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Volume molare - Wikipedia

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href="https://creativecommons.org/licenses/by-sa/4.0/deed.it"> <link rel="alternate" type="application/atom+xml" title="Feed Atom di Wikipedia" href="/w/index.php?title=Speciale:UltimeModifiche&amp;feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin-vector-legacy mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Volume_molare rootpage-Volume_molare skin-vector action-view"><div id="mw-page-base" class="noprint"></div> <div id="mw-head-base" class="noprint"></div> <div id="content" class="mw-body" role="main"> <a id="top"></a> <div id="siteNotice"><!-- CentralNotice --></div> <div class="mw-indicators"> </div> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Volume molare</span></h1> <div id="bodyContent" class="vector-body"> <div id="siteSub" class="noprint">Da Wikipedia, l&#039;enciclopedia libera.</div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Vai alla navigazione</a> <a class="mw-jump-link" href="#searchInput">Vai alla ricerca</a> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Relazione_tra_massa,_quantit%C3%A0_di_sostanza,_volume_e_numero_di_particelle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg/220px-Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg.png" decoding="async" width="220" height="130" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg/330px-Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg/440px-Relazione_tra_massa%2C_quantit%C3%A0_di_sostanza%2C_volume_e_numero_di_particelle.svg.png 2x" data-file-width="538" data-file-height="319" /></a><figcaption>La relazione tra massa, quantità di sostanza, volume e numero di particelle.</figcaption></figure><p>In <a href="/wiki/Chimica" title="Chimica">chimica</a>, il <b>volume molare</b> (v<sub>m</sub>) è il <a href="/wiki/Volume" title="Volume">volume</a> occupato da una <a href="/wiki/Mole" title="Mole">mole</a> di una determinata sostanza.<br /> </p><p>Si può calcolare come rapporto tra il <a href="/wiki/Volume" title="Volume">volume</a> (V) e la <a href="/wiki/Quantit%C3%A0_di_sostanza" title="Quantità di sostanza">quantità di sostanza</a> (n) di una sostanza in esso contenuto: </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 V_{\mathrm {m} }={\frac {V}{n}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> </mrow> </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_{\mathrm {m} }={\frac {V}{n}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4cac5688f16f851ecd4224654a093bc56b85c21d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.678ex; height:5.176ex;" alt="{\displaystyle V_{\mathrm {m} }={\frac {V}{n}}}"></span></dd></dl> <p>L'<a href="/wiki/Unit%C3%A0_di_misura" title="Unità di misura">unità di misura</a> nel <a href="/wiki/Sistema_Internazionale" class="mw-redirect" title="Sistema Internazionale">Sistema Internazionale</a> è il <a href="/wiki/Metro_cubo" title="Metro cubo">metro cubo</a> su <a href="/wiki/Mole" title="Mole">mole</a> (m<sup>3</sup>mol<sup>−1</sup>). </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="it" dir="ltr"><h2 id="mw-toc-heading">Indice</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Volume_nei_gas_ideali_e_volume_molare_standard"><span class="tocnumber">1</span> <span class="toctext">Volume nei gas ideali e volume molare standard</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Legge_di_Avogadro"><span class="tocnumber">2</span> <span class="toctext">Legge di Avogadro</span></a> <ul> <li class="toclevel-2 tocsection-3"><a href="#Eccezioni"><span class="tocnumber">2.1</span> <span class="toctext">Eccezioni</span></a></li> </ul> </li> <li class="toclevel-1 tocsection-4"><a href="#Volume_nella_fase_condensata"><span class="tocnumber">3</span> <span class="toctext">Volume nella fase condensata</span></a></li> <li class="toclevel-1 tocsection-5"><a href="#Voci_correlate"><span class="tocnumber">4</span> <span class="toctext">Voci correlate</span></a></li> <li class="toclevel-1 tocsection-6"><a href="#Altri_progetti"><span class="tocnumber">5</span> <span class="toctext">Altri progetti</span></a></li> </ul> </div> <div class="mw-heading mw-heading2"><h2 id="Volume_nei_gas_ideali_e_volume_molare_standard">Volume nei gas ideali e volume molare standard</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=1" title="Modifica la sezione Volume nei gas ideali e volume molare standard" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Volume nei gas ideali e volume molare standard"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per un <a href="/wiki/Gas_ideale" title="Gas ideale">gas ideale</a>, il <a href="/wiki/Volume_molare_standard" class="mw-redirect" title="Volume molare standard">volume molare standard</a> è il volume occupato da una <a href="/wiki/Mole" title="Mole">mole</a> a <a href="/wiki/Temperatura_e_pressione_standard" class="mw-redirect" title="Temperatura