# 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

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

This is for a monatomic ideal gas.