(b) Suppose we can write the partition function of N inseparable gas particles as the one-particle partition function. Show that then the chemical potential of the particles is μ=-kBT ln ZN = ZN/N! Z₁ N " where Z₁ is

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(a) Derive equations (22.21), (22.22) and (22.23).
Z
N=[N₁P₁ = kBT (³₂²)
U = ΣE;P₁ = − (
-(3m²).
S = -kBP; In Pi
B
+UN,
UuN+ kBT ln Z
T
μ = -kBT ln
(22.21)
(²)
N
(22.22)
(22.23)
(b) Suppose we can write the partition function of N inseparable gas particles as
the one-particle partition function. Show that then the chemical potential of the particles is
ZN = ZN/N!
where Z₁ is
Transcribed Image Text:(a) Derive equations (22.21), (22.22) and (22.23). Z N=[N₁P₁ = kBT (³₂²) U = ΣE;P₁ = − ( -(3m²). S = -kBP; In Pi B +UN, UuN+ kBT ln Z T μ = -kBT ln (22.21) (²) N (22.22) (22.23) (b) Suppose we can write the partition function of N inseparable gas particles as the one-particle partition function. Show that then the chemical potential of the particles is ZN = ZN/N! where Z₁ is
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