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Helmholtz free energy of simple solid

  1. Nov 18, 2013 #1
    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...
     
  2. jcsd
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