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Consider the Helmholtz free energy, F =U- TS, the themodynamic potential for constant T, V and N. a) in T, V, and N. Derive the themodynamic identity for F that relates a variation in F to variations Derive a Maxwell relation from this thermodynamic identity by equating mixed partial second derivatives of F with respeet to T and V, holding N fixed. b) = r (A, Recall ht G, = c) Use this Maxwell relation to show that = r),

Consider the Helmholtz free energy, F =U- TS, the themodynamic potential for constant T, V and N. a) in T, V, and N. Derive the themodynamic identity for F that relates a variation in F to variations Derive a Maxwell relation from this thermodynamic identity by equating mixed partial second derivatives of F with respeet to T and V, holding N fixed. b) = r (A, Recall ht G, = c) Use this Maxwell relation to show that = r),

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Consider the Helmholtz free energy, F =U- TS, the themodynamic potential for constant T, V and N. a) in T, V, and N. Derive the themodynamic identity for F that relates a variation in F to variations Derive a Maxwell relation from this thermodynamic identity by equating mixed partial second derivatives of F with respeet to T and V, holding N fixed. b) = r (A, Recall ht G, = c) Use this Maxwell relation to show that = r),
Transcribed Image Text:Consider the Helmholtz free energy, F =U- TS, the themodynamic potential for constant T, V and N. a) in T, V, and N. Derive the themodynamic identity for F that relates a variation in F to variations Derive a Maxwell relation from this thermodynamic identity by equating mixed partial second derivatives of F with respeet to T and V, holding N fixed. b) = r (A, Recall ht G, = c) Use this Maxwell relation to show that = r),
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