fe9bd3a5eadf51ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.424ex; height:2.009ex;" alt="{\displaystyle {n_{v}}}"></span> </td> <td>Quantité de matière d'eau contenue dans l'échantillon </td> <td>mol </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> </td> <td><a href="/wiki/Constante_universelle_des_gaz_parfaits" title="Constante universelle des gaz parfaits">Constante universelle des gaz parfaits</a> </td> <td> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> </td> <td><a href="/wiki/Rapport_de_m%C3%A9lange" title="Rapport de mélange">Rapport de mélange</a> </td> <td>kg/kg AS </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C1;<!-- ρ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f7d439671d1289b6a816e6af7a304be40608d64" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.202ex; height:2.176ex;" alt="{\displaystyle \rho }"></span> </td> <td>Masse volumique de l'échantillon </td> <td>kg/m<sup>3</sup> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho _{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03C1;<!-- ρ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho _{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4791715f4896042b8f36fd7b8c6e35facd0a6fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.232ex; height:2.176ex;" alt="{\displaystyle \rho _{v}}"></span> </td> <td><a href="/wiki/Humidit%C3%A9_absolue" title="Humidité absolue">Humidité absolue</a> </td> <td>kg/m<sup>3</sup> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> </td> <td>Pression atmosphérique </td> <td>Pa </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d788a3ef7b01f9adfeba9f5977f37162c8e5d23" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:2.288ex; height:2.009ex;" alt="{\displaystyle p_{v}}"></span> </td> <td>Pression partielle de vapeur d'eau </td> <td>Pa </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{\text{sat}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{\text{sat}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d08824e20e6b7e617a45ab1b4b6c77efe990b4e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:3.601ex; height:2.009ex;" alt="{\displaystyle p_{\text{sat}}}"></span> </td> <td>Pression de vapeur saturante en phase pure </td> <td>Pa </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p'_{\text{sat}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p'_{\text{sat}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6628463736327c2b4185f3453ad11a1610263f4f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:3.601ex; height:2.676ex;" alt="{\displaystyle p&#039;_{\text{sat}}}"></span> </td> <td>Pression de vapeur saturante de l'air humide </td> <td>Pa </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/06809d64fa7c817ffc7e323f85997f783dbdf71d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.07ex; height:2.009ex;" alt="{\displaystyle q}"></span> </td> <td><a href="/wiki/Humidit%C3%A9_sp%C3%A9cifique" title="Humidité spécifique">Humidité spécifique</a> </td> <td>J/K/mol </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B8;<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span> </td> <td>Température de l'échantillon </td> <td>K, °C </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{g}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{g}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8e95177ce2147ed7b88f95acad4c46bfd195ee1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.379ex; height:2.843ex;" alt="{\displaystyle T_{g}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta _{g}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta _{g}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6cee8d91e9c026d5a125f064f557c6c2a475cca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.112ex; height:2.843ex;" alt="{\displaystyle \theta _{g}}"></span> </td> <td>Température du point de gelée </td> <td>K, °C </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8dd1c50cb9436474f83624c3f679ccf3eebbfef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.157ex; height:2.509ex;" alt="{\displaystyle T_{i}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/302b19204ed378e99ff4575341a67eebdbe5a555" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.89ex; height:2.509ex;" alt="{\displaystyle \theta _{i}}"></span> </td> <td>Température du thermomètre recouvert de glace </td> <td>K, °C </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta _{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta _{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b57bc5b7c50075a61fd0f0fd7521745291077fb1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.27ex; height:2.509ex;" alt="{\displaystyle \theta _{h}}"></span> </td> <td><a href="/wiki/Temp%C3%A9rature_du_thermom%C3%A8tre_mouill%C3%A9" title="Température du thermomètre mouillé">Température humide</a>, ou température du thermomètre mouillé </td> <td>K, °C </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d42a2f96162536ac26ef7cefedb159170597124" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.331ex; height:2.509ex;" alt="{\displaystyle T_{r}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta _{r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta _{r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8150e6ff5705574752b8a69aa3da335179961b5e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.064ex; height:2.509ex;" alt="{\displaystyle \theta _{r}}"></span> </td> <td>Température du point de rosée </td> <td>K, °C </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.783ex; height:2.176ex;" alt="{\displaystyle U}"></span> </td> <td><a href="/wiki/Humidit%C3%A9_relative" title="Humidité relative">Humidité relative</a> </td> <td> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="{\displaystyle V}"></span> </td> <td>Volume de l'échantillon </td> <td>m<sup>3</sup> </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40836783b20c374654ab03ddd6b01586ad9b4fb8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.03ex; height:2.509ex;" alt="{\displaystyle V_{m}}"></span> </td> <td><a href="/wiki/Volume_sp%C3%A9cifique" class="mw-redirect" title="Volume spécifique">Volume spécifique</a> ou volume massique </td> <td>m<sup>3</sup>/kg AS </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/971dcbf2d12e5533b22c0a7b979d7b9040f35982" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.359ex; height:2.009ex;" alt="{\displaystyle x_{v}}"></span> </td> <td><a href="/wiki/Fraction_molaire" title="Fraction molaire">Fraction molaire</a> de vapeur d'eau </td> <td> </td></tr></tbody></table> </div> <div class="NavEnd">&#160;</div> </div> <div class="mw-heading mw-heading3"><h3 id="Quantité_d'eau_contenue_dans_l'air"><span id="Quantit.C3.A9_d.27eau_contenue_dans_l.27air"></span>Quantité d'eau contenue dans l'air</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=4" title="Modifier la section : Quantité d&#039;eau contenue dans l&#039;air" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=4" title="Modifier le code source de la section : Quantité d&#039;eau contenue dans l&#039;air"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'<a href="/wiki/Air" title="Air">air sec</a> est l'air de notre atmosphère exempt de vapeur d'eau, sa <a href="/wiki/Atmosph%C3%A8re_terrestre#Composition_chimique_détaillée" title="Atmosphère terrestre">composition</a> est considérée constante pour les calculs. Sa masse molaire dépend légèrement de la composition choisie pour le calcul&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3952acec4181822fdb8e2a1ade89550d85b569e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.356ex; height:2.509ex;" alt="{\displaystyle M_{a}}"></span> ≈ 29,0&#160;× 10<sup>−3</sup>&#160;<abbr class="abbr" title="kilogramme par mole">kg&#160;mol<sup>−1</sup></abbr><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite_crochet">[</span>a<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite_crochet">[</span>b<span class="cite_crochet">]</span></a></sup>. </p><p>L'air <a href="/wiki/Pression_de_vapeur_saturante" title="Pression de vapeur saturante">saturé</a> est l'air humide pour lequel, à une température et une pression données, toute quantité d'eau ajoutée ne peut apparaître qu'à l'état liquide ou solide. La masse molaire de l'eau vaut <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f25063ec30b884e50196badc0b50cd1a069ab16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.284ex; height:2.509ex;" alt="{\displaystyle M_{v}}"></span> = 18,015&#160;28&#160;× 10<sup>−3</sup>&#160;<abbr class="abbr" title="kilogramme par mole">kg&#160;mol<sup>−1</sup></abbr>. </p><p>Le rapport <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B4;<!-- δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:2.343ex;" alt="{\displaystyle \delta }"></span> = <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{v} \over M_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{v} \over M_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e930053b203b41580379e363a1cdeee78716c1bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:4.192ex; height:5.676ex;" alt="{\displaystyle M_{v} \over M_{a}}"></span> ≈ 0,622<sup id="cite_ref-:0_5-0" class="reference"><a href="#cite_note-:0-5"><span class="cite_crochet">[</span>c<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-:1_6-0" class="reference"><a href="#cite_note-:1-6"><span class="cite_crochet">[</span>d<span class="cite_crochet">]</span></a></sup> est souvent présent dans les calculs. </p><p>L'air humide contient toujours une quantité d'eau comprise entre celle de l'air sec et celle de l'air saturé. </p> <table class="wikitable"> <caption>Définitions de grandeurs concernant la quantité d'eau contenue dans l'air humide </caption> <tbody><tr> <th>Grandeur </th> <th>Définition </th> <th>Formule </th> <th>Unité </th> <th>Réf </th></tr> <tr> <td><a href="/wiki/Rapport_de_m%C3%A9lange" title="Rapport de mélange">Rapport de mélange</a> </td> <td>Rapport entre la <a href="/wiki/Masse" title="Masse">masse</a> de vapeur d'eau &#160;et la masse d'air sec associée&#160;; il s'exprime en kilogramme par kilogramme d'air sec. </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {m_{v}}{m_{a}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {m_{v}}{m_{a}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d0e9d20d303e15b96450b63cb2a2634790153d67" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:8.126ex; height:5.009ex;" alt="{\displaystyle r={\frac {m_{v}}{m_{a}}}}"></span> </td> <td>kg/kg AS </td> <td><sup id="cite_ref-:2_7-0" class="reference"><a href="#cite_note-:2-7"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Fraction_molaire" title="Fraction molaire">Fraction molaire</a> </td> <td>Rapport du nombre de moles de vapeur d'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5449610d28f85fb4d2ccebbfa7d3daf87e3f3b8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.424ex; height:2.009ex;" alt="{\displaystyle n_{v}}"></span> sur le nombre de moles total d'air humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{v}+n_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{v}+n_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a40154c7b56fc17dcdf7ea3c11297f5f1b01b17a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.761ex; height:2.343ex;" alt="{\displaystyle n_{v}+n_{a}}"></span>.<div class="NavFrame" style="border: thin solid #aaaaaa; margin:1em 2em; padding: 0 1em; font-size:100%; text-align:justify; overflow:hidden;"> <div class="NavHead" style="background-color:transparent; color:inherit; padding:0;">Démonstration</div><div class="NavContent" style="padding-bottom:0.4em"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {m_{v} \over M_{v}}{{m_{v} \over M_{v}}+{m_{a} \over M_{a}}}}={\frac {r}{r+{\frac {M_{v}}{M_{a}}}}}={\frac {r}{r+\delta }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>r</mi> <mrow> <mi>r</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>r</mi> <mrow> <mi>r</mi> <mo>+</mo> <mi>&#x03B4;<!-- δ --></mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {m_{v} \over M_{v}}{{m_{v} \over M_{v}}+{m_{a} \over M_{a}}}}={\frac {r}{r+{\frac {M_{v}}{M_{a}}}}}={\frac {r}{r+\delta }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a5249ab6516db38e0da2e91a309fac61e25d760" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:47.368ex; height:8.676ex;" alt="{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {m_{v} \over M_{v}}{{m_{v} \over M_{v}}+{m_{a} \over M_{a}}}}={\frac {r}{r+{\frac {M_{v}}{M_{a}}}}}={\frac {r}{r+\delta }}}"></span> </p> </div><div class="clear" style="clear:both;"></div> </div> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {r}{\delta +r}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>r</mi> <mrow> <mi>&#x03B4;<!