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Question: The free energy F of a compressible solid (einstein's elastically coupled oscillators model) has the following form as a function of temperature T and volumen V:
F(T, V) = Fo(V) + ATln(1 - e-E(V)/KBT)
with
F0(V) = B/2V0 (V - V0)2
and E(V) given by:
E(V) = E0 - E1(V- V0)/Vo
and A, B, E0, E1 positive constants.
1. Calculate the presion P, entropy S and internal energy U as a function of T and V. If you can, Express the result with the Bose Function
n(T, V) = (eE(V)KBT -1)-1
2. Estimate, at the lowest not null order on El, the diference in Cp - Cv of the heat capacities.
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