A classical system consists of N indistinguishable particles. The energy leve for each particle are E₁ = 0, E2= &, and E3 = 10. (1) Find the partition function of the system. (2) Find the mean energy E(T) of the system at temperature T. (3) Find the heat capacity C✓(T). (4) Find the temperature dependence of C✓(7) at high and low temperature limits.

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A classical system consists of N indistinguishable particles. The energy leve
for each particle are E₁ = 0, E2= &, and E3= 108.
(1) Find the partition function of the system.
(2) Find the mean energy E(T) of the system at temperature T.
(3) Find the heat capacity C✓(T).
(4) Find the temperature dependence of C(7) at high and low temperature limits.
(5) Sketch C(T) and E(T) as functions of T.
Transcribed Image Text:A classical system consists of N indistinguishable particles. The energy leve for each particle are E₁ = 0, E2= &, and E3= 108. (1) Find the partition function of the system. (2) Find the mean energy E(T) of the system at temperature T. (3) Find the heat capacity C✓(T). (4) Find the temperature dependence of C(7) at high and low temperature limits. (5) Sketch C(T) and E(T) as functions of T.
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