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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.71

Find the molar mass and the number of degrees of freedom of molecules in a gas if its heat capacities are known: cVc_{V} =0.65 J/(g⋅K)=0.65 \mathrm{~J} /(\mathrm{g} \cdot \mathrm{K}) and cp=0.91 J/(g⋅K)c_{p}=0.91 \mathrm{~J} /(\mathrm{g} \cdot \mathrm{K})

Reveal Answer
M=R/(cp−cv)=32 g/mol,i=2/(cp/cV−1)=5M=R /\left(c_{p}-c_{v}\right)=32 \mathrm{~g} / \mathrm{mol}, i=2 /\left(c_{p} / c_{V}-1\right)=5
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