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href="#Objašnjenje"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Objašnjenje</span> </div> </a> <ul id="toc-Objašnjenje-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Povijest_zakona" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Povijest_zakona"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Povijest zakona</span> </div> </a> <ul id="toc-Povijest_zakona-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jednadžba" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Jednadžba"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Jednadžba</span> </div> </a> <ul id="toc-Jednadžba-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zabilješke" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zabilješke"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Zabilješke</span> </div> </a> <ul id="toc-Zabilješke-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vidi_još" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vidi_još"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Vidi još</span> </div> </a> <ul id="toc-Vidi_još-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izvori" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izvori"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Izvori</span> </div> </a> <ul id="toc-Izvori-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="Sadržaj" 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="Prikaz sadržaja stranice" > <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">Prikaz sadržaja stranice</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">Boyle-Mariotteov zakon</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="Idi na druge jezične varijante članka. Dostupan je na 75 jezika" > <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-75" 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">75 jezika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%A7%D9%86%D9%88%D9%86_%D8%A8%D9%88%D9%8A%D9%84" title="قانون بويل – arapski" lang="ar" hreflang="ar" data-title="قانون بويل" data-language-autonym="العربية" data-language-local-name="arapski" 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/Llei_de_Boyle-Mariotte" title="Llei de Boyle-Mariotte – asturijski" lang="ast" hreflang="ast" data-title="Llei de Boyle-Mariotte" data-language-autonym="Asturianu" data-language-local-name="asturijski" 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/Boyl-Mariott_qanunu" title="Boyl-Mariott qanunu – azerbajdžanski" lang="az" hreflang="az" data-title="Boyl-Mariott qanunu" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanski" 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%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%91%D0%BE%D0%B9%D0%BB%D1%8F-%D0%9C%D0%B0%D1%80%D1%8B%D1%91%D1%82%D0%B0" title="Закон Бойля-Марыёта – bjeloruski" lang="be" hreflang="be" data-title="Закон Бойля-Марыёта" data-language-autonym="Беларуская" data-language-local-name="bjeloruski" 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%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%BD%D0%B0_%D0%91%D0%BE%D0%B9%D0%BB_%E2%80%93_%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82" title="Закон на Бойл – Мариот – bugarski" lang="bg" hreflang="bg" data-title="Закон на Бойл – Мариот" data-language-autonym="Български" data-language-local-name="bugarski" 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%AC%E0%A6%AF%E0%A6%BC%E0%A7%87%E0%A6%B2%E0%A7%87%E0%A6%B0_%E0%A6%B8%E0%A7%82%E0%A6%A4%E0%A7%8D%E0%A6%B0" title="বয়েলের সূত্র – bangla" lang="bn" hreflang="bn" data-title="বয়েলের সূত্র" data-language-autonym="বাংলা" data-language-local-name="bangla" 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/Boyle-Mariotteov_zakon" title="Boyle-Mariotteov zakon – bosanski" lang="bs" hreflang="bs" data-title="Boyle-Mariotteov zakon" data-language-autonym="Bosanski" data-language-local-name="bosanski" 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/Llei_de_Boyle" title="Llei de Boyle – katalonski" lang="ca" hreflang="ca" data-title="Llei de Boyle" data-language-autonym="Català" data-language-local-name="katalonski" 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/%DB%8C%D8%A7%D8%B3%D8%A7%DB%8C_%D8%A8%DB%86%DB%8C%DA%B5" title="یاسای بۆیڵ – soranski kurdski" lang="ckb" hreflang="ckb" data-title="یاسای بۆیڵ" data-language-autonym="کوردی" data-language-local-name="soranski kurdski" 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/Boyle%C5%AFv%E2%80%93Mariott%C5%AFv_z%C3%A1kon" title="Boyleův–Mariottův zákon – češki" lang="cs" hreflang="cs" data-title="Boyleův–Mariottův zákon" data-language-autonym="Čeština" data-language-local-name="češki" 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%91%D0%BE%D0%B9%D0%BB%D1%8C_%E2%80%94_%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D1%82_%D1%81%D0%B0%D0%BA%D0%BA%D1%83%D0%BD%C4%95" title="Бойль — Мариотт саккунĕ – čuvaški" lang="cv" hreflang="cv" data-title="Бойль — Мариотт саккунĕ" data-language-autonym="Чӑвашла" data-language-local-name="čuvaški" 