Problem 2.97

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

Reveal Answer

\delta N / N=3 \sqrt{6 \pi} \mathrm{e}^{-3 / 2} \delta \eta=0.9 \%

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution