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Inre energi – Wikipedia

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class="mw-page-title-main">Inre energi</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="Gå till en artikel på ett annat språk. Tillgänglig på 66 språk" > <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-66" 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">66 språk</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/%D8%B7%D8%A7%D9%82%D8%A9_%D8%AF%D8%A7%D8%AE%D9%84%D9%8A%D8%A9" title="طاقة داخلية – arabiska" lang="ar" hreflang="ar" data-title="طاقة داخلية" data-language-autonym="العربية" data-language-local-name="arabiska" 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/Enerx%C3%ADa_interno" title="Enerxía interno – asturiska" lang="ast" hreflang="ast" data-title="Enerxía interno" data-language-autonym="Asturianu" data-language-local-name="asturiska" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A6%AD%E0%A7%8D%E0%A6%AF%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0%E0%A7%80%E0%A6%A3_%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF" title="অভ্যন্তরীণ শক্তি – bengali" lang="bn" hreflang="bn" data-title="অভ্যন্তরীণ শক্তি" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/L%C5%8De-l%C3%AAng" title="Lōe-lêng – min nan" lang="nan" hreflang="nan" data-title="Lōe-lêng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A3%D0%BD%D1%83%D1%82%D1%80%D0%B0%D0%BD%D0%B0%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%8F" title="Унутраная энергія – belarusiska" lang="be" hreflang="be" data-title="Унутраная энергія" data-language-autonym="Беларуская" data-language-local-name="belarusiska" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9D%D1%83%D1%82%D1%80%D0%B0%D0%BD%D0%B0%D1%8F_%D1%8D%D0%BD%D1%8D%D1%80%D0%B3%D1%96%D1%8F" title="Нутраная энэргія – belarusiska (tarasjkevitsa)" lang="be-tarask" hreflang="be-tarask" data-title="Нутраная энэргія" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="belarusiska (tarasjkevitsa)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%92%D1%8A%D1%82%D1%80%D0%B5%D1%88%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Вътрешна енергия – bulgariska" lang="bg" hreflang="bg" data-title="Вътрешна енергия" data-language-autonym="Български" data-language-local-name="bulgariska" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Unutra%C5%A1nja_energija" title="Unutrašnja energija – bosniska" lang="bs" hreflang="bs" data-title="Unutrašnja energija" data-language-autonym="Bosanski" data-language-local-name="bosniska" 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/Energia_interna" title="Energia interna – katalanska" lang="ca" hreflang="ca" data-title="Energia interna" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A8%D0%B0%D0%BB%D1%82%D0%B8_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="Шалти энерги – tjuvasjiska" lang="cv" hreflang="cv" data-title="Шалти энерги" data-language-autonym="Чӑвашла" data-language-local-name="tjuvasjiska" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Vnit%C5%99n%C3%AD_energie" title="Vnitřní energie – tjeckiska" lang="cs" hreflang="cs" data-title="Vnitřní energie" data-language-autonym="Čeština" data-language-local-name="tjeckiska" 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/Indre_energi" title="Indre energi – danska" lang="da" hreflang="da" data-title="Indre energi" data-language-autonym="Dansk" data-language-local-name="danska" 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/Innere_Energie" title="Innere Energie – tyska" lang="de" hreflang="de" data-title="Innere Energie" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Siseenergia" title="Siseenergia – estniska" lang="et" hreflang="et" data-title="Siseenergia" data-language-autonym="Eesti" data-language-local-name="estniska" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CF%83%CF%89%CF%84%CE%B5%CF%81%CE%B9%CE%BA%CE%AE_%CE%B5%CE%BD%CE%AD%CF%81%CE%B3%CE%B5%CE%B9%CE%B1" title="Εσωτερική ενέργεια – grekiska" lang="el" hreflang="el" data-title="Εσωτερική ενέργεια" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" 