• # question_answer 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)  HeC)  $C{{H}_{4}}$               D)  $S{{O}_{2}}$

${{V}_{rms}}\propto \sqrt{\frac{T}{{{M}_{\infty }}}}$ ${{V}_{rms}}=\sqrt{2}\,{{({{V}_{rms}})}_{{{O}_{2}}}}$ $\sqrt{\frac{T}{{{M}_{\infty }}}}=\sqrt{2}\,\sqrt{\frac{T}{32}}$ ${{M}_{w}}=16\,gm$ so gas is $C{{H}_{4}}$