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Molární objem – Wikipedie
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class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">přesunout do postranního panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrýt</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(úvod)</div> </a> </li> <li id="toc-Značení" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Značení"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Značení</span> </div> </a> <ul id="toc-Značení-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Výpočet" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Výpočet"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Výpočet</span> </div> </a> <ul id="toc-Výpočet-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vlastnosti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vlastnosti"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Vlastnosti</span> </div> </a> <ul id="toc-Vlastnosti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Odkazy" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Odkazy"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Odkazy</span> </div> </a> <button aria-controls="toc-Odkazy-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Přepnout podsekci Odkazy</span> </button> <ul id="toc-Odkazy-sublist" class="vector-toc-list"> <li id="toc-Reference" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Reference"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Reference</span> </div> </a> <ul id="toc-Reference-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Související_články" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Související_články"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Související články</span> </div> </a> <ul id="toc-Související_články-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Obsah" 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="Přepnout obsah" > <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">Přepnout obsah</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">Molární objem</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="Přejděte k článku v jiném jazyce. Je dostupný v 46 jazycích" > <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-46" 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">46 jazyků</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Mol%C3%AAre_volume" title="Molêre volume – afrikánština" lang="af" hreflang="af" data-title="Molêre volume" data-language-autonym="Afrikaans" data-language-local-name="afrikánština" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85_%D9%85%D9%88%D9%84%D9%8A" title="حجم مولي – arabština" lang="ar" hreflang="ar" data-title="حجم مولي" data-language-autonym="العربية" data-language-local-name="arabština" 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/Volume_molar" title="Volume molar – asturština" lang="ast" hreflang="ast" data-title="Volume molar" data-language-autonym="Asturianu" data-language-local-name="asturština" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D0%BB%D1%8F%D1%80%D0%BD%D1%8B_%D0%B0%D0%B1%E2%80%99%D1%91%D0%BC" title="Малярны аб’ём – běloruština" lang="be" hreflang="be" data-title="Малярны аб’ём" data-language-autonym="Беларуская" data-language-local-name="běloruština" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BB%D0%B0%D1%80%D0%B5%D0%BD_%D0%BE%D0%B1%D0%B5%D0%BC" title="Моларен обем – bulharština" lang="bg" hreflang="bg" data-title="Моларен обем" data-language-autonym="Български" data-language-local-name="bulharština" 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/Molarni_volumen" title="Molarni volumen – bosenština" lang="bs" hreflang="bs" data-title="Molarni volumen" data-language-autonym="Bosanski" data-language-local-name="bosenština" 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/Volum_at%C3%B2mic" title="Volum atòmic – katalánština" lang="ca" hreflang="ca" data-title="Volum atòmic" data-language-autonym="Català" data-language-local-name="katalánština" 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%9C%D0%BE%D0%BB%D1%8C_%D0%BA%D0%B0%D0%BB%C4%83%D0%BF%C4%83%D1%88%C4%95" title="Моль калăпăшĕ – čuvaština" lang="cv" hreflang="cv" data-title="Моль калăпăшĕ" data-language-autonym="Чӑвашла" data-language-local-name="čuvaština" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Molares_Volumen" title="Molares Volumen – němčina" lang="de" hreflang="de" data-title="Molares Volumen" data-language-autonym="Deutsch" data-language-local-name="němčina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Molar_volume" title="Molar volume – angličtina" lang="en" hreflang="en" data-title="Molar volume" data-language-autonym="English" data-language-local-name="angličtina" 