-- δ --></mi> <mo>+</mo> <mi>r</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {r}{\delta +r}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4dc696d06cccfa62f738b10cecd5c0bd03be1766" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:22.927ex; height:5.009ex;" alt="{\displaystyle x_{v}={\frac {n_{v}}{n_{v}+n_{a}}}={\frac {r}{\delta +r}}}"></span> </td> <td> </td> <td><sup id="cite_ref-:2_7-1" class="reference"><a href="#cite_note-:2-7"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Humidit%C3%A9_sp%C3%A9cifique" title="Humidité spécifique">Humidité spécifique</a> </td> <td>Rapport entre la masse de vapeur d'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12e3b751f18404b709fc4071f7a0e8c640b2c725" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.07ex; height:2.009ex;" alt="{\displaystyle m_{v}}"></span> et la masse d'air humide associée <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{v}+m_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{v}+m_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af2741f42e12d6928f4d36584ba316afb21a79d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.053ex; height:2.343ex;" alt="{\displaystyle m_{v}+m_{a}}"></span>. </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle q={\frac {m_{v}}{m_{v}+m_{a}}}={\frac {r}{1+r}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>r</mi> <mrow> <mn>1</mn> <mo>+</mo> <mi>r</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q={\frac {m_{v}}{m_{v}+m_{a}}}={\frac {r}{1+r}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/546ba97f930e56d36efda14ec7ddf974721ca646" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:23.043ex; height:5.009ex;" alt="{\displaystyle q={\frac {m_{v}}{m_{v}+m_{a}}}={\frac {r}{1+r}}}"></span> </td> <td> </td> <td><sup id="cite_ref-:2_7-2" class="reference"><a href="#cite_note-:2-7"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Humidit%C3%A9_absolue" title="Humidité absolue">Humidité absolue</a> </td> <td>Quotient de la masse de vapeur d'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12e3b751f18404b709fc4071f7a0e8c640b2c725" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.07ex; height:2.009ex;" alt="{\displaystyle m_{v}}"></span> sur le volume d'air humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="{\displaystyle V}"></span> considéré. </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho _{v}={\frac {m_{v}}{V}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03C1;<!-- ρ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mi>V</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho _{v}={\frac {m_{v}}{V}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7605b501ac282147567fdf6e3543df7e5f5b3d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.236ex; height:4.843ex;" alt="{\displaystyle \rho _{v}={\frac {m_{v}}{V}}}"></span> </td> <td>kg/m<sup>3</sup> </td> <td><sup id="cite_ref-:2_7-3" class="reference"><a href="#cite_note-:2-7"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Humidit%C3%A9_relative" title="Humidité relative">Humidité relative</a> </td> <td>Rapport, à une pression <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> et une température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> données, de la pression partielle de vapeur d'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d788a3ef7b01f9adfeba9f5977f37162c8e5d23" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:2.288ex; height:2.009ex;" alt="{\displaystyle p_{v}}"></span> et de la pression de vapeur saturante de l'air humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p'_{\text{sat}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p'_{\text{sat}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6628463736327c2b4185f3453ad11a1610263f4f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:3.601ex; height:2.676ex;" alt="{\displaystyle p&#039;_{\text{sat}}}"></span> <small>(toutes ces pressions sont définies plus loin, tout comme la température au point de rosée <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d42a2f96162536ac26ef7cefedb159170597124" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.331ex; height:2.509ex;" alt="{\displaystyle T_{r}}"></span>).</small> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U={\frac {p_{v}}{p'_{\text{sat}}(p,T)}}={\frac {p'_{\text{sat}}(p,T_{r})}{p'_{\text{sat}}(p,T)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U={\frac {p_{v}}{p'_{\text{sat}}(p,T)}}={\frac {p'_{\text{sat}}(p,T_{r})}{p'_{\text{sat}}(p,T)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc828884a98f211cf33bf1085373cf9d1ee83000" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:28.667ex; height:6.509ex;" alt="{\displaystyle U={\frac {p_{v}}{p&#039;_{\text{sat}}(p,T)}}={\frac {p&#039;_{\text{sat}}(p,T_{r})}{p&#039;_{\text{sat}}(p,T)}}}"></span> </td> <td> </td> <td><sup id="cite_ref-:3_8-0" class="reference"><a href="#cite_note-:3-8"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Volume_sp%C3%A9cifique" class="mw-redirect" title="Volume spécifique">Volume spécifique</a> </td> <td>quotient du volume de l'échantillon sur la masse d'air sec&#160;; il s'exprime en mètre cube par kilogramme d'air sec (m<sup>3</sup>/kg AS). <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C1;<!-- ρ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f7d439671d1289b6a816e6af7a304be40608d64" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.202ex; height:2.176ex;" alt="{\displaystyle \rho }"></span> est la masse volumique de l'air humide.<div class="NavFrame" style="border: thin solid #aaaaaa; margin:1em 2em; padding: 0 1em; font-size:100%; text-align:justify; overflow:hidden;"> <div class="NavHead" style="background-color:transparent; color:inherit; padding:0;">Démonstration</div><div class="NavContent" style="padding-bottom:0.4em"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho ={\frac {m_{a}+m_{v}}{V}}={\frac {m_{a}+r\,m_{a}}{V}}={\frac {r+1}{V_{m}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C1;<!-- ρ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> <mi>V</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>+</mo> <mi>r</mi> <mspace width="thinmathspace" /> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> <mi>V</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>r</mi> <mo>+</mo> <mn>1</mn> </mrow> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho ={\frac {m_{a}+m_{v}}{V}}={\frac {m_{a}+r\,m_{a}}{V}}={\frac {r+1}{V_{m}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66f176c6cb9ba0400c576ccfd6e227e3a7483714" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:37.671ex; height:5.676ex;" alt="{\displaystyle \rho ={\frac {m_{a}+m_{v}}{V}}={\frac {m_{a}+r\,m_{a}}{V}}={\frac {r+1}{V_{m}}}}"></span> </p> </div><div class="clear" style="clear:both;"></div> </div> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {V}{m_{a}}}={\frac {1+r}{\rho }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mi>r</mi> </mrow> <mi>&#x03C1;<!-- ρ --></mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {V}{m_{a}}}={\frac {1+r}{\rho }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c87356baa77db35105be39808aff0fc35e3f8578" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:19.093ex; height:5.676ex;" alt="{\displaystyle V_{m}={\frac {V}{m_{a}}}={\frac {1+r}{\rho }}}"></span> </td> <td>m<sup>3</sup>/kg </td> <td><sup id="cite_ref-:3_8-1" class="reference"><a href="#cite_note-:3-8"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup> </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Pressions">Pressions</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=5" title="Modifier la section : Pressions" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=5" title="Modifier le code source de la section : Pressions"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Pression_partielle_de_vapeur_d'eau"><span id="Pression_partielle_de_vapeur_d.27eau"></span>Pression partielle de vapeur d'eau</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=6" title="Modifier la section : Pression partielle de vapeur d&#039;eau" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=6" title="Modifier le code source de la section : Pression partielle de vapeur d&#039;eau"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La <a href="/wiki/Pression_partielle" title="Pression partielle">pression partielle</a> de vapeur<sup id="cite_ref-:02_9-0" class="reference"><a href="#cite_note-:02-9"><span class="cite_crochet">[</span>5<span class="cite_crochet">]</span></a></sup> d'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d788a3ef7b01f9adfeba9f5977f37162c8e5d23" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:2.288ex; height:2.009ex;" alt="{\displaystyle p_{v}}"></span> correspond à la pression qu'exercerait la vapeur d'eau si elle occupait seule la totalité du volume de l'air humide considéré. Si <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> est la <a href="/wiki/Pression_totale" title="Pression totale">pression totale</a>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{v}=x_{v}\,p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{v}=x_{v}\,p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6c57b7b0956672b614b76f9b655939848495ce0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:9.303ex; height:2.009ex;" alt="{\displaystyle p_{v}=x_{v}\,p}"></span>. </p><p> Relation utile<sup id="cite_ref-:5_10-0" class="reference"><a href="#cite_note-:5-10"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>R</mi> <mspace width="thinmathspace" /> <mi>T</mi> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>&#x03B4;<!-- δ --></mi> </mrow> <mi>p</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e3dad9a87dde224309b64e1a837e6c02ae70632" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:18.851ex; height:6.176ex;" alt="{\displaystyle V_{m}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}"></span> où <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> est la <a href="/wiki/Constante_universelle_des_gaz_parfaits" title="Constante universelle des gaz parfaits">constante universelle des gaz parfaits</a>.</p><div class="NavFrame" style="border: thin solid #aaaaaa; margin:1em 2em; padding: 0 1em; font-size:100%; text-align:justify; overflow:hidden;"> <div class="NavHead" style="background-color:transparent; color:inherit; padding:0;">Démonstration</div><div class="NavContent" style="padding-bottom:0.4em"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {n_{v}\,M_{v}}{n_{a}\,M_{a}}}=\delta {\frac {p_{v}}{p_{a}}}=\delta {\frac {p_{v}}{p-p_{v}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>&#x03B4;<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mi>&#x03B4;<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {n_{v}\,M_{v}}{n_{a}\,M_{a}}}=\delta {\frac {p_{v}}{p_{a}}}=\delta {\frac {p_{v}}{p-p_{v}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/243cfde25c65cfa6bc4658e558bea8d2ff033335" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:29.669ex; height:5.676ex;" alt="{\displaystyle r={\frac {n_{v}\,M_{v}}{n_{a}\,M_{a}}}=\delta {\frac {p_{v}}{p_{a}}}=\delta {\frac {p_{v}}{p-p_{v}}}}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p-p_{v}=p_{v}{\frac {\delta }{r}}=x_{v}\,p\,{\frac {\delta }{r}}={\frac {r}{r+\delta }}\,p\,{\frac {\delta }{r}}={\frac {\delta }{r+\delta }}\,p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03B4;<!-- δ --></mi> <mi>r</mi> </mfrac> </mrow> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>p</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03B4;<!-- δ --></mi> <mi>r</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>r</mi> <mrow> <mi>r</mi> <mo>+</mo> <mi>&#x03B4;<!-- δ --></mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mi>p</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03B4;<!-- δ --></mi> <mi>r</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03B4;<!-- δ --></mi> <mrow> <mi>r</mi> <mo>+</mo> <mi>&#x03B4;<!