Question

At a certain temperature, the r.m.s velocity for $O_2$ is 400 m/sec. At the same temperature, the r.m.s velocity for $H_2$ molecules will be

• A. 100 m/sec
• B. 25 m/sec
• C. 1600 m/sec
• D. 6400 m/sec

Answer 1

The correct option is C

1600 m/sec

$v=\sqrt{\frac{3RT}{M}}{v}_1\sqrt{M_1}=v_2\sqrt{M_2}400\times \sqrt{32}=v_2\times \sqrt{2}{v}_2=1600$