All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.77

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

Reveal Answer
Q=1/2(η2−1)imRT/M=10 kJQ=1 / 2\left(\eta^{2}-1\right) i m R T / M=10 \mathrm{~kJ}
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