e pressione standard">temperatura e pressione standard</a> (<a href="/wiki/Standard_Temperature_and_Pressure" class="mw-redirect" title="Standard Temperature and Pressure">STP</a>). Equivale a 0,02241396954 m<sup>3</sup>mol<sup>−1</sup> o a 22,414 L/mol. </p><p>Tale valore si ricava sostituendo le <a href="/wiki/Coordinate_termodinamiche" title="Coordinate termodinamiche">coordinate termodinamiche</a> <a href="/wiki/Standard_Temperature_and_Pressure" class="mw-redirect" title="Standard Temperature and Pressure">STP</a> nella <a href="/wiki/Equazione_di_stato_dei_gas_perfetti" title="Equazione di stato dei gas perfetti">equazione di stato dei gas perfetti</a>, che si può esprimere nella forma: </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 pV_{m}=RT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mi>R</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle pV_{m}=RT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7b698dc0169cbddafa8351daa97709853c1e4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:10.788ex; height:2.509ex;" alt="{\displaystyle pV_{m}=RT}"></span></dd></dl> <p>sostituendo alla <a href="/wiki/Costante_dei_gas" title="Costante dei gas">costante dei gas</a> <i>R</i> il suo valore e la temperatura e la pressione <a href="/wiki/Standard_Temperature_and_Pressure" class="mw-redirect" title="Standard Temperature and Pressure">standard</a> (nelle unità SI sono rispettivamente 273,15 <a href="/wiki/Kelvin" title="Kelvin">K</a> e 101,325 k<a href="/wiki/Pascal_(unit%C3%A0_di_misura)" title="Pascal (unità di misura)">Pa</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 V_{m}={\frac {8,314462618\times 273,15}{101,325}}\times 10^{-3}\ m^{3}/mol=22,41399\ L/mol}"> <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> <mrow> <mn>8</mn> <mo>,</mo> <mn>314462618</mn> <mo>&#x00D7;<!-- × --></mo> <mn>273</mn> <mo>,</mo> <mn>15</mn> </mrow> <mrow> <mn>101</mn> <mo>,</mo> <mn>325</mn> </mrow> </mfrac> </mrow> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mrow> </msup> <mtext>&#xA0;</mtext> <msup> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>m</mi> <mi>o</mi> <mi>l</mi> <mo>=</mo> <mn>22</mn> <mo>,</mo> <mn>41399</mn> <mtext>&#xA0;</mtext> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>m</mi> <mi>o</mi> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{m}={\frac {8,314462618\times 273,15}{101,325}}\times 10^{-3}\ m^{3}/mol=22,41399\ L/mol}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/11ca8af59fb16025a9f9f4e4e9b8f6dcd29628c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:64.964ex; height:5.843ex;" alt="{\displaystyle V_{m}={\frac {8,314462618\times 273,15}{101,325}}\times 10^{-3}\ m^{3}/mol=22,41399\ L/mol}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Legge_di_Avogadro">Legge di Avogadro</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=2" title="Modifica la sezione Legge di Avogadro" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Legge di Avogadro"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'uniformità del volume molare in tutti i gas è garantita dalla <b>legge di Avogadro</b>, nota anche come <b>legge di Avogadro-Ampère</b>, che afferma che moli uguali di gas diversi in condizioni normali (<a href="/wiki/Standard_Temperature_and_Pressure" class="mw-redirect" title="Standard Temperature and Pressure">STP</a>) occupano lo stesso volume. La legge di Avogadro si deriva dalla <a href="/wiki/Equazione_di_stato_dei_gas_perfetti" title="Equazione di stato dei gas perfetti">equazione di stato dei gas perfetti</a>, in questa maniera: </p> <ul><li>equazione di stato dei gas perfetti:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle pV=nRT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mi>V</mi> <mo>=</mo> <mi>n</mi> <mi>R</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle pV=nRT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57c364f7f0b47178cfd35c3bbaf6dcb22a98cf44" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:10.94ex; height:2.509ex;" alt="{\displaystyle pV=nRT}"></span></dd></dl></dd></dl> <ul><li>legge di Avogadro:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {p}{RT}}={\frac {n}{V}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mrow> <mi>R</mi> <mi>T</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>n</mi> <mi>V</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {p}{RT}}={\frac {n}{V}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7c97c9b1472ae266931c244e1d49caedadce779" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.958ex; height:5.009ex;" alt="{\displaystyle {\frac {p}{RT}}={\frac {n}{V}}}"></span></dd></dl></dd></dl> <p>Il secondo membro dell'equazione della legge di Avogadro è il numero di moli fratto il volume, cioè la <a href="/wiki/Concentrazione_di_quantit%C3%A0_di_sostanza" title="Concentrazione di quantità di sostanza">concentrazione molare</a> del