Calculate the exact numerical ratio of the root mean square speed () of hydrogen gas () at to the ro — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

The formula for $U_{rms}$ is $\sqrt{3RT/M}$. For $H_2$, $U_{rms(H_2)} = \sqrt{3R(50)/2} = \sqrt{75R}$. For $O_2$, $U_{rms(O_2)} = \sqrt{3R(800)/32} = \sqrt{2400R/32} = \sqrt{75R}$. The ratio is therefore $\sqrt{75R} / \sqrt{75R} = 1$.