Adiabatikus állapotváltozás

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class="vector-toc-numb">1</span> <span>Jegyzetek</span> </div> </a> <ul id="toc-Jegyzetek-sublist" class="vector-toc-list"> </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="Tartalomjegyzék" 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="Tartalomjegyzék kinyitása/becsukása" > <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">Tartalomjegyzék kinyitása/becsukása</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">Adiabatikus állapotváltozás</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="Ugrás egy más nyelvű szócikkre. Elérhető 63 nyelven" > <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-63" 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">63 nyelv</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Adiabatic_process" title="Adiabatic process – angol" lang="en" hreflang="en" data-title="Adiabatic process" data-language-autonym="English" data-language-local-name="angol" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Adiabaties" title="Adiabaties – afrikaans" lang="af" hreflang="af" data-title="Adiabaties" 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%B9%D9%85%D9%84%D9%8A%D8%A9_%D9%83%D8%B8%D9%88%D9%85%D8%A9" title="عملية كظومة – arab" lang="ar" hreflang="ar" data-title="عملية كظومة" data-language-autonym="العربية" data-language-local-name="arab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Procesu_adiab%C3%A1ticu" title="Procesu adiabáticu – asztúr" lang="ast" hreflang="ast" data-title="Procesu adiabáticu" data-language-autonym="Asturianu" data-language-local-name="asztúr" 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/Adiabatik_proses" title="Adiabatik proses – azerbajdzsáni" lang="az" hreflang="az" data-title="Adiabatik proses" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdzsáni" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B4%D1%8B%D1%8F%D0%B1%D0%B0%D1%82%D0%BD%D1%8B_%D0%BF%D1%80%D0%B0%D1%86%D1%8D%D1%81" title="Адыябатны працэс – belarusz" lang="be" hreflang="be" data-title="Адыябатны працэс" data-language-autonym="Беларуская" data-language-local-name="belarusz" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%90%D0%B4%D0%B8%D0%B0%D0%B1%D0%B0%D1%82%D0%B5%D0%BD_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81" title="Адиабатен процес – bolgár" lang="bg" hreflang="bg" data-title="Адиабатен процес" data-language-autonym="Български" data-language-local-name="bolgár" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B0%E0%A7%81%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%A4%E0%A6%BE%E0%A6%AA%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A6%BE" title="রুদ্ধতাপীয় প্রক্রিয়া – bangla" lang="bn" hreflang="bn" data-title="রুদ্ধতাপীয় প্রক্রিয়া" data-language-autonym="বাংলা" data-language-local-name="bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%91%E0%BE%B2%E0%BD%BC%E0%BD%91%E0%BC%8B%E0%BD%82%E0%BD%85%E0%BD%BC%E0%BD%91%E0%BC%8B%E0%BD%A2%E0%BE%92%E0%BE%B1%E0%BD%B4%E0%BD%91%E0%BC%8B%E0%BD%A2%E0%BD%B2%E0%BD%98%E0%BC%8D" title="དྲོད་གཅོད་རྒྱུད་རིམ། – tibeti" lang="bo" hreflang="bo" data-title="དྲོད་གཅོད་རྒྱུད་རིམ།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibeti" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Adijabatski_proces" title="Adijabatski proces – bosnyák" lang="bs" hreflang="bs" data-title="Adijabatski proces" data-language-autonym="Bosanski" data-language-local-name="bosnyák" 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/Proc%C3%A9s_adiab%C3%A0tic" title="Procés adiabàtic – katalán" lang="ca" hreflang="ca" data-title="Procés adiabàtic" data-language-autonym="Català" data-language-local-name="katalán" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Adiabatick%C3%BD_d%C4%9Bj" title="Adiabatický děj – cseh" lang="cs" hreflang="cs" data-title="Adiabatický