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	<id>http://www.sklogwiki.org/SklogWiki/index.php?action=history&amp;feed=atom&amp;title=Gibbs-Helmholtz_equations</id>
	<title>Gibbs-Helmholtz equations - Revision history</title>
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	<updated>2026-04-28T11:59:07Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.41.0</generator>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=4780&amp;oldid=prev</id>
		<title>Carl McBride: Added internal link</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=4780&amp;oldid=prev"/>
		<updated>2007-10-30T18:10:49Z</updated>

		<summary type="html">&lt;p&gt;Added internal link&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:10, 30 October 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;H&amp;lt;/math&amp;gt; is the [[enthalpy]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;H&amp;lt;/math&amp;gt; is the [[enthalpy]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;temperature&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; is the [[Gibbs energy function]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; is the [[Gibbs energy function]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; is the [[internal energy]],&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; is the [[internal energy]],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carl McBride</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=2736&amp;oldid=prev</id>
		<title>Carl McBride at 16:33, 7 June 2007</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=2736&amp;oldid=prev"/>
		<updated>2007-06-07T16:33:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:33, 7 June 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l8&quot;&gt;Line 8:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 8:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; is the [[Gibbs energy function]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; is the [[Gibbs energy function]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; is the [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;First law of thermodynamics | &lt;/del&gt;internal energy]],&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; is the [[internal energy]],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt; is the volume&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt; is the volume&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is the [[Helmholtz energy function]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is the [[Helmholtz energy function]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carl McBride</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=2420&amp;oldid=prev</id>
		<title>Carl McBride: New page: :&lt;math&gt;H = -T^2 \left. \frac{\partial (G/T)}{\partial T} \right\vert_p&lt;/math&gt;   :&lt;math&gt;U = -T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_V&lt;/math&gt;  where  *&lt;math&gt;H&lt;/math&gt; is the...</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Gibbs-Helmholtz_equations&amp;diff=2420&amp;oldid=prev"/>
		<updated>2007-05-28T17:12:16Z</updated>

		<summary type="html">&lt;p&gt;New page: :&amp;lt;math&amp;gt;H = -T^2 \left. \frac{\partial (G/T)}{\partial T} \right\vert_p&amp;lt;/math&amp;gt;   :&amp;lt;math&amp;gt;U = -T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_V&amp;lt;/math&amp;gt;  where  *&amp;lt;math&amp;gt;H&amp;lt;/math&amp;gt; is the...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;:&amp;lt;math&amp;gt;H = -T^2 \left. \frac{\partial (G/T)}{\partial T} \right\vert_p&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;U = -T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &lt;br /&gt;
*&amp;lt;math&amp;gt;H&amp;lt;/math&amp;gt; is the [[enthalpy]] &lt;br /&gt;
*&amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature&lt;br /&gt;
*&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; is the [[Gibbs energy function]]&lt;br /&gt;
*&amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; is the [[First law of thermodynamics | internal energy]],&lt;br /&gt;
*&amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt; is the volume&lt;br /&gt;
*&amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is the [[Helmholtz energy function]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
[[Category: Classical thermodynamics]]&lt;/div&gt;</summary>
		<author><name>Carl McBride</name></author>
	</entry>
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