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/Volumen_molar" title="Volumen molar – španělština" lang="es" hreflang="es" data-title="Volumen molar" data-language-autonym="Español" data-language-local-name="španělština" 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/Molaarruumala" title="Molaarruumala – estonština" lang="et" hreflang="et" data-title="Molaarruumala" data-language-autonym="Eesti" data-language-local-name="estonština" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85_%D9%85%D9%88%D9%84%DB%8C" title="حجم مولی – perština" lang="fa" hreflang="fa" data-title="حجم مولی" data-language-autonym="فارسی" data-language-local-name="perština" 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/Moolitilavuus" title="Moolitilavuus – finština" lang="fi" hreflang="fi" data-title="Moolitilavuus" data-language-autonym="Suomi" data-language-local-name="finština" 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/Volume_molaire" title="Volume molaire – francouzština" lang="fr" hreflang="fr" data-title="Volume molaire" data-language-autonym="Français" data-language-local-name="francouzština" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A5%8B%E0%A4%B2%E0%A4%B0_%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="मोलर आयतन – hindština" lang="hi" hreflang="hi" data-title="मोलर आयतन" data-language-autonym="हिन्दी" data-language-local-name="hindština" 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/Molni_volumen" title="Molni volumen – chorvatština" lang="hr" hreflang="hr" data-title="Molni volumen" data-language-autonym="Hrvatski" data-language-local-name="chorvatština" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%B8%D5%AC%D5%A1%D5%B5%D5%AB%D5%B6_%D5%AE%D5%A1%D5%BE%D5%A1%D5%AC" title="Մոլային ծավալ – arménština" lang="hy" hreflang="hy" data-title="Մոլային ծավալ" data-language-autonym="Հայերեն" data-language-local-name="arménština" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Volume_molar" title="Volume molar – indonéština" lang="id" hreflang="id" data-title="Volume molar" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonéština" 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/Volume_molare" title="Volume molare – italština" lang="it" hreflang="it" data-title="Volume molare" data-language-autonym="Italiano" data-language-local-name="italština" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%A2%E3%83%AB%E4%BD%93%E7%A9%8D" title="モル体積 – japonština" lang="ja" hreflang="ja" data-title="モル体積" data-language-autonym="日本語" data-language-local-name="japonština" 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%9B%E1%83%9D%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%9B%E1%83%9D%E1%83%AA%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%91%E1%83%90" title="მოლური მოცულობა – gruzínština" lang="ka" hreflang="ka" data-title="მოლური მოცულობა" data-language-autonym="ქართული" data-language-local-name="gruzínština" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%AA%B0%EB%B6%80%ED%94%BC" title="몰부피 – korejština" lang="ko" hreflang="ko" data-title="몰부피" data-language-autonym="한국어" data-language-local-name="korejština" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Molinis_t%C5%ABris" title="Molinis tūris – litevština" lang="lt" hreflang="lt" data-title="Molinis tūris" data-language-autonym="Lietuvių" data-language-local-name="litevština" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BB%D1%8F%D1%80%D0%BE%D0%BD%D1%8C_%D1%82%D1%8F%D0%BB%D1%8C%D0%B3%D0%BE%D0%BC%D0%B0%D1%81%D1%8C" title="Моляронь тяльгомась – mokšanština" lang="mdf" hreflang="mdf" data-title="Моляронь тяльгомась" data-language-autonym="Мокшень" data-language-local-name="mokšanština" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BB%D0%B0%D1%80%D0%BD%D0%B0_%D0%B7%D0%B0%D1%84%D0%B0%D1%82%D0%BD%D0%B8%D0%BD%D0%B0" title="Моларна зафатнина – makedonština" lang="mk" hreflang="mk" data-title="Моларна зафатнина" data-language-autonym="Македонски" data-language-local-name="makedonština" 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%AE%E0%B5%8B%E0%B4%B3%E0%B4%BE%E0%B5%BC_%E0%B4%B5%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%AA%E0%B5%8D%E0%B4%A4%E0%B4%82" title="മോളാർ വ്യാപ്തം – malajálamština" lang="ml" hreflang="ml" data-title="മോളാർ വ്യാപ്തം" data-language-autonym="മലയാളം" data-language-local-name="malajálamština" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Molair_volume" title="Molair volume – nizozemština" lang="nl" hreflang="nl" data-title="Molair volume" data-language-autonym="Nederlands" data-language-local-name="nizozemština" 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/Molart_volum" title="Molart volum – norština (nynorsk)" lang="nn" hreflang="nn" data-title="Molart volum" data-language-autonym="Norsk nynorsk" data-language-local-name="norština (nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Molart_volum" title="Molart volum – norština (bokmål)" lang="nb" hreflang="nb" data-title="Molart volum" data-language-autonym="Norsk bokmål" data-language-local-name="norština (bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Obj%C4%99to%C5%9B%C4%87_molowa" title="Objętość molowa – polština" lang="pl" hreflang="pl" data-title="Objętość molowa" data-language-autonym="Polski" data-language-local-name="polština" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Laj_d%27Avogadro" title="Laj d'Avogadro – piemonština" lang="pms" hreflang="pms" data-title="Laj d'Avogadro" data-language-autonym="Piemontèis" data-language-local-name="piemonština" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Volume_molar" title="Volume molar – portugalština" lang="pt" hreflang="pt" data-title="Volume molar" data-language-autonym="Português" data-language-local-name="portugalština" 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/Volum_molar" title="Volum molar – rumunština" lang="ro" hreflang="ro" data-title="Volum molar" data-language-autonym="Română" data-language-local-name="rumunština" 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%9C%D0%BE%D0%BB%D1%8F%D1%80%D0%BD%D1%8B%D0%B9_%D0%BE%D0%B1%D1%8A%D1%91%D0%BC" title="Молярный объём – ruština" lang="ru" hreflang="ru" data-title="Молярный объём" data-language-autonym="Русский" data-language-local-name="ruština" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Molarni_volumen" title="Molarni volumen – srbochorvatština" lang="sh" hreflang="sh" data-title="Molarni volumen" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbochorvatština" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Mol%C3%A1rny_objem" title="Molárny objem – slovenština" lang="sk" hreflang="sk" data-title="Molárny objem" data-language-autonym="Slovenčina" data-language-local-name="slovenština" 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/Molarna_prostornina" title="Molarna prostornina – slovinština" lang="sl" hreflang="sl" data-title="Molarna prostornina" data-language-autonym="Slovenščina" data-language-local-name="slovinština" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BB%D0%B0%D1%80%D0%BD%D0%B0_%D0%B7%D0%B0%D0%BF%D1%80%D0%B5%D0%BC%D0%B8%D0%BD%D0%B0" title="Моларна запремина – srbština" lang="sr" hreflang="sr" data-title="Моларна запремина" data-language-autonym="Српски / srpski" data-language-local-name="srbština" 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/Molvolym" title="Molvolym – švédština" lang="sv" hreflang="sv" data-title="Molvolym" data-language-autonym="Svenska" data-language-local-name="švédština" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Molar_hacim" title="Molar hacim – turečtina" lang="tr" hreflang="tr" data-title="Molar hacim" data-language-autonym="Türkçe" data-language-local-name="turečtina" 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%9C%D0%BE%D0%BB%D1%8F%D1%80%D0%BD%D0%B8%D0%B9_%D0%BE%D0%B1%27%D1%94%D0%BC" title="Молярний об'єм – ukrajinština" lang="uk" hreflang="uk" data-title="Молярний об'єм" data-language-autonym="Українська" data-language-local-name="ukrajinština" class="interlanguage-link-target"><span>Українська</span></a></li><li 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id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="cs" dir="ltr"><table class="infobox" style="width:22em;width: 250px;"><tbody><tr><th colspan="2" style="text-align:center;font-size:125%;font-weight:bold">Molární objem</th></tr><tr><th scope="row" style="text-align:left">Název <a href="/wiki/Fyzik%C3%A1ln%C3%AD_veli%C4%8Dina" title="Fyzikální veličina">veličiny</a><br />a její <a href="/wiki/Zna%C4%8Dka_fyzik%C3%A1ln%C3%AD_veli%C4%8Diny" class="mw-redirect" title="Značka fyzikální veličiny">značka</a></th><td>Molární objem<br /><span class="texhtml"><var>V<sub>m</sub></var></span></td></tr><tr><th scope="row" style="text-align:left"><a href="/wiki/Hlavn%C3%AD_jednotka_SI" class="mw-redirect" title="Hlavní jednotka SI">Hlavní jednotka SI</a><br />a její značka</th><td><a href="/wiki/Metr" title="Metr">metr</a> krychlový na <a href="/wiki/Mol_(jednotka)" title="Mol (jednotka)">mol</a><br />m<sup>3</sup>·mol<sup>−1</sup></td></tr><tr><th scope="row" style="text-align:left">Definiční vztah</th><td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {V}{n}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <mi>n</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {V}{n}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e070d2b155059cfa20eb6f5d720211dc0009de5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.752ex; height:5.176ex;" alt="{\displaystyle V_{m}={\frac {V}{n}}}"></span></td></tr><tr><th scope="row" style="text-align:left">Dle transformace