děj" data-language-autonym="Čeština" data-language-local-name="cseh" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Adiabatisk_proces" title="Adiabatisk proces – dán" lang="da" hreflang="da" data-title="Adiabatisk proces" data-language-autonym="Dansk" data-language-local-name="dán" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Adiabatische_Zustands%C3%A4nderung" title="Adiabatische Zustandsänderung – német" lang="de" hreflang="de" data-title="Adiabatische Zustandsänderung" data-language-autonym="Deutsch" data-language-local-name="német" 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%91%CE%B4%CE%B9%CE%B1%CE%B2%CE%B1%CF%84%CE%B9%CE%BA%CE%AE_%CE%BC%CE%B5%CF%84%CE%B1%CE%B2%CE%BF%CE%BB%CE%AE" title="Αδιαβατική μεταβολή – görög" lang="el" hreflang="el" data-title="Αδιαβατική μεταβολή" data-language-autonym="Ελληνικά" data-language-local-name="görög" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Adiabata_procezo" title="Adiabata procezo – eszperantó" lang="eo" hreflang="eo" data-title="Adiabata procezo" data-language-autonym="Esperanto" data-language-local-name="eszperantó" 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/Proceso_adiab%C3%A1tico" title="Proceso adiabático – spanyol" lang="es" hreflang="es" data-title="Proceso adiabático" data-language-autonym="Español" data-language-local-name="spanyol" 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/Adiabaatiline_protsess" title="Adiabaatiline protsess – észt" lang="et" hreflang="et" data-title="Adiabaatiline protsess" data-language-autonym="Eesti" data-language-local-name="észt" 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/Prozesu_adiabatiko" title="Prozesu adiabatiko – baszk" lang="eu" hreflang="eu" data-title="Prozesu adiabatiko" data-language-autonym="Euskara" data-language-local-name="baszk" 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/%D9%81%D8%B1%D8%A7%DB%8C%D9%86%D8%AF_%D8%A8%DB%8C%E2%80%8C%D8%AF%D8%B1%D8%B1%D9%88" title="فرایند بی‌دررو – perzsa" lang="fa" hreflang="fa" data-title="فرایند بی‌دررو" data-language-autonym="فارسی" data-language-local-name="perzsa" 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/Adiabaattinen_prosessi" title="Adiabaattinen prosessi – finn" lang="fi" hreflang="fi" data-title="Adiabaattinen prosessi" data-language-autonym="Suomi" data-language-local-name="finn" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Processus_adiabatique" title="Processus adiabatique – francia" lang="fr" hreflang="fr" data-title="Processus adiabatique" data-language-autonym="Français" data-language-local-name="francia" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Pr%C3%B3iseas_aidiabatach" title="Próiseas aidiabatach – ír" lang="ga" hreflang="ga" data-title="Próiseas aidiabatach" data-language-autonym="Gaeilge" data-language-local-name="ír" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Proceso_adiab%C3%A1tico" title="Proceso adiabático – gallego" lang="gl" hreflang="gl" data-title="Proceso adiabático" data-language-autonym="Galego" data-language-local-name="gallego" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%AA%D7%94%D7%9C%D7%99%D7%9A_%D7%90%D7%93%D7%99%D7%90%D7%91%D7%98%D7%99" title="תהליך אדיאבטי – héber" lang="he" hreflang="he" data-title="תהליך אדיאבטי" data-language-autonym="עברית" data-language-local-name="héber" 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%B0%E0%A5%81%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A5%8B%E0%A4%B7%E0%A5%8D%E0%A4%AE_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE" title="रुद्धोष्म प्रक्रम – hindi" lang="hi" hreflang="hi" data-title="रुद्धोष्म प्रक्रम" 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/Adijabatski_proces" title="Adijabatski proces – horvát" lang="hr" hreflang="hr" data-title="Adijabatski proces" data-language-autonym="Hrvatski" data-language-local-name="horvát" 