-- δ --></mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p-p_{v}=p_{v}{\frac {\delta }{r}}=x_{v}\,p\,{\frac {\delta }{r}}={\frac {r}{r+\delta }}\,p\,{\frac {\delta }{r}}={\frac {\delta }{r+\delta }}\,p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/950b8d7fc96cb0ec175688f91370fb21f11f1764" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; margin-left: -0.089ex; width:45.896ex; height:5.676ex;" alt="{\displaystyle p-p_{v}=p_{v}{\frac {\delta }{r}}=x_{v}\,p\,{\frac {\delta }{r}}={\frac {r}{r+\delta }}\,p\,{\frac {\delta }{r}}={\frac {\delta }{r+\delta }}\,p}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {V}{n_{a}\,M_{a}}}={\frac {R\,T}{(p-p_{v})\,M_{a}}}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>R</mi> <mspace width="thinmathspace" /> <mi>T</mi> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>R</mi> <mspace width="thinmathspace" /> <mi>T</mi> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>&#x03B4;<!-- δ --></mi> </mrow> <mi>p</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {V}{n_{a}\,M_{a}}}={\frac {R\,T}{(p-p_{v})\,M_{a}}}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/860191bdd0eb8fd792905e64e8699ad2be822431" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:44.721ex; height:6.509ex;" alt="{\displaystyle V_{m}={\frac {V}{n_{a}\,M_{a}}}={\frac {R\,T}{(p-p_{v})\,M_{a}}}={\frac {R\,T}{M_{a}}}{\frac {1+r/\delta }{p}}}"></span> </p><p>Si on isole <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span>, on obtient aussi&#160;: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=\delta \left({\frac {p\,V_{m}\,M_{a}}{R\,T}}-1\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mi>&#x03B4;<!-- δ --></mi> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mspace width="thinmathspace" /> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <mi>R</mi> <mspace width="thinmathspace" /> <mi>T</mi> </mrow> </mfrac> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=\delta \left({\frac {p\,V_{m}\,M_{a}}{R\,T}}-1\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7f30920d1be3e00677fa1d10b97aff3e2b9582f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.173ex; height:6.176ex;" alt="{\displaystyle r=\delta \left({\frac {p\,V_{m}\,M_{a}}{R\,T}}-1\right)}"></span> </p> </div><div class="clear" style="clear:both;"></div> </div> <div class="mw-heading mw-heading4"><h4 id="Pression_de_vapeur_saturante_en_phase_pure">Pression de vapeur saturante en phase pure</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=7" title="Modifier la section : Pression de vapeur saturante en phase pure" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=7" title="Modifier le code source de la section : Pression de vapeur saturante en phase pure"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé&#160;: <a href="/wiki/Pression_de_vapeur_saturante_de_l%27eau" title="Pression de vapeur saturante de l&#39;eau">Pression de vapeur saturante de l'eau</a>.</div></div> <p>La pression de vapeur saturante de l'eau <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{\text{sat}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{\text{sat}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d08824e20e6b7e617a45ab1b4b6c77efe990b4e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:3.601ex; height:2.009ex;" alt="{\displaystyle p_{\text{sat}}}"></span> (par rapport à l'eau liquide ou par rapport à la glace selon l'état de la phase condensée) est la <a href="/wiki/Pression" title="Pression">pression</a> à laquelle la <a href="/wiki/Vapeur_d%27eau" title="Vapeur d&#39;eau">vapeur d'eau</a> est en <a href="/wiki/%C3%89quilibre_thermodynamique" title="Équilibre thermodynamique">équilibre thermodynamique</a> avec son état condensé. La norme <a href="#X15">NF X15-110</a> utilise <a href="/wiki/Pression_de_vapeur_saturante_de_l%27eau#Sonntag_;_NF_X15-110" title="Pression de vapeur saturante de l&#39;eau">les formules de D. Sonntag</a> comme référence. </p> <div class="mw-heading mw-heading4"><h4 id="Pression_de_vapeur_saturante_de_l'air_humide"><span id="Pression_de_vapeur_saturante_de_l.27air_humide"></span>Pression de vapeur saturante de l'air humide</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=8" title="Modifier la section : Pression de vapeur saturante de l&#039;air humide" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=8" title="Modifier le code source de la section : Pression de vapeur saturante de l&#039;air humide"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La pression de vapeur saturante de l'air humide est définie par<sup id="cite_ref-:02_9-1" class="reference"><a href="#cite_note-:02-9"><span class="cite_crochet">[</span>5<span class="cite_crochet">]</span></a></sup>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p'_{\text{sat}}=x_{v\,{\text{sat}}}\,p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </mrow> </msub> <mspace width="thinmathspace" /> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p'_{\text{sat}}=x_{v\,{\text{sat}}}\,p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b8aef57f16a619cacad7ffd81ace8cccdebc740" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:13.112ex; height:2.676ex;" alt="{\displaystyle p&#039;_{\text{sat}}=x_{v\,{\text{sat}}}\,p}"></span> , avec <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{v\,{\text{sat}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{v\,{\text{sat}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0b13d68dd12a9bfc829fa5dae868d399a9d5ce5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.856ex; height:2.009ex;" alt="{\displaystyle x_{v\,{\text{sat}}}}"></span> la fraction molaire de vapeur d'eau de l'air humide saturé, en présence d'eau ou de glace. </p><p>La pression de vapeur saturante de l'air humide peut être évaluée à l'aide du facteur d'augmentation <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p'_{\text{sat}}(p,T)=f(p,T)\,p_{\text{sat}}(T)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </msub> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p'_{\text{sat}}(p,T)=f(p,T)\,p_{\text{sat}}(T)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2f5cb851cf8cf8b76eae1c6f4938425f1993629" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:26.619ex; height:2.843ex;" alt="{\displaystyle p&#039;_{\text{sat}}(p,T)=f(p,T)\,p_{\text{sat}}(T)}"></span>&#160;; la norme <a href="#X15">NF X15-110</a> utilise <a href="/wiki/Pression_de_vapeur_saturante_de_l%27eau#Sonntag_;_NF_X15-110" title="Pression de vapeur saturante de l&#39;eau">les formules de D. Sonntag</a> comme référence. Le facteur d'augmentation permet de tenir compte de l'effet des gaz dissous et de la pression sur les propriétés de la phase condensée, et de l'effet de des forces intermoléculaires, différentes de celles de l'eau pure, sur les propriétés de la phase gazeuse. </p> <div class="mw-heading mw-heading3"><h3 id="Températures_thermodynamiques"><span id="Temp.C3.A9ratures_thermodynamiques"></span>Températures thermodynamiques</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=9" title="Modifier la section : Températures thermodynamiques" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=9" title="Modifier le code source de la section : Températures thermodynamiques"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La <a href="/wiki/Temp%C3%A9rature" title="Température">température</a> de l'air est parfois appelée «&#160;température sèche&#160;», par opposition à la température humide, même si ce terme est progressivement abandonné<sup id="cite_ref-:12_11-0" class="reference"><a href="#cite_note-:12-11"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading4"><h4 id="Température_du_point_de_rosée_ou_du_point_de_gelée"><span id="Temp.C3.A9rature_du_point_de_ros.C3.A9e_ou_du_point_de_gel.C3.A9e"></span>Température du point de rosée ou du point de gelée</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=10" title="Modifier la section : Température du point de rosée ou du point de gelée" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=10" title="Modifier le code source de la section : Température du point de rosée ou du point de gelée"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Articles détaillés&#160;: <a href="/wiki/Point_de_ros%C3%A9e" title="Point de rosée">Point de rosée</a> et <a href="/wiki/Point_de_givrage" title="Point de givrage">Point de givrage</a>.</div></div> <p>La température du point de rosée <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d42a2f96162536ac26ef7cefedb159170597124" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.331ex; height:2.509ex;" alt="{\displaystyle T_{r}}"></span> (et de façon analogue la température du point de gelée <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{g}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{g}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8e95177ce2147ed7b88f95acad4c46bfd195ee1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.379ex; height:2.843ex;" alt="{\displaystyle T_{g}}"></span>) est la température à laquelle l'air humide, pour une pression <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> et un rapport de mélange <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> donnés, est saturé par rapport à l'eau (ou à la glace). À cette température, la pression partielle de vapeur d'eau s'exprime<sup id="cite_ref-:3_8-2" class="reference"><a href="#cite_note-:3-8"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{v}=p'_{\text{sat}}(p,T_{r})=f(p,T_{r})\,p_{\text{sat}}(T_{r})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{v}=p'_{\text{sat}}(p,T_{r})=f(p,T_{r})\,p_{\text{sat}}(T_{r})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07a91c76170e42c3c4c6d72be5351150171f71d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:34.002ex; height:2.843ex;" alt="{\displaystyle p_{v}=p&#039;_{\text{sat}}(p,T_{r})=f(p,T_{r})\,p_{\text{sat}}(T_{r})}"></span>. </p><p>Puisque les fonctions qui permettent de calculer la pression de vapeur saturante ne peut pas être inversée analytiquement, la température de rosée peut être calculée par le biais de formules approchées ou par résolution numérique. </p> <div class="mw-heading mw-heading4"><h4 id="Température_humide"><span id="Temp.C3.A9rature_humide"></span>Température humide</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=11" title="Modifier la section : Température humide" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=11" title="Modifier le code source de la section : Température humide"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé&#160;: <a href="/wiki/Temp%C3%A9rature_du_thermom%C3%A8tre_mouill%C3%A9" title="Température du thermomètre mouillé">Température du thermomètre mouillé</a>.</div></div> <p>Pour un échantillon de rapport de mélange <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span>, à la pression <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> et à la température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>, la température humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span>, dite aussi température du thermomètre mouillé, est la température de l'échantillon une fois que suffisamment d'eau se serait évaporée pour que l'air humide atteigne la saturation, sachant l'énergie nécessaire à l'évaporation aurait été cédée par l'air humide. </p><p>De façon analogue, la température humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8dd1c50cb9436474f83624c3f679ccf3eebbfef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.157ex; height:2.509ex;" alt="{\displaystyle T_{i}}"></span>, dite aussi température du thermomètre recouvert de glace, serait la température de l'échantillon qui atteindrait la saturation après sublimation de la glace. </p><p>La température humide peut être liée à la température de rosée par la relation<sup id="cite_ref-:3_8-3" class="reference"><a href="#cite_note-:3-8"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p'_{\text{sat}}(p,T_{r})=p'_{\text{sat}}(p,T_{h})-A\times p\times (T-T_{h})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo>&#x2032;</mo> </msubsup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>A</mi> <mo>&#x00D7;<!