Suppose a system consists of N noninteracting, indistinguishable, identical particles and that each particle has available to it only two quantum states, whose energies are e1=0 and e2=a. (a) Find expressions for z, Z, U, CV, and S. (

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Suppose a system consists of N noninteracting, indistinguishable,
identical particles and that each particle has available
to it only two quantum states, whose energies are e1=0
and e2=a. (a) Find expressions for z, Z, U, CV, and S. (See the
note at the end of this problem.)  Note:
The two quantum states referred to are the quantum states for
the internal motion (Sec. 20.3) in each particle. In addition,
each nonlocalized particle has a huge number of available translational
states that allow <Nr> << 1 to be satisfied. The problem
, therefore, calculates the contributions of only the internal motions
to the thermodynamic properties. The 1/N! should be omitted
from Z, since the 1/N! belongs as part of the translational
factor in Z, which is not being considered in this problem.

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