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%B1%D5%A4%D5%AB%D5%A1%D5%A2%D5%A1%D5%BF%D5%A1%D5%AF%D5%A1%D5%B6_%D5%A3%D5%B8%D6%80%D5%AE%D5%A8%D5%B6%D5%A9%D5%A1%D6%81" title="Ադիաբատական գործընթաց – örmény" lang="hy" hreflang="hy" data-title="Ադիաբատական գործընթաց" data-language-autonym="Հայերեն" data-language-local-name="örmény" 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/Proses_adiabatik" title="Proses adiabatik – indonéz" lang="id" hreflang="id" data-title="Proses adiabatik" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonéz" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Trasformazione_adiabatica" title="Trasformazione adiabatica – olasz" lang="it" hreflang="it" data-title="Trasformazione adiabatica" data-language-autonym="Italiano" data-language-local-name="olasz" 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%96%AD%E7%86%B1%E9%81%8E%E7%A8%8B" title="断熱過程 – japán" lang="ja" hreflang="ja" data-title="断熱過程" data-language-autonym="日本語" data-language-local-name="japán" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D0%B4%D0%B8%D0%B0%D0%B1%D0%B0%D1%82%D1%82%D1%8B%D2%9B_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%82%D0%B5%D1%80" title="Адиабаттық процестер – kazah" lang="kk" hreflang="kk" data-title="Адиабаттық процестер" data-language-autonym="Қазақша" data-language-local-name="kazah" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8B%A8%EC%97%B4%EA%B3%BC%EC%A0%95" title="단열과정 – koreai" lang="ko" hreflang="ko" data-title="단열과정" data-language-autonym="한국어" data-language-local-name="koreai" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%B4%D0%B8%D0%B0%D0%B1%D0%B0%D1%82%D0%B0_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81%D0%B8" title="Адиабата процесси – kirgiz" lang="ky" hreflang="ky" data-title="Адиабата процесси" data-language-autonym="Кыргызча" data-language-local-name="kirgiz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Adiabatesche_Prozess" title="Adiabatesche Prozess – luxemburgi" lang="lb" hreflang="lb" data-title="Adiabatesche Prozess" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxemburgi" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Adiabatinis_procesas" title="Adiabatinis procesas – litván" lang="lt" hreflang="lt" data-title="Adiabatinis procesas" data-language-autonym="Lietuvių" data-language-local-name="litván" 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/Adiab%C4%81tisks_process" title="Adiabātisks process – lett" lang="lv" hreflang="lv" data-title="Adiabātisks process" data-language-autonym="Latviešu" data-language-local-name="lett" 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%90%D0%B4%D0%B8%D1%98%D0%B0%D0%B1%D0%B0%D1%82%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81" title="Адијабатски процес – macedón" lang="mk" hreflang="mk" data-title="Адијабатски процес" data-language-autonym="Македонски" data-language-local-name="macedón" 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%85%E0%B4%A1%E0%B4%AF%E0%B4%AC%E0%B4%BE%E0%B4%B1%E0%B5%8D%E0%B4%B1%E0%B4%BF%E0%B4%95%E0%B5%8D_%E0%B4%AA%E0%B5%8D%E0%B4%B0%E0%B4%95%E0%B5%8D%E0%B4%B0%E0%B4%BF%E0%B4%AF" title="അഡയബാറ്റിക് പ്രക്രിയ – malajálam" lang="ml" hreflang="ml" data-title="അഡയബാറ്റിക് പ്രക്രിയ" data-language-autonym="മലയാളം" data-language-local-name="malajálam" 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%B4%D0%B8%D0%B0%D0%B1%D0%B0%D1%82_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81" title="Адиабат процесс – mongol" lang="mn" hreflang="mn" data-title="Адиабат процесс" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Adiabatisch_proces" title="Adiabatisch proces – holland" lang="nl" hreflang="nl" data-title="Adiabatisch proces" data-language-autonym="Nederlands" data-language-local-name="holland" 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/Adiabatisk_prosess" title="Adiabatisk prosess – norvég (nynorsk)" lang="nn" hreflang="nn" data-title="Adiabatisk prosess" data-language-autonym="Norsk nynorsk" data-language-local-name="norvég (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/Adiabatisk_prosess" title="Adiabatisk prosess – norvég (bokmål)" lang="nb" hreflang="nb" data-title="Adiabatisk prosess" data-language-autonym="Norsk bokmål" data-language-local-name="norvég (bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Proc%C3%A8s_adiabatic" title="Procès adiabatic – okszitán" lang="oc" hreflang="oc" data-title="Procès adiabatic" data-language-autonym="Occitan" data-language-local-name="okszitán" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Przemiana_adiabatyczna" title="Przemiana adiabatyczna – lengyel" lang="pl" hreflang="pl" data-title="Przemiana adiabatyczna" data-language-autonym="Polski" data-language-local-name="lengyel" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_adiab%C3%A1tico" title="Sistema adiabático – portugál" lang="pt" hreflang="pt" data-title="Sistema adiabático" data-language-autonym="Português" data-language-local-name="portugál" 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/Proces_adiabatic" title="Proces adiabatic – román" lang="ro" hreflang="ro" data-title="Proces adiabatic" data-language-autonym="Română" data-language-local-name="román" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437798 badge-goodarticle mw-list-item" title="jó szócikk"><a href="https://ru.wikipedia.org/wiki/%D0%90%D0%B4%D0%B8%D0%B0%D0%B1%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B9_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81" title="Адиабатический процесс – orosz" lang="ru" hreflang="ru" data-title="Адиабатический процесс" data-language-autonym="Русский" data-language-local-name="orosz" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Adijabatski_proces" title="Adijabatski proces – szerbhorvát" lang="sh" hreflang="sh" data-title="Adijabatski proces" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="szerbhorvát" 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/Adiabatic_process" title="Adiabatic process – Simple English" lang="en-simple" hreflang="en-simple" data-title="Adiabatic process" 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/Adiabatick%C3%BD_dej" title="Adiabatický dej – szlovák" lang="sk" hreflang="sk" data-title="Adiabatický dej" data-language-autonym="Slovenčina" data-language-local-name="szlovák" 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/Adiabatna_sprememba" title="Adiabatna sprememba – szlovén" lang="sl" hreflang="sl" data-title="Adiabatna sprememba" data-language-autonym="Slovenščina" data-language-local-name="szlovén" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%90%D0%B4%D0%B8%D1%98%D0%B0%D0%B1%D0%B0%D1%82%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81" title="Адијабатски процес – szerb" lang="sr" hreflang="sr" data-title="Адијабатски процес" data-language-autonym="Српски / srpski" data-language-local-name="szerb" 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/Adiabatisk_process" title="Adiabatisk process – svéd" lang="sv" hreflang="sv" data-title="Adiabatisk process" data-language-autonym="Svenska" data-language-local-name="svéd" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AE%BE%E0%AE%B1%E0%AE%BE%E0%AE%B5%E0%AF%86%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%9A%E0%AF%8D_%E0%AE%9A%E0%AF%86%E0%AE%AF%E0%AE%B2%E0%AF%8D%E0%AE%AE%E0%AF%81%E0%AE%B1%E0%AF%88" title="மாறாவெப்பச் செயல்முறை – tamil" lang="ta" hreflang="ta" data-title="மாறாவெப்பச் செயல்முறை" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%A3%E0%B8%B0%E0%B8%9A%E0%B8%A7%E0%B8%99%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%AD%E0%B8%B0%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2%E0%B9%81%E0%B8%9A%E0%B8%95%E0%B8%B4%E0%B8%81" title="กระบวนการอะเดียแบติก – thai" lang="th" hreflang="th" data-title="กระบวนการอะเดียแบติก" data-language-autonym="ไทย" data-language-local-name="thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Adyabatik" title="Adyabatik – török" lang="tr" hreflang="tr" data-title="Adyabatik" data-language-autonym="Türkçe" data-language-local-name="török" 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%90%D0%B4%D1%96%D0%B0%D0%B1%D0%B0%D1%82%D0%B8%D1%87%D0%BD%D0%B8%D0%B9_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81" title="Адіабатичний процес – ukrán" lang="uk" hreflang="uk" data-title="Адіабатичний процес" data-language-autonym="Українська" data-language-local-name="ukrán" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Adiabatik_jarayon" title="Adiabatik jarayon – üzbég" lang="uz" hreflang="uz" data-title="Adiabatik jarayon" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="üzbég" 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/Qu%C3%A1_tr%C3%ACnh_%C4%91o%E1%BA%A1n_nhi%E1%BB%87t" title="Quá trình đoạn nhiệt – vietnámi" lang="vi" hreflang="vi" data-title="Quá trình đoạn nhiệt" data-language-autonym="Tiếng Việt" data-language-local-name="vietnámi" 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/%E7%BB%9D%E7%83%AD%E8%BF%87%E7%A8%8B" title="绝热过程 – wu kínai" lang="wuu" hreflang="wuu" data-title="绝热过程" data-language-autonym="吴语" data-language-local-name="wu kínai" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BB%9D%E7%83%AD%E8%BF%87%E7%A8%8B" title="绝热过程 – kínai" lang="zh" hreflang="zh" data-title="绝热过程" data-language-autonym="中文" data-language-local-name="kínai" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%B5%95%E7%86%B1%E8%B3%AA%E9%81%8E%E7%A8%8B" title="絕熱質過程 – kantoni" lang="yue" hreflang="yue" data-title="絕熱質過程" data-language-autonym="粵語" data-language-local-name="kantoni" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q182453#sitelinks-wikipedia" title="Nyelvközi hivatkozások szerkesztése" class="wbc-editpage">Hivatkozások szerkesztése</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div 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class="cdx-dialog__header__title-group"><h2 class="cdx-dialog__header__title">Változat állapota</h2><p class="cdx-dialog__header__subtitle">Ez a lap egy ellenőrzött változata</p></div><button class="cdx-button cdx-button--action-default cdx-button--weight-quiet
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							cdx-fr-css-icon--close"></span></button></header><div class="cdx-dialog__body">Ez a <a href="/wiki/Wikip%C3%A9dia:Jel%C3%B6lt_lapv%C3%A1ltozatok" title="Wikipédia:Jelölt lapváltozatok">közzétett változat</a>, <a class="external text" href="https://hu.wikipedia.org/w/index.php?title=Speci%C3%A1lis:Rendszernapl%C3%B3k&type=review&page=Adiabatikus_%C3%A1llapotv%C3%A1ltoz%C3%A1s">ellenőrizve</a>: <i>2023. május 24.</i><p><table id="mw-fr-revisionratings-box" class="flaggedrevs-color-1" style="margin: auto;" cellpadding="0"><tr><td class="fr-text" style="vertical-align: middle;">Pontosság</td><td class="fr-value40" style="vertical-align: middle;">ellenőrzött</td></tr></table></p></div></div><div tabindex="0"></div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hu" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/F%C3%A1jl:Sample_adiabatic_curve.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sample_adiabatic_curve.png/300px-Sample_adiabatic_curve.png" decoding="async" width="300" height="187" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sample_adiabatic_curve.png/450px-Sample_adiabatic_curve.