Consider the partition function: 1 Z(N, V,T) 2rm 3N/2 (V – Nr)" exp(88N² /v), N! h2B where s and r are constants. This is the partition function for a Van der Waals gas. Compute the entropy and the pressure of this gas and thus show that the equation of state is: sN2 P+ V2 (V - Nr) = NKT.

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Consider the partition function:
3N/2
27rm
Z(N, V,T) =
N!
(V – Nr)N exp(8BN²/V),
h2B
where s and r are constants. This is the partition function for a Van der Waals gas. Compute the entropy and the pressure of this gas and thus
show that the equation of state is:
sN2
P+
(V- Nr) = NKT.
V2
Transcribed Image Text:Consider the partition function: 3N/2 27rm Z(N, V,T) = N! (V – Nr)N exp(8BN²/V), h2B where s and r are constants. This is the partition function for a Van der Waals gas. Compute the entropy and the pressure of this gas and thus show that the equation of state is: sN2 P+ (V- Nr) = NKT. V2
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