All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.97

What fraction of monatomic molecules of a gas in a thermal equilibrium possesses kinetic energies differing from the mean value by δη=1.0%\delta \eta=1.0 \% and less?

Reveal Answer
δN/N=36πe−3/2δη=0.9%\delta N / N=3 \sqrt{6 \pi} \mathrm{e}^{-3 / 2} \delta \eta=0.9 \%
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