Gibbs energy function: Difference between revisions

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:<math>\left.G\right.=A+pV</math>
:<math>\left.G\right.=A+pV</math>


where ''p'' is the [[pressure]], ''V'' is the volume, and  ''A'' is the [[Helmholtz energy function]], i.e.


:<math>\left.G\right.=U-TS+pV</math>
:<math>\left.G\right.=U-TS+pV</math>
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thus one arrives at
thus one arrives at


 
:<math>\left.dG\right.=-SdT+Vdp</math>
<math>\left.dG\right.=-SdT+Vdp</math>


For ''G(T,p)'' we have the following ''total differential''
For ''G(T,p)'' we have the following ''total differential''


:<math>dG=\left(\frac{\partial G}{\partial T}\right)_p dT + \left(\frac{\partial G}{\partial p}\right)_T dp</math>
:<math>dG=\left(\frac{\partial G}{\partial T}\right)_p dT + \left(\frac{\partial G}{\partial p}\right)_T dp</math>
 
[[Category: Classical thermodynamics]]
Good for $NpT$

Latest revision as of 16:17, 29 January 2008

Definition:

where p is the pressure, V is the volume, and A is the Helmholtz energy function, i.e.

Taking the total derivative

From the Second law of thermodynamics one obtains

thus one arrives at

For G(T,p) we have the following total differential