-- × --></mo> <mi>p</mi> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mi>T</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p'_{\text{sat}}(p,T_{r})=p'_{\text{sat}}(p,T_{h})-A\times p\times (T-T_{h})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5a30098116a11b88438273fa0010867bf9b8112c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:43.36ex; height:2.843ex;" alt="{\displaystyle p&#039;_{\text{sat}}(p,T_{r})=p&#039;_{\text{sat}}(p,T_{h})-A\times p\times (T-T_{h})}"></span>,</dd></dl> <p>où <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> est le coefficient psychrométrique<sup id="cite_ref-:3_8-4" class="reference"><a href="#cite_note-:3-8"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup> dont une valeur approchée est donnée par </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A={\frac {c_{p_{a}}}{\delta \,\Delta h_{\text{vap}}(T_{h})}}{\frac {p-p'_{w\,{\text{sat}}}}{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mrow> <mi>&#x03B4;<!-- δ --></mi> <mspace width="thinmathspace" /> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vap</mtext> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msubsup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>w</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> </mrow> <mo>&#x2032;</mo> </msubsup> </mrow> <mi>p</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A={\frac {c_{p_{a}}}{\delta \,\Delta h_{\text{vap}}(T_{h})}}{\frac {p-p'_{w\,{\text{sat}}}}{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5f472f5d3096f2f8f8a7b1c0198bc8eb953a6346" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:27.491ex; height:6.509ex;" alt="{\displaystyle A={\frac {c_{p_{a}}}{\delta \,\Delta h_{\text{vap}}(T_{h})}}{\frac {p-p&#039;_{w\,{\text{sat}}}}{p}}}"></span>,</dd></dl> <p>avec <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{p_{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{p_{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53de94224fc967293914c1243c4d325ed1cb4d2e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.936ex; height:2.343ex;" alt="{\displaystyle c_{p_{a}}}"></span> la <a href="/wiki/Capacit%C3%A9_thermique_massique" title="Capacité thermique massique">capacité thermique massique</a> à pression constante de l'air sec, qui peut être considérée comme constante, et <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta h_{\text{vap}}(T_{h})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vap</mtext> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta h_{\text{vap}}(T_{h})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1d310025ff4eaba6c5bf6f0a8ea5e9b59ede165" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:10.457ex; height:3.009ex;" alt="{\displaystyle \Delta h_{\text{vap}}(T_{h})}"></span> l'<a href="/wiki/Enthalpie_de_vaporisation" title="Enthalpie de vaporisation">enthalpie massique de vaporisation</a> de l'eau à la température humide. </p> <div class="mw-heading mw-heading3"><h3 id="Enthalpie">Enthalpie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=12" title="Modifier la section : Enthalpie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=12" title="Modifier le code source de la section : Enthalpie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'<a href="/wiki/Enthalpie" title="Enthalpie">enthalpie</a> est une <a href="/wiki/Fonction_d%27%C3%A9tat" title="Fonction d&#39;état">fonction d'état</a> particulièrement utile à l'étude des <a href="/wiki/Syst%C3%A8me_ouvert" title="Système ouvert">systèmes ouverts</a> et pour les calculs énergétiques des équipements. L'enthalpie de l'air humide est la somme de l'enthalpie de l'air sec et de l'enthalpie de la vapeur d'eau. Parfois, il peut être nécessaire de tenir compte de l'enthalpie de la phase condensée. Par convention, on adopte les valeurs de référence pour une température de 0 °C, et la phase liquide pour l'eau<sup id="cite_ref-:12_11-1" class="reference"><a href="#cite_note-:12-11"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup>&#160;; ainsi, les températures sont exprimées ici en <a href="/wiki/Degr%C3%A9_Celsius" title="Degré Celsius">degré Celsius</a>. </p> <ul><li>Enthalpie de l'air sec&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H_{a}=m_{a}\,c_{p_{a}}\,\theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H_{a}=m_{a}\,c_{p_{a}}\,\theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/704e1f2518082c3b43c3fda2b8ae9a108be19097" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:14.075ex; height:2.843ex;" alt="{\displaystyle H_{a}=m_{a}\,c_{p_{a}}\,\theta }"></span>.</li> <li>Enthalpie de la vapeur d'eau&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H_{v}=m_{v}\left(\Delta h_{\text{vap}}(0\,^{\circ }\mathrm {C} )+c_{p_{v}}\,\theta \right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vap</mtext> </mrow> </msub> <mo stretchy="false">(</mo> <mn>0</mn> <msup> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">C</mi> </mrow> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H_{v}=m_{v}\left(\Delta h_{\text{vap}}(0\,^{\circ }\mathrm {C} )+c_{p_{v}}\,\theta \right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a9881d9d19d05da4326426d98f5a1754b939b70e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:31.044ex; height:3.176ex;" alt="{\displaystyle H_{v}=m_{v}\left(\Delta h_{\text{vap}}(0\,^{\circ }\mathrm {C} )+c_{p_{v}}\,\theta \right)}"></span>&#160;; il faut prendre en compte l'énergie nécessaire à l'évaporation de l'eau compte-tenu de la convention adoptée.</li> <li>Enthalpie massique de l'air humide exprimée en joule par kilogramme d'air sec<sup id="cite_ref-:12_11-2" class="reference"><a href="#cite_note-:12-11"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup> (J/kg AS)&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h=h_{a}+r\,h_{v}=c_{p_{a}}\,\theta +r\left(\Delta h_{\text{vap}}\left(0\,^{\circ }\mathrm {C} \right)+c_{p_{v}}\,\theta \right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>+</mo> <mi>r</mi> <mspace width="thinmathspace" /> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> <mo>+</mo> <mi>r</mi> <mrow> <mo>(</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vap</mtext> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mn>0</mn> <msup> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">C</mi> </mrow> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h=h_{a}+r\,h_{v}=c_{p_{a}}\,\theta +r\left(\Delta h_{\text{vap}}\left(0\,^{\circ }\mathrm {C} \right)+c_{p_{v}}\,\theta \right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35acd5f043a2a7d412f8e4901675be3335091ab4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:47.226ex; height:3.176ex;" alt="{\displaystyle h=h_{a}+r\,h_{v}=c_{p_{a}}\,\theta +r\left(\Delta h_{\text{vap}}\left(0\,^{\circ }\mathrm {C} \right)+c_{p_{v}}\,\theta \right)}"></span>.</li> <li>Enthalpie de l'eau liquide&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H_{e}=m_{e}\,c_{p_{e}}\,\theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H_{e}=m_{e}\,c_{p_{e}}\,\theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ae2de6a99288afc81d56e74a72338a52b85ea9c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:13.784ex; height:2.843ex;" alt="{\displaystyle H_{e}=m_{e}\,c_{p_{e}}\,\theta }"></span>.</li></ul> <p>Par souci de simplification les valeurs des capacités thermiques et de l'enthalpie de vaporisation de l'eau sont souvent considérées constantes. Pour plus de précision elles peuvent être estimées par interpolation linéaires à partir de tables disponibles dans la plupart des ouvrages. </p><p> Relation utile<sup id="cite_ref-:5_10-1" class="reference"><a href="#cite_note-:5-10"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mrow> <mo>[</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mo>]</mo> </mrow> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8228ef3314f3d2c632e5fd3109c17626644c816" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:45.909ex; height:6.843ex;" alt="{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}"></span>.</p><div class="NavFrame" style="border: thin solid #aaaaaa; margin:1em 2em; padding: 0 1em; font-size:100%; text-align:justify; overflow:hidden;"> <div class="NavHead" style="background-color:transparent; color:inherit; padding:0;">Démonstration</div><div class="NavContent" style="padding-bottom:0.4em"> <p>Pour un échantillon à la température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>, de l'eau s'évapore jusqu'à atteindre à la saturation la température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span>. Le rapport de mélange passe de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> à <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78e3ed2e9432704de0596c24abd6a8096bdd535a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.228ex; height:2.009ex;" alt="{\displaystyle r_{h}}"></span>. La transformation est adiabatique, l'énergie nécessaire à la vaporisation est prélevée à l'eau&#160;; la température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span> finale est inférieure à la température initiale <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>. L'enthalpie initiale de la partie gazeuse est </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h_{1}=c_{p_{a}}\,\theta +r\left(\Delta h_{vap}+c_{p_{v}}\,\theta \right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> <mo>+</mo> <mi>r</mi> <mrow> <mo>(</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h_{1}=c_{p_{a}}\,\theta +r\left(\Delta h_{vap}+c_{p_{v}}\,\theta \right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa5bb33207cbc1807a8d2cdcb67f2a6723e0021f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:29.508ex; height:3.176ex;" alt="{\displaystyle h_{1}=c_{p_{a}}\,\theta +r\left(\Delta h_{vap}+c_{p_{v}}\,\theta \right)}"></span>,</dd></dl> <p>et, de la même manière, l'enthalpie finale de la phase gazeuse s'exprime </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h_{2}=c_{p_{a}}\,\theta _{h}+r_{h}\left(\Delta h_{vap}+c_{p_{v}}\,\theta _{h}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h_{2}=c_{p_{a}}\,\theta _{h}+r_{h}\left(\Delta h_{vap}+c_{p_{v}}\,\theta _{h}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1bb6c4d2b966ce4af5ce08bbbd97b5645021d132" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:33.045ex; height:3.176ex;" alt="{\displaystyle h_{2}=c_{p_{a}}\,\theta _{h}+r_{h}\left(\Delta h_{vap}+c_{p_{v}}\,\theta _{h}\right)}"></span>.</dd></dl> <p>L'énergie qui a permis la vaporisation vaut approximativement <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta h\approx \left(r_{h}-r\right)c_{p_{e}}\,\theta _{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>h</mi> <mo>&#x2248;<!-- ≈ --></mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <mi>r</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta h\approx \left(r_{h}-r\right)c_{p_{e}}\,\theta _{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a45007f2d41113cbcf0d1de42bc98c2ad5be3e24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:20.195ex; height:3.009ex;" alt="{\displaystyle \Delta h\approx \left(r_{h}-r\right)c_{p_{e}}\,\theta _{h}}"></span>. </p><p>On peut ainsi obtenir une expression de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> en fonction des températures et de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78e3ed2e9432704de0596c24abd6a8096bdd535a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.228ex; height:2.009ex;" alt="{\displaystyle r_{h}}"></span>&#160;: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mrow> <mo>[</mo> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mo>]</mo> </mrow> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> <mi>a</mi> <mi>p</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mrow> </msub> <mspace width="thinmathspace" /> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8228ef3314f3d2c632e5fd3109c17626644c816" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:45.909ex; height:6.843ex;" alt="{\displaystyle r={\frac {r_{h}\left[\Delta h_{vap}+\left(c_{p_{v}}-c_{p_{e}}\right)\theta _{h}\right]-c_{p_{a}}\left(\theta -\theta _{h}\right)}{\Delta h_{vap}+c_{p_{v}}\,\theta -c_{p_{e}}\,\theta _{h}}}}"></span> </p><p>L'air est saturé à l'état final, alors <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78e3ed2e9432704de0596c24abd6a8096bdd535a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.228ex; height:2.009ex;" alt="{\displaystyle r_{h}}"></span> peut être facilement calculée connaissant <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span>, car <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=\delta \,{\frac {p_{v}}{p-p_{v}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mi>&#x03B4;<!