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## Homework Statement

I have the equation

Z=1/N!h

^{3N}∫∫d

^{3}q

_{i}d

^{3}p

_{i}e

^{-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?

## Homework Equations

Z=1/N!h

^{3N}∫∫d

^{3}q

_{i}d

^{3}p

_{i}e

^{-βH(q,p)}

## 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

∫d

^{3}q=V

^{N}=V

^{n}/N!

∫d

^{3}p=0

However by using Z equation I can derive the entropy for this problem, how?

what about specific heat?