question_answer

The mass of a molecule of krypton is 2.25 times the mass of a hydrogen molecule. A mixture of equal masses of these gases is enclosed in a vessel. Calculate at any temperature the ratio of the root mean square velocities of krypton and hydrogen gases.

Answer:

\[\frac{{{({{\upsilon }_{rms}})}_{Kr}}}{{{({{\upsilon }_{rms}})}_{{{H}_{2}}}}}=\sqrt{\frac{{{M}_{{{H}_{2}}}}}{{{M}_{Kr}}}}=\sqrt{\frac{1}{225}}=\frac{10}{15}=\mathbf{2:3}\]