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**1. Homework Statement**

Partition Function: Z = 1/N! [8 pi V (kT/hc)^3]^N

There are several parts to this but here are the parts I'm struggling with:

a) Compute the entropy of the system S.

b) Computer the energy density u and compare the result with the corresponding results for a nonrelativistic gas and radiation (a "photon gas").

**2. Homework Equations**

S = Bk (U-F) = - (partial F w/ respect to T)

S = k ln Z

u = U/V

**3. The Attempt at a Solution**

I got that U = 3 NkT. So is u just 3Nkt/V? How do I find this for a nonrelativistic gas and radiation?

I also computed cv = 3Nk and cp = 4Nk but don't know what to do from there.

Much appreciate the help!