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/Internal_energy" title="Internal energy – engelska" lang="en" hreflang="en" data-title="Internal energy" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Energ%C3%ADa_interna" title="Energía interna – spanska" lang="es" hreflang="es" data-title="Energía interna" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Interna_energio" title="Interna energio – esperanto" lang="eo" hreflang="eo" data-title="Interna energio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Barne_energia" title="Barne energia – baskiska" lang="eu" hreflang="eu" data-title="Barne energia" data-language-autonym="Euskara" data-language-local-name="baskiska" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D9%86%D8%B1%DA%98%DB%8C_%D8%AF%D8%B1%D9%88%D9%86%DB%8C" title="انرژی درونی – persiska" lang="fa" hreflang="fa" data-title="انرژی درونی" data-language-autonym="فارسی" data-language-local-name="persiska" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/%C3%89nergie_interne" title="Énergie interne – franska" lang="fr" hreflang="fr" data-title="Énergie interne" data-language-autonym="Français" data-language-local-name="franska" 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/Fuinneamh_inmhe%C3%A1nach" title="Fuinneamh inmheánach – iriska" lang="ga" hreflang="ga" data-title="Fuinneamh inmheánach" data-language-autonym="Gaeilge" data-language-local-name="iriska" 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/Enerx%C3%ADa_interna" title="Enerxía interna – galiciska" lang="gl" hreflang="gl" data-title="Enerxía interna" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%82%B4%EB%B6%80_%EC%97%90%EB%84%88%EC%A7%80" title="내부 에너지 – koreanska" lang="ko" hreflang="ko" data-title="내부 에너지" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%86%D5%A5%D6%80%D6%84%D5%AB%D5%B6_%D5%A7%D5%B6%D5%A5%D6%80%D5%A3%D5%AB%D5%A1" title="Ներքին էներգիա – armeniska" lang="hy" hreflang="hy" data-title="Ներքին էներգիա" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%A8%E0%A5%8D%E0%A4%A4%E0%A4%B0%E0%A4%BF%E0%A4%95_%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE" title="आन्तरिक ऊर्जा – hindi" lang="hi" hreflang="hi" data-title="आन्तरिक ऊर्जा" 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/Unutarnja_energija" title="Unutarnja energija – kroatiska" lang="hr" hreflang="hr" data-title="Unutarnja energija" data-language-autonym="Hrvatski" data-language-local-name="kroatiska" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Energi_dalam" title="Energi dalam – indonesiska" lang="id" hreflang="id" data-title="Energi dalam" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" 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/Energia_interna" title="Energia interna – italienska" lang="it" hreflang="it" data-title="Energia interna" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A0%D7%A8%D7%92%D7%99%D7%94_%D7%A4%D7%A0%D7%99%D7%9E%D7%99%D7%AA" title="אנרגיה פנימית – hebreiska" lang="he" hreflang="he" data-title="אנרגיה פנימית" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%86%D1%88%D0%BA%D1%96_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Ішкі энергия – kazakiska" lang="kk" hreflang="kk" data-title="Ішкі энергия" data-language-autonym="Қазақша" data-language-local-name="kazakiska" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/En%C3%A8ji_t%C3%A8mik" title="Enèji tèmik – haitiska" lang="ht" hreflang="ht" data-title="Enèji tèmik" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiska" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%98%D1%87%D0%BA%D0%B8_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Ички энергия – kirgiziska" lang="ky" hreflang="ky" data-title="Ички энергия" data-language-autonym="Кыргызча" data-language-local-name="kirgiziska" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Iek%C5%A1%C4%93j%C4%81_ener%C4%A3ija" title="Iekšējā enerģija – lettiska" lang="lv" hreflang="lv" data-title="Iekšējā enerģija" data-language-autonym="Latviešu" data-language-local-name="lettiska" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Vidin%C4%97_energija" title="Vidinė