-- δ --></mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mrow> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=\delta \,{\frac {p_{v}}{p-p_{v}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca8367d975d187d89f23585bb2dd8bb992e962b6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:12.628ex; height:5.343ex;" alt="{\displaystyle r=\delta \,{\frac {p_{v}}{p-p_{v}}}}"></span>&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r_{h}=\delta \,{\frac {p_{{\text{sat}}(p,T_{h})}}{p-p_{{\text{sat}}(p,T_{h})}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo>=</mo> <mi>&#x03B4;<!-- δ --></mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </msub> <mrow> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mtext>sat</mtext> </mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{h}=\delta \,{\frac {p_{{\text{sat}}(p,T_{h})}}{p-p_{{\text{sat}}(p,T_{h})}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b339979672df4dc49bba1fdf9d96c3d3c3ed7ff6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:19.576ex; height:6.009ex;" alt="{\displaystyle r_{h}=\delta \,{\frac {p_{{\text{sat}}(p,T_{h})}}{p-p_{{\text{sat}}(p,T_{h})}}}}"></span>. </p> </div><div class="clear" style="clear:both;"></div> </div> <div class="mw-heading mw-heading2"><h2 id="Diagrammes_de_l'air_humide"><span id="Diagrammes_de_l.27air_humide"></span>Diagrammes de l'air humide</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=13" title="Modifier la section : Diagrammes de l&#039;air humide" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=13" title="Modifier le code source de la section : Diagrammes de l&#039;air humide"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fichier:PsychrometricChart-SeaLevel-SI.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/PsychrometricChart-SeaLevel-SI.jpg/220px-PsychrometricChart-SeaLevel-SI.jpg" decoding="async" width="220" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/PsychrometricChart-SeaLevel-SI.jpg/330px-PsychrometricChart-SeaLevel-SI.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/PsychrometricChart-SeaLevel-SI.jpg/440px-PsychrometricChart-SeaLevel-SI.jpg 2x" data-file-width="1412" data-file-height="1032" /></a><figcaption>Diagramme de Carrier</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fichier:Mollier.pdf" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Mollier.pdf/page1-220px-Mollier.pdf.jpg" decoding="async" width="220" height="170" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Mollier.pdf/page1-330px-Mollier.pdf.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/59/Mollier.pdf/page1-440px-Mollier.pdf.jpg 2x" data-file-width="1650" data-file-height="1275" /></a><figcaption>Diagramme de Mollier-Ramzine</figcaption></figure> <p>Les diagrammes de l'air humide, souvent nommés diagrammes psychrométriques, ont tous en commun de représenter les grandeurs principales qui caractérisent l'air humide&#160;: température <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>, rapport de mélange <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span>, humidité relative <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.783ex; height:2.176ex;" alt="{\displaystyle U}"></span>, température humide <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eaacb63fcdf3a344175b45b3bab7910f8fc3e40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.537ex; height:2.509ex;" alt="{\displaystyle T_{h}}"></span>, volume spécifique <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40836783b20c374654ab03ddd6b01586ad9b4fb8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.03ex; height:2.509ex;" alt="{\displaystyle V_{m}}"></span>, enthalpie massique <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span>. La connaissance de deux grandeurs permet de connaître toutes les autres par simple lecture. Dans tous les cas, un diagramme n'est valable pour une seule pression atmosphérique <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p_{\text{atm}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>atm</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{\text{atm}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a97952852470b72a845c91d63a7c98a2390ff553" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:4.322ex; height:2.009ex;" alt="{\displaystyle p_{\text{atm}}}"></span> pour laquelle les calculs ont été effectués. </p><p>Toutefois, dans leur diversité, il existe des différences, entre eux. La façon de les utiliser reste très similaire quels que soient les choix de représentation. Les noms donnés à chaque diagramme diffèrent parfois selon les auteurs. On peut tout de même distinguer deux catégories de diagrammes. </p> <ul><li>Les diagrammes qui présentent le rapport de mélange <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> en ordonnée et ce sont les plus couramment utilisés dans le domaine de la climatisation. Ils présentent tantôt la température en abscisses dans un repère orthogonal, tantôt l'enthalpie en abscisses selon un axe oblique. <ul><li>Dans le premier cas, on parle le diagramme de <a href="/wiki/Willis_Haviland_Carrier" title="Willis Haviland Carrier">Carrier</a><sup id="cite_ref-:42_12-0" class="reference"><a href="#cite_note-:42-12"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-:62_13-0" class="reference"><a href="#cite_note-:62-13"><span class="cite_crochet">[</span>9<span class="cite_crochet">]</span></a></sup> ou de diagramme de Grosvenor<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite_crochet">[</span>10<span class="cite_crochet">]</span></a></sup>&#160;: malgré des apparences trompeuses, les lignes isenthalpiques ne sont pas parallèles.</li> <li>Dans le second cas, on parle du diagramme de Véron-Casari<sup id="cite_ref-:42_12-1" class="reference"><a href="#cite_note-:42-12"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-:72_15-0" class="reference"><a href="#cite_note-:72-15"><span class="cite_crochet">[</span>11<span class="cite_crochet">]</span></a></sup> ou de pseudo-diagramme de Carrier<sup id="cite_ref-:72_15-1" class="reference"><a href="#cite_note-:72-15"><span class="cite_crochet">[</span>11<span class="cite_crochet">]</span></a></sup>. Les représentations moderne sont fondées sur ce principe, c'est le choix effectué par nombre d'associations représentatives des professionnels de la climatisation&#160;: l'AICVF<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite_crochet">[</span>12<span class="cite_crochet">]</span></a></sup> le <a href="/wiki/Comit%C3%A9_scientifique_et_technique_des_industries_climatiques" title="Comité scientifique et technique des industries climatiques">COSTIC</a><sup id="cite_ref-:42_12-2" class="reference"><a href="#cite_note-:42-12"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup> ou encore l'<a href="/wiki/American_Society_of_Heating,_Refrigerating_and_Air-Conditioning_Engineers" title="American Society of Heating, Refrigerating and Air-Conditioning Engineers">ASHRAE</a><sup id="cite_ref-:42_12-3" class="reference"><a href="#cite_note-:42-12"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup>. Les lignes isenthalpiques sont parallèles et par conséquent, les lignes isothermes divergent légèrement dans ce type de représentation.</li></ul></li></ul> <ul><li>Les diagrammes qui présentent le rapport de mélange <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> en abscisses sont davantage utilisés dans le domaine du séchage. L'enthalpie est présentée en ordonnées sur un axe oblique qui permet généralement d'obtenir une isotherme à 0)C horizontale. On parle le plus souvent de diagramme de <a href="/wiki/Richard_Mollier" title="Richard Mollier">Mollier</a><sup id="cite_ref-:42_12-4" class="reference"><a href="#cite_note-:42-12"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-:62_13-1" class="reference"><a href="#cite_note-:62-13"><span class="cite_crochet">[</span>9<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite_crochet">[</span>13<span class="cite_crochet">]</span></a></sup> — mais le nom diagramme de Mollier-Ramzine<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite_crochet">[</span>14<span class="cite_crochet">]</span></a></sup> permet d'éliminer l'ambiguïté avec le <a href="/wiki/Diagramme_enthalpique" title="Diagramme enthalpique">diagramme enthalpique</a> <span class="texhtml">(<i>h</i>,<i>s</i>)</span> souvent nommé diagramme de Mollier. Les lignes isenthalpiques sont parallèles, les lignes isothermes divergent légèrement.</li></ul> <p>Un diagramme psychrométrique permet de représenter les différentes transformations rencontrées lors du conditionnement de l'air (chauffage, refroidissement, déshumidification, etc.) et de déduire graphiquement les énergies mises en jeu ou les propriétés de l'air en fin de transformation. </p> <div class="mw-heading mw-heading2"><h2 id="Hygromètres"><span id="Hygrom.C3.A8tres"></span>Hygromètres</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=14" title="Modifier la section : Hygromètres" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=14" title="Modifier le code source de la section : Hygromètres"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé&#160;: <a href="/wiki/Hygrom%C3%A8tre" title="Hygromètre">Hygromètre</a>.</div></div><p> La mesure de l'humidité de l'air peut être effectuée de diverses manières en s'appuyant sur des phénomènes physiques variés. Dans tous les cas, et comme expliqué dans le paragraphe précédent, il est nécessaire de mesurer deux des grandeurs pour connaître toutes les autres. Ainsi, on mesure la température de l'air plus une autre grandeur.</p><ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Fichier:Hair_hygrometer-MHS_106-P5200227-gradient.jpg" class="mw-file-description" title="Hygromètre à cheveu"><img alt="Hygromètre à cheveu" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Hair_hygrometer-MHS_106-P5200227-gradient.jpg/120px-Hair_hygrometer-MHS_106-P5200227-gradient.jpg" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Hair_hygrometer-MHS_106-P5200227-gradient.jpg/180px-Hair_hygrometer-MHS_106-P5200227-gradient.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Hair_hygrometer-MHS_106-P5200227-gradient.jpg/240px-Hair_hygrometer-MHS_106-P5200227-gradient.jpg 2x" data-file-width="5000" data-file-height="5000" /></a></span></div> <div class="gallerytext">Hygromètre à cheveu</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Fichier:Psychrometer_zeal.jpg" class="mw-file-description" title="Psychromètre"><img alt="Psychromètre" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Psychrometer_zeal.jpg/86px-Psychrometer_zeal.jpg" decoding="async" width="86" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Psychrometer_zeal.jpg/129px-Psychrometer_zeal.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Psychrometer_zeal.jpg/172px-Psychrometer_zeal.jpg 2x" data-file-width="2137" data-file-height="2980" /></a></span></div> <div class="gallerytext">Psychromètre</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Fichier:Capacitive_humidity_sensor_SHT.jpg" class="mw-file-description" title="Hygromètre à variation de capacité"><img alt="Hygromètre à variation de capacité" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/39/Capacitive_humidity_sensor_SHT.jpg/112px-Capacitive_humidity_sensor_SHT.jpg" decoding="async" width="112" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/39/Capacitive_humidity_sensor_SHT.jpg/167px-Capacitive_humidity_sensor_SHT.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/39/Capacitive_humidity_sensor_SHT.jpg/223px-Capacitive_humidity_sensor_SHT.jpg 2x" data-file-width="506" data-file-height="544" /></a></span></div> <div class="gallerytext">Hygromètre à variation de capacité</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Fichier:Figure-4.jpg" class="mw-file-description" title="Principe de l&#39;hygromètre à condensation"><img alt="Principe de l&#39;hygromètre à condensation" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/Figure-4.jpg/120px-Figure-4.jpg" decoding="async" width="120" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/Figure-4.jpg/180px-Figure-4.