Question: To prove that the equation U=-T((a/aT)*(F/T))V, N is valid between internal energy U= (E) and Helmholtz function F = -KBT In(Z), we can start

To prove that the equation U=-T((a/aT)*(F/T))V, N is valid between internal energy

To prove that the equation U=-T((a/aT)*(F/T))V, N is valid between internal energy U= (E) and Helmholtz function F = -KBT In(Z), we can start by noting that U = (E) = a(F+TS)/a, where = 1/kBT. How do we know that U (E) (F+TS)/a?

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