gas, che rimane costante restando costanti pressione e temperatura al primo membro. </p><p>Inoltre, sostituendo a V il volume molare (22,414 L), si ottiene al posto di n, N<sub>A</sub> la <a href="/wiki/Costante_di_Avogadro" title="Costante di Avogadro">costante di Avogadro</a> (6,022×10<sup>23</sup>), cioè il numero di particelle (atomi, molecole o ioni contenute in una mole), o il volume molare di un gas. </p> <div class="mw-heading mw-heading3"><h3 id="Eccezioni">Eccezioni</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=3" title="Modifica la sezione Eccezioni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Eccezioni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il volume molare di un gas reale non è uguale per tutte le sostanze. Ad esempio <a href="/wiki/Elio" title="Elio">elio</a> e <a href="/wiki/Azoto" title="Azoto">azoto</a> hanno volume molare 22,4 L, mentre il <a href="/wiki/Anidride_carbonica" title="Anidride carbonica">diossido di carbonio</a> 22,26 L e il <a href="/wiki/Cloro" title="Cloro">cloro</a> 22,99 L. Tuttavia, per convenienza pratica, viene utilizzato il valore di 22,4 L/mol per ogni gas in condizioni STP approssimandone il comportamento a quello di un gas ideale. </p> <div class="mw-heading mw-heading2"><h2 id="Volume_nella_fase_condensata">Volume nella fase condensata</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=4" title="Modifica la sezione Volume nella fase condensata" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Volume nella fase condensata"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per le sostanze solide e liquide il volume molare è solitamente riferito alla temperatura di 298,15 K (ovvero 25&#160;°C). </p><p>È possibile calcolarlo dividendo la <a href="/wiki/Massa_molare" title="Massa molare">massa molare</a> per la <a href="/wiki/Densit%C3%A0" title="Densità">densità</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 V_{\rm {m}}={M \over \rho }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>M</mi> <mi>&#x03C1;<!-- ρ --></mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{\rm {m}}={M \over \rho }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3387b846ac3598a4b12a911202bf114c3f188506" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:9.333ex; height:5.676ex;" alt="{\displaystyle V_{\rm {m}}={M \over \rho }}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=5" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Legge_dei_gas_perfetti" class="mw-redirect" title="Legge dei gas perfetti">Legge dei gas perfetti</a></li> <li><a href="/wiki/Equazione_di_Van_der_Waals" class="mw-redirect" title="Equazione di Van der Waals">Equazione di Van der Waals</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume_molare&amp;veaction=edit&amp;section=6" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume_molare&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; 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href="/wiki/Speciale:PuntanoQui/Volume_molare" title="Elenco di tutte le pagine che sono collegate a questa [j]" accesskey="j"><span>Puntano qui</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speciale:ModificheCorrelate/Volume_molare" rel="nofollow" title="Elenco delle ultime modifiche alle pagine collegate a questa [k]" accesskey="k"><span>Modifiche correlate</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Speciale:PagineSpeciali" title="Elenco di tutte le pagine speciali [q]" accesskey="q"><span>Pagine speciali</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Volume_molare&amp;oldid=141491211" title="Collegamento permanente a questa versione di questa pagina"><span>Link permanente</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Volume_molare&amp;action=info" title="Ulteriori informazioni su questa pagina"><span>Informazioni pagina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speciale:Cita&amp;page=Volume_molare&amp;id=141491211&amp;wpFormIdentifier=titleform" title="Informazioni su come citare questa pagina"><span>Cita questa voce</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciale:UrlShortener&amp;url=https%3A%2F%2Fit.wikipedia.org%2Fwiki%2FVolume_molare"><span>Ottieni URL breve</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciale:QrCode&amp;url=https%3A%2F%2Fit.wikipedia.org%2Fwiki%2FVolume_molare"><span>Scarica codice QR</span></a></li> </ul> </div> </nav> <nav id="p-coll-print_export" class="mw-portlet mw-portlet-coll-print_export vector-menu-portal portal vector-menu" aria-labelledby="p-coll-print_export-label" > <h3 id="p-coll-print_export-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Stampa/esporta</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Speciale:Libro&amp;bookcmd=book_creator&amp;referer=Volume+molare"><span>Crea un libro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciale:DownloadAsPdf&amp;page=Volume_molare&amp;action=show-download-screen"><span>Scarica come PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Volume_molare&amp;printable=yes" title="Versione stampabile di questa pagina [p]" accesskey="p"><span>Versione stampabile</span></a></li> </ul> </div> </nav> <nav id="p-wikibase-otherprojects" class="mw-portlet mw-portlet-wikibase-otherprojects vector-menu-portal portal vector-menu" aria-labelledby="p-wikibase-otherprojects-label" > <h3 id="p-wikibase-otherprojects-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">In altri progetti</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q487112" title="Collegamento all&#039;elemento connesso dell&#039;archivio dati [g]" accesskey="g"><span>Elemento Wikidata</span></a></li> </ul> </div> </nav> <nav id="p-lang" class="mw-portlet mw-portlet-lang vector-menu-portal portal vector-menu" aria-labelledby="p-lang-label" > <h3 id="p-lang-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">In altre lingue</span> </h3> <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 - afrikaans" lang="af" hreflang="af" data-title="Molêre volume" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" 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 - arabo" lang="ar" hreflang="ar" data-title="حجم مولي" data-language-autonym="العربية" data-language-local-name="arabo" 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 - asturiano" lang="ast" hreflang="ast" data-title="Volume molar" data-language-autonym="Asturianu" data-language-local-name="asturiano" 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 - bielorusso" lang="be" hreflang="be" data-title="Малярны аб’ём" data-language-autonym="Беларуская" data-language-local-name="bielorusso" 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 - bulgaro" lang="bg" hreflang="bg" data-title="Моларен обем" data-language-autonym="Български" data-language-local-name="bulgaro" 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 - bosniaco" lang="bs" hreflang="bs" data-title="Molarni volumen" data-language-autonym="Bosanski" data-language-local-name="bosniaco" 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 - catalano" lang="ca" hreflang="ca" data-title="Volum atòmic" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Mol%C3%A1rn%C3%AD_objem" title="Molární objem - ceco" lang="cs" hreflang="cs" data-title="Molární objem" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%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 - ciuvascio" lang="cv" hreflang="cv" data-title="Моль калăпăшĕ" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" 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 - tedesco" lang="de" hreflang="de" data-title="Molares Volumen" data-language-autonym="Deutsch" data-language-local-name="tedesco" 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 - inglese" lang="en" hreflang="en" data-title="Molar volume" data-language-autonym="English" data-language-local-name="inglese" 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 - spagnolo" lang="es" hreflang="es" data-title="Volumen molar" data-language-autonym="Español" data-language-local-name="spagnolo" 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 - estone" lang="et" hreflang="et" data-title="Molaarruumala" data-language-autonym="Eesti" data-language-local-name="estone" 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 - persiano" lang="fa" hreflang="fa" data-title="حجم مولی" data-language-autonym="فارسی" data-language-local-name="persiano" 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 - finlandese" lang="fi" hreflang="fi" data-title="Moolitilavuus" data-language-autonym="Suomi" data-language-local-name="finlandese" 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 - francese" lang="fr" hreflang="fr" data-title="Volume molaire" data-language-autonym="Français" data-language-local-name="francese" 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 - hindi" lang="hi" hreflang="hi" data-title="मोलर आयतन" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Molni_volumen" title="Molni volumen - croato" lang="hr" hreflang="hr" data-title="Molni volumen" data-language-autonym="Hrvatski" data-language-local-name="croato" 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 - armeno" lang="hy" hreflang="hy" data-title="Մոլային ծավալ" data-language-autonym="Հայերեն" data-language-local-name="armeno" 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 - indonesiano" lang="id" hreflang="id" data-title="Volume molar" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</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 - giapponese" lang="ja" hreflang="ja" data-title="モル体積" data-language-autonym="日本語" data-language-local-name="giapponese" 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 - georgiano" lang="ka" hreflang="ka" data-title="მოლური მოცულობა" data-language-autonym="ქართული" data-language-local-name="georgiano" 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 - coreano" lang="ko" hreflang="ko" data-title="몰부피" data-language-autonym="한국어" data-language-local-name="coreano" 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 - lituano" lang="lt" hreflang="lt" data-title="Molinis tūris" data-language-autonym="Lietuvių" data-language-local-name="lituano" 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 - moksha" lang="mdf" hreflang="mdf" data-title="Моляронь тяльгомась" data-language-autonym="Мокшень" data-language-local-name="moksha" 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 - macedone" lang="mk" hreflang="mk" data-title="Моларна зафатнина" data-language-autonym="Македонски" data-language-local-name="macedone" 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 - malayalam" lang="ml" hreflang="ml" data-title="മോളാർ വ്യാപ്തം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" 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 - olandese" lang="nl" hreflang="nl" data-title="Molair volume" data-language-autonym="Nederlands" data-language-local-name="olandese" 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 - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Molart volum" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese 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 - norvegese bokmål" lang="nb" hreflang="nb" data-title="Molart volum" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese 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 - polacco" lang="pl" hreflang="pl" data-title="Objętość molowa" data-language-autonym="Polski" data-language-local-name="polacco" 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&#039;Avogadro - piemontese" lang="pms" hreflang="pms" data-title="Laj d&#039;Avogadro" data-language-autonym="Piemontèis" data-language-local-name="piemontese" 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 - portoghese" lang="pt" hreflang="pt" data-title="Volume molar" data-language-autonym="Português" data-language-local-name="portoghese" 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 - rumeno" lang="ro" hreflang="ro" data-title="Volum molar" data-language-autonym="Română" data-language-local-name="rumeno" 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 - russo" lang="ru" hreflang="ru" data-title="Молярный объём" data-language-autonym="Русский" data-language-local-name="russo" 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 - serbo-croato" lang="sh" hreflang="sh" data-title="Molarni volumen" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" 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 - slovacco" lang="sk" hreflang="sk" data-title="Molárny objem" data-language-autonym="Slovenčina" data-language-local-name="slovacco" 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 - sloveno" lang="sl" hreflang="sl" data-title="Molarna prostornina" data-language-autonym="Slovenščina" data-language-local-name="sloveno" 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 - serbo" lang="sr" hreflang="sr" data-title="Моларна запремина" data-language-autonym="Српски / srpski" data-language-local-name="serbo" 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 - svedese" lang="sv" hreflang="sv" data-title="Molvolym" data-language-autonym="Svenska" data-language-local-name="svedese" 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 - turco" lang="tr" hreflang="tr" data-title="Molar hacim" data-language-autonym="Türkçe" data-language-local-name="turco" 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&#039;єм - ucraino" lang="uk" hreflang="uk" data-title="Молярний об&#039;єм" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Molar_hajm" title="Molar hajm - uzbeco" lang="uz" hreflang="uz" data-title="Molar hajm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" 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/Th%E1%BB%83_t%C3%ADch_mol" title="Thể tích mol - vietnamita" lang="vi" hreflang="vi" data-title="Thể tích mol" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%91%A9%E5%B0%94%E4%BD%93%E7%A7%AF" title="摩尔体积 - cinese" lang="zh" hreflang="zh" data-title="摩尔体积" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%91%A9%E7%88%BE%E9%AB%94%E7%A9%8D" title="摩爾體積 - cinese classico" lang="lzh" hreflang="lzh" data-title="摩爾體積" data-language-autonym="文言" data-language-local-name="cinese classico" class="interlanguage-link-target"><span>文言</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/Q487112#sitelinks-wikipedia" title="Modifica collegamenti interlinguistici" class="wbc-editpage">Modifica collegamenti</a></span></div> </div> </nav> </div> </div> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Questa pagina è stata modificata per l'ultima volta il&#160;6 ott 2024 alle 20:24.</li> <li id="footer-info-copyright">Il testo è disponibile secondo la <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.it">licenza Creative Commons 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