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/37/Figure-4.jpg/240px-Figure-4.jpg 2x" data-file-width="1918" data-file-height="1536" /></a></span></div> <div class="gallerytext">Principe de l'hygromètre à condensation</div> </li> </ul> <ul><li>Un hygromètre à cheveu<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite_crochet">[</span>15<span class="cite_crochet">]</span></a></sup> utilise un cheveu ou un crin de cheval. Lorsque l'humidité augmente le cheveu s'allonge&#160;; fixé à un ressort il entraine la rotation d'un axe qui porte une aiguille. Cette dernière indique l'humidité relative de l'air.</li></ul> <ul><li>Un psychromètre<sup id="cite_ref-:8_20-0" class="reference"><a href="#cite_note-:8-20"><span class="cite_crochet">[</span>16<span class="cite_crochet">]</span></a></sup> est un hygromètre constitué de deux thermomètres. L'un d'eux mesure la température de l'air tandis que l'autre, recouvert d'une gaze humidifiée à l'eau déminéralisée mesure la température humide. Les deux thermomètre doivent être convenablement ventilés.</li> <li>Un hygromètre à condensation<sup id="cite_ref-:8_20-1" class="reference"><a href="#cite_note-:8-20"><span class="cite_crochet">[</span>16<span class="cite_crochet">]</span></a></sup> est équipé d'un dispositif qui refroidit par <a href="/wiki/Effet_Peltier" title="Effet Peltier">effet Peltier</a> une petite surface jusqu'à la condensation, observée par un détecteur optique&#160;: un thermomètre mesure alors la température du <a href="/wiki/Point_de_ros%C3%A9e" title="Point de rosée">point de rosée</a> ou du point de gelée.</li> <li>Un hygromètre à variation d'impédance<sup id="cite_ref-:8_20-2" class="reference"><a href="#cite_note-:8-20"><span class="cite_crochet">[</span>16<span class="cite_crochet">]</span></a></sup> est constitué d'un matériau <a href="/wiki/Hygroscopique" title="Hygroscopique">hygroscopique</a> dont la teneur en eau varie en fonction de l'humidité de l'air et dont les propriétés électriques permettent de relier leur <a href="/wiki/R%C3%A9sistance_(%C3%A9lectricit%C3%A9)" title="Résistance (électricité)">résistance</a> pour certains, leur <a href="/wiki/Capacit%C3%A9_%C3%A9lectrique" title="Capacité électrique">capacité</a> pour d'autres, à l'humidité relative de l'air.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=15" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=15" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Notes">Notes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=16" title="Modifier la section : Notes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=16" title="Modifier le code source de la section : Notes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-3"><span class="mw-cite-backlink noprint"><a href="#cite_ref-3">↑</a> </span><span class="reference-text"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3952acec4181822fdb8e2a1ade89550d85b569e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.356ex; height:2.509ex;" alt="{\displaystyle M_{a}}"></span> = 28,964&#160;55&#160;× 10<sup>−3</sup>&#160;<abbr class="abbr" title="kilogramme par mole">kg&#160;mol<sup>−1</sup></abbr> selon <a href="#X15">NF X15-110 1994</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;6-7</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink noprint"><a href="#cite_ref-4">↑</a> </span><span class="reference-text"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3952acec4181822fdb8e2a1ade89550d85b569e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.356ex; height:2.509ex;" alt="{\displaystyle M_{a}}"></span> = 28,966&#160;× 10<sup>−3</sup>&#160;<abbr class="abbr" title="kilogramme par mole">kg&#160;mol<sup>−1</sup></abbr> selon <a href="#ASHRAE">ASHRAE 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;1.8.</span> </li> <li id="cite_note-:0-5"><span class="mw-cite-backlink noprint"><a href="#cite_ref-:0_5-0">↑</a> </span><span class="reference-text"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B4;<!-- δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:2.343ex;" alt="{\displaystyle \delta }"></span> = 0,621&#160;98 selon <a href="#X15">NF X15-110 1994</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;6-7</span> </li> <li id="cite_note-:1-6"><span class="mw-cite-backlink noprint"><a href="#cite_ref-:1_6-0">↑</a> </span><span class="reference-text"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B4;<!-- δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:2.343ex;" alt="{\displaystyle \delta }"></span> = 0,621&#160;945 selon <a href="#ASHRAE">ASHRAE 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;1.8</span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="Références"><span id="R.C3.A9f.C3.A9rences"></span>Références</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=17" title="Modifier la section : Références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=17" title="Modifier le code source de la section : Références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small decimal" style=""><div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink noprint"><a href="#cite_ref-1">↑</a> </span><span class="reference-text"><span class="ouvrage" id="de_la_traduction"><span class="ouvrage" id="Bureau_de_la_traduction">Bureau de la traduction, «&#160;<a rel="nofollow" class="external text" href="https://www.btb.termiumplus.gc.ca/tpv2guides/guides/clefsfp/index-fra.html?lang=fra&amp;lettr=indx_catlog_h&amp;page=9CtyCdQw1Q90.html"><cite style="font-style:normal;">hydrométrie/hygrométrie</cite></a>&#160;», <span class="italique"><a href="/wiki/TERMIUM_Plus" title="TERMIUM Plus">TERMIUM Plus</a></span>, <a href="/wiki/Services_publics_et_Approvisionnement_Canada" title="Services publics et Approvisionnement Canada">Services publics et Approvisionnement Canada</a> <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2020-05-06" data-sort-value="2020-05-06">6 mai 2020</time>)</small></span></span>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="#cite_ref-2">↑</a> </span><span class="reference-text"><span class="ouvrage" id="ETIK2A2024"><span class="nom_auteur">ETIK2A</span>, <cite class="italique">Conception de maisons tropicales - 2e éd.: Bioclimatiques, sûres, confortables, économiques et respectueuses de l'environnement</cite>, Dunod, <time class="nowrap" datetime="2024-01-17" data-sort-value="2024-01-17">17 janvier 2024</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-10-086540-6" title="Spécial:Ouvrages de référence/978-2-10-086540-6"><span class="nowrap">978-2-10-086540-6</span></a>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=FDnsEAAAQBAJ&amp;newbks=0&amp;printsec=frontcover&amp;pg=PA224&amp;dq=condition+humidit%C3%A9+confort+40+60&amp;hl=fr">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Conception+de+maisons+tropicales+-+2e+%C3%A9d.%3A+Bioclimatiques%2C+s%C3%BBres%2C+confortables%2C+%C3%A9conomiques+et+respectueuses+de+l%27environnement&amp;rft.pub=Dunod&amp;rft.aulast=ETIK2A&amp;rft.date=2024-01-17&amp;rft.isbn=978-2-10-086540-6&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></span> </li> <li id="cite_note-:2-7"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:2_7-0">a</a> <a href="#cite_ref-:2_7-1">b</a> <a href="#cite_ref-:2_7-2">c</a> et <a href="#cite_ref-:2_7-3">d</a></sup> </span><span class="reference-text"><a href="#X15">NF X15-110 1994</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;6-7</span> </li> <li id="cite_note-:3-8"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:3_8-0">a</a> <a href="#cite_ref-:3_8-1">b</a> <a href="#cite_ref-:3_8-2">c</a> <a href="#cite_ref-:3_8-3">d</a> et <a href="#cite_ref-:3_8-4">e</a></sup> </span><span class="reference-text"><a href="#X15">NF X15-110 1994</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;9-11</span> </li> <li id="cite_note-:02-9"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:02_9-0">a</a> et <a href="#cite_ref-:02_9-1">b</a></sup> </span><span class="reference-text"><a href="#X15">NF X15-110 1994</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;7-9</span> </li> <li id="cite_note-:5-10"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:5_10-0">a</a> et <a href="#cite_ref-:5_10-1">b</a></sup> </span><span class="reference-text"><a href="#ASHRAE">ASHRAE 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;1.9</span> </li> <li id="cite_note-:12-11"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:12_11-0">a</a> <a href="#cite_ref-:12_11-1">b</a> et <a href="#cite_ref-:12_11-2">c</a></sup> </span><span class="reference-text"><a href="#BE8025">Crétinon et Blanquart 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;4-10</span> </li> <li id="cite_note-:42-12"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:42_12-0">a</a> <a href="#cite_ref-:42_12-1">b</a> <a href="#cite_ref-:42_12-2">c</a> <a href="#cite_ref-:42_12-3">d</a> et <a href="#cite_ref-:42_12-4">e</a></sup> </span><span class="reference-text"><a href="#BE8025">Crétinon et Blanquart 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;11-12</span> </li> <li id="cite_note-:62-13"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:62_13-0">a</a> et <a href="#cite_ref-:62_13-1">b</a></sup> </span><span class="reference-text"><a href="#B2230">Duminil 1986</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;12</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink noprint"><a href="#cite_ref-14">↑</a> </span><span class="reference-text"><a href="#Green">Don Green 2007</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;12-6 à 12-7</span> </li> <li id="cite_note-:72-15"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:72_15-0">a</a> et <a href="#cite_ref-:72_15-1">b</a></sup> </span><span class="reference-text"><span class="ouvrage" id="Lannaud2013"><span class="ouvrage" id="Jean_Lannaud2013">Jean Lannaud, «&#160;<cite style="font-style:normal">Le nouveau diagramme de l’air humide de l’AICVF</cite>&#160;», <i>CVC</i>,&#8206; <time class="nowrap" datetime="2013" data-sort-value="2013">juillet-octobre 2013</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://aicvf.org/files/2013/10/article_diagramme_cvc880.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF) d&#39;Adobe">&#91;PDF&#93;</abbr>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Le+nouveau+diagramme+de+l%E2%80%99air+humide+de+l%E2%80%99AICVF&amp;rft.jtitle=CVC&amp;rft.aulast=Lannaud&amp;rft.aufirst=Jean&amp;rft.date=2013&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink noprint"><a href="#cite_ref-16">↑</a> </span><span class="reference-text"><a href="#AICVF">aicvf.org</a></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink noprint"><a href="#cite_ref-17">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Vasseur"><span class="ouvrage" id="Jean_Vasseur">Jean Vasseur, <cite class="italique">Séchage industriel&#160;: principes et calcul d'appareils&#160;: Séchage convectif par air chaud (partie 2)</cite>, Ed. Techniques Ingénieur (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;J 2 452) <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.com/books?id=AamTwuqO1pAC&amp;newbks=0">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=S%C3%A9chage+industriel+%3A+principes+et+calcul+d%27appareils&amp;rft.pub=Ed.+Techniques+Ing%C3%A9nieur&amp;rft.stitle=S%C3%A9chage+convectif+par+air+chaud+%28partie+2%29&amp;rft.aulast=Vasseur&amp;rft.aufirst=Jean&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink noprint"><a href="#cite_ref-18">↑</a> </span><span class="reference-text"><span class="ouvrage" id="BonazziBimbenet2008"><span class="ouvrage" id="Catherine_BonazziJean-Jacques_Bimbenet2008">Catherine Bonazzi et Jean-Jacques Bimbenet, <cite class="italique">Séchage des produits alimentaires</cite>, Ed. Techniques Ingénieur, <time class="nowrap" datetime="2008-03-10" data-sort-value="2008-03-10">10 mars 2008</time>, F 3 000&#160;<abbr class="abbr" title="édition">éd.</abbr> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.com/books?id=ohwHua8Hj1MC&amp;newbks=0">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=S%C3%A9chage+des+produits+alimentaires&amp;rft.pub=Ed.