2. The Helmholtz free energy of the van der Waals gas is given by V-bN F(T,V,T) = - NKT P/2 In T + In bN) + mn x] - aN²
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2. The Helmholtz free energy of the van der Waals gas is given by V-bN F(T,V,T) = - NKT P/2 In T + In bN) + mn x] - aN²
2. The Helmholtz free energy of the van der Waals gas is given by V-bN F(T,V,T) = - NKT P/2 In T + In bN) + mn x] - aN² /v In X a. From the energy function equations, show that (27) V.N ƏF = -S b. Find the entropy as a function of temperature, volume and number of particles: S(T,V,N). c. Derive [U(S,V,N)]. (Recall that F = U-TS.)