Question: find the helmholtz free energy ftvn by legendre transformation of...
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).
The entropy given is
The resulting internal energy U(S,V,N):
This is for a monatomic ideal gas.