energija – litauiska" lang="lt" hreflang="lt" data-title="Vidinė energija" data-language-autonym="Lietuvių" data-language-local-name="litauiska" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Bels%C5%91_energia" title="Belső energia – ungerska" lang="hu" hreflang="hu" data-title="Belső energia" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%92%D0%BD%D0%B0%D1%82%D1%80%D0%B5%D1%88%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0" title="Внатрешна енергија – makedonska" lang="mk" hreflang="mk" data-title="Внатрешна енергија" data-language-autonym="Македонски" data-language-local-name="makedonska" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B4%A8%E0%B5%8D%E0%B4%A4%E0%B4%B0%E0%B4%BF%E0%B4%95_%E0%B4%8A%E0%B5%BC%E0%B4%9C%E0%B5%8D%E0%B4%9C%E0%B4%82" title="ആന്തരിക ഊർജ്ജം – malayalam" lang="ml" hreflang="ml" data-title="ആന്തരിക ഊർജ്ജം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" 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/Tenaga_dalaman" title="Tenaga dalaman – malajiska" lang="ms" hreflang="ms" data-title="Tenaga dalaman" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiska" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%94%D0%BE%D1%82%D0%BE%D0%BE%D0%B4_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="Дотоод энерги – mongoliska" lang="mn" hreflang="mn" data-title="Дотоод энерги" data-language-autonym="Монгол" data-language-local-name="mongoliska" 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/Inwendige_energie" title="Inwendige energie – nederländska" lang="nl" hreflang="nl" data-title="Inwendige energie" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%86%85%E9%83%A8%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC" title="内部エネルギー – japanska" lang="ja" hreflang="ja" data-title="内部エネルギー" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Indre_energi" title="Indre energi – norskt bokmål" lang="nb" hreflang="nb" data-title="Indre energi" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Indre_energi" title="Indre energi – nynorska" lang="nn" hreflang="nn" data-title="Indre energi" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Energia_int%C3%A8rna" title="Energia intèrna – occitanska" lang="oc" hreflang="oc" data-title="Energia intèrna" data-language-autonym="Occitan" data-language-local-name="occitanska" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ichki_energiya" title="Ichki energiya – uzbekiska" lang="uz" hreflang="uz" data-title="Ichki energiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekiska" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Energia_wewn%C4%99trzna" title="Energia wewnętrzna – polska" lang="pl" hreflang="pl" data-title="Energia wewnętrzna" data-language-autonym="Polski" data-language-local-name="polska" 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/Energia_interna" title="Energia interna – portugisiska" lang="pt" hreflang="pt" data-title="Energia interna" data-language-autonym="Português" data-language-local-name="portugisiska" 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/Energie_intern%C4%83" title="Energie internă – rumänska" lang="ro" hreflang="ro" data-title="Energie internă" data-language-autonym="Română" data-language-local-name="rumänska" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D0%BD%D1%83%D1%82%D1%80%D0%B5%D0%BD%D0%BD%D1%8F%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Внутренняя энергия – ryska" lang="ru" hreflang="ru" 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href="https://sk.wikipedia.org/wiki/Vn%C3%BAtorn%C3%A1_energia" title="Vnútorná energia – slovakiska" lang="sk" hreflang="sk" data-title="Vnútorná energia" data-language-autonym="Slovenčina" data-language-local-name="slovakiska" 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/Notranja_energija" title="Notranja energija – slovenska" lang="sl" hreflang="sl" data-title="Notranja energija" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%88%D8%B2%DB%95%DB%8C_%D9%86%D8%A7%D9%88%DB%95%DA%A9%DB%8C" title="وزەی ناوەکی – centralkurdiska" lang="ckb" hreflang="ckb" data-title="وزەی