Gibbs energy function: Difference between revisions

Revision as of 17:12, 22 February 2007

Definition:

G = A + p V

G = U - T S + p V

Taking the total derivative

d G = d U - T d S - S d T + p d V + V d p

d G = T d S - p d V - T d S - S d T + p d V + V d p

thus one arrives at

$d G = - S d T + V d p$

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

d G = {(\frac{\partial G}{\partial T})}_{p} d T + {(\frac{\partial G}{\partial p})}_{T} d p

Revision as of 17:11, 22 February 2007 (edit) Carl McBride (talk \| contribs) mNo edit summary ← Older edit		Revision as of 17:12, 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 use in the ''NpT'' ensemble.~~