All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.77

The mass \(m=15 \mathrm{~g}\) of nitrogen is enclosed in a vessel at a tem perature \(T=300 \mathrm{~K}\). What amount of heat has to be transferred to the gas to increase the root mean square velocity of its molecules \(\eta=2.0\) times?

Reveal Answer
Q=1/2(η21)imRT/M=10 kJQ=1 / 2\left(\eta^{2}-1\right) i m R T / M=10 \mathrm{~kJ}