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Koncentrace (chemie) – 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-Hmotnostní_koncentrace" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Hmotnostní_koncentrace"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Hmotnostní koncentrace</span> </div> </a> <ul id="toc-Hmotnostní_koncentrace-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Objemová_koncentrace" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Objemová_koncentrace"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Objemová koncentrace</span> </div> </a> <ul id="toc-Objemová_koncentrace-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Molární_koncentrace_(molarita)" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Molární_koncentrace_(molarita)"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Molární koncentrace (molarita)</span> </div> </a> <ul id="toc-Molární_koncentrace_(molarita)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Molalita_(molální_koncentrace)" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Molalita_(molální_koncentrace)"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Molalita (molální koncentrace)</span> </div> </a> <ul id="toc-Molalita_(molální_koncentrace)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hmotnostní_zlomek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Hmotnostní_zlomek"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Hmotnostní zlomek</span> </div> </a> <ul id="toc-Hmotnostní_zlomek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Objemový_zlomek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Objemový_zlomek"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Objemový zlomek</span> </div> </a> <ul id="toc-Objemový_zlomek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Molární_zlomek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Molární_zlomek"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Molární zlomek</span> </div> </a> <ul id="toc-Molární_zlomek-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">8</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">8.1</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">8.2</span> <span>Související články</span> </div> </a> <ul id="toc-Související_články-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Externí_odkazy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Externí_odkazy"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3</span> <span>Externí odkazy</span> </div> </a> <ul id="toc-Externí_odkazy-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">Koncentrace (chemie)</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 67 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-67" 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">67 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/Konsentrasie_(chemie)" title="Konsentrasie (chemie) – afrikánština" lang="af" hreflang="af" data-title="Konsentrasie (chemie)" 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%AA%D8%B1%D9%83%D9%8A%D8%B2_(%D9%83%D9%8A%D9%85%D9%8A%D8%A7%D8%A1)" title="تركيز (كيمياء) – arabština" lang="ar" hreflang="ar" data-title="تركيز (كيمياء)" 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/Concentraci%C3%B3n" title="Concentración – asturština" lang="ast" hreflang="ast" data-title="Concentración" data-language-autonym="Asturianu" data-language-local-name="asturština" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Konsentrasyon" title="Konsentrasyon – Central Bikol" lang="bcl" hreflang="bcl" data-title="Konsentrasyon" 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-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D1%8F_%D0%BD%D0%B0_%D1%80%D0%B0%D0%B7%D1%82%D0%B2%D0%BE%D1%80" title="Концентрация на разтвор – bulharština" lang="bg" hreflang="bg" data-title="Концентрация на разтвор" data-language-autonym="Български" data-language-local-name="bulharština" 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%98%E0%A6%A8%E0%A6%AE%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BE" title="ঘনমাত্রা – bengálština" lang="bn" hreflang="bn" data-title="ঘনমাত্রা" data-language-autonym="বাংলা" data-language-local-name="bengálština" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Concentraci%C3%B3" title="Concentració – katalánština" lang="ca" hreflang="ca" data-title="Concentració" data-language-autonym="Català" data-language-local-name="katalánština" 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%AE%DB%95%D8%B3%D8%AA%DB%8C" title="خەستی – kurdština (sorání)" lang="ckb" hreflang="ckb" data-title="خەستی" data-language-autonym="کوردی" data-language-local-name="kurdština (sorání)" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A5%D1%83%D1%82%C4%83%D1%88%D1%81%D0%B5%D0%BD_%D0%BA%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D0%B9%C4%95" title="Хутăшсен концентрацийĕ – čuvaština" lang="cv" hreflang="cv" data-title="Хутăшсен концентрацийĕ" 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/Konzentration_(Chemie)" title="Konzentration (Chemie) – němčina" lang="de" hreflang="de" data-title="Konzentration (Chemie)" data-language-autonym="Deutsch" data-language-local-name="němčina" 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%BA%CF%86%CF%81%CE%AC%CF%83%CE%B5%CE%B9%CF%82_%CF%80%CE%B5%CF%81%CE%B9%CE%B5%CE%BA%CF%84%CE%B9%CE%BA%CF%8C%CF%84%CE%B7%CF%84%CE%B1%CF%82_%CE%BA%CE%B1%CE%B9_%CF%83%CF%85%CE%B3%CE%BA%CE%AD%CE%BD%CF%84%CF%81%CF%89%CF%83%CE%B7%CF%82_%CE%B4%CE%B9%CE%B1%CE%BB%CF%85%CE%BC%CE%AC%CF%84%CF%89%CE%BD" title="Εκφράσεις περιεκτικότητας και συγκέντρωσης διαλυμάτων – řečtina" lang="el" hreflang="el" data-title="Εκφράσεις περιεκτικότητας και συγκέντρωσης διαλυμάτων" data-language-autonym="Ελληνικά" data-language-local-name="řečtina" 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/Concentration" title="Concentration – angličtina" lang="en" hreflang="en" data-title="Concentration" data-language-autonym="English" data-language-local-name="angličtina" 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/Koncentriteco" title="Koncentriteco – esperanto" lang="eo" hreflang="eo" data-title="Koncentriteco" 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/Concentraci%C3%B3n" title="Concentración – španělština" lang="es" hreflang="es" data-title="Concentración" 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/Kontsentratsioon" title="Kontsentratsioon – estonština" lang="et" hreflang="et" data-title="Kontsentratsioon" data-language-autonym="Eesti" data-language-local-name="estonština" 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/Kontzentrazio_(kimika)" title="Kontzentrazio (kimika) – baskičtina" lang="eu" hreflang="eu" data-title="Kontzentrazio (kimika)" data-language-autonym="Euskara" data-language-local-name="baskičtina" 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%BA%D9%84%D8%B8%D8%AA" title="غلظت – perština" lang="fa" hreflang="fa" data-title="غلظت" 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/Konsentraatio" title="Konsentraatio – finština" lang="fi" hreflang="fi" data-title="Konsentraatio" 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/Concentration_(op%C3%A9ration_chimique)" title="Concentration (opération chimique) – francouzština" lang="fr" hreflang="fr" data-title="Concentration (opération chimique)" data-language-autonym="Français" data-language-local-name="francouzština" 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/Ti%C3%BAchan_(ceimic)" title="Tiúchan (ceimic) – irština" lang="ga" hreflang="ga" data-title="Tiúchan (ceimic)" data-language-autonym="Gaeilge" data-language-local-name="irština" 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/Concentraci%C3%B3n_(qu%C3%ADmica)" title="Concentración (química) – galicijština" lang="gl" hreflang="gl" data-title="Concentración (química)" data-language-autonym="Galego" data-language-local-name="galicijština" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B8%E0%AA%BE%E0%AA%82%E0%AA%A6%E0%AB%8D%E0%AA%B0%E0%AA%A4%E0%AA%BE" title="સાંદ્રતા – gudžarátština" lang="gu" hreflang="gu" data-title="સાંદ્રતા" data-language-autonym="ગુજરાતી" data-language-local-name="gudžarátština" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A8%D7%99%D7%9B%D7%95%D7%96_(%D7%9B%D7%99%D7%9E%D7%99%D7%94)" title="ריכוז (כימיה) – hebrejština" lang="he" hreflang="he" data-title="ריכוז (כימיה)" data-language-autonym="עברית" data-language-local-name="hebrejština" 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%B8%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BE" title="सान्द्रता – hindština" lang="hi" hreflang="hi" data-title="सान्द्रता" 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/Koncentracija" title="Koncentracija – chorvatština" lang="hr" hreflang="hr" data-title="Koncentracija" data-language-autonym="Hrvatski" data-language-local-name="chorvatština" 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/Konsantrasyon" title="Konsantrasyon – haitština" lang="ht" hreflang="ht" data-title="Konsantrasyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitština" 