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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.79

A gas consisting of rigid diatomic molecules was initially under standard conditions. Then the gas was compressed adiabatically \(\eta=5.0\) times. Find the mean kinetic energy of a rotating molecule in the final state.

Reveal Answer
⟨ε⟩rot =kT0η2/i=0.7⋅10−20 J\langle\varepsilon\rangle_{\text {rot }}=k T_{0} \eta^{2 / i}=0.7 \cdot 10^{-20} \mathrm{~J}
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