Thermodynamic relations: Difference between revisions

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These thermodynamic relations are also known as ''coefficient relations'' or ''Maxwell's relations''.
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Notation used:
*<math>H</math> is the [[enthalpy]]
*<math>T</math> is the [[temperature]]
*<math>G</math> is the [[Gibbs energy function]]
*<math>U</math> is the [[internal energy]],
*<math>V</math> is the volume
*<math>A</math> is the [[Helmholtz energy function]]
*<math>p</math> is the [[pressure]]
*<math>S</math> is the [[entropy]]
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These '''thermodynamic relations''' are also known as ''coefficient relations''.


<math>T=\left(\frac{\partial U}{\partial S}\right)_V </math>
<math>T=\left(\frac{\partial U}{\partial S}\right)_V </math>


<math> P=-\left(\frac{\partial U}{\partial V}\right)_S </math>
<math> p=-\left(\frac{\partial U}{\partial V}\right)_S </math>


<math>T=\left(\frac{\partial H}{\partial S}\right)_p </math>
<math>T=\left(\frac{\partial H}{\partial S}\right)_p </math>
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<math> V=\left(\frac{\partial H}{\partial p}\right)_S </math>
<math> V=\left(\frac{\partial H}{\partial p}\right)_S </math>


<math>S=-\left(\frac{\partial F}{\partial T}\right)_V </math>
<math>S=-\left(\frac{\partial A}{\partial T}\right)_V </math>


<math> p=-\left(\frac{\partial A}{\partial V}\right)_T </math>
<math> p=-\left(\frac{\partial A}{\partial V}\right)_T </math>
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<math> V=\left(\frac{\partial G}{\partial p}\right)_T </math>
<math> V=\left(\frac{\partial G}{\partial p}\right)_T </math>
==See also==
*[[Maxwell's relations]]
*[[Bridgman thermodynamic formulas]]
[[Category: Classical thermodynamics]]
[[Category: Classical thermodynamics]]

Latest revision as of 15:10, 5 October 2011

Notation used:

These thermodynamic relations are also known as coefficient relations.


See also[edit]