- #1
Kelsi_Jade
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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...
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...