Question

The r.m.s. velocity of a gas at a certain temperature is $\sqrt{2}$ times than that of the oxygen molecules at that temperature. The gas can be

• A. $H_2$
• B. $He$
• C. $C{H}_4$
• D. $S{O}_2$

Answer 1

The correct option is C $C{H}_4$

$v_{rms}\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{M_2}{M_1}}$
$\therefore \frac{1}{\sqrt{2}}=\sqrt{\frac{M_2}{32}}\Rightarrow M_2=16.HencethegasisC{H}_4$