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/Deddf_Boyle" title="Deddf Boyle – velški" lang="cy" hreflang="cy" data-title="Deddf Boyle" data-language-autonym="Cymraeg" data-language-local-name="velški" 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/Boyles_lov" title="Boyles lov – danski" lang="da" hreflang="da" data-title="Boyles lov" data-language-autonym="Dansk" data-language-local-name="danski" 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/Thermische_Zustandsgleichung_idealer_Gase#Gesetz_von_Boyle-Mariotte" title="Thermische Zustandsgleichung idealer Gase – njemački" lang="de" hreflang="de" data-title="Thermische Zustandsgleichung idealer Gase" data-language-autonym="Deutsch" data-language-local-name="njemački" 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%9D%CF%8C%CE%BC%CE%BF%CF%82_%CF%84%CE%BF%CF%85_%CE%9C%CF%80%CF%8C%CE%B9%CE%BB" title="Νόμος του Μπόιλ – grčki" lang="el" hreflang="el" data-title="Νόμος του Μπόιλ" data-language-autonym="Ελληνικά" data-language-local-name="grčki" 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/Boyle%27s_law" title="Boyle's law – engleski" lang="en" hreflang="en" data-title="Boyle's law" data-language-autonym="English" data-language-local-name="engleski" 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/Le%C4%9Do_de_Boyle" title="Leĝo de Boyle – esperanto" lang="eo" hreflang="eo" data-title="Leĝo de Boyle" data-language-autonym="Esperanto" data-language-local-name="esperanto" 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/Ley_de_Boyle-Mariotte" title="Ley de Boyle-Mariotte – španjolski" lang="es" hreflang="es" data-title="Ley de Boyle-Mariotte" data-language-autonym="Español" data-language-local-name="španjolski" 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/Boyle%27i-Mariotte%27i_seadus" title="Boyle'i-Mariotte'i seadus – estonski" lang="et" hreflang="et" data-title="Boyle'i-Mariotte'i seadus" data-language-autonym="Eesti" data-language-local-name="estonski" 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/Boyle-Mariotteren_legea" title="Boyle-Mariotteren legea – baskijski" lang="eu" hreflang="eu" data-title="Boyle-Mariotteren legea" data-language-autonym="Euskara" data-language-local-name="baskijski" 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%82%D8%A7%D9%86%D9%88%D9%86_%D8%A8%D9%88%DB%8C%D9%84" title="قانون بویل – perzijski" lang="fa" hreflang="fa" data-title="قانون بویل" data-language-autonym="فارسی" data-language-local-name="perzijski" 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/Boylen_laki" title="Boylen laki – finski" lang="fi" hreflang="fi" data-title="Boylen laki" data-language-autonym="Suomi" data-language-local-name="finski" 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/Loi_de_Boyle-Mariotte" title="Loi de Boyle-Mariotte – francuski" lang="fr" hreflang="fr" data-title="Loi de Boyle-Mariotte" data-language-autonym="Français" data-language-local-name="francuski" 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/Dl%C3%AD_Boyle" title="Dlí Boyle – irski" lang="ga" hreflang="ga" data-title="Dlí Boyle" data-language-autonym="Gaeilge" data-language-local-name="irski" 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/Dlighe_%C3%9Ai_Bhaoghail" title="Dlighe Úi Bhaoghail – škotski gaelski" lang="gd" hreflang="gd" data-title="Dlighe Úi Bhaoghail" data-language-autonym="Gàidhlig" data-language-local-name="škotski gaelski" 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/Lei_de_Boyle" title="Lei de Boyle – galicijski" lang="gl" hreflang="gl" data-title="Lei de Boyle" data-language-autonym="Galego" data-language-local-name="galicijski" 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%97%D7%95%D7%A7_%D7%91%D7%95%D7%99%D7%9C-%D7%9E%D7%A8%D7%99%D7%95%D7%98" title="חוק בויל-מריוט – hebrejski" lang="he" hreflang="he" data-title="חוק בויל-מריוט" data-language-autonym="עברית" data-language-local-name="hebrejski" 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%AC%E0%A5%89%E0%A4%AF%E0%A4%B2_%E0%A4%95%E0%A4%BE_%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%AE" title="बॉयल का नियम – hindski" lang="hi" hreflang="hi" data-title="बॉयल का नियम" data-language-autonym="हिन्दी" data-language-local-name="hindski" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Boyle%E2%80%93Mariotte-t%C3%B6rv%C3%A9ny" title="Boyle–Mariotte-törvény – mađarski" lang="hu" hreflang="hu" data-title="Boyle–Mariotte-törvény" data-language-autonym="Magyar" data-language-local-name="mađarski" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%B8%D5%B5%D5%AC-%D5%84%D5%A1%D6%80%D5%AB%D5%B8%D5%BF%D5%AB_%D6%85%D6%80%D5%A5%D5%B6%D6%84" title="Բոյլ-Մարիոտի օրենք – armenski" lang="hy" hreflang="hy" data-title="Բոյլ-Մարիոտի օրենք" data-language-autonym="Հայերեն" data-language-local-name="armenski" 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/Hukum_Boyle" title="Hukum Boyle – indonezijski" lang="id" hreflang="id" data-title="Hukum Boyle" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/L%C3%B6gm%C3%A1l_Boyles" title="Lögmál Boyles – islandski" lang="is" hreflang="is" data-title="Lögmál