složek</th><td><a href="/wiki/Skal%C3%A1rn%C3%AD_veli%C4%8Dina" class="mw-redirect" title="Skalární veličina">skalární</a></td></tr><tr><th scope="row" style="text-align:left">Zařazení jednotky v <a href="/wiki/Soustava_SI" title="Soustava SI">soustavě SI</a></th><td><a href="/wiki/Odvozen%C3%A1_jednotka_SI" title="Odvozená jednotka SI">odvozená</a></td></tr></tbody></table> <p><b>Molární objem</b> je <a href="/wiki/Fyzik%C3%A1ln%C3%AD_veli%C4%8Dina" title="Fyzikální veličina">fyzikální veličina</a>, která udává <a href="/wiki/Objem" title="Objem">objem</a> jednotkového <a href="/wiki/L%C3%A1tkov%C3%A9_mno%C5%BEstv%C3%AD" title="Látkové množství">látkového množství</a> <a href="/wiki/L%C3%A1tka" title="Látka">látky</a> (tzn. objem 1 <a href="/wiki/Mol_(jednotka)" title="Mol (jednotka)">mol</a>).<sup id="cite_ref-IUPAC_1-0" class="reference"><a href="#cite_note-IUPAC-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Značení"><span id="Zna.C4.8Den.C3.AD"></span>Značení</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=1" title="Editace sekce: Značení" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&action=edit&section=1" title="Editovat zdrojový kód sekce Značení"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Symbol <a href="/wiki/Fyzik%C3%A1ln%C3%AD_veli%C4%8Dina" title="Fyzikální veličina">veličiny</a>: <i>V<sub>m</sub></i></li> <li><a href="/wiki/Fyzik%C3%A1ln%C3%AD_jednotka" title="Fyzikální jednotka">Jednotka</a> <a href="/wiki/Soustava_SI" title="Soustava SI">SI</a>: <a href="/wiki/Metr" title="Metr">metr</a> krychlový na <a href="/wiki/Mol_(jednotka)" title="Mol (jednotka)">mol</a>, značka jednotky: m<sup>3</sup>·mol<sup>−1</sup></li> <li>Další jednotky: <a href="/wiki/Litr" title="Litr">litr</a> na mol (1 l·mol<sup>−1</sup> = 0,001 m<sup>3</sup>·mol<sup>−1</sup>), litr na kilomol (1 l·kmol<sup>−1</sup> = 0,000 001 m<sup>3</sup>·mol<sup>−1</sup>)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Výpočet"><span id="V.C3.BDpo.C4.8Det"></span>Výpočet</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=2" title="Editace sekce: Výpočet" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&action=edit&section=2" title="Editovat zdrojový kód sekce Výpočet"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Molární objem čisté látky lze vypočítat jako podíl objemu systému (<i>V</i>) a látkového množství (<i>n</i>), tento vztah lze upravit na podíl molární hmotnosti (<i>M</i>) a hustoty (<i>ρ</i>) látky. </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {V}{n}}={\frac {M}{\rho }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <mi>n</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>M</mi> <mi>ρ<!-- ρ --></mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {V}{n}}={\frac {M}{\rho }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/161d150c53dbf97707f1f9ba6b89772889d86ec6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:15.129ex; height:5.676ex;" alt="{\displaystyle V_{m}={\frac {V}{n}}={\frac {M}{\rho }}}"></span> </p><p>V případě směsi musíme vztah pro výpočet upravit následujícím způsobem:<sup id="cite_ref-IUPAC_1-1" class="reference"><a href="#cite_note-IUPAC-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V_{m}={\frac {V}{\displaystyle \sum _{i=1}^{N}n_{i}}}={\frac {\displaystyle \sum _{i=1}^{N}x_{i}M_{i}}{\rho _{\mathrm {smes} }}}={\frac {\overline {M}}{\rho _{\mathrm {smes} }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> <msub> <mi>ρ<!-- ρ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mover> <mi>M</mi> <mo accent="false">¯<!-- ¯ --></mo> </mover> <msub> <mi>ρ<!-- ρ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {V}{\displaystyle \sum _{i=1}^{N}n_{i}}}={\frac {\displaystyle \sum _{i=1}^{N}x_{i}M_{i}}{\rho _{\mathrm {smes} }}}={\frac {\overline {M}}{\rho _{\mathrm {smes} }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79ef3dfb9dd45ef14ce38512a68f63497f0abd05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -7.171ex; width:34.525ex; height:15.509ex;" alt="{\displaystyle V_{m}={\frac {V}{\displaystyle \sum _{i=1}^{N}n_{i}}}={\frac {\displaystyle \sum _{i=1}^{N}x_{i}M_{i}}{\rho _{\mathrm {smes} }}}={\frac {\overline {M}}{\rho _{\mathrm {smes} }}}}"></span> </p><p>kde <i>x</i> je <a href="/wiki/Koncentrace_(chemie)#Molární_zlomek" title="Koncentrace (chemie)">látkový zlomek</a> složky 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 {\overline {M}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo accent="false">¯<!