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/Koncentr%C3%A1ci%C3%B3" title="Koncentráció – maďarština" lang="hu" hreflang="hu" data-title="Koncentráció" data-language-autonym="Magyar" data-language-local-name="maďarština" 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%BF%D5%B8%D5%B6%D6%81%D5%A5%D5%B6%D5%BF%D6%80%D5%A1%D6%81%D5%AB%D5%A1" title="Կոնցենտրացիա – arménština" lang="hy" hreflang="hy" data-title="Կոնցենտրացիա" 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/Konsentrasi" title="Konsentrasi – indonéština" lang="id" hreflang="id" data-title="Konsentrasi" 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-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Koncentro" title="Koncentro – ido" lang="io" hreflang="io" data-title="Koncentro" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Concentrazione_(chimica)" title="Concentrazione (chimica) – italština" lang="it" hreflang="it" data-title="Concentrazione (chimica)" 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/%E6%BF%83%E5%BA%A6" title="濃度 – japonština" lang="ja" hreflang="ja" data-title="濃度" 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-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D1%8F" title="Концентрация – kazaština" lang="kk" hreflang="kk" data-title="Концентрация" data-language-autonym="Қазақша" data-language-local-name="kazaština" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%86%8D%EB%8F%84" title="농도 – korejština" lang="ko" hreflang="ko" data-title="농도" 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/Koncentracija" title="Koncentracija – litevština" lang="lt" hreflang="lt" data-title="Koncentracija" data-language-autonym="Lietuvių" data-language-local-name="litevština" 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/Koncentr%C4%81cija" title="Koncentrācija – lotyština" lang="lv" hreflang="lv" data-title="Koncentrācija" data-language-autonym="Latviešu" data-language-local-name="lotyština" 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%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Концентрација – makedonština" lang="mk" hreflang="mk" data-title="Концентрација" 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%97%E0%B4%BE%E0%B4%A2%E0%B4%A4" title="ഗാഢത – malajálamština" lang="ml" hreflang="ml" data-title="ഗാഢത" data-language-autonym="മലയാളം" data-language-local-name="malajálamština" 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%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8" title="Концентраци – mongolština" lang="mn" hreflang="mn" data-title="Концентраци" data-language-autonym="Монгол" data-language-local-name="mongolština" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kepekatan" title="Kepekatan – malajština" lang="ms" hreflang="ms" data-title="Kepekatan" data-language-autonym="Bahasa Melayu" data-language-local-name="malajština" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Concentratie_(oplossing)" title="Concentratie (oplossing) – nizozemština" lang="nl" hreflang="nl" data-title="Concentratie (oplossing)" 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/Konsentrasjon" title="Konsentrasjon – norština (nynorsk)" lang="nn" hreflang="nn" data-title="Konsentrasjon" 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/Konsentrasjon_(kjemi)" title="Konsentrasjon (kjemi) – norština (bokmål)" lang="nb" hreflang="nb" data-title="Konsentrasjon (kjemi)" 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/St%C4%99%C5%BCenie" title="Stężenie – polština" lang="pl" hreflang="pl" data-title="Stężenie" data-language-autonym="Polski" data-language-local-name="polština" 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/Concentra%C3%A7%C3%A3o" title="Concentração – portugalština" lang="pt" hreflang="pt" data-title="Concentração" 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/Concentra%C8%9Bie" title="Concentrație – rumunština" lang="ro" hreflang="ro" data-title="Concentrație" 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%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D1%8F_%D1%81%D0%BC%D0%B5%D1%81%D0%B8" title="Концентрация смеси – ruština" lang="ru" hreflang="ru" data-title="Концентрация смеси" 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/Koncentracija" title="Koncentracija – srbochorvatština" lang="sh" hreflang="sh" data-title="Koncentracija" 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-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Concentration" title="Concentration – Simple English" lang="en-simple" hreflang="en-simple" data-title="Concentration" 