+Techniques+Ing%C3%A9nieur&amp;rft.edition=F+3+000&amp;rft.aulast=Bonazzi&amp;rft.aufirst=Catherine&amp;rft.au=Jean-Jacques+Bimbenet&amp;rft.date=2008-03-10&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></span></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink noprint"><a href="#cite_ref-19">↑</a> </span><span class="reference-text"><a href="#C3608">Dahan 2011</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;3</span> </li> <li id="cite_note-:8-20"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:8_20-0">a</a> <a href="#cite_ref-:8_20-1">b</a> et <a href="#cite_ref-:8_20-2">c</a></sup> </span><span class="reference-text"><a href="#BE8025">Crétinon et Blanquart 2017</a>, <abbr class="abbr" title="page(s)">p.</abbr>&#160;13-14</span> </li> </ol></div> </div> <div class="mw-heading mw-heading2"><h2 id="Voir_aussi">Voir aussi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=18" title="Modifier la section : Voir aussi" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=18" title="Modifier le code source de la section : Voir aussi"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Articles_connexes">Articles connexes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=19" title="Modifier la section : Articles connexes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=19" title="Modifier le code source de la section : Articles connexes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Psychrom%C3%A9trie" title="Psychrométrie">Psychrométrie</a></li> <li><a href="/wiki/Hygrom%C3%A8tre" title="Hygromètre">Hygromètre</a></li> <li><a href="/wiki/D%C3%A9shumidificateur" title="Déshumidificateur">Déshumidificateur</a></li> <li><a href="/wiki/%C3%89vaporation" title="Évaporation">Évaporation</a></li> <li><a href="/wiki/Climatisation" title="Climatisation">Climatisation</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Bibliographie">Bibliographie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=20" title="Modifier la section : Bibliographie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=20" title="Modifier le code source de la section : Bibliographie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="ouvrage" id="X15">«&#160;<a rel="nofollow" class="external text" href="https://www.boutique.afnor.org/fr-fr/norme/nf-x15110/mesure-de-lhumidite-de-lair-parametres-hygrometriques/fa037684/14385"><cite style="font-style:normal;">NF X15-110&#160;: Mesure de l'humidité de l'air - Paramètres hygrométriques</cite></a>&#160;», sur <span class="italique">Afnor EDITIONS</span>, <time class="nowrap" datetime="1994-07" data-sort-value="1994-07">juillet 1994</time> <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2022-04-27" data-sort-value="2022-04-27">27 avril 2022</time>)</small></span></li> <li><span class="ouvrage" id="BE8025">Bernard CRÉTINON et Bertrand BLANQUART, «&#160;<cite style="font-style:normal">Air humide - Notions de base et mesures</cite>&#160;», <i>Techniques de l'ingénieur</i>, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;BE 8 025,&#8206; <time class="nowrap" datetime="2017-12-10" data-sort-value="2017-12-10">10 décembre 2017</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://www.google.fr/books/edition/Air_Humide_Notions_de_base/AFtVNtFW3z4C?gbpv=1">lire en ligne</a> <span typeof="mw:File"><span title="Accès limité au document"><img alt="Accès limité" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/14px-Lock-gray-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/18px-Lock-gray-alt-2.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Air+humide+-+Notions+de+base+et+mesures&amp;rft.jtitle=Techniques+de+l%27ing%C3%A9nieur&amp;rft.issue=BE+8+025&amp;rft.au=Bernard+CR%C3%89TINON&amp;rft.au=Bertrand+BLANQUART&amp;rft.date=2017&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="B2230">Maxime Duminil, «&#160;<cite style="font-style:normal">Air humide</cite>&#160;», <i>Techniques de l'ingénieur</i>, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;B 2 230,&#8206; <time class="nowrap" datetime="1986-08" data-sort-value="1986-08">août 1986</time><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Air+humide&amp;rft.jtitle=Techniques+de+l%27ing%C3%A9nieur&amp;rft.issue=B+2+230&amp;rft.au=Maxime+Duminil&amp;rft.date=1986&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="BE8026">Ahmed BENSAFI et Maxime DUMINIL, «&#160;<cite style="font-style:normal">Air humide - Traitement et conditionnement de l’air</cite>&#160;», <i>Techniques de l'ingénieur</i>, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;BE 8 026,&#8206; <time class="nowrap" datetime="2007-07-10" data-sort-value="2007-07-10">10 juillet 2007</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://www.techniques-ingenieur.fr/base-documentaire/energies-th4/thermodynamique-et-energetique-42216210/air-humide-be8026/">lire en ligne</a> <span typeof="mw:File"><span title="Accès limité au document"><img alt="Accès limité" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/14px-Lock-gray-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/18px-Lock-gray-alt-2.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Air+humide+-+Traitement+et+conditionnement+de+l%E2%80%99air&amp;rft.jtitle=Techniques+de+l%27ing%C3%A9nieur&amp;rft.issue=BE+8+026&amp;rft.au=Ahmed+BENSAFI&amp;rft.au=Maxime+DUMINIL&amp;rft.date=2007&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="Dupuis">Thierry <span class="nom_auteur">Dupuis</span> et Guy <span class="nom_auteur">Delmas</span>, <cite class="italique">Métrologie en génie climatique</cite>, Dunod, <time class="nowrap" datetime="2009-08-19" data-sort-value="2009-08-19">19 août 2009</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-10-054270-3" title="Spécial:Ouvrages de référence/978-2-10-054270-3"><span class="nowrap">978-2-10-054270-3</span></a>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=ww7xtD0_RIMC&amp;newbks=0&amp;printsec=frontcover&amp;pg=PA211&amp;dq=coefficient+psychrometrique&amp;hl=fr">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=M%C3%A9trologie+en+g%C3%A9nie+climatique&amp;rft.pub=Dunod&amp;rft.aulast=Dupuis&amp;rft.aufirst=Thierry&amp;rft.au=Delmas%2C+Guy&amp;rft.date=2009&amp;rft.isbn=978-2-10-054270-3&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="ASHRAE"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <cite class="italique" lang="en">ASHRAE (<a href="/wiki/American_Society_of_Heating,_Refrigerating_and_Air-Conditioning_Engineers" title="American Society of Heating, Refrigerating and Air-Conditioning Engineers">American Society of Heating, Refrigerating and Air-Conditioning Engineers</a>) Handbook&#160;: Fundamentals (SI Edition)</cite>, ASHRAE, <time>2017</time><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=ASHRAE+%28American+Society+of+Heating%2C+Refrigerating+and+Air-Conditioning+Engineers%29+Handbook&amp;rft.pub=ASHRAE&amp;rft.stitle=Fundamentals+%28SI+Edition%29&amp;rft.date=2017&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="Green"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Don W. Green et Larry R. Genskow, <cite class="italique" lang="en">Perry's Chemical Engineer's Handbook - Section 12, Psychrometry, evaporative cooling, and solids drying</cite>, McGraw Hill Professional, <time class="nowrap" datetime="2007-10-26" data-sort-value="2007-10-26">26 octobre 2007</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-07-154219-7" title="Spécial:Ouvrages de référence/978-0-07-154219-7"><span class="nowrap">978-0-07-154219-7</span></a>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Ckled2vJc2UC&amp;newbks=0">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Perry%27s+Chemical+Engineer%27s+Handbook+-+Section+12%2C+Psychrometry%2C+evaporative+cooling%2C+and+solids+drying&amp;rft.pub=McGraw+Hill+Professional&amp;rft.au=Don+W.+Green&amp;rft.au=Larry+R.+Genskow&amp;rft.date=2007&amp;rft.isbn=978-0-07-154219-7&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li> <li><span class="ouvrage" id="C3608">Paul DAHAN, «&#160;<cite style="font-style:normal">Écoulement du flux de la vapeur d’eau&#160;: Théorie et réglementation</cite>&#160;», <i>Techniques de l'ingénieur</i>,&#8206; <time class="nowrap" datetime="2011-02" data-sort-value="2011-02">février 2011</time>, article <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;C 3 608<span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=%C3%89coulement+du+flux+de+la+vapeur+d%E2%80%99eau&amp;rft.jtitle=Techniques+de+l%27ing%C3%A9nieur&amp;rft.stitle=Th%C3%A9orie+et+r%C3%A9glementation&amp;rft.au=Paul+DAHAN&amp;rft.date=2011&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AHygrom%C3%A9trie"></span></span></li></ul> <div class="mw-heading mw-heading3"><h3 id="Liens_externes">Liens externes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;veaction=edit&amp;section=21" title="Modifier la section : Liens externes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Hygrom%C3%A9trie&amp;action=edit&amp;section=21" title="Modifier le code source de la section : Liens externes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr> <span class="ouvrage" id="AICVF">Association des ingénieurs et techniciens en climatique, ventilation et froid, «&#160;<a rel="nofollow" class="external text" href="https://aicvf.org/document/diagramme-psychrometrique-a3-version-enseignement/"><cite style="font-style:normal;">Version électronique du diagramme psychrométrique de l’AICVF (version enseignement)</cite></a>&#160;», sur <span class="italique">aicvf.org</span></span></li> <li><abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr> <abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/American_Society_of_Heating,_Refrigerating_and_Air-Conditioning_Engineers" title="American Society of Heating, Refrigerating and Air-Conditioning Engineers">American Society of Heating, Refrigerating and Air-Conditioning Engineers</a>, «&#160;Psychrometric Chart <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#1</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-2.pdf">#2</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#3</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#4</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#5</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#6</a>, <a rel="nofollow" class="external text" href="https://www.ashrae.org/File%20Library/Technical%20Resources/Bookstore/UP3/SI-1.pdf">#7</a>, etc.&#160;» (selon différentes gammes de températures et différentes pressions) sur <i>ashrae.org</i></li> <li><a rel="nofollow" class="external text" href="http://www.uigi.com/technology.html">«&#160;Universal Industrial Gases, Inc. Technology, Gas Properties and Tools - Site Guide&#160;»</a>, sur <i>uigi.com</i>, propriétés et diagrammes</li> <li><span class="ouvrage" id="Bernard_Aukema"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <span class="nom_auteur">Bernard Aukema</span>, «&#160;<a rel="nofollow" class="external text" href="https://www.psych-chart.com/"><cite style="font-style:normal;" lang="en">Psychrometric-Chart Calculator and Sketcher</cite></a>&#160;», sur <span class="italique">Psych-Chart.com</span></span></li> <li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&#160;<a rel="nofollow" class="external text" href="http://www.flycarpet.net/en/psyonline"><cite style="font-style:normal;" lang="en">Online Interactive Psychrometric Chart</cite></a>&#160;», sur <span class="italique">flycarpet.net</span></span></li> <li><span class="ouvrage" id="Fernandez"><span class="ouvrage" id="Manel_Fernandez"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Manel Fernandez, «&#160;<a rel="nofollow" class="external text" href="https://www.pharmaceuticalhvac.com/a-psychrometric-chart-in-excel/"><cite style="font-style:normal;" lang="en">A Psychrometric Chart in Excel</cite></a>&#160;», sur <span class="italique">pharmaceuticalhvac.com</span></span></span></li></ul> <table class="navbox collapsible noprint autocollapse" style=""> <tbody><tr><th class="navbox-title" colspan="2" style=""><div style="float:left; width:6em; text-align:left"><div class="noprint plainlinks nowrap tnavbar" style="padding:0; font-size:xx-small; color:var(--color-emphasized, #000000);"><a href="/wiki/Mod%C3%A8le:Palette_Donn%C3%A9es_et_variables_m%C3%A9t%C3%A9orologiques" title="Modèle:Palette Données et variables météorologiques"><abbr class="abbr" title="Voir ce modèle.">v</abbr></a>&#160;· <a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Mod%C3%A8le:Palette_Donn%C3%A9es_et_variables_m%C3%A9t%C3%A9orologiques&amp;action=edit"><abbr class="abbr" title="Modifier ce modèle. Merci de prévisualiser avant de sauvegarder.">m</abbr></a></div></div><div style="font-size:110%">Données et variables météorologiques <span typeof="mw:File"><a href="/wiki/Fichier:Nuvola_apps_kweather.