# Van der waals partition function

Hello

I’m studying for my exam and there is a question in this exercise that I don’t get

I’m studying for my exam and there is a question in this exercise that I don’t get

**1. The problem statement, all variables and given/known data**Consider the partition function of a gas of N particles

Z = 1/N! (2*pi*m*k*T/h²)^{3N/2} (V-Nb)^{N} exp(a*N²/(VkT))

a. Find the equation of state

b. Find the Energy and Cv

c. What is the partition function for one molecule ? ( You can’t simply take N=1 in the partition function)

**2. Relevant equations**

**3. The attempt at a solution**

a) b) Solved

c. I don’t know how to solve this ?

Thanks

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