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[o]" accesskey="o" class=""><span>Meld aan</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Meer opsies" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Persoonlike gereedskap" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Persoonlike gereedskap</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_af.wikipedia.org&uselang=af"><span>Skenkings</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Spesiaal:SkepRekening&returnto=Entropie" title="U word aangemoedig om 'n gebruiker te skep en aan te meld, hoewel dit nie verpligtend is nie."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skep gebruiker</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Spesiaal:Teken_in&returnto=Entropie" title="U word aangemoedig om aan te meld. 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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Meld aan</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Bladsye vir uitgemelde redakteurs <a href="/wiki/Hulp:Inleiding" aria-label="Leer meer oor redigering"><span>leer meer</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Spesiaal:Mybydrae" title="A list of edits made from this IP address [y]" accesskey="y"><span>Bydraes</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Spesiaal:Mybespreking" title="Bespreking oor bydraes van hierdie IP-adres [n]" accesskey="n"><span>Bespreking</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div 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class="vector-toc-list"> <li id="toc-Omkeerbaarheid" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Omkeerbaarheid"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Omkeerbaarheid</span> </div> </a> <ul id="toc-Omkeerbaarheid-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Kyk_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kyk_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Kyk ook</span> </div> </a> <ul id="toc-Kyk_ook-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="Inhoud" 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="Wissel die inhoudsopgawe" > <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">Wissel die inhoudsopgawe</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">Entropie</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="Gaan na 'n artikel in 'n ander taal. Beskikbaar in 90 tale" > <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-90" 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">90 tale</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%A0%E1%8A%95%E1%89%B5%E1%88%A8%E1%89%A2" title="አንትረቢ – Amharies" lang="am" hreflang="am" data-title="አንትረቢ" data-language-autonym="አማርኛ" data-language-local-name="Amharies" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A5%D9%86%D8%AA%D8%B1%D9%88%D8%A8%D9%8A%D8%A7" title="إنتروبيا – Arabies" lang="ar" hreflang="ar" data-title="إنتروبيا" data-language-autonym="العربية" data-language-local-name="Arabies" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%84%D9%88%D9%86%D8%B7%D8%B1%D9%88%D9%BE%D9%8A" title="لونطروپي – Moroccan Arabic" lang="ary" hreflang="ary" data-title="لونطروپي" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Entrop%C3%ADa" title="Entropía – Asturies" lang="ast" hreflang="ast" data-title="Entropía" data-language-autonym="Asturianu" data-language-local-name="Asturies" 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/Entropiya" title="Entropiya – Azerbeidjans" lang="az" hreflang="az" data-title="Entropiya" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidjans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Entropie_(Thermodynamik)" title="Entropie (Thermodynamik) – Bavarian" lang="bar" hreflang="bar" data-title="Entropie (Thermodynamik)" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Entropiya" title="Entropiya – Central Bikol" lang="bcl" hreflang="bcl" data-title="Entropiya" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BD%D1%82%D1%80%D0%B0%D0%BF%D1%96%D1%8F" title="Энтрапія – Belarussies" lang="be" hreflang="be" data-title="Энтрапія" data-language-autonym="Беларуская" data-language-local-name="Belarussies" 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%AD%D0%BD%D1%82%D1%80%D0%B0%D0%BF%D1%96%D1%8F" title="Энтрапія – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Энтрапія" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Ентропия – Bulgaars" lang="bg" hreflang="bg" data-title="Ентропия" data-language-autonym="Български" data-language-local-name="Bulgaars" 