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(D) