All Problems Kinetic theory of gases. Boltzmanns Law and Maxwell distribution
Problem 2.84
Find the fraction of gas molecules whose velocities differ by less than \(\delta \eta=1.00 \%\) from the value of (a) the most probable velocity; (b) the root mean square velocity.
2.84. (a) \(\delta N / N=(8 / \sqrt{\pi}) e^{-1} \delta \eta=1.66 \%\) (b) \(\delta N / N=12 \sqrt{3 / 2 \pi} e^{-3 / 2} \delta \eta=1.85 \%\)