ناوەکی" data-language-autonym="کوردی" data-language-local-name="centralkurdiska" 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caption{font-size:larger}.mw-parser-output .infobox.bordered{border-collapse:collapse}.mw-parser-output .infobox.bordered td,.mw-parser-output .infobox.bordered th{border:1px solid #aaa}.mw-parser-output .infobox.bordered .borderless td,.mw-parser-output .infobox.bordered .borderless th{border:0}.mw-parser-output .infobox-showbutton button,.mw-parser-output .infobox-showbutton .mw-collapsible-text{color:inherit}.mw-parser-output .infobox.bordered .mergedtoprow td,.mw-parser-output .infobox.bordered .mergedtoprow th{border:0;border-top:1px solid #aaa;border-right:1px solid #aaa}.mw-parser-output .infobox.bordered .mergedrow td,.mw-parser-output .infobox.bordered .mergedrow th{border:0;border-right:1px solid #aaa}.mw-parser-output .infobox.geography{border:1px solid #ccd2d9;text-align:left;border-collapse:collapse;line-height:1.2em;font-size:90%}.mw-parser-output .infobox.geography td,.mw-parser-output .infobox.geography th{border-top:solid 1px #ccd2d9;padding:0.4em 0.6em 0.4em 0.6em}.mw-parser-output .infobox.geography .mergedtoprow td,.mw-parser-output .infobox.geography .mergedtoprow th{border-top:solid 1px #ccd2d9;padding:0.4em 0.6em 0.2em 0.6em}.mw-parser-output .infobox.geography .mergedrow td,.mw-parser-output .infobox.geography .mergedrow th{border:0;padding:0 0.6em 0.2em 0.6em}.mw-parser-output .infobox.geography .mergedbottomrow td,.mw-parser-output .infobox.geography .mergedbottomrow th{border-top:0;border-bottom:solid 1px #ccd2d9;padding:0 0.6em 0.4em 0.6em}.mw-parser-output .infobox.geography .maptable td,.mw-parser-output .infobox.geography .maptable th{border:0;padding:0}</style><table class="infobox" style="border-spacing:3px;"><tbody><tr><td colspan="2" class="" style="padding:2px; text-align:center; font-size: 125%; font-weight: bold; background:#ABCDEF;">Inre energi</td></tr><tr><th colspan="2" style="text-align:center;background:#ABCDEF;">Grundläggande</th></tr><tr><th style="text-align:left;">Alternativnamn</th><td class="" style="">Intern energi</td></tr><tr><th style="text-align:left;"><a href="/wiki/Definition" title="Definition">Definition</a></th><td class="" style="">Summan av den <a href="/wiki/Kinetisk_energi" title="Kinetisk energi">kinetiska</a> och den <a href="/wiki/Potentiell_energi" title="Potentiell energi">potentiella</a> <a href="/wiki/Energi" title="Energi">energin</a> hos <a href="/wiki/Atom" title="Atom">atomerna</a> i ett <a href="/wiki/Termodynamiskt_system" title="Termodynamiskt system">termodynamiskt system</a> eller ett tydligt avgränsat <a href="/wiki/Kropp_(fysik)" title="Kropp (fysik)">fysiskt föremål</a></td></tr><tr><th style="text-align:left;"><a href="/wiki/Storhet" title="Storhet">Storhetssymbol(er)</a></th><td class="" style=""><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.783ex; height:2.176ex;" alt="{\displaystyle U}"></span></td></tr><tr><th style="text-align:left;">Härledningar från andra storheter</th><td class="" style=""><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U=\sum _{i}E_{i}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U=\sum _{i}E_{i}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e79bb5962c72b35d7232822f7deb5bf24491da5e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; margin-right: -0.387ex; width:11.138ex; height:5.509ex;" alt="{\displaystyle U=\sum _{i}E_{i}\!}"></span></td></tr><tr><th colspan="2" style="text-align:center;background:#ABCDEF;">Enheter</th></tr><tr><th style="text-align:left;"><a href="/wiki/SI-enhet" title="SI-enhet">SI-enhet</a></th><td class="" style=""><a href="/wiki/Joule" title="Joule">J</a></td></tr></tbody></table> <p>Inom <a href="/wiki/Termodynamik" title="Termodynamik">termodynamiken</a> är <b>inre energin</b> (eller den <b>interna energin</b>) av ett <a href="/wiki/Termodynamiskt_system" title="Termodynamiskt system">termodynamiskt system</a>, eller ett tydligt avgränsat <a href="/wiki/Kropp_(fysik)" title="Kropp (fysik)">fysiskt föremål</a>, summan av den <a href="/wiki/Kinetisk_energi" title="Kinetisk