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/Koncentr%C3%A1cia" title="Koncentrácia – slovenština" lang="sk" hreflang="sk" data-title="Koncentrácia" 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/Koncentracija" title="Koncentracija – slovinština" lang="sl" hreflang="sl" data-title="Koncentracija" data-language-autonym="Slovenščina" data-language-local-name="slovinština" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Hutapiri" title="Hutapiri – šonština" lang="sn" hreflang="sn" data-title="Hutapiri" data-language-autonym="ChiShona" data-language-local-name="šonština" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Концентрација – srbština" lang="sr" hreflang="sr" data-title="Концентрација" 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/Koncentration" title="Koncentration – švédština" lang="sv" hreflang="sv" data-title="Koncentration" data-language-autonym="Svenska" data-language-local-name="švédština" 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%AF%86%E0%AE%B1%E0%AE%BF%E0%AE%B5%E0%AF%81" title="செறிவு – tamilština" lang="ta" hreflang="ta" data-title="செறிவு" data-language-autonym="தமிழ்" data-language-local-name="tamilština" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B9%80%E0%B8%82%E0%B9%89%E0%B8%A1%E0%B8%82%E0%B9%89%E0%B8%99" title="ความเข้มข้น – thajština" lang="th" hreflang="th" data-title="ความเข้มข้น" data-language-autonym="ไทย" data-language-local-name="thajština" 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/Deri%C5%9Fim" title="Derişim – turečtina" lang="tr" hreflang="tr" data-title="Derişim" 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%9A%D0%BE%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B0%D1%86%D1%96%D1%8F_%D1%80%D0%BE%D0%B7%D1%87%D0%B8%D0%BD%D1%83" title="Концентрація розчину – ukrajinština" lang="uk" hreflang="uk" data-title="Концентрація розчину" data-language-autonym="Українська" data-language-local-name="ukrajinština" 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%D8%B1%D8%AA%DA%A9%D8%A7%D8%B2_(%DA%A9%DB%8C%D9%85%DB%8C%D8%A7)" title="ارتکاز (کیمیا) – urdština" lang="ur" hreflang="ur" data-title="ارتکاز (کیمیا)" data-language-autonym="اردو" data-language-local-name="urdština" 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/Konsentratsiya" title="Konsentratsiya – uzbečtina" lang="uz" hreflang="uz" data-title="Konsentratsiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečtina" 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/N%E1%BB%93ng_%C4%91%E1%BB%99" title="Nồng độ – vietnamština" lang="vi" hreflang="vi" data-title="Nồng độ" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamština" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Konsentrasyon" title="Konsentrasyon – warajština" lang="war" hreflang="war" data-title="Konsentrasyon" data-language-autonym="Winaray" data-language-local-name="warajština" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%B5%93%E5%BA%A6" title="浓度 – čínština (dialekty Wu)" lang="wuu" hreflang="wuu" data-title="浓度" data-language-autonym="吴语" data-language-local-name="čínština (dialekty Wu)" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-Concentration" title="I-Concentration – xhoština" lang="xh" hreflang="xh" data-title="I-Concentration" data-language-autonym="IsiXhosa" data-language-local-name="xhoština" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%B5%93%E5%BA%A6" title="浓度 – čínština" lang="zh" hreflang="zh" data-title="浓度" data-language-autonym="中文" data-language-local-name="čínština" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/L%C3%B4ng-t%C5%8D%CD%98" title="Lông-tō͘ – čínština (dialekty Minnan)" lang="nan" hreflang="nan" data-title="Lông-tō͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="čínština (dialekty Minnan)" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%BF%83%E5%BA%A6" title="濃度 – kantonština" lang="yue" hreflang="yue" data-title="濃度" data-language-autonym="粵語" data-language-local-name="kantonština" 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/Q3686031#sitelinks-wikipedia" title="Editovat mezijazykové odkazy" class="wbc-editpage">Upravit odkazy</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="Jmenné prostory"> <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/Koncentrace_(chemie)" 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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="cs" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Soubor:Dilution-concentration_simple_example.