Boyles" data-language-autonym="Íslenska" data-language-local-name="islandski" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Legge_di_Boyle-Mariotte" title="Legge di Boyle-Mariotte – talijanski" lang="it" hreflang="it" data-title="Legge di Boyle-Mariotte" data-language-autonym="Italiano" data-language-local-name="talijanski" 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/%E3%83%9C%E3%82%A4%E3%83%AB%E3%81%AE%E6%B3%95%E5%89%87" title="ボイルの法則 – japanski" lang="ja" hreflang="ja" data-title="ボイルの法則" data-language-autonym="日本語" data-language-local-name="japanski" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Hukum_Boyle" title="Hukum Boyle – javanski" lang="jv" hreflang="jv" data-title="Hukum Boyle" data-language-autonym="Jawa" data-language-local-name="javanski" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%91%D0%BE%D0%B9%D0%BB%D1%8C%E2%80%93%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D1%82_%D0%B7%D0%B0%D2%A3%D1%8B" title="Бойль–Мариотт заңы – kazaški" lang="kk" hreflang="kk" data-title="Бойль–Мариотт заңы" data-language-autonym="Қазақша" data-language-local-name="kazaški" 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%B3%B4%EC%9D%BC%EC%9D%98_%EB%B2%95%EC%B9%99" title="보일의 법칙 – korejski" lang="ko" hreflang="ko" data-title="보일의 법칙" data-language-autonym="한국어" data-language-local-name="korejski" 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%91%D0%BE%D0%B9%D0%BB%D1%8C-%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D1%82_%D0%BC%D1%8B%D0%B9%D0%B7%D0%B0%D0%BC%D1%8B" title="Бойль-Мариотт мыйзамы – kirgiski" lang="ky" hreflang="ky" data-title="Бойль-Мариотт мыйзамы" data-language-autonym="Кыргызча" data-language-local-name="kirgiski" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Lezze_de_Boyle" title="Lezze de Boyle – Ligurian" lang="lij" hreflang="lij" data-title="Lezze de Boyle" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Boilio_ir_Marioto_d%C4%97snis" title="Boilio ir Marioto dėsnis – litavski" lang="lt" hreflang="lt" data-title="Boilio ir Marioto dėsnis" data-language-autonym="Lietuvių" data-language-local-name="litavski" 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/Boila%E2%80%94Mariota_likums" title="Boila—Mariota likums – latvijski" lang="lv" hreflang="lv" data-title="Boila—Mariota likums" data-language-autonym="Latviešu" data-language-local-name="latvijski" 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%91%D0%BE%D1%98%D0%BB-%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D0%BE%D0%B2_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD" title="Бојл-Мариотов закон – makedonski" lang="mk" hreflang="mk" data-title="Бојл-Мариотов закон" data-language-autonym="Македонски" data-language-local-name="makedonski" 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%AC%E0%B5%8B%E0%B4%AF%E0%B4%BF%E0%B5%BD_%E0%B4%A8%E0%B4%BF%E0%B4%AF%E0%B4%AE%E0%B4%82" title="ബോയിൽ നിയമം – malajalamski" lang="ml" hreflang="ml" data-title="ബോയിൽ നിയമം" data-language-autonym="മലയാളം" data-language-local-name="malajalamski" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Hukum_Boyle" title="Hukum Boyle – malajski" lang="ms" hreflang="ms" data-title="Hukum Boyle" data-language-autonym="Bahasa Melayu" data-language-local-name="malajski" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%98%E1%80%BD%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%9C%E1%80%BA%E1%81%8F_%E1%80%94%E1%80%AD%E1%80%9A%E1%80%AC%E1%80%99" title="ဘွိုင်းလ်၏ နိယာမ – burmanski" lang="my" hreflang="my" data-title="ဘွိုင်းလ်၏ နိယာမ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="burmanski" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wet_van_Boyle" title="Wet van Boyle – nizozemski" lang="nl" hreflang="nl" data-title="Wet van Boyle" data-language-autonym="Nederlands" data-language-local-name="nizozemski" 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/Boyle-Mariotte-lova" title="Boyle-Mariotte-lova – norveški nynorsk" lang="nn" hreflang="nn" data-title="Boyle-Mariotte-lova" data-language-autonym="Norsk nynorsk" data-language-local-name="norveški 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/Boyle-Mariottes_lov" title="Boyle-Mariottes lov – norveški bokmål" lang="nb" hreflang="nb" data-title="Boyle-Mariottes lov" data-language-autonym="Norsk bokmål" data-language-local-name="norveški 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%AC%E0%A9%8B%E0%A8%8F%E0%A8%B2_%E0%A8%A6%E0%A8%BE_%E0%A8%95%E0%A8%BE%E0%A8%A8%E0%A9%82%E0%A9%B0%E0%A8%A8" title="ਬੋਏਲ ਦਾ ਕਾਨੂੰਨ – pandžapski" lang="pa" hreflang="pa" data-title="ਬੋਏਲ ਦਾ ਕਾਨੂੰਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžapski" 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/Prawo_Boyle%E2%80%99a-Mariotte%E2%80%99a" title="Prawo Boyle’a-Mariotte’a – poljski" lang="pl" hreflang="pl" data-title="Prawo Boyle’a-Mariotte’a" data-language-autonym="Polski" data-language-local-name="poljski" 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/Lej_%C3%ABd_Boyle-Mariotte" title="Lej ëd Boyle-Mariotte – Piedmontese" lang="pms" hreflang="pms" data-title="Lej