Question: Starting with the internal energy U(S,V) for single component system with constant number of moles N, obeying, dU = TDS - POV (1) go through

Starting with the internal energy U(S,V) for single component system with

Starting with the internal energy U(S,V) for single component system with constant number of moles N, obeying, dU = TDS - POV (1) go through the steps of performing the Legendre transformations to F(T,V), H(S,P) and G(T,P). Goal: Find the complete differenti als dF, dH and dG. Recall: (a) In general, the Legendre transform can be expressed as -() ( axk XR+U. (2) (b) T = (35)and - P = (*)s au as v

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