Helmholtz energy function: Difference between revisions

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[[Hermann Ludwig Ferdinand von Helmholtz]]  
[[Hermann Ludwig Ferdinand von Helmholtz]]  
Definition:
Definition of A (for ''arbeit''):


:<math>\left.A\right.=U-TS</math>
:<math>\left.A\right.=U-TS</math>

Revision as of 15:37, 5 March 2007

Hermann Ludwig Ferdinand von Helmholtz Definition of A (for arbeit):

(TS) is a conjugate pair. The differential of this function is

From the Second law of thermodynamics one obtains

thus one arrives at

leading finally to


For A(T,V) one has the following total differential

Good for use in the Canonical ensemble.