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Dilution-concentration_simple_example.jpg/220px-Dilution-concentration_simple_example.jpg" decoding="async" width="220" height="94" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Dilution-concentration_simple_example.jpg/330px-Dilution-concentration_simple_example.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/6/63/Dilution-concentration_simple_example.jpg 2x" data-file-width="360" data-file-height="154" /></a><figcaption>Změna barvy roztoku s koncentrací</figcaption></figure> <p><b>Koncentrace</b> je veličina, která číselně charakterizuje složení směsi. Vyjadřuje se několika způsoby. </p><p><b>Koncentrace</b> v užším smyslu slova (s výjimkou <a href="#Molalita_(molální_koncentrace)">molální koncentrace</a>) je podíl množství určité složky (vyjádřeného například <a href="/wiki/Hmotnost" title="Hmotnost">hmotností</a>, <a href="/wiki/Objem" title="Objem">objemem</a> nebo <a href="/wiki/L%C3%A1tkov%C3%A9_mno%C5%BEstv%C3%AD" title="Látkové množství">látkovým množstvím</a>) a objemu výsledné směsi. </p><p>Naproti tomu takzvaný (hmotnostní, objemový nebo molární) <b>zlomek</b> je <a href="/wiki/Bezrozm%C4%9Brn%C3%A1_veli%C4%8Dina" title="Bezrozměrná veličina">bezrozměrný</a> podíl množství složky a součtu stejnou veličinou vyjádřeného množství všech složek před smícháním. Při vyjádření koncentrace v <a href="/wiki/Procento" title="Procento">procentech</a>, <a href="/wiki/Promile" title="Promile">promilích</a>, <a href="/wiki/Parts_per_million" title="Parts per million">ppm</a> apod. se vždy jedná o zlomek. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Hmotnostní_koncentrace"><span id="Hmotnostn.C3.AD_koncentrace"></span>Hmotnostní koncentrace</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=1" title="Editace sekce: Hmotnostní koncentrace" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=1" title="Editovat zdrojový kód sekce Hmotnostní koncentrace"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Hmotnostn%C3%AD_koncentrace" title="Hmotnostní koncentrace">Hmotnostní koncentrace</a> <span class="texhtml"><var>ρ<sub>A</sub></var></span> složky <span class="texhtml"><var>A</var></span> je podíl její hmotnosti <span class="texhtml"><var>m<sub>A</sub></var></span> a celkového <a href="/wiki/Objem" title="Objem">objemu</a> výsledného <a href="/wiki/Roztok" title="Roztok">roztoku</a> <span class="texhtml"><var>V</var></span>. Její <a href="/wiki/Fyzik%C3%A1ln%C3%AD_jednotka" title="Fyzikální jednotka">jednotkou</a> je <a href="/wiki/Kilogram_na_metr_krychlov%C3%BD" title="Kilogram na metr krychlový">kg/m<sup>3</sup></a>. V podstatě jde o parciální <a href="/wiki/Hustota" title="Hustota">hustotu</a>, má i stejnou jednotku. </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 \rho _{A}={m_{A} \over V}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ρ<!-- ρ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mi>V</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho _{A}={m_{A} \over V}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e4dc06d4bc21f06e91806fc718465559971959c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:10.107ex; height:4.843ex;" alt="{\displaystyle \rho _{A}={m_{A} \over V}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Objemová_koncentrace"><span id="Objemov.C3.A1_koncentrace"></span>Objemová koncentrace</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=2" title="Editace sekce: Objemová koncentrace" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=2" title="Editovat zdrojový kód sekce Objemová koncentrace"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Objemov%C3%A1_koncentrace" title="Objemová koncentrace">Objemová koncentrace</a> <span class="texhtml"><var>σ<sub>A</sub></var></span> složky <span class="texhtml"><var>A</var></span> je bezrozměrný podíl jejího objemu <span class="texhtml"><var>V<sub>A</sub></var></span> před smícháním a celkového objemu výsledného roztoku <span class="texhtml"><var>V</var></span>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <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 \sigma _{A}={V_{A} \over V}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mi>V</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{A}={V_{A} \over V}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0dda9a436dc78df58ad6b173f6fb8301e6d4cdd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.547ex; height:5.509ex;" alt="{\displaystyle \sigma _{A}={V_{A} \over V}}"></span></dd></dl> <p>Součet objemových koncentrací všech složek <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="{\textstyle \sum _{i}\sigma _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\textstyle \sum _{i}\sigma _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e1b0720250e801b41df3834ca46acf39b72c8d8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.768ex; height:3.009ex;" alt="{\textstyle \sum _{i}\sigma _{i}}"></span> se může mírně lišit od 1 (na rozdíl od <a href="#Objemový_zlomek">objemového zlomku</a>), protože celkový objem se může smícháním látek mírně změnit. </p> <div class="mw-heading mw-heading2"><h2 id="Molární_koncentrace_(molarita)"><span id="Mol.C3.A1rn.C3.AD_koncentrace_.28molarita.29"></span>Molární koncentrace (molarita)</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=3" title="Editace sekce: Molární koncentrace (molarita)" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=3" title="Editovat zdrojový kód sekce Molární koncentrace (molarita)"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Mol%C3%A1rn%C3%AD_koncentrace" title="Molární koncentrace">Molarita</a> je definována jako podíl <a href="/wiki/L%C3%A1tkov%C3%A9_mno%C5%BEstv%C3%AD" title="Látkové množství">látkového množství</a> rozpuštěné látky a celkového objemu výsledného roztoku. </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 c_{A}={\frac {n_{A}}{V}}={\frac {m_{A}}{M_{A}V}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</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> <mi>V</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mi>V</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{A}={\frac {n_{A}}{V}}={\frac {m_{A}}{M_{A}V}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d25018125efe7005d8b2e7e00efe1d518a6c267c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:18.707ex; height:5.176ex;" alt="{\displaystyle c_{A}={\frac {n_{A}}{V}}={\frac {m_{A}}{M_{A}V}}}"></span></dd></dl> <p>kde n<sub>A</sub> je látkové množství složky A a M<sub>A</sub> je její <a href="/wiki/Mol%C3%A1rn%C3%AD_hmotnost" title="Molární hmotnost">molární hmotnost</a>. Její jednotkou je mol·dm<sup>−3</sup>. </p><p>Molarita roztoku se někdy zkráceně označuje písmenem <b>M</b>. Např. 2M znamená, že roztok je dvoumolární, tedy s koncentrací 2 mol/dm<sup>3</sup>. Je možné použít i násobných předpon, např. <b>mM</b> pak znamená milimolární (mmol/dm<sup>3</sup>), <b>μM</b> znamená mikromolární (μmol/dm<sup>3</sup>) atd. Tento způsob vyjadřování koncentrace se velmi často používá v <a href="/wiki/Analytick%C3%A1_chemie" title="Analytická chemie">analytické chemii</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Molalita_(molální_koncentrace)"><span id="Molalita_.28mol.C3.A1ln.C3.AD_koncentrace.29"></span>Molalita (molální koncentrace)</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=4" title="Editace sekce: Molalita (molální koncentrace)" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=4" title="Editovat zdrojový kód sekce Molalita (molální koncentrace)"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Molalita může být <i>objemová</i> nebo <i>hmotnostní</i>. Hmotnostní molalita je podíl <a href="/wiki/L%C3%A1tkov%C3%A9_mno%C5%BEstv%C3%AD" title="Látkové množství">látkového množství</a> rozpuštěné látky a hmotnosti <a href="/wiki/Rozpou%C5%A1t%C4%9Bdlo" title="Rozpouštědlo">rozpouštědla</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{A}={\frac {n_{A}}{m_{s}}}={\frac {m_{A}}{M_{A}m_{s}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</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>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{A}={\frac {n_{A}}{m_{s}}}={\frac {m_{A}}{M_{A}m_{s}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c48e9faae948458af713103d6dc3111cfb59c21e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:20.542ex; height:5.176ex;" alt="{\displaystyle \mu _{A}={\frac {n_{A}}{m_{s}}}={\frac {m_{A}}{M_{A}m_{s}}}}"></span></dd></dl> <p>kde m<sub>s</sub> je <a href="/wiki/Hmotnost" title="Hmotnost">hmotnost</a> rozpouštědla. <a href="/wiki/Fyzik%C3%A1ln%C3%AD_jednotka" title="Fyzikální jednotka">Jednotkou</a> je mol.kg<sup>−1</sup>. </p><p>Objemová molalita je podíl látkového množství rozpuštěné látky a <a href="/wiki/Objem" title="Objem">objemu</a> rozpouštědla. </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 \mu '_{A}={\frac {n_{A}}{V_{s}}}={\frac {m_{A}}{M_{A}V_{s}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>μ<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> <mo>′</mo> </msubsup> <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>s</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu '_{A}={\frac {n_{A}}{V_{s}}}={\frac {m_{A}}{M_{A}V_{s}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10ee093b4292975778654e18410b46cb0d13295b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:19.673ex; height:5.176ex;" alt="{\displaystyle \mu '_{A}={\frac {n_{A}}{V_{s}}}={\frac {m_{A}}{M_{A}V_{s}}}}"></span></dd></dl> <p>kde V<sub>s</sub> je objem rozpouštědla. Jednotkou je mol·dm<sup>−3</sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Hmotnostní_zlomek"><span id="Hmotnostn.C3.AD_zlomek"></span>Hmotnostní zlomek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=5" title="Editace sekce: Hmotnostní zlomek" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=5" title="Editovat zdrojový kód sekce Hmotnostní zlomek"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hmotnostní zlomek je podíl hmotnosti složky (m<sub>A</sub>, m<sub>B</sub>, ...) k hmotnosti celé směsi. Je to <a href="/wiki/Bezrozm%C4%9Brn%C3%A1_veli%C4%8Dina" title="Bezrozměrná veličina">bezrozměrná veličina</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 w_{A}={\frac {m_{A}}{\sum m_{i}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>w</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mrow> <mo>∑<!-- ∑ --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle w_{A}={\frac {m_{A}}{\sum m_{i}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/033d65aac1db5e5b7cd79fb324487e4abfe0468e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:12.745ex; height:5.509ex;" alt="{\displaystyle w_{A}={\frac {m_{A}}{\sum m_{i}}}}"></span></dd></dl> <p><a href="/wiki/S%C4%8D%C3%ADt%C3%A1n%C3%AD" title="Sčítání">Součet</a> hmotnostních zlomků všech složek směsi je roven 1, tzn. hmotnostní zlomek nabývá hodnot od 0 do 1. </p> <div class="mw-heading mw-heading2"><h2 id="Objemový_zlomek"><span id="Objemov.C3.BD_zlomek"></span>Objemový zlomek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=6" title="Editace sekce: Objemový zlomek" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=6" title="Editovat zdrojový kód sekce Objemový zlomek"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Objemov%C3%BD_zlomek" title="Objemový zlomek">Objemový zlomek</a> <span class="texhtml"><var>ϕ<sub>A</sub></var></span> složky <span class="texhtml"><var>A</var></span> je bezrozměrný podíl jejího objemu <span class="texhtml"><var>V<sub>A</sub></var></span> před smícháním a součtu objemů <span class="texhtml"><var>V<sub>i</sub></var></span> všech složek před smícháním. </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 \phi _{A}={\frac {V_{A}}{\sum _{i}V_{i}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ϕ<!-- ϕ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mrow> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi _{A}={\frac {V_{A}}{\sum _{i}V_{i}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cbb8a24ae0a3270fd5d27d130bb26c1ace63d5f6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:12.58ex; height:6.176ex;" alt="{\displaystyle \phi _{A}={\frac {V_{A}}{\sum _{i}V_{i}}}}"></span></dd></dl> <p>Také nabývá hodnot od 0 do 1 a součet všech objemových zlomků <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="{\textstyle \sum _{i}\phi _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msub> <mi>ϕ<!-- ϕ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\textstyle \sum _{i}\phi _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f96d4107980cc853d456e3472f8c2bb9166c92b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.826ex; height:3.009ex;" alt="{\textstyle \sum _{i}\phi _{i}}"></span> se rovná 1 (na rozdíl od <a href="#Objemová_koncentrace">objemové koncentrace</a>). </p> <div class="mw-heading mw-heading2"><h2 id="Molární_zlomek"><span id="Mol.C3.A1rn.C3.AD_zlomek"></span>Molární zlomek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=7" title="Editace sekce: Molární zlomek" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=7" title="Editovat zdrojový kód sekce Molární zlomek"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Molární zlomek je podíl <a href="/wiki/L%C3%A1tkov%C3%A9_mno%C5%BEstv%C3%AD" title="Látkové množství">látkového množství</a> složky a součtu látkového množství všech složek směsi. </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 x_{A}={\frac {n_{A}}{\sum n_{i}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</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> <mrow> <mo>∑<!