Among the following, which should have the highest r.m.s. speed at the same temperature?

S O_{2}

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C O_{2}

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O_{2}

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H_{2}

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Solution

The correct option is D $H_{2}$
$H_{2}$ should have the highest r.m.s. speed at the same temperature.
$V_{r m s} = \sqrt{\frac{3 R T}{M}}$
$V_{r m s} \propto \frac{1}{\sqrt{M}}$
The gas with least molecular mass will have highest r.m.s. speed at the same temperature.
and Molecular mass of $H_{2}$ is least.

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