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%BF%E0%A6%B6%E0%A7%83%E0%A6%99%E0%A7%8D%E0%A6%96%E0%A6%B2%E0%A6%BE-%E0%A6%AE%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BE" title="বিশৃঙ্খলা-মাত্রা – Bengaals" lang="bn" hreflang="bn" data-title="বিশৃঙ্খলা-মাত্রা" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Entropiezh" title="Entropiezh – Bretons" lang="br" hreflang="br" data-title="Entropiezh" data-language-autonym="Brezhoneg" data-language-local-name="Bretons" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Entropija" title="Entropija – Bosnies" lang="bs" hreflang="bs" data-title="Entropija" data-language-autonym="Bosanski" data-language-local-name="Bosnies" 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/Entropia" title="Entropia – Katalaans" lang="ca" hreflang="ca" data-title="Entropia" data-language-autonym="Català" data-language-local-name="Katalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A6%DB%8E%D9%86%D8%AA%D8%B1%DB%86%D9%BE%DB%8C" title="ئێنترۆپی – Sorani" lang="ckb" hreflang="ckb" data-title="ئێنترۆپی" data-language-autonym="کوردی" data-language-local-name="Sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Entropie" title="Entropie – Tsjeggies" lang="cs" hreflang="cs" data-title="Entropie" data-language-autonym="Čeština" data-language-local-name="Tsjeggies" 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%AD%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8" title="Энтропи – Chuvash" lang="cv" hreflang="cv" data-title="Энтропи" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Entropi" title="Entropi – Deens" lang="da" hreflang="da" data-title="Entropi" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Entropie" title="Entropie – Duits" lang="de" hreflang="de" data-title="Entropie" data-language-autonym="Deutsch" data-language-local-name="Duits" 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%95%CE%BD%CF%84%CF%81%CE%BF%CF%80%CE%AF%CE%B1" title="Εντροπία – Grieks" lang="el" hreflang="el" data-title="Εντροπία" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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/Entropy" title="Entropy – Engels" lang="en" hreflang="en" data-title="Entropy" data-language-autonym="English" data-language-local-name="Engels" 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/Entropio" title="Entropio – Esperanto" lang="eo" hreflang="eo" data-title="Entropio" 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/Entrop%C3%ADa" title="Entropía – Spaans" lang="es" hreflang="es" data-title="Entropía" data-language-autonym="Español" data-language-local-name="Spaans" 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/Entroopia" title="Entroopia – Estnies" lang="et" hreflang="et" data-title="Entroopia" data-language-autonym="Eesti" data-language-local-name="Estnies" 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/Entropia" title="Entropia – Baskies" lang="eu" hreflang="eu" data-title="Entropia" data-language-autonym="Euskara" data-language-local-name="Baskies" 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%A2%D9%86%D8%AA%D8%B1%D9%88%D9%BE%DB%8C" title="آنتروپی – Persies" lang="fa" hreflang="fa" data-title="آنتروپی" data-language-autonym="فارسی" data-language-local-name="Persies" 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/Entropia" title="Entropia – Fins" lang="fi" hreflang="fi" data-title="Entropia" data-language-autonym="Suomi" data-language-local-name="Fins" 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/Entropie_(thermodynamique)" title="Entropie (thermodynamique) – Frans" lang="fr" hreflang="fr" data-title="Entropie (thermodynamique)" data-language-autonym="Français" data-language-local-name="Frans" 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/Eantr%C3%B3pacht" title="Eantrópacht – Iers" lang="ga" hreflang="ga" data-title="Eantrópacht" data-language-autonym="Gaeilge" data-language-local-name="Iers" 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/Entrop%C3%ADa" title="Entropía – Galisies" lang="gl" hreflang="gl" data-title="Entropía" data-language-autonym="Galego" data-language-local-name="Galisies" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Entropy" title="Entropy – Gorontalo" lang="gor" hreflang="gor" data-title="Entropy" data-language-autonym="Bahasa Hulontalo" data-language-local-name="Gorontalo" class="interlanguage-link-target"><span>Bahasa Hulontalo</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Entroapaght" title="Entroapaght – Manx" lang="gv" hreflang="gv" data-title="Entroapaght" data-language-autonym="Gaelg" data-language-local-name="Manx" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A0%D7%98%D7%A8%D7%95%D7%A4%D7%99%D7%94" title="אנטרופיה – Hebreeus" lang="he" hreflang="he" data-title="אנטרופיה" data-language-autonym="עברית" data-language-local-name="Hebreeus" 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%8F%E0%A4%A8%E0%A5%8D%E0%A4%9F%E0%A5%8D%E0%A4%B0%E0%A5%89%E0%A4%AA%E0%A5%80" title="एन्ट्रॉपी – Hindi" lang="hi" hreflang="hi" data-title="एन्ट्रॉपी" 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/Entropija" title="Entropija – Kroaties" lang="hr" hreflang="hr" data-title="Entropija" data-language-autonym="Hrvatski" data-language-local-name="Kroaties" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Antwopi" title="Antwopi – Haïtiaans" lang="ht" hreflang="ht" data-title="Antwopi" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Entr%C3%B3pia" title="Entrópia – Hongaars" lang="hu" hreflang="hu" data-title="Entrópia" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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%B7%D5%B6%D5%BF%D6%80%D5%B8%D5%BA%D5%AB%D5%A1" title="Էնտրոպիա – Armeens" lang="hy" hreflang="hy" data-title="Էնտրոպիա" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Entropia" title="Entropia – Interlingua" lang="ia" hreflang="ia" data-title="Entropia" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Entropi" title="Entropi – Indonesies" lang="id" hreflang="id" data-title="Entropi" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesies" 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/Entropia" title="Entropia – Italiaans" lang="it" hreflang="it" data-title="Entropia" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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%82%A8%E3%83%B3%E3%83%88%E3%83%AD%E3%83%94%E3%83%BC" title="エントロピー – Japannees" lang="ja" hreflang="ja" data-title="エントロピー" data-language-autonym="日本語" data-language-local-name="Japannees" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%97%E1%83%94%E1%83%A0%E1%83%9B%E1%83%9D%E1%83%93%E1%83%98%E1%83%9C%E1%83%90%E1%83%9B%E1%83%98%E1%83%99%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%94%E1%83%9C%E1%83%A2%E1%83%A0%E1%83%9D%E1%83%9E%E1%83%98%E1%83%90" title="თერმოდინამიკური ენტროპია – Georgies" lang="ka" hreflang="ka" data-title="თერმოდინამიკური ენტროპია" data-language-autonym="ქართული" data-language-local-name="Georgies" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Энтропия – Kazaks" lang="kk" hreflang="kk" data-title="Энтропия" data-language-autonym="Қазақша" data-language-local-name="Kazaks" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%8E%E0%B2%82%E0%B2%9F%E0%B3%8D%E0%B2%B0%E0%B3%8B%E0%B2%AA%E0%B2%BF" title="ಎಂಟ್ರೋಪಿ – Kannada" lang="kn" hreflang="kn" data-title="ಎಂಟ್ರೋಪಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%97%94%ED%8A%B8%EB%A1%9C%ED%94%BC" title="엔트로피 – Koreaans" lang="ko" hreflang="ko" data-title="엔트로피" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Entrop%C3%AE" title="Entropî – Koerdies" lang="ku" hreflang="ku" data-title="Entropî" data-language-autonym="Kurdî" data-language-local-name="Koerdies" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%AD%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Энтропия – Kirgisies" lang="ky" hreflang="ky" data-title="Энтропия" data-language-autonym="Кыргызча" data-language-local-name="Kirgisies" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Entropia" title="Entropia – Latyn" lang="la" hreflang="la" data-title="Entropia" data-language-autonym="Latina" data-language-local-name="Latyn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Entrupia" title="Entrupia – Lombard" lang="lmo" hreflang="lmo" data-title="Entrupia" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Entropija" title="Entropija – Litaus" lang="lt" hreflang="lt" data-title="Entropija" data-language-autonym="Lietuvių" data-language-local-name="Litaus" 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/Entropija" title="Entropija – Letties" lang="lv" hreflang="lv" data-title="Entropija" data-language-autonym="Latviešu" data-language-local-name="Letties" 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%95%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%98%D0%B0" title="Ентропија – Masedonies" lang="mk" hreflang="mk" data-title="Ентропија" data-language-autonym="Македонски" data-language-local-name="Masedonies" 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%89%E0%B4%A4%E0%B5%8D%E0%B4%95%E0%B5%8D%E0%B4%B0%E0%B4%AE%E0%B4%82" title="ഉത്ക്രമം – Malabaars" lang="ml" hreflang="ml" data-title="ഉത്ക്രമം" data-language-autonym="മലയാളം" data-language-local-name="Malabaars" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%AD%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8" title="Энтропи – Mongools" lang="mn" hreflang="mn" data-title="Энтропи" data-language-autonym="Монгол" data-language-local-name="Mongools" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%84%E1%80%BA%E1%80%91%E1%80%9B%E1%80%AD%E1%80%AF%E1%80%95%E1%80%AE" title="အင်ထရိုပီ – Birmaans" lang="my" hreflang="my" data-title="အင်ထရိုပီ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Birmaans" 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/Entropie" title="Entropie – Nederlands" lang="nl" hreflang="nl" data-title="Entropie" data-language-autonym="Nederlands" data-language-local-name="Nederlands" 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/Entropi" title="Entropi – Nuwe Noors" lang="nn" hreflang="nn" data-title="Entropi" data-language-autonym="Norsk nynorsk" data-language-local-name="Nuwe Noors" 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/Entropi" title="Entropi – Boeknoors" lang="nb" hreflang="nb" data-title="Entropi" data-language-autonym="Norsk bokmål" data-language-local-name="Boeknoors" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Entropia_(termodinamica)" title="Entropia (termodinamica) – Oksitaans" lang="oc" hreflang="oc" data-title="Entropia (termodinamica)" data-language-autonym="Occitan" data-language-local-name="Oksitaans" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Intiroopii" title="Intiroopii – Oromo" lang="om" hreflang="om" data-title="Intiroopii" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%90%E0%A8%A8%E0%A8%9F%E0%A9%8D%E0%A8%B0%E0%A8%BE%E0%A8%AA%E0%A9%80" title="ਐਨਟ੍ਰਾਪੀ – Pandjabi" lang="pa" hreflang="pa" data-title="ਐਨਟ੍ਰਾਪੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Pandjabi" 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/Entropia" title="Entropia – Pools" lang="pl" hreflang="pl" data-title="Entropia" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%A7%DB%90%D9%86%D9%BC%D8%B1%D9%88%D9%BE%D9%8A" title="اېنټروپي – Pasjtoe" lang="ps" hreflang="ps" data-title="اېنټروپي" data-language-autonym="پښتو" data-language-local-name="Pasjtoe" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Entropia" title="Entropia – Portugees" lang="pt" hreflang="pt" data-title="Entropia" data-language-autonym="Português" data-language-local-name="Portugees" 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/Entropie" title="Entropie – Roemeens" lang="ro" hreflang="ro" data-title="Entropie" data-language-autonym="Română" data-language-local-name="Roemeens" 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%AD%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Энтропия – Russies" lang="ru" hreflang="ru" data-title="Энтропия" data-language-autonym="Русский" data-language-local-name="Russies" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sc mw-list-item"><a href="https://sc.wikipedia.org/wiki/Entropia" title="Entropia – Sardinies" lang="sc" hreflang="sc" data-title="Entropia" data-language-autonym="Sardu" data-language-local-name="Sardinies" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Intrup%C3%ACa" title="Intrupìa – Sisiliaans" lang="scn" hreflang="scn" data-title="Intrupìa" data-language-autonym="Sicilianu" data-language-local-name="Sisiliaans" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Entropija" title="Entropija – Serwo-Kroaties" lang="sh" hreflang="sh" data-title="Entropija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serwo-Kroaties" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Entropy" title="Entropy – Simple English" lang="en-simple" hreflang="en-simple" data-title="Entropy" 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/Entropia" title="Entropia – Slowaaks" lang="sk" hreflang="sk" data-title="Entropia" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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/Entropija_(klasi%C4%8Dna_termodinamika)" title="Entropija (klasična termodinamika) – Sloweens" lang="sl" hreflang="sl" data-title="Entropija (klasična termodinamika)" data-language-autonym="Slovenščina" data-language-local-name="Sloweens" 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/Entropia" title="Entropia – Albanees" lang="sq" hreflang="sq" data-title="Entropia" data-language-autonym="Shqip" data-language-local-name="Albanees" 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%95%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%98%D0%B0" title="Ентропија – Serwies" lang="sr" hreflang="sr" data-title="Ентропија" data-language-autonym="Српски / srpski" data-language-local-name="Serwies" 