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sample_adiabatic_curve.png/600px-Sample_adiabatic_curve.png 2x" data-file-width="671" data-file-height="419" /></a><figcaption>Adiabatikus állapotváltozás p-V diagramon. W jelöli a külső munkát</figcaption></figure> <p>Az <b>adiabatikus állapotváltozás</b> vagy <b>adiabatikus folyamat</b> olyan <a href="/wiki/Termodinamikai_%C3%A1llapotv%C3%A1ltoz%C3%A1s" title="Termodinamikai állapotváltozás">állapotváltozás</a>, amely során a <a href="/w/index.php?title=Termodinamikai_rendszer&action=edit&redlink=1" class="new" title="Termodinamikai rendszer (a lap nem létezik)">termodinamikai rendszer</a> és környezete között nem jön létre <a href="/wiki/H%C5%91%C3%A1tad%C3%A1s" title="Hőátadás">hőátadás</a>. <a href="/wiki/Ide%C3%A1lis_g%C3%A1z" title="Ideális gáz">Ideális gázok</a> esetében, amelyeknek nincs <a href="/wiki/Bels%C5%91_s%C3%BArl%C3%B3d%C3%A1s" class="mw-redirect" title="Belső súrlódás">belső súrlódása</a>, az adiabatikus állapotváltozás egyben <a href="/wiki/Izentropikus_%C3%A1llapotv%C3%A1ltoz%C3%A1s" title="Izentropikus állapotváltozás">izentropikus állapotváltozás</a> is, vagyis a folyamat során a rendszer <a href="/wiki/Entr%C3%B3pia" title="Entrópia">entrópiája</a> nem változik. </p><p>A szó görög eredetű. Diabatosz (διαβατός) jelentése járható. A szó eleji <cite>a</cite> fosztóképző: (át)járhatatlan.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>A <a href="/wiki/Nyom%C3%A1s" title="Nyomás">nyomás</a>, <a href="/wiki/Fajlagos_t%C3%A9rfogat" title="Fajlagos térfogat">fajlagos térfogat</a> és <a href="/wiki/H%C5%91m%C3%A9rs%C3%A9klet" title="Hőmérséklet">hőmérséklet</a> között az állapotváltozás kezdő és végállapota között a következő összefüggések írhatók fel: </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 {\frac {p_{1}}{p_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa };~~~~{\frac {v_{1}}{v_{2}}}=\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {1}{\kappa }};~~~~{\frac {p_{1}}{p_{2}}}=\left({\frac {T_{1}}{T_{2}}}\right)^{\frac {\kappa }{\kappa -1}};}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>κ</mi> </mrow> </msup> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>κ</mi> </mfrac> </mrow> </msup> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>κ</mi> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </msup> <mo>;</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {p_{1}}{p_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa };~~~~{\frac {v_{1}}{v_{2}}}=\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {1}{\kappa }};~~~~{\frac {p_{1}}{p_{2}}}=\left({\frac {T_{1}}{T_{2}}}\right)^{\frac {\kappa }{\kappa -1}};}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1174bf1c9a67676f3cd072d438408fb0a2ae934" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:51.941ex; height:7.176ex;" alt="{\displaystyle {\frac {p_{1}}{p_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa };~~~~{\frac {v_{1}}{v_{2}}}=\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {1}{\kappa }};~~~~{\frac {p_{1}}{p_{2}}}=\left({\frac {T_{1}}{T_{2}}}\right)^{\frac {\kappa }{\kappa -1}};}"></span></dd></dl> <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 {\frac {v_{1}}{v_{2}}}=\left({\frac {T_{2}}{T_{1}}}\right)^{\frac {1}{\kappa -1}};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa -1};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {p_{1}}{p_{2}}}\right)^{\frac {\kappa -1}{\kappa }}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </msup> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> <mi>κ</mi> </mfrac> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {v_{1}}{v_{2}}}=\left({\frac {T_{2}}{T_{1}}}\right)^{\frac {1}{\kappa -1}};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa -1};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {p_{1}}{p_{2}}}\right)^{\frac {\kappa -1}{\kappa }}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca111c307fd8d8ce72c0c22f0310992ba759c759" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:56.123ex; height:7.343ex;" alt="{\displaystyle {\frac {v_{1}}{v_{2}}}=\left({\frac {T_{2}}{T_{1}}}\right)^{\frac {1}{\kappa -1}};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {v_{2}}{v_{1}}}\right)^{\kappa -1};~~~~{\frac {T_{1}}{T_{2}}}=\left({\frac {p_{1}}{p_{2}}}\right)^{\frac {\kappa -1}{\kappa }}.