-- ∑ --></mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{A}={\frac {n_{A}}{\sum n_{i}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e03a089d74f5a2fe43035d1df2b114ac874c2946" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:11.764ex; height:5.509ex;" alt="{\displaystyle x_{A}={\frac {n_{A}}{\sum n_{i}}}}"></span></dd></dl> <p>Stejně jako hmotnostní zlomek je i molární zlomek <a href="/wiki/Bezrozm%C4%9Brn%C3%A1_veli%C4%8Dina" title="Bezrozměrná veličina">bezrozměrný</a>. </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=Koncentrace_(chemie)&veaction=edit&section=8" title="Editace sekce: Odkazy" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=8" 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=Koncentrace_(chemie)&veaction=edit&section=9" title="Editace sekce: Reference" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=9" 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-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite style="font-style:normal;"> Volume concentration @ Chemistry Dictionary & Glossary. <i>glossary.periodni.com</i> [online]. [cit. 2023-03-26]. <a rel="nofollow" class="external text" href="https://glossary.periodni.com/glossary.php?en=volume+concentration">Dostupné online</a>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/cs.wikipedia.org:templatecitaceelperiodika&rft.jtitle=glossary.periodni.com&rft_id=https%3A%2F%2Fglossary.periodni.com%2Fglossary.php%3Fen%3Dvolume%2Bconcentration&rft.atitle=Volume+concentration+%40+Chemistry+Dictionary+%26+Glossary"><span style="display:none"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><cite class="book" style="font-style:normal;">MOORE, W.J. <i>Fyzikální chemie</i>. Praha: SNTL, 1981. 976 s. S. 247.</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=Fyzik%C3%A1ln%C3%AD+chemie&rft.aulast=Moore&rft.aufirst=W.J.&rft.place=Praha&rft.pub=SNTL&rft.date=1981&rft.tpages=976&rft.pages=247"><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=Koncentrace_(chemie)&veaction=edit&section=10" title="Editace sekce: Související články" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=10" title="Editovat zdrojový kód sekce Související články"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Aktivita_(chemie)" title="Aktivita (chemie)">Aktivita</a></li> <li><a href="/wiki/Fyzik%C3%A1ln%C3%AD_veli%C4%8Dina#Speciální_výrazy_pro_odvozené_veličiny" title="Fyzikální veličina">Fyzikální veličina#Speciální výrazy pro odvozené veličiny</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Externí_odkazy"><span id="Extern.C3.AD_odkazy"></span>Externí odkazy</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koncentrace_(chemie)&veaction=edit&section=11" title="Editace sekce: Externí odkazy" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koncentrace_(chemie)&action=edit&section=11" title="Editovat zdrojový kód sekce Externí odkazy"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="sisterproject sisterproject-wiktionary"><span class="sisterproject_image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Wiktionary-logo-cs.svg/16px-Wiktionary-logo-cs.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Wiktionary-logo-cs.svg/24px-Wiktionary-logo-cs.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/97/Wiktionary-logo-cs.svg/32px-Wiktionary-logo-cs.svg.png 2x" data-file-width="411" data-file-height="411" /></span></span></span> <span class="sisterproject_text"><span class="sisterproject_text_prefix">Slovníkové heslo </span><span class="sisterproject_text_target"><a href="https://cs.wiktionary.org/wiki/koncentrace" class="extiw" title="wikt:koncentrace">koncentrace</a></span><span class="sisterproject_text_suffix"> ve Wikislovníku</span></span></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r23078045">.mw-parser-output .navbox2{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox2 .navbox2{margin-top:0}.mw-parser-output .navbox2+.navbox2{margin-top:-1px}.mw-parser-output .navbox2-inner,.mw-parser-output .navbox2-subgroup{width:100%}.mw-parser-output .navbox2-group,.mw-parser-output .navbox2-title,.mw-parser-output .navbox2-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output th.navbox2-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox2,.mw-parser-output .navbox2-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox2-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output tr+tr>.navbox2-abovebelow,.mw-parser-output tr+tr>.navbox2-group,.mw-parser-output tr+tr>.navbox2-image,.mw-parser-output tr+tr>.navbox2-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox2 th,.mw-parser-output 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