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/Entropi" title="Entropi – Sweeds" lang="sv" hreflang="sv" data-title="Entropi" data-language-autonym="Svenska" data-language-local-name="Sweeds" 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%9A%E0%AE%BF%E0%AE%A4%E0%AE%B1%E0%AE%AE%E0%AF%8D" title="சிதறம் – Tamil" lang="ta" hreflang="ta" data-title="சிதறம்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%8E%E0%B0%82%E0%B0%9F%E0%B1%8D%E0%B0%B0%E0%B1%8B%E0%B0%AA%E0%B0%BF" title="ఎంట్రోపి – Teloegoe" lang="te" hreflang="te" data-title="ఎంట్రోపి" data-language-autonym="తెలుగు" data-language-local-name="Teloegoe" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%AD%E0%B8%99%E0%B9%82%E0%B8%97%E0%B8%A3%E0%B8%9B%E0%B8%B5" title="เอนโทรปี – Thai" lang="th" hreflang="th" data-title="เอนโทรปี" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Entropi" title="Entropi – Turks" lang="tr" hreflang="tr" data-title="Entropi" data-language-autonym="Türkçe" data-language-local-name="Turks" 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%95%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D1%96%D1%8F" title="Ентропія – Oekraïens" lang="uk" hreflang="uk" data-title="Ентропія" data-language-autonym="Українська" data-language-local-name="Oekraïens" 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/%D8%A7%D9%86%D9%B9%D8%B1%D9%88%D9%BE%DB%8C" title="انٹروپی – Oerdoe" lang="ur" hreflang="ur" data-title="انٹروپی" data-language-autonym="اردو" data-language-local-name="Oerdoe" 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/Entropiya" title="Entropiya – Oezbeeks" lang="uz" hreflang="uz" data-title="Entropiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" 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/Entropy" title="Entropy – Viëtnamees" lang="vi" hreflang="vi" data-title="Entropy" data-language-autonym="Tiếng Việt" data-language-local-name="Viëtnamees" 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%86%B5" title="熵 – Wu-Sjinees" lang="wuu" hreflang="wuu" data-title="熵" data-language-autonym="吴语" data-language-local-name="Wu-Sjinees" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A2%D7%A0%D7%98%D7%A8%D7%90%D7%A4%D7%99%D7%A2" title="ענטראפיע – Jiddisj" lang="yi" hreflang="yi" data-title="ענטראפיע" data-language-autonym="ייִדיש" data-language-local-name="Jiddisj" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%86%B5" title="熵 – Chinees" lang="zh" hreflang="zh" data-title="熵" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E7%86%B5" title="熵 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="熵" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Entropy" title="Entropy – Min Nan-Sjinees" lang="nan" hreflang="nan" data-title="Entropy" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Min Nan-Sjinees" 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/%E7%86%B5" title="熵 – Kantonees" lang="yue" hreflang="yue" data-title="熵" data-language-autonym="粵語" data-language-local-name="Kantonees" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q45003#sitelinks-wikipedia" title="Wysig skakels tussen tale" class="wbc-editpage">Wysig skakels</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Naamruimtes"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Entropie" title="Bekyk die inhoudbladsy [c]" accesskey="c"><span>Bladsy</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Bespreking:Entropie" rel="discussion" title="Bespreking oor die inhoudbladsy [t]" accesskey="t"><span>Bespreking</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " 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<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">versteek</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Entropie"><span>Lees</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Entropie&veaction=edit" title="Redigeer hierdie bladsy [v]" accesskey="v"><span>Wysig</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Entropie&action=edit" title="Wysig die bladsy se bonkode [e]" accesskey="e"><span>Wysig bron</span></a></li><li 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die vrye ensiklopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="af" dir="ltr"><p>In eenvoudige terme meet <b>entropie</b> die hoeveelheid wanorde in 'n sisteem. </p><p>Entropie neig altyd om toe te neem: </p> <ul><li>'n Huis neig om te verval en moet in stand gehou word.