Answered: (a) Show that, if the kinetic energy of… | bartleby

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2.6 (a), (b)
• (a) Show that, if the kinetic energy of a particle with mass m, momentum p
p²/2m, the single particle partition function can be written Z1 =
V/23, where 1 =
partition function for the ideal gas will then be
is E =
Vh2/2nmkgT is the thermal wavelength. The canonical
VN
ZN
N! 23N
• (b) Use Stirling's approximation to show that in the thermodynamic limit
the Helmholtz free energy of an ideal gas is
A = -NkgT In (
V
+1
N23

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