ëd Boyle-Mariotte" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A8%D9%88%D8%A7%D8%A6%D9%84_%D8%AF%D8%A7_%D9%82%D9%86%D9%88%D9%86" title="بوائل دا قنون – Western Punjabi" lang="pnb" hreflang="pnb" data-title="بوائل دا قنون" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Lei_de_Boyle-Mariotte" title="Lei de Boyle-Mariotte – portugalski" lang="pt" hreflang="pt" data-title="Lei de Boyle-Mariotte" data-language-autonym="Português" data-language-local-name="portugalski" 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/Legea_Boyle-Mariotte" title="Legea Boyle-Mariotte – rumunjski" lang="ro" hreflang="ro" data-title="Legea Boyle-Mariotte" data-language-autonym="Română" data-language-local-name="rumunjski" 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%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%91%D0%BE%D0%B9%D0%BB%D1%8F_%E2%80%94_%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D1%82%D0%B0" title="Закон Бойля — Мариотта – ruski" lang="ru" hreflang="ru" data-title="Закон Бойля — Мариотта" data-language-autonym="Русский" data-language-local-name="ruski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A8%D9%88%D8%A7%D8%A6%D9%84_%D8%AC%D9%88_%DA%AF%D9%8A%D8%B3_%D8%AC%D9%88_%D9%82%D8%A7%D9%86%D9%88%D9%86" title="بوائل جو گيس جو قانون – sindski" lang="sd" hreflang="sd" data-title="بوائل جو گيس جو قانون" data-language-autonym="سنڌي" data-language-local-name="sindski" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Boyle-Mariotteov_zakon" title="Boyle-Mariotteov zakon – srpsko-hrvatski" lang="sh" hreflang="sh" data-title="Boyle-Mariotteov zakon" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpsko-hrvatski" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B6%E0%B7%9C%E0%B6%BA%E0%B7%92%E0%B6%BD%E0%B7%8A_%E0%B6%B1%E0%B7%92%E0%B6%BA%E0%B6%B8%E0%B6%BA" title="බොයිල් නියමය – sinhaleški" lang="si" hreflang="si" data-title="බොයිල් නියමය" data-language-autonym="සිංහල" data-language-local-name="sinhaleški" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Boyle%27s_law" title="Boyle's law – Simple English" lang="en-simple" hreflang="en-simple" data-title="Boyle's law" 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/Boylov-Mariottov_z%C3%A1kon" title="Boylov-Mariottov zákon – slovački" lang="sk" hreflang="sk" data-title="Boylov-Mariottov zákon" data-language-autonym="Slovenčina" data-language-local-name="slovački" 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/Boylov_zakon" title="Boylov zakon – slovenski" lang="sl" hreflang="sl" data-title="Boylov zakon" data-language-autonym="Slovenščina" data-language-local-name="slovenski" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Ligji_i_Bojl-Mariotit" title="Ligji i Bojl-Mariotit – albanski" lang="sq" hreflang="sq" data-title="Ligji i Bojl-Mariotit" data-language-autonym="Shqip" data-language-local-name="albanski" 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%91%D0%BE%D1%98%D0%BB%E2%80%94%D0%9C%D0%B0%D1%80%D0%B8%D0%BE%D1%82%D0%BE%D0%B2_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD" title="Бојл—Мариотов закон – srpski" lang="sr" hreflang="sr" data-title="Бојл—Мариотов закон" data-language-autonym="Српски / srpski" data-language-local-name="srpski" 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/Boyles_lag" title="Boyles lag – švedski" lang="sv" hreflang="sv" data-title="Boyles lag" data-language-autonym="Svenska" data-language-local-name="švedski" 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%AA%E0%AE%BE%E0%AE%AF%E0%AE%BF%E0%AE%B2%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%B5%E0%AE%BF%E0%AE%A4%E0%AE%BF" title="பாயிலின் விதி – tamilski" lang="ta" hreflang="ta" data-title="பாயிலின் விதி" data-language-autonym="தமிழ்" data-language-local-name="tamilski" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Batas_ni_Boyle" title="Batas ni Boyle – tagalog" lang="tl" hreflang="tl" data-title="Batas ni Boyle" 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/Boyle_yasas%C4%B1" title="Boyle yasası – turski" lang="tr" hreflang="tr" data-title="Boyle yasası" data-language-autonym="Türkçe" data-language-local-name="turski" 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%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%91%D0%BE%D0%B9%D0%BB%D1%8F_%E2%80%94_%D0%9C%D0%B0%D1%80%D1%96%D0%BE%D1%82%D1%82%D0%B0" title="Закон Бойля — Маріотта – ukrajinski" lang="uk" hreflang="uk" data-title="Закон Бойля — Маріотта" data-language-autonym="Українська" data-language-local-name="ukrajinski" 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%82%D8%A7%D9%86%D9%88%D9%86_%D8%A8%D9%88%D8%A7%D8%A6%D9%84" title="قانون بوائل – urdski" lang="ur" hreflang="ur" data-title="قانون بوائل" data-language-autonym="اردو" data-language-local-name="urdski" 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/Boyl-Mariott_qonuni" title="Boyl-Mariott qonuni – uzbečki" lang="uz" hreflang="uz" data-title="Boyl-Mariott qonuni" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečki" 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%8Bnh_lu%E1%BA%ADt_Boyle-Mariotte" title="Định