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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} }))]](https://homework-api-assets-production.s3.ap-southeast-2.amazonaws.com/uploads/store/441914066/1603022853138800484ea5a46a2a7188474a0e86a0.gif)
The resulting internal energy U(S,V,N): 
This is for a monatomic ideal gas.
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