Gibbs energy function: Difference between revisions

Revision as of 19:11, 22 February 2007

Definition:

\left.G\right.=A+pV

\left.G\right.=U-TS+pV

Taking the total derivative

\left.dG\right.=dU-TdS-SdT+pdV+Vdp

\left.dG\right.=TdS-pdV-TdS-SdT+pdV+Vdp

thus one arrives at

$\left.dG\right.=-SdT+Vdp$

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

dG=\left({\frac {\partial G}{\partial T}}\right)_{p}dT+\left({\frac {\partial G}{\partial p}}\right)_{T}dp

Good for use in the NpT ensemble.

Revision as of 19:10, 22 February 2007 (edit) Carl McBride (talk \| contribs) mNo edit summary ← Older edit		Revision as of 19:11, 22 February 2007 (edit) (undo) Carl McBride (talk \| contribs) mNo edit summary Newer edit →
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	:<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>

	Good for $NpT$		Good for use in the ''NpT'' ensemble.