</li> <li>Dinge by 'n hoë energietoestand neig om na 'n laer energietoestand te beweeg: <ul><li>Die son brand uit</li> <li>Erosie maak berge platter (verlies van potensiële energie)</li> <li>Gepompte bande neig om af te blaas</li> <li>Kookwater koel af</li> <li>Ys smelt</li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Clausius">Clausius</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Entropie&veaction=edit&section=1" title="Wysig afdeling: Clausius" class="mw-editsection-visualeditor"><span>wysig</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Entropie&action=edit&section=1" title="Edit section's source code: Clausius"><span>wysig bron</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Die konsep het sy oorsprong in teorie van die termodinamika. Die eerste wet van die termodinamika sê dat wanneer 'n sisteem warmte (q) en arbeid (w) uitwissel met sy omgewing (die res van die <a href="/wiki/Heelal" title="Heelal">heelal</a>) dat die som van warmte en arbeid, die interne <a href="/wiki/Energie" title="Energie">energie</a> U van die heelal nie verander nie. </p> <dl><dd><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 q+w=U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> <mo>+</mo> <mi>w</mi> <mo>=</mo> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q+w=U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d56b25001d62b11dcf7107404d3184b60b39685d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.455ex; height:2.509ex;" alt="{\displaystyle q+w=U}"></span></dd> <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 \Delta U_{heelal}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> <mi>e</mi> <mi>e</mi> <mi>l</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta U_{heelal}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9eb2d5a466eef5a9ce5fc44279e6010740daa393" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.346ex; height:2.509ex;" alt="{\displaystyle \Delta U_{heelal}=0}"></span> (Eerste hoofwet)</dd></dl></dd></dl> <p>Maar daar is 'n balangrike verskil tussen w en q aan die een kant en U aan die ander kant. U is 'n <i>toestandsfunksie</i> wat nie van die pad van die proses afhang, maar net van die begin- en eindpunt. Dit is nie waar vir q en w nie. Warmte en arbeid is <a href="/wiki/Padafhanklikheid" title="Padafhanklikheid">padafhanklik</a>. </p><p>Wanneer mens egter 'n pad definieer wat <i>omkeerbaar</i> ("reversible") is, kan 'n nuwe funksie gedefinieer word wat die <b>entropie S</b> genoem word en wat weer 'n toestandsfunksie is: </p><p>Vir 'n infinitesimale verandering: </p> <dl><dd><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 dS={\frac {\delta q_{omkeerbaar}}{T}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>δ</mi> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> <mi>m</mi> <mi>k</mi> <mi>e</mi> <mi>e</mi> <mi>r</mi> <mi>b</mi> <mi>a</mi> <mi>a</mi> <mi>r</mi> </mrow> </msub> </mrow> <mi>T</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dS={\frac {\delta q_{omkeerbaar}}{T}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f6a00b63d91153e8431e9af9173b88b5f4523465" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:17.524ex; height:5.343ex;" alt="{\displaystyle dS={\frac {\delta q_{omkeerbaar}}{T}}}"></span></dd></dl></dd></dl> <p>Vir 'n eindige verandering kan ons <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta S}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>S</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta S}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15a2efec755f08f95da4e8d1f7f2682861fb59be" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.435ex; height:2.176ex;" alt="{\displaystyle \Delta S}"></span> bepaal deur integrasie, byvoorbeeld vir 'n temperatuurverandering: </p> <dl><dd><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 \Delta S=\int \limits _{T_{1}}^{T_{2}}{\frac {\delta q_{omkeerbaar}}{T}}dT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>S</mi> <mo>=</mo> <munderover> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>δ</mi> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> <mi>m</mi> <mi>k</mi> <mi>e</mi> <mi>e</mi> <mi>r</mi> <mi>b</mi> <mi>a</mi> <mi>a</mi> <mi>r</mi> </mrow> </msub> </mrow> <mi>T</mi> </mfrac> </mrow> <mi>d</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta S=\int \limits _{T_{1}}^{T_{2}}{\frac {\delta q_{omkeerbaar}}{T}}dT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f5ffc42b339300b1e7a56e9333c38107f16ec3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.338ex; width:24.062ex; height:9.676ex;" alt="{\displaystyle \Delta S=\int \limits _{T_{1}}^{T_{2}}{\frac {\delta q_{omkeerbaar}}{T}}dT}"></span></dd></dl></dd></dl> <p>Bemerk gerus dat vir veranderings van toestandsfunksies soos U, S en T