Consider a classical ideal gas of N diatomic heterogeneous molecules at temperature T. The charac- teristic rotational energy parameter is εr = 2 and the natural frequency of vibrations is wo. Consider the temperature region where Ter/kB, but T is of the order of ħwo/kB. Ignore contributions from all other internal modes. Calculate the canonical partition function, the average energy, and the heat capacity at constant volume, Cy.

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Consider a classical ideal gas of N diatomic heterogeneous molecules at temperature T. The charac-
teristic rotational energy parameter is € = 1 and the natural frequency of vibrations is wo. Consider
the temperature region where T≫er/kB, but T is of the order of ħwo/kB. Ignore contributions from
all other internal modes. Calculate the canonical partition function, the average energy, and the heat
capacity at constant volume, Cv.
Transcribed Image Text:Consider a classical ideal gas of N diatomic heterogeneous molecules at temperature T. The charac- teristic rotational energy parameter is € = 1 and the natural frequency of vibrations is wo. Consider the temperature region where T≫er/kB, but T is of the order of ħwo/kB. Ignore contributions from all other internal modes. Calculate the canonical partition function, the average energy, and the heat capacity at constant volume, Cv.
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