luật Boyle-Mariotte – vijetnamski" lang="vi" hreflang="vi" data-title="Định luật Boyle-Mariotte" data-language-autonym="Tiếng Việt" data-language-local-name="vijetnamski" 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%8E%BB%E6%84%8F%E8%80%B3-%E9%A9%AC%E7%95%A5%E7%89%B9%E5%AE%9A%E5%BE%8B" title="玻意耳-马略特定律 – wu kineski" lang="wuu" hreflang="wuu" data-title="玻意耳-马略特定律" data-language-autonym="吴语" data-language-local-name="wu kineski" 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%8E%BB%E6%84%8F%E8%80%B3-%E9%A9%AC%E7%95%A5%E7%89%B9%E5%AE%9A%E5%BE%8B" title="玻意耳-马略特定律 – kineski" lang="zh" hreflang="zh" data-title="玻意耳-马略特定律" data-language-autonym="中文" data-language-local-name="kineski" 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/Boyle_hoat-chek" title="Boyle hoat-chek – min nan kineski" lang="nan" hreflang="nan" data-title="Boyle hoat-chek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan kineski" 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%B3%A2%E7%88%BE%E5%AE%9A%E5%BE%8B" title="波爾定律 – kantonski" lang="yue" hreflang="yue" 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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hr" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Boyles_Law_animated.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Boyles_Law_animated.gif/300px-Boyles_Law_animated.gif" decoding="async" width="300" height="227" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Boyles_Law_animated.gif/450px-Boyles_Law_animated.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/1/15/Boyles_Law_animated.gif 2x" data-file-width="532" data-file-height="403" /></a><figcaption>Boyle-Mariotteov zakon.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Boyle-Mariotteov_zakon_1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/hr/thumb/e/e2/Boyle-Mariotteov_zakon_1.png/300px-Boyle-Mariotteov_zakon_1.png" decoding="async" width="300" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/hr/e/e2/Boyle-Mariotteov_zakon_1.png 1.5x" data-file-width="363" data-file-height="354" /></a><figcaption><a href="/wiki/Graf" class="mw-disambig" title="Graf">Graf</a> originalnih rezultata koje je dobio <a href="/wiki/Robert_Boyle" title="Robert Boyle">Robert Boyle</a>.</figcaption></figure> <p><b>Boyle-Mariotteov zakon</b> opisuje istodobnu <a href="/wiki/Izoterma" title="Izoterma">izotermnu</a> (<a href="/wiki/Temperatura" title="Temperatura"><i>T</i></a> = konstantno) promjenu <a href="/wiki/Tlak" title="Tlak">tlaka</a> i <a href="/wiki/Volumen" class="mw-redirect" title="Volumen">volumena</a> <a href="/wiki/Plin" title="Plin">plina</a>. Volumen plina mijenja se s tlakom prema jednakosti: </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 \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}=...=p_{i}\cdot V_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>⋅</mo> <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> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}=...=p_{i}\cdot V_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cfcb9fe69947f6eedf6f5aae7da7424c5390874a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:34.18ex; height:2.509ex;" alt="{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}=...=p_{i}\cdot V_{i}}"></span></dd></dl> <p>odnosno: </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 \qquad p\cdot V=konstanta}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <mi>p</mi> <mo>⋅</mo> <mi>V</mi> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p\cdot V=konstanta}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec8886f697b4d2174fbd872dbe3c65275b53aaa8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.737ex; height:2.509ex;" alt="{\displaystyle \qquad p\cdot V=konstanta}"></span></dd></dl> <p>za stalnu <a href="/wiki/Temperatura" title="Temperatura">temperaturu</a> (<i>T</i> = konstantno). Vrijednost konstante ovisi o temperaturi i količini plina. Dakle, na stalnoj temperaturi <a href="/wiki/Tlak" title="Tlak">tlak</a> i <a href="/wiki/Volumen" class="mw-redirect" title="Volumen">volumen</a> plina obrnuto su razmjerni u zatvorenom plinskom sustavu. U p-V dijagramu Boyle-Mariotteov zakon prikazuje se <a href="/wiki/Izoterma" title="Izoterma">izotermama</a>. Ovdje su to <a href="/wiki/Hiperbola" class="mw-disambig" title="Hiperbola">hiperbole</a> s temperaturom <i>T</i> kao parametrom. Boyle-Mariotteov zakon vrijedi u potpunosti za <a href="/wiki/Idealni_plin" title="Idealni plin">idealni plin</a>, dok za <a href="/wiki/Realni_plin" title="Realni plin">realne plinove</a> pri visokim <a href="/wiki/Tlak" title="Tlak">tlakovima</a> nastaju manji otkloni.