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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.66

How many degrees of freedom have the gas molecules, if under standard conditions the gas density is ρ=1.3mg/cm3\rho=1.3 \mathrm{mg} / \mathrm{cm}^{3} and the velocity of sound propagation in it is v=330 m/sv=330 \mathrm{~m} / \mathrm{s}.

Reveal Answer
i=2/(ρv2/p−1)=5i=2 /\left(\rho v^{2} / p-1\right)=5
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