gewoonlik <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span> en <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> gebruik word, maar vir pasfunksies gewoonlik <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>δ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:2.343ex;" alt="{\displaystyle \delta }"></span> </p> <div class="mw-heading mw-heading3"><h3 id="Omkeerbaarheid">Omkeerbaarheid</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Entropie&veaction=edit&section=2" title="Wysig afdeling: Omkeerbaarheid" class="mw-editsection-visualeditor"><span>wysig</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Entropie&action=edit&section=2" title="Edit section's source code: Omkeerbaarheid"><span>wysig bron</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>'n Omkeerbare pad is 'n pad wat deur 'n reeks van toestande van <b>rus</b> gevoer word. Wat dit in praktyk eintlik beteken is dat die veranderings stadig genoeg deurgevoer word dat die sisteem in staat is hom vlekkeloos daarby aan te pas. Die reaksie van die sisteem is dus vinniger as die tydskaal van die aksie. </p><p>Dit moet benadruk word dat dit die tydskaal van die sisteem is wat dit bepaal en nie die menslike ervaring van 'vinnigheid' nie. As mens met die hand 'n silinder met gas indruk, kan dit vir die mens vinnig lyk, maar die gasmolekule beweeg baie vinniger as die mens se hand en die verandering is tog omkeerbaar. </p> <div class="mw-heading mw-heading2"><h2 id="Kyk_ook">Kyk ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Entropie&veaction=edit&section=3" title="Wysig afdeling: Kyk ook" class="mw-editsection-visualeditor"><span>wysig</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Entropie&action=edit&section=3" title="Edit section's source code: Kyk ook"><span>wysig bron</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Tweede_wet_van_termodinamika" title="Tweede wet van termodinamika">Tweede wet van termodinamika</a></li></ul> <div class="notice metadata plainlinks" id="saadjie"><span typeof="mw:File"><a href="/wiki/Wikipedia:Saadjie" title="Wikipedia:Saadjie"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/45px-Wiki_letter_w.svg.png" decoding="async" width="45" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/68px-Wiki_letter_w.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/90px-Wiki_letter_w.svg.png 2x" data-file-width="44" data-file-height="44" /></a></span> <i>Hierdie artikel is ’n <a href="/wiki/Wikipedia:Saadjie" title="Wikipedia:Saadjie">saadjie</a>. 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position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Ontsluit van "<a dir="ltr" href="https://af.wikipedia.org/w/index.php?title=Entropie&oldid=2106997">https://af.wikipedia.org/w/index.php?title=Entropie&oldid=2106997</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Spesiaal:Kategorie%C3%AB" title="Spesiaal:Kategorieë">Kategorie</a>: <ul><li><a href="/wiki/Kategorie:Termodinamika" title="Kategorie:Termodinamika">Termodinamika</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Versteekte kategorieë: <ul><li><a href="/wiki/Kategorie:Saadjies" title="Kategorie:Saadjies">Saadjies</a></li><li><a href="/wiki/Kategorie:Artikels_met_BNE-identifiseerders" title="Kategorie:Artikels met BNE-identifiseerders">Artikels met BNE-identifiseerders</a></li><li><a href="/wiki/Kategorie:Artikels_met_BNF-identifiseerders" title="Kategorie:Artikels met BNF-identifiseerders">Artikels met BNF-identifiseerders</a></li><li><a href="/wiki/Kategorie:Artikels_met_GND-identifiseerders" title="Kategorie:Artikels met GND-identifiseerders">Artikels met GND-identifiseerders</a></li><li><a href="/wiki/Kategorie:Artikels_met_LCCN-identifiseerders" title="Kategorie:Artikels met LCCN-identifiseerders">Artikels met LCCN-identifiseerders</a></li><li><a href="/wiki/Kategorie:Artikels_met_NDL-identifiseerders" title="Kategorie:Artikels met NDL-identifiseerders">Artikels met NDL-identifiseerders</a></li><li><a href="/wiki/Kategorie:Artikels_met_NKC-identifiseerders" title="Kategorie:Artikels met NKC-identifiseerders">Artikels met NKC-identifiseerders</a></li><li><a href="/wiki/Kategorie:Normdata_met_6_elemente" title="Kategorie:Normdata met 6 elemente">Normdata met 6 elemente</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"> Die bladsy is laas op 31 Desember 2019 om 15:24 bygewerk.</li> <li id="footer-info-copyright">Die teks is beskikbaar onder die lisensie <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Erkenning-Insgelyks Deel</a>. 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