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$S{O_2}$
Medium
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C$C{H_4}$
c (c) ${v_{rms}} \propto \frac{1}{{\sqrt M }}$==> $\frac{{{v_1}}}{{{v_2}}} = \sqrt {\frac{{{M_2}}}{{{M_1}}}} $
$\therefore \,\frac{1}{{\sqrt 2 }} = \sqrt {\frac{{{M_2}}}{{32}}} \Rightarrow {M_2} = 16.$ Hence the gas is $C{H_4}.$
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