energi">kinetiska</a> och den <a href="/wiki/Potentiell_energi" title="Potentiell energi">potentiella</a> <a href="/wiki/Energi" title="Energi">energin</a> hos <a href="/wiki/Atom" title="Atom">atomerna</a> i systemet eller föremålet. </p><p>Man kan även räkna ut inre energin för <a href="/wiki/Elektromagnetisk_str%C3%A5lning" title="Elektromagnetisk strålning">elektromagnetisk strålning</a> eller <a href="/wiki/Svartkroppsstr%C3%A5lning" class="mw-redirect" title="Svartkroppsstrålning">svartkroppsstrålning</a>. <a href="/wiki/SI-enhet" title="SI-enhet">SI-enheten</a> för <a href="/wiki/Energi" title="Energi">energin</a> är <a href="/wiki/Joule" title="Joule">joule</a> även om det av historiska skäl förekommer andra enheter, som till exempel <a href="/wiki/Kcal" class="mw-redirect" title="Kcal">kcal</a> för <a href="/wiki/V%C3%A4rme" title="Värme">värme</a>. Inre energi betecknas vanligen med bokstaven <i>U</i>, eller ibland med bokstaven <i>E</i>. Inre energi är en <a href="/wiki/Tillst%C3%A5ndsstorhet" title="Tillståndsstorhet">termodynamisk tillståndsfunktion</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Inre_energins_entropi-_och_volymberoende">Inre energins entropi- och volymberoende</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Inre_energi&amp;veaction=edit&amp;section=1" title="Redigera avsnitt: Inre energins entropi- och volymberoende" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Inre_energi&amp;action=edit&amp;section=1" title="Redigera avsnitts källkod: Inre energins entropi- och volymberoende"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De naturliga variablerna för den inre energin är systemets <a href="/wiki/Entropi" title="Entropi">entropi</a> och <a href="/wiki/Volym" title="Volym">volym</a>, dvs <i>U</i> = <i>U</i>(<i>S</i>,<i>V</i>). De <a href="/wiki/Partiell_derivata" title="Partiell derivata">partiella derivatorna</a> <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 (\partial U/\partial S)_{V}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>S</mi> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\partial U/\partial S)_{V}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10cae0c6b5824b74aded0e832da2890d0c6c51b5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.386ex; height:2.843ex;" alt="{\displaystyle (\partial U/\partial S)_{V}}"></span> och <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 (\partial U/\partial V)_{S}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>V</mi> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\partial U/\partial V)_{S}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3d0ed620d9c0a75c2db6959269f7ed4f58760c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.47ex; height:2.843ex;" alt="{\displaystyle (\partial U/\partial V)_{S}}"></span> definierar systemets <a href="/wiki/Temperatur" title="Temperatur">temperatur</a> och <a href="/wiki/Tryck" title="Tryck">tryck</a> genom fundamentalekvationen för <i>U</i>: </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 dU=\left({\frac {\partial U}{\partial S}}\right)_{V}\,dS+\left({\frac {\partial U}{\partial V}}\right)_{S}\,dV=T\,dS-p\,dV}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>U</mi> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>S</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>S</mi> <mo>+</mo> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>V</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>V</mi> <mo>=</mo> <mi>T</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>S</mi> <mo>&#x2212;<!