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Nuvola_apps_kweather.svg/20px-Nuvola_apps_kweather.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Nuvola_apps_kweather.svg/30px-Nuvola_apps_kweather.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Nuvola_apps_kweather.svg/40px-Nuvola_apps_kweather.svg.png 2x" data-file-width="419" data-file-height="419" /></a></span></div></th> </tr> <tr> <th class="navbox-group" style="width:50px;">Données de mesure</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Alb%C3%A9do" title="Albédo">Albédo</a></li> <li><a href="/wiki/Anomalie_de_temp%C3%A9rature" title="Anomalie de température">Anomalie de température</a></li> <li><a href="/wiki/Eau_pr%C3%A9cipitable" title="Eau précipitable">Eau précipitable</a></li> <li><a href="/wiki/Contenu_en_eau_liquide" title="Contenu en eau liquide">Contenu en eau liquide</a></li> <li><a href="/wiki/Foudre" title="Foudre">Foudre</a></li> <li><a href="/wiki/Isotherme_z%C3%A9ro_degr%C3%A9" title="Isotherme zéro degré">Isotherme zéro degré</a> (Niveau de congélation)</li> <li><a href="/wiki/Nuage" title="Nuage">Nébulosité</a></li> <li><a href="/wiki/Point_de_ros%C3%A9e" title="Point de rosée">Point de rosée</a></li> <li><a href="/wiki/Point_de_givrage" title="Point de givrage">Point de givrage</a></li> <li><a href="/wiki/Pr%C3%A9cipitations" title="Précipitations">Précipitations</a></li> <li><a href="/wiki/Pression_atmosph%C3%A9rique" title="Pression atmosphérique">Pression atmosphérique</a> / <a href="/wiki/Variation_de_la_pression_atmosph%C3%A9rique_avec_l%27altitude" title="Variation de la pression atmosphérique avec l&#39;altitude">selon l'altitude</a></li> <li><a href="/wiki/R%C3%A9flectivit%C3%A9" title="Réflectivité">Réflectivité</a> radar (en <a href="/wiki/D%C3%A9cibel_Z" title="Décibel Z">dBZ</a>)</li> <li><a href="/wiki/Temp%C3%A9rature" title="Température">Température</a> <ul><li><a href="/wiki/Temp%C3%A9rature_de_surface_de_la_mer" title="Température de surface de la mer">de surface de la mer</a></li> <li><a href="/wiki/Temp%C3%A9rature_du_thermom%C3%A8tre_mouill%C3%A9" title="Température du thermomètre mouillé">du thermomètre mouillé</a></li></ul></li> <li><a href="/wiki/Vent" title="Vent">Vent</a></li> <li><a href="/wiki/Visibilit%C3%A9" title="Visibilité">Visibilité</a> <ul><li><a href="/wiki/%C3%89paisseur_optique" title="Épaisseur optique">Profondeur optique</a></li> <li><a href="/wiki/Port%C3%A9e_visuelle_de_piste" title="Portée visuelle de piste">Portée visuelle de piste</a></li></ul></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="width:50px;">Variables</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/%C3%89nergie_d%27inhibition_de_la_convection" title="Énergie d&#39;inhibition de la convection">EIC</a></li> <li><a href="/wiki/%C3%89nergie_potentielle_de_convection_disponible" title="Énergie potentielle de convection disponible">EPCD</a></li> <li><a href="/wiki/Point_de_ros%C3%A9e#Dépression_du_point_de_rosée" title="Point de rosée">Dépression du point de rosée</a></li> <li><a href="/wiki/Fr%C3%A9quence_de_Brunt-V%C3%A4is%C3%A4l%C3%A4" title="Fréquence de Brunt-Väisälä">Fréquence de Brunt-Väisälä</a></li> <li><a href="/wiki/Gradient_adiabatique_dans_l%27atmosph%C3%A8re" title="Gradient adiabatique dans l&#39;atmosphère">Gradient thermique adiabatique</a></li> <li><a href="/wiki/H%C3%A9licit%C3%A9_(dynamique_des_fluides)" title="Hélicité (dynamique des fluides)">Hélicité</a></li> <li>Humidité <ul><li><a href="/wiki/Humidit%C3%A9_absolue" title="Humidité absolue">absolue</a></li> <li><a href="/wiki/Humidit%C3%A9_absolue_de_saturation" title="Humidité absolue de saturation">absolue de saturation</a></li> <li><a href="/wiki/Humidit%C3%A9_foliaire" title="Humidité foliaire">foliaire</a></li> <li><a href="/wiki/Humidit%C3%A9_relative" title="Humidité relative">relative</a></li></ul></li> <li><a href="/wiki/Gradient_thermique_adiabatique#Instabilité_latente" class="mw-redirect" title="Gradient thermique adiabatique">Instabilité latente</a></li> <li><a href="/wiki/Gradient_thermique_adiabatique#Instabilité_potentielle" class="mw-redirect" title="Gradient thermique adiabatique">Instabilité potentielle</a></li> <li><a href="/wiki/Longueur_de_Monin-Obukhov" title="Longueur de Monin-Obukhov">Longueur de Monin-Obukhov</a></li> <li><a href="/wiki/Niveau_de_condensation" title="Niveau de condensation">Niveau de condensation</a> <ul><li><a href="/wiki/Niveau_de_condensation_par_ascension" title="Niveau de condensation par ascension">par ascension</a></li> <li><a href="/wiki/Niveau_de_condensation_par_convection" title="Niveau de condensation par convection">par convection</a></li></ul></li> <li><a href="/wiki/Niveau_de_convection_libre" title="Niveau de convection libre">Niveau de convection libre</a></li> <li><a href="/wiki/Niveau_d%27%C3%A9quilibre_convectif" title="Niveau d&#39;équilibre convectif">Niveau d'équilibre convectif</a></li> <li><a href="/wiki/Pression_de_vapeur_saturante_de_l%27eau" title="Pression de vapeur saturante de l&#39;eau">Pression de vapeur saturante de l'eau</a></li> <li><a href="/wiki/Rapport_de_m%C3%A9lange" title="Rapport de mélange">Rapport de mélange</a></li> <li><a href="/wiki/Refroidissement_%C3%A9olien" title="Refroidissement éolien">Refroidissement éolien</a></li> <li>Température <ul><li><a href="/wiki/Temp%C3%A9rature_%C3%A9quivalente" title="Température équivalente">équivalente</a></li> <li><a href="/wiki/Temp%C3%A9rature_potentielle" title="Température potentielle">potentielle</a></li> <li><a href="/wiki/Temp%C3%A9rature_pseudo-potentielle_du_thermom%C3%A8tre_mouill%C3%A9" title="Température pseudo-potentielle du thermomètre mouillé">pseudo-potentielle du thermomètre mouillé</a></li> <li><a href="/wiki/Temp%C3%A9rature_potentielle_%C3%A9quivalente" title="Température potentielle équivalente">Theta-e</a></li> <li><a href="/wiki/Temp%C3%A9rature_virtuelle" title="Température virtuelle">virtuelle</a></li></ul></li> <li><a href="/wiki/Tourbillon_(physique)" title="Tourbillon (physique)">Tourbillon</a></li> <li><a href="/wiki/Vitesse_convective" title="Vitesse convective">Vitesse convective</a></li> <li><a href="/wiki/Vitesse_de_frottement" title="Vitesse de frottement">Vitesse de frottement</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="width:50px;">Concepts</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Convection_atmosph%C3%A9rique" title="Convection atmosphérique">Convection atmosphérique</a></li> <li><a class="mw-selflink selflink">Hygrométrie</a></li> <li><a href="/wiki/%C3%89vapotranspiration" title="Évapotranspiration">Évapotranspiration</a></li> <li><a href="/wiki/Effet_Bergeron" title="Effet Bergeron">Effet Bergeron</a></li> <li><a href="/wiki/Trace_(m%C3%A9t%C3%A9orologie)" title="Trace (météorologie)">Trace</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="width:50px;">Indices</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Cote_air_sant%C3%A9" title="Cote air santé">Cote air santé</a></li> <li><a href="/wiki/Degr%C3%A9_jour_de_croissance" title="Degré jour de croissance">Degré jour de croissance</a></li> <li><a href="/wiki/Degr%C3%A9_jour_unifi%C3%A9" title="Degré jour unifié">Degré jour unifié</a></li> <li><a href="/wiki/Temp%C3%A9rature_au_thermom%C3%A8tre-globe_mouill%C3%A9" title="Température au thermomètre-globe mouillé">Indice WBGT</a></li> <li><a href="/wiki/Indice_de_George" title="Indice de George">Indice de George</a> (K)</li> <li><a href="/wiki/Indice_d%27ass%C3%A8chement" title="Indice d&#39;assèchement">Indice d'assèchement</a></li> <li><a href="/wiki/Indice_humidex" title="Indice humidex">Indice humidex</a></li> <li><a href="/wiki/Indice_de_chaleur" title="Indice de chaleur">Indice de chaleur (<i>Heat Index</i>)</a></li> <li><a href="/wiki/Aridit%C3%A9" title="Aridité">Indice d'aridité</a></li> <li><a href="/wiki/Refroidissement_%C3%A9olien" title="Refroidissement éolien">Refroidissement éolien</a></li> <li><a href="/wiki/Indice_for%C3%AAt_m%C3%A9t%C3%A9o" title="Indice forêt météo">Indice forêt météo</a></li> <li><a href="/wiki/Indice_de_Haines" title="Indice de Haines">Indice de Haines</a></li> <li><a href="/wiki/Indice_UV" title="Indice UV">Indice UV</a></li> <li><a href="/wiki/Indice_de_soul%C3%A8vement" title="Indice de soulèvement">Indice de soulèvement</a></li> <li><a href="/wiki/Indice_de_stabilit%C3%A9_de_Showalter" title="Indice de stabilité de Showalter">Indice de stabilité de Showalter</a></li> <li><a href="/wiki/Indice_universel_du_climat_thermique" title="Indice universel du climat thermique">Indice universel du climat thermique</a></li> <li><a href="/wiki/Probabilit%C3%A9_de_pr%C3%A9cipitations" title="Probabilité de précipitations">PdP</a></li> <li><a href="/wiki/Quotient_photothermique" title="Quotient photothermique">Quotient photothermique</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="width:50px;">Diagrammes</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Carte_m%C3%A9t%C3%A9orologique" title="Carte météorologique">Carte météorologique</a></li> <li><a href="/wiki/Diagramme_climatique" title="Diagramme climatique">Diagramme climatique</a></li> <li><a href="/wiki/Diagramme_de_St%C3%BCve" title="Diagramme de Stüve">Diagramme de Stüve</a></li> <li><a href="/wiki/%C3%89magramme" title="Émagramme">Émagramme</a></li> <li><a href="/wiki/Hodographe" title="Hodographe">Hodographe</a></li> <li><a href="/wiki/Hy%C3%A9togramme" title="Hyétogramme">Hyétogramme</a></li> <li><a href="/wiki/M%C3%A9t%C3%A9orogramme" title="Météorogramme">Météorogramme/Météogramme</a></li> <li><a href="/wiki/Rose_des_vents_(m%C3%A9t%C3%A9orologie)" title="Rose des vents (météorologie)">Rose des vents</a></li> <li><a href="/wiki/SkewT" title="SkewT">Skew-T ou Émagramme à 45 degrés</a></li> <li><a href="/wiki/T%C3%A9phigramme" title="Téphigramme">Téphigramme</a></li></ul> </div></td> </tr> <tr> <td class="navbox-banner" style="" colspan="2"><a href="/wiki/Glossaire_de_la_m%C3%A9t%C3%A9orologie" title="Glossaire de la météorologie">Glossaire de la météorologie</a></td></tr></tbody></table> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:M%C3%A9t%C3%A9orologie" title="Portail de la météorologie"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Circle-icons-weather.svg/24px-Circle-icons-weather.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Circle-icons-weather.svg/36px-Circle-icons-weather.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Circle-icons-weather.svg/48px-Circle-icons-weather.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:M%C3%A9t%C3%A9orologie" title="Portail:Météorologie">Portail de la météorologie</a></span> </span></li> <li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:Physique" title="Portail de la physique"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/24px-Circle-icons-physics-logo.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/36px-Circle-icons-physics-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/48px-Circle-icons-physics-logo.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Physique" title="Portail:Physique">Portail de la physique</a></span> </span></li> <li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:Froid_et_climatisation" title="Portail du froid et de la climatisation"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Snowflake_icon_%28light_blue%2C_bold%29.svg/24px-Snowflake_icon_%28light_blue%2C_bold%29.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Snowflake_icon_%28light_blue%2C_bold%29.svg/36px-Snowflake_icon_%28light_blue%2C_bold%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Snowflake_icon_%28light_blue%2C_bold%29.svg/48px-Snowflake_icon_%28light_blue%2C_bold%29.svg.png 2x" data-file-width="16" data-file-height="16" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Froid_et_climatisation" title="Portail:Froid et climatisation">Portail du froid et de la climatisation</a></span> </span></li> </ul> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐6b8d669998‐cpdg4 Cached time: 20241128090802 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.385 seconds Real time 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