-- ¯ --></mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\overline {M}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c0e2d2cef85c7247cc507120eb8980b6f2714591" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.68ex; height:3.009ex;" alt="{\displaystyle {\overline {M}}}"></span> je střední molární hmotnost. </p> <div class="mw-heading mw-heading2"><h2 id="Vlastnosti">Vlastnosti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=3" title="Editace sekce: Vlastnosti" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&action=edit&section=3" title="Editovat zdrojový kód sekce Vlastnosti"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Molární objem lze využít k výpočtu <a href="/wiki/Hustota_po%C4%8Dtu_%C4%8D%C3%A1stic" title="Hustota počtu částic">objemové hustoty částic</a> látky <i>N</i><sub>V</sub>: </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 N_{V}={\frac {N_{A}}{V_{m}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N_{V}={\frac {N_{A}}{V_{m}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8993bb02647159be82df5ed92a5bbea1ecb1c9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.628ex; height:5.843ex;" alt="{\displaystyle N_{V}={\frac {N_{A}}{V_{m}}}}"></span>,</dd></dl> <p>kde <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle N_{A}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N_{A}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fa9233ef6a6a2c0576dbf65490ddb8307fde494" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.331ex; height:2.509ex;" alt="{\displaystyle N_{A}}"></span> je <a href="/wiki/Avogadrova_konstanta" title="Avogadrova konstanta">Avogadrova konstanta</a>. </p><p>Molární objem <a href="/wiki/Ide%C3%A1ln%C3%AD_plyn" title="Ideální plyn">ideálního plynu</a> při <a href="/wiki/Teplota" title="Teplota">teplotě</a> 273,15 <a href="/wiki/Kelvin" title="Kelvin">K</a> (<a href="/wiki/Teplota_t%C3%A1n%C3%AD" title="Teplota tání">bod tání</a> <a href="/wiki/Voda" title="Voda">vody</a>) a <a href="/wiki/Tlak" title="Tlak">tlaku</a> 101325 <a href="/wiki/Pascal_(jednotka)" title="Pascal (jednotka)">Pa</a> je 22,414 <a href="/wiki/Litr" title="Litr">l</a>/mol = 22,414 dm<sup>3</sup>/mol = 22,414 m<sup>3</sup>/kmol = 0,022414 m<sup>3</sup>mol<sup>−1</sup>, </p><p>při stejné teplotě a <a href="/wiki/Tlak" title="Tlak">tlaku</a> 100000 <a href="/wiki/Pascal_(jednotka)" title="Pascal (jednotka)">Pa</a> je to 22,711 l/mol = 22,711 dm<sup>3</sup>/mol = 22,711 m<sup>3</sup>/kmol = 0,022711 m<sup>3</sup>mol<sup>−1</sup>.<sup id="cite_ref-IUPAC_1-2" class="reference"><a href="#cite_note-IUPAC-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Odkazy">Odkazy</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=4" title="Editace sekce: Odkazy" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&action=edit&section=4" title="Editovat zdrojový kód sekce Odkazy"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Reference">Reference</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=5" title="Editace sekce: Reference" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&action=edit&section=5" title="Editovat zdrojový kód sekce Reference"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-IUPAC-1"><span class="mw-cite-backlink">↑ <a href="#cite_ref-IUPAC_1-0"><sup style="font-style: italic; font-weight: bold; vertical-align: top">a</sup></a> <a href="#cite_ref-IUPAC_1-1"><sup style="font-style: italic; font-weight: bold; vertical-align: top">b</sup></a> <a href="#cite_ref-IUPAC_1-2"><sup style="font-style: italic; font-weight: bold; vertical-align: top">c</sup></a></span> <span class="reference-text"><cite class="book" style="font-style:normal;">International Union of Pure and Applied Chemistry. <i>Quantities, Units and Symbols in Physical Chemistry</i>. Second edition. vyd. Oxford: Blackwell Science Ltd., 1993. <a rel="nofollow" class="external text" href="https://archive.org/details/quantitiesunitss0000unse">Dostupné online</a>. <span style="white-space:nowrap"><a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Speci%C3%A1ln%C3%AD:Zdroje_knih/0-632-03583-8" title="Speciální:Zdroje knih/0-632-03583-8"><span class="ISBN">0-632-03583-8</span></a></span>. S. 41.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/cs.wikipedia.org:templatecitacemonografie&rft.btitle=Quantities%2C+Units+and+Symbols+in+Physical+Chemistry&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fquantitiesunitss0000unse&rft.isbn=0-632-03583-8&rft.au=International+Union+of+Pure+and+Applied+Chemistry&rft.place=Oxford&rft.pub=Blackwell+Science+Ltd.&rft.date=1993&rft.edition=Second+edition&rft.pages=41"><span style="display:none"> </span></span></span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="Související_články"><span id="Souvisej.C3.ADc.C3.AD_.C4.8Dl.C3.A1nky"></span>Související články</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mol%C3%A1rn%C3%AD_objem&veaction=edit&section=6" title="Editace sekce: Související články" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a 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