1. The problem statement, all variables and given/known data I have the equation Z=1/N!h3N∫∫d3qid3pie-βH(q,p) How can I get the entropy from this equation assuming a classical gas of N identical, noninteracting atoms inside a volume V in equilibrium at T where it has an internal degree of freedom with energies 0 and ε What about the specific heat at constant volume Cv? Can anyone explain the equation? 2. Relevant equations Z=1/N!h3N∫∫d3qid3pie-βH(q,p) 3. The attempt at a solution Well I integrated the momentum and the volume separately. At the end I did get PV=NRT where I'm supposed to show that from this equation I can derive to the ideal gas law equation ∫d3q=VN=Vn/N! ∫d3p=0 However by using Z equation I can derive the entropy for this problem, how? what about specific heat?