1. The problem statement, all variables and given/known data 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. Relevant 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!