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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.83

Calculate the most probable, the mean, and the root mean square velocities of a molecule of a gas whose density under standard atmospheric pressure is equal to ρ=1.00 g/1\rho=1.00 \mathrm{~g} / 1.

Reveal Answer
 2.83. vpr=2p/ρ=0.45 km/s,⟨v⟩=0.51 km/s,vsq==0.55 km/s\begin{aligned} & \text { 2.83. } v_{p r}=\sqrt{2 p / \rho}=0.45 \mathrm{~km} / \mathrm{s},\langle v\rangle=0.51 \mathrm{~km} / \mathrm{s}, \quad v_{s q}=\\ =& 0.55 \mathrm{~km} / \mathrm{s} \end{aligned}
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