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Question: find the helmholtz free energy ftvn by legendre transformation of...

Question details

Find the Helmholtz free energy F(T,V,N) by Legendre Transformation of the internal energy U(S,V,N) implied by the entropy S(U,V,N) given in exercise 4.1 (See below).

Background info:

The entropy given is S(U,V,N)=N ilde{s_{}0} + N ilde{R}ln[(rac{U}{N ilde{u_{}0} })^{3/2}(rac{V}{N ilde{v_{}0} }))]

The resulting internal energy U(S,V,N):  U = 312N RT

This is for a monatomic ideal gas.

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