Derivation of Ideal Gas Law from Partition Function (20 points)
Derive the ideal Gas Law, PV=nkT, from the partition function, Z, for a three-dimensional ideal gas. One way to do this is to start with the following form of Z: Z(T,V) =
Vo and To are constants. Remember P = nkT and use Stirling's approximation: In N! = NlnN - N