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**[SOLVED] statistical physics**

**1. Homework Statement**

http://ocw.mit.edu/NR/rdonlyres/Physics/8-044Spring-2004/85482B93-6A5E-4E2F-ABD2-E34AC245396C/0/ps5.pdf [Broken]

I am working on number 3 part a.

I am trying to calculate C_P.

From the first law of thermodynamics: [itex]dQ = dU -dW = dU +PdV[/itex] (does anyone know how to write the inexact differential d in latex?).

And we know that [itex]C_p \equiv \frac{dQ}{dT}_P[/itex]. But I don't see how to get an explicit expression for dQ. Should I expand dU and dV in terms of the other independent variables or what? What variables should I choose to be independent?

EDIT: I actually need help with Problem 4 also. I can integrate (dS/dA)_T w.r.t A and get that

[tex]S(A,T) = -\frac{NkT}{A-b}+\frac{aN^2}{A^2} +f(T)[/tex] but then I have no idea how to find f(T)!

**2. Homework Equations**

**3. The Attempt at a Solution**

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