The problem is : a) Find Helmholtz free energy F(V, T) of a simple solid. b) Use the result of part a) to verify that (∂F/∂T)v and (∂F/∂V)T are consistent with S(T, V) and P(V, T) in equation P=a0T-b0ln(V/V0) I know: Helmholtz free energy is F=U-TS and dF=-SdT-PdV S=-((∂F/∂T)v) P=-(∂F/∂V)T Maxwell relation: (∂S/∂V)T=(∂P/∂T)V My problem is that the only examples I have here of Helmholtz free energy is for an ideal gas, NOT a simple solid. Is this correct to say internal energy of simple solid is U=ncvT+nu0 ? And S=ncvln(T/Tr)+nRln(V/Vr+S(Tr, Vr) ? Where you could just substitute the equations for U and S into F and simplify? I found the above equations on a power point from another classes slides so I'm not sure on the background if they're accurate or not... Any help would be appreciated to get me on the right track!! Thanks!