}"></span></dd></dl> <p>Itt kétatomos gázokra <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 \kappa \approx 1{,}4\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>κ</mi> <mo>≈</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>4</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \kappa \approx 1{,}4\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c014b67b3068060333b1bb388f26de61c8a665b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.796ex; height:2.509ex;" alt="{\displaystyle \kappa \approx 1{,}4\,}"></span> az <a href="/wiki/Adiabatikus_kitev%C5%91" title="Adiabatikus kitevő">adiabatikus kitevő</a>. A külső <a href="/wiki/Termodinamikai_munka" title="Termodinamikai munka">munka</a> egyenlő a <a href="/wiki/Bels%C5%91_energia" title="Belső energia">belső energia</a> változásával: </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 L_{12}=\int _{1}^{2}p~dv=c_{v}(T_{2}-T_{1})={\frac {1}{\kappa -1}}(p_{1}v_{1}-p_{2}v_{2})={\frac {p_{1}v_{1}}{\kappa -1}}\left(1-{\frac {T_{2}}{T_{1}}}\right)={\frac {p_{1}v_{1}}{\kappa -1}}\left[1-\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {\kappa -1}{\kappa }}\right].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mi>p</mi> <mtext> </mtext> <mi>d</mi> <mi>v</mi> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>κ</mi> <mo>−</mo> <mn>1</mn> </mrow> <mi>κ</mi> </mfrac> </mrow> </msup> </mrow> <mo>]</mo> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L_{12}=\int _{1}^{2}p~dv=c_{v}(T_{2}-T_{1})={\frac {1}{\kappa -1}}(p_{1}v_{1}-p_{2}v_{2})={\frac {p_{1}v_{1}}{\kappa -1}}\left(1-{\frac {T_{2}}{T_{1}}}\right)={\frac {p_{1}v_{1}}{\kappa -1}}\left[1-\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {\kappa -1}{\kappa }}\right].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce57b50ec21c64137ee888faff0025649327bd73" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.671ex; width:100.062ex; height:8.509ex;" alt="{\displaystyle L_{12}=\int _{1}^{2}p~dv=c_{v}(T_{2}-T_{1})={\frac {1}{\kappa -1}}(p_{1}v_{1}-p_{2}v_{2})={\frac {p_{1}v_{1}}{\kappa -1}}\left(1-{\frac {T_{2}}{T_{1}}}\right)={\frac {p_{1}v_{1}}{\kappa -1}}\left[1-\left({\frac {p_{2}}{p_{1}}}\right)^{\frac {\kappa -1}{\kappa }}\right].}"></span></dd></dl> <p>Expanzió (tágulás) esetén a belső energia csökken, kompresszió (sűrítés) esetén nő. </p> <div class="mw-heading mw-heading2"><h2 id="Jegyzetek">Jegyzetek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Adiabatikus_%C3%A1llapotv%C3%A1ltoz%C3%A1s&action=edit&section=1" title="Szakasz szerkesztése: Jegyzetek"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="ref-1col"><div style="-moz-column-count:2; -webkit-column-count:2; column-count:2; -webkit-column-gap: 3em; -moz-column-gap: 3em; column-gap: 3em;"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Fülöp József: <i>Rövid kémiai értelmező és etimológiai szótár.</i> Celldömölk: Pauz–Westermann Könyvkiadó Kft. 1998.  9. o. <a href="/wiki/Speci%C3%A1lis:K%C3%B6nyvforr%C3%A1sok/9638334967" title="Speciális:Könyvforrások/9638334967">ISBN 963 8334 96 7</a> <small><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fhu.wikipedia.org%3AAdiabatikus+%C3%A1llapotv%C3%A1ltoz%C3%A1s&rft.au=F%C3%BCl%C3%B6p+J%C3%B3zsef&rft.btitle=R%C3%B6vid+k%C3%A9miai+%C3%A9rtelmez%C5%91+%C3%A9s+etimol%C3%B3giai+sz%C3%B3t%C3%A1r&rft.date=1998&rft.genre=book&rft.isbn=963+8334+96+7&rft.pages=9&rft.place=Celld%C3%B6m%C3%B6lk&rft.pub=Pauz%E2%80%93Westermann+K%C3%B6nyvkiad%C3%B3+Kft&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></small></span> </li> </ol></div></div><div class="ref-1col"><div style="-moz-column-count:2; 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