-- − --></mo> <mi>p</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dU=\left({\frac {\partial U}{\partial S}}\right)_{V}\,dS+\left({\frac {\partial U}{\partial V}}\right)_{S}\,dV=T\,dS-p\,dV}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0235becce073b98777e526b12c4bc8f889df8f36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:48.176ex; height:6.176ex;" alt="{\displaystyle dU=\left({\frac {\partial U}{\partial S}}\right)_{V}\,dS+\left({\frac {\partial U}{\partial V}}\right)_{S}\,dV=T\,dS-p\,dV}"></span></dd></dl> <p>Denna relation används, tillsammans med termodynamikens <a href="/wiki/Termodynamikens_f%C3%B6rsta_huvudsats" class="mw-redirect" title="Termodynamikens första huvudsats">första</a> och <a href="/wiki/Termodynamikens_andra_huvudsats" title="Termodynamikens andra huvudsats">andra</a> huvudsatser, för att bygga upp hela den klassiska <a href="/wiki/Termodynamik" title="Termodynamik">termodynamiken</a>. </p><p>Om <a href="/wiki/Substansm%C3%A4ngden" class="mw-redirect" title="Substansmängden">substansmängden</a> av ämnena i systemet förändras tillkommer en term som innehåller deras <a href="/wiki/Kemisk_potential" title="Kemisk potential">kemiska potentialer</a>: </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 dU=T\,dS-p\,dV+\sum _{j}\mu _{j}\,dn_{j}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>U</mi> <mo>=</mo> <mi>T</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>S</mi> <mo>&#x2212;<!-- − --></mo> <mi>p</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>V</mi> <mo>+</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </munder> <msub> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dU=T\,dS-p\,dV+\sum _{j}\mu _{j}\,dn_{j}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f7ef03df36260d0904c83534ded38af659c5499" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:31.037ex; height:5.843ex;" alt="{\displaystyle dU=T\,dS-p\,dV+\sum _{j}\mu _{j}\,dn_{j}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Inre_energins_temperatur-_och_volymberoende">Inre energins temperatur- och volymberoende</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Inre_energi&amp;veaction=edit&amp;section=2" title="Redigera avsnitt: Inre energins temperatur- och volymberoende" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Inre_energi&amp;action=edit&amp;section=2" title="Redigera avsnitts källkod: Inre energins temperatur- och volymberoende"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Vid praktiskt arbete är fundamentalekvationen ovan inte särskilt användbar. Det är mycket mer praktiskt intressant att veta hur inre energin beror av de mätbara storheterna <a href="/wiki/Temperatur" title="Temperatur">temperatur</a> och <a href="/wiki/Volym" title="Volym">volym</a>, alltså <i>U</i> = <i>U</i>(<i>T</i>,<i>V</i>). Man definierar därför systemets <a href="/wiki/V%C3%A4rmekapacitet" title="Värmekapacitet">värmekapacitet</a> vid konstant volym (enhet J/K) som <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{V}=(\partial U/\partial T)_{V}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mo>=</mo> <mo stretchy="false">(</mo> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>T</mi> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{V}=(\partial U/\partial T)_{V}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c639bc636c74329edb8355c8a7ca528ed6610fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.779ex; height:2.843ex;" alt="{\displaystyle C_{V}=(\partial U/\partial T)_{V}}"></span> och får </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 dU=\left({\frac {\partial U}{\partial T}}\right)_{V}\,dT+\left({\frac {\partial U}{\partial V}}\right)_{T}\,dV=C_{V}\,dT+\pi _{T}\,dV}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>U</mi> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>T</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>T</mi> <mo>+</mo> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>V</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>V</mi> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>T</mi> <mo>+</mo> <msub> <mi>&#x03C0;<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dU=\left({\frac {\partial U}{\partial T}}\right)_{V}\,dT+\left({\frac {\partial U}{\partial V}}\right)_{T}\,dV=C_{V}\,dT+\pi _{T}\,dV}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9a7a2c0ca2ee4efb9ac8552c8d25dc1ea201de8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:51.613ex; height:6.176ex;" alt="{\displaystyle dU=\left({\frac {\partial U}{\partial T}}\right)_{V}\,dT+\left({\frac {\partial U}{\partial V}}\right)_{T}\,dV=C_{V}\,dT+\pi _{T}\,dV}"></span></dd></dl> <p>där <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 \pi _{T}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03C0;<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi _{T}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c9731ca6ae5b56cdc9fad9f7094d11a26431d97" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.714ex; height:2.009ex;" alt="{\displaystyle \pi _{T}}"></span> är det <a href="/w/index.php?title=Inre_trycket&amp;action=edit&amp;redlink=1" class="new" title="Inre trycket [inte skriven än]">inre trycket</a> (enhet 1 J/m<sup>3</sup> = 1 Pascal). Det inre trycket är ett mått på hur mycket motstånd molekylerna gör mot att dras ifrån varandra och är relaterat till styrkan hos <a href="/wiki/Intermolekyl%C3%A4r_bindning" title="Intermolekylär bindning">växelverkan</a> mellan molekylerna. För en <a href="/wiki/Ideal_gas" title="Ideal gas">ideal gas</a>, där ingen intermolekylär växelverkan finns är <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 \pi _{T}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03C0;<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi _{T}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/805c14046fd14a42dd25ac7aaf4112db6d80b56f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.975ex; height:2.509ex;" alt="{\displaystyle \pi _{T}=0}"></span>. Differentialen ovan ger därför att <i>U</i> för en ideal gas är oberoende av systemets volym. </p><p>Relationen <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 dU=C_{V}\,dT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>U</mi> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dU=C_{V}\,dT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2cd53ce58fc85c66bc0fca9c1187f4d02b902594" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.494ex; height:2.509ex;" alt="{\displaystyle dU=C_{V}\,dT}"></span> vid konstant volym är mycket central i tillämpningar som har med värmeöverföring att göra därför att det är den mängd värme som systemet tar upp vid konstant volym. Motsvarande relation vid konstant tryck är <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 dH=C_{p}\,dT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>H</mi> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dH=C_{p}\,dT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24d2e48dcb42c82e0a95fa7ec3fc430413ef240b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:12.338ex; height:2.843ex;" alt="{\displaystyle dH=C_{p}\,dT}"></span>, där <i>H</i> är systemets <a href="/wiki/Entalpi" title="Entalpi">entalpi</a> och <i>C<sub>p</sub></i> dess värmekapacitet vid konstant tryck. Det är oftast denna värmekapacitet som återfinns i tabellsamlingar för olika material. </p> <div class="mw-heading mw-heading2"><h2 id="Se_även"><span id="Se_.C3.A4ven"></span>Se även</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Inre_energi&amp;veaction=edit&amp;section=3" title="Redigera avsnitt: Se även" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Inre_energi&amp;action=edit&amp;section=3" title="Redigera avsnitts källkod: Se även"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Entalpi" title="Entalpi">Entalpi</a></li> <li><a href="/wiki/Helmholtz_fria_energi" title="Helmholtz fria energi">Helmholtz fria energi</a></li> <li><a href="/wiki/Gibbs_fria_energi" title="Gibbs fria energi">Gibbs fria energi</a></li> <li><a href="/wiki/Entropi" title="Entropi">Entropi</a></li></ul> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐7c479b968‐slwbk Cached time: 20241118083413 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.071 seconds Real time usage: 0.137 seconds Preprocessor visited node count: 2385/1000000 Post‐expand include size: 5186/2097152 bytes Template argument size: 2451/2097152 bytes Highest expansion depth: 8/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2473/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 55.922 1 -total 100.00% 55.922 1 Mall:Fysikalisk_storhet 93.39% 52.224 1 Mall:Faktamall --> <!-- Saved in parser cache with key svwiki:pcache:idhash:439651-0!canonical and timestamp 20241118083413 and revision id 46279582. 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