All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.78

The temperature of a gas consisting of rigid diatomic molecules is T=300 KT=300 \mathrm{~K}. Calculate the angular root mean square velocity of a rotating molecule if its moment of inertia is equal to II =2.11039 gcm2=2.1 \cdot 10^{-39} \mathrm{~g} \cdot \mathrm{cm}^{2}

Reveal Answer
ωsq=2kT/I=6.31012rad/sec\omega_{s q}=\sqrt{2 k T / I}=6.3 \cdot 10^{12 \mathrm{rad} / \mathrm{sec}}