<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> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Objašnjenje"><span id="Obja.C5.A1njenje"></span>Objašnjenje</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=1" title="Uredi odlomak: Objašnjenje" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=1" title="Uredi kôd odjeljka Objašnjenje"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Imamo li u jednom <a href="/wiki/Cilindar" class="mw-disambig" title="Cilindar">cilindru</a> koji je zatvoren <a href="/wiki/Stap" title="Stap">stapom</a> ili <a href="/wiki/Klip_stroja" title="Klip stroja">klipom</a> neku količinu plina, on tlači na stijenke posude. Kako plin nastoji da se širi na što veći <a href="/wiki/Obujam" title="Obujam">obujam</a> (<a href="/wiki/Volumen" class="mw-redirect" title="Volumen">volumen</a>), moramo odozgo na stap staviti <a href="/wiki/Uteg" title="Uteg">uteg</a> čiji <a href="/wiki/Tlak" title="Tlak">tlak</a> mora biti jednak unutarnjem tlaku plina. Metnemo li na stap u cilindru veći uteg, obujam plina će se smanjiti, ali će mu se povećati tlak. To znači da se tlak plina zbog smanjenja obujma toliko povećao da je u stanju držati <a href="/wiki/Ravnote%C5%BEa_(mehanika)" title="Ravnoteža (mehanika)">ravnotežu</a> vanjskom tlaku. Obratno, ako se vanjski tlak smanji, plin će se dotle raširiti, to jest povećati svoj obujam, dok stap u novom položaju ne bude opet u ravnoteži. To znači da je tlak plina zbog povećanja obujma pao i izravnao se s vanjskim smanjenim tlakom. Navedeni <a href="/wiki/Pokus" title="Pokus">pokus</a> moramo vršiti uz jednaku <a href="/wiki/Temperatura" title="Temperatura">temperaturu</a>. Temperaturu držimo stalno tako da cilindar stavimo u posudu kroz koju struji voda iste temperature. </p><p>Za plinove je uopće svojstveno da mala promjena vanjskog tlaka izaziva veliku promjenu obujma, dok kod <a href="/wiki/Krutine" title="Krutine">krutih tijela</a> vrlo velika promjena tlaka izaziva malu promjenu obujma. Kako se mijenja obujam plina s tlakom, ustanovili su pokusima <a href="/wiki/Robert_Boyle" title="Robert Boyle">Robert Boyle</a> i <a href="/wiki/Edme_Mariotte" title="Edme Mariotte">Edme Mariotte</a>, neovisno jedan o drugome: </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}}}\ ={\frac {V_{2}}{V_{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> <mtext> </mtext> <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> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {p_{1}}{p_{2}}}\ ={\frac {V_{2}}{V_{1}}}\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9eb09c32584f89acec1e65c635423cd569b395e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.565ex; height:5.676ex;" alt="{\displaystyle {\frac {p_{1}}{p_{2}}}\ ={\frac {V_{2}}{V_{1}}}\ }"></span></dd></dl> <p>Ovaj izraz predstavlja Boyle-Mariotteov zakon koji glasi: </p> <div style="margin-bottom: 0.5em; padding-left:3%; padding-right:3%; color:var(--color-subtle, #54595d); text-align: left; font-size:95%"> <span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/15px-Wikiquote-logo.svg.png" decoding="async" width="15" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/23px-Wikiquote-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/30px-Wikiquote-logo.svg.png 2x" data-file-width="300" data-file-height="355" /></span></span> »<b>Kod stalne temperature tlakovi određene količine plina odnose se obrnuto razmjerno (proporcionalno) obujmima plina pri tim tlakovima.</b>«</div> <p>Takve promjene u stanju plinova koje se zbivaju kod iste temperature nazivaju se <a href="/wiki/Izoterma" title="Izoterma">izotermne promjene</a>. </p><p>Navedeni izraz možemo napisati i na drugi način: </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 \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}==p_{3}\cdot V_{3}=...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>⋅</mo> <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> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>==</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>=</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}==p_{3}\cdot V_{3}=...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/627cf9e0af72702c373d2d165bbf0bd8afced6f1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:36.755ex; height:2.509ex;" alt="{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}==p_{3}\cdot V_{3}=...}"></span></dd></dl> <p>ili općenito:<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</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 \qquad p_{i}\cdot V_{i}=konstanta}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p_{i}\cdot V_{i}=konstanta}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b135c68222651501d7e4c400303409b4c838e6d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:23.904ex; height:2.509ex;" alt="{\displaystyle \qquad p_{i}\cdot V_{i}=konstanta}"></span></dd></dl> <div style="margin-bottom: 0.5em; padding-left:3%; padding-right:3%; color:var(--color-subtle, #54595d); text-align: left; font-size:95%"> <span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/15px-Wikiquote-logo.svg.png" decoding="async" width="15" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/23px-Wikiquote-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/30px-Wikiquote-logo.svg.png 2x" data-file-width="300" data-file-height="355" /></span></span> »<b>Kod izotermne promjene stanja plina, umnožak tlaka i obujma određene količine plina je stalna vrijednost.</b>«</div> <div class="mw-heading mw-heading2"><h2 id="Povijest_zakona">Povijest zakona</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=2" title="Uredi odlomak: Povijest zakona" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=2" title="Uredi kôd odjeljka Povijest zakona"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ovaj zakon je nazvan po <a href="/wiki/Irci" title="Irci">irskom</a> znanstveniku i <a href="/wiki/Filozofija" title="Filozofija">filozofu</a> <a href="/wiki/Robert_Boyle" title="Robert Boyle">Robertu Boyleu</a> (1627. – 1691.). Prvi put je izdan <a href="/wiki/1662." title="1662.">1662.</a> Zakon je nastao nakon suradnje s dvojicom kolega znanstvenika amatera, Richardom Towneleyem i Henryjem Powerom, koji su ga i otkrili. Ovo pravilo se nazvalo po Boyleu jer je on <a href="/wiki/Pokus" title="Pokus">pokusima</a> dokazao i u javnost iznio pravilnu teoriju svojih kolega. </p><p>Prema Robertu Guntheru i ostalim autoritetima u <a href="/wiki/Fizika" title="Fizika">fizici</a> toga doba, <a href="/wiki/Robert_Hooke" title="Robert Hooke">Robert Hooke</a>, izumitelj primitivnoga <a href="/wiki/Mikroskop" title="Mikroskop">mikroskopa</a>, mogao je također značajno pridonijeti razvoju ovoga zakona, jer je bio napredniji <a href="/wiki/Matemati%C4%8Dar" title="Matematičar">matematičar</a> od Boylea. Hooke je također pripremio <a href="/wiki/Vakuum" title="Vakuum">vakuumske</a> cijevi u svrhu pokusa. <a href="/wiki/Francuzi" title="Francuzi">Francuski</a> fizičar <a href="/wiki/Edme_Mariotte" title="Edme Mariotte">Edme Mariotte</a> (1620. – 1684.) otkrio je isti zakon u približno isto vrijeme, pa se i u njegovu čast ovaj zakon ponekad zove <b>Boyle-Mariotteov zakon</b>. No, kako je već objašnjeno, Boyle je prvi dokazao teorijsku stranu ovoga pokusa, te je njegovo ime značajnije u ovom slučaju. </p> <div class="mw-heading mw-heading2"><h2 id="Jednadžba"><span id="Jednad.C5.BEba"></span>Jednadžba</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=3" title="Uredi odlomak: Jednadžba" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=3" title="Uredi kôd odjeljka Jednadžba"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Boyleov zakon određuje da je umnožak <a href="/wiki/Obujam" title="Obujam">obujma</a> i <a href="/wiki/Tlak" title="Tlak">tlaka</a> jednak konstantnom <a href="/wiki/Idealni_plin" title="Idealni plin">idealnom plinu</a>, pod uvjetom da je <a href="/wiki/Temperatura" title="Temperatura">temperatura</a> <a href="/wiki/Konstanta" title="Konstanta">konstantna</a>. Matematički zapis ove jednadžbe je: </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 \qquad \qquad p\cdot V=k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <mspace width="2em" /> <mi>p</mi> <mo>⋅</mo> <mi>V</mi> <mo>=</mo> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad \qquad p\cdot V=k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33e51e24d98001ca4cd6f17fbb2e712bfc32cb8f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.236ex; height:2.509ex;" alt="{\displaystyle \qquad \qquad p\cdot V=k}"></span> </p><p>gdje: </p> <ul><li><i>V</i> - <a href="/wiki/Obujam" title="Obujam">obujam</a> plina;</li> <li><i>p</i> - <a href="/wiki/Tlak" title="Tlak">tlak</a> plina;</li> <li><i>k</i> - <a href="/wiki/Konstanta" title="Konstanta">konstanta</a> (<a href="/wiki/Boyleov_zakon#Zabilješke" class="mw-redirect" title="Boyleov zakon">vidi zabilješke</a>)</li></ul> <p>Vrijednost <i>k</i> je izračunata iz mjerenja obujma i tlaka stalno iste količine plina. Nakon promjene u sustavu, najčešće prisilnom promjenom u obujmu cijevi koje sadrži istu količinu plina, novi obujam i novi tlak se mjere. Rezultat izračunoga umnoška novog tlaka i novog obujma bi trebali biti originalna vrijednost konstante <i>k</i>. Obujam <i>V</i> i tlak <i>p</i> su obrnuto proporcionalni: veći obujam znaći manji tlak, te manji obujam znači veći tlak. </p><p>U dvije jednadžbe ispod, očito je da su jednadžbe povezane jednakošću, a govore da se, uz stalno istu količinu plina i istu temperaturu mijenjaju obujam i tlak proporcionalno: </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 \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>⋅</mo> <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> <mo>⋅</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/413c5bc6913124d0f357f994fa14f260efd111b3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.368ex; height:2.509ex;" alt="{\displaystyle \qquad p_{1}\cdot V_{1}=p_{2}\cdot V_{2}}"></span> </p><p>U praksi se ova jednadžba rješava na način da se iz jednadžbe ispod odredi učinak buduće promjene u drugoj jednadžbi. Na primjer: </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 \qquad p_{2}=p_{1}\cdot {\frac {V_{1}}{V_{2}}}\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>⋅</mo> <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> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad p_{2}=p_{1}\cdot {\frac {V_{1}}{V_{2}}}\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63d51a9ff343f1187614a667748c810fa9bd2dff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:17.696ex; height:5.509ex;" alt="{\displaystyle \qquad p_{2}=p_{1}\cdot {\frac {V_{1}}{V_{2}}}\ }"></span> </p><p>Boyleov, <a href="/wiki/Charlesov_zakon" title="Charlesov zakon">Charlesov</a> i <a href="/wiki/Gay-Lussacov_zakon" title="Gay-Lussacov zakon">Gay-Lussacov zakon</a> tvore <i>Zakon kombiniranih plinova</i>. Ova tri zakona u kombinaciji s <a href="/wiki/Avogadrov_zakon" title="Avogadrov zakon">Avogadrovim zakonom</a> čine <a href="/wiki/Jednad%C5%BEba_stanja_idealnog_plina" title="Jednadžba stanja idealnog plina">zakon idealnog plina</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Zabilješke"><span id="Zabilje.C5.A1ke"></span>Zabilješke</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=4" title="Uredi odlomak: Zabilješke" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=4" title="Uredi kôd odjeljka Zabilješke"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sve dok je <a href="/wiki/Temperatura" title="Temperatura">temperatura</a> konstantna i količina plina ograničena, a da su oboje uključeni u jednadžbu Boyleovog zakona, <i>k</i> je <a href="/wiki/Konstanta" title="Konstanta">konstantna</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Vidi_još"><span id="Vidi_jo.C5.A1"></span>Vidi još</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=5" title="Uredi odlomak: Vidi još" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=5" title="Uredi kôd odjeljka Vidi još"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Avogadrov_zakon" title="Avogadrov zakon">Avogadrov zakon</a></li> <li><a href="/wiki/Barotrauma" title="Barotrauma">Barotrauma</a></li> <li><a href="/wiki/Charlesov_zakon" title="Charlesov zakon">Charlesov zakon</a></li> <li><a href="/wiki/Daltonov_zakon" title="Daltonov zakon">Daltonov zakon</a></li> <li><a href="/wiki/Gay-Lussacov_zakon" title="Gay-Lussacov zakon">Gay-Lussacov zakon</a></li> <li><a href="/wiki/Plinski_zakoni" title="Plinski zakoni">Plinski zakoni</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Izvori">Izvori</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&veaction=edit&section=6" title="Uredi odlomak: Izvori" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boyle-Mariotteov_zakon&action=edit&section=6" title="Uredi kôd odjeljka Izvori"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r6541845">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r7012897">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"»""«"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.enciklopedija.hr//natuknica.aspx?ID=9089">Boyle-Mariotteov zakon</a>. <i>Hrvatska enciklopedija</i>. Leksikografski zavod Miroslav Krleža. 2015.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Hrvatska+enciklopedija&rft.atitle=Boyle-Mariotteov+zakon&rft.date=2015&rft_id=https%3A%2F%2Fwww.enciklopedija.hr%2F%2Fnatuknica.aspx%3FID%3D9089&rfr_id=info%3Asid%2Fhr.wikipedia.org%3ABoyle-Mariotteov+zakon" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"> Velimir Kruz: "Tehnička fizika za tehničke škole", "Školska knjiga" Zagreb, 1969.</span> </li> </ol></div></div> <div style="padding:3px"><div style="display:table-cell; vertical-align:middle; text-align:center; width:2em; font-family:serif; font-size:180%; padding-right:3px; letter-spacing:-0.1em; background:#f0e0b0">HE</div><div style="display:table-cell; vertical-align:middle; font-size:82%; padding-left:3px">Dio sadržaja ove stranice preuzet je iz mrežnog izdanja <a href="/wiki/Hrvatska_enciklopedija_(LZMK)" title="Hrvatska enciklopedija (LZMK)">Hrvatske enciklopedije</a> i nije slobodan za daljnju upotrebu pod uvjetima Wikipedijine licencije o sadržaju. Uvjete upotrebe uz <a href="/wiki/Wikipedija:Dopu%C5%A1tenja_za_kori%C5%A1tenje_sadr%C5%BEaja/Ustanove#Leksikografski_zavod_"Miroslav_Krleža"" title="Wikipedija:Dopuštenja za korištenje sadržaja/Ustanove">dano nam pojašnjenje</a> pogledajte na <a rel="nofollow" class="external text" href="https://www.enciklopedija.hr/Upute/">stranici Leksikografskog zavoda</a></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Dobavljeno iz "<a dir="ltr" href="https://hr.wikipedia.org/w/index.php?title=Boyle-Mariotteov_zakon&oldid=6908872">https://hr.wikipedia.org/w/index.php?title=Boyle-Mariotteov_zakon&oldid=6908872</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Posebno:Kategorije" title="Posebno:Kategorije">Kategorije</a>: <ul><li><a href="/wiki/Kategorija:Sadr%C5%BEaj_preuzet_iz_Hrvatske_enciklopedije" title="Kategorija:Sadržaj preuzet iz Hrvatske enciklopedije">Sadržaj preuzet iz Hrvatske enciklopedije</a></li><li><a href="/wiki/Kategorija:Plinski_zakoni" title="Kategorija:Plinski zakoni">Plinski zakoni</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Ova stranica posljednji je put uređivana 11. travnja 2024. u 13:22.</li> <li id="footer-info-copyright">Tekst je dostupan pod licencijom <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.hr">Creative Commons: Imenuj autora/Dijeli pod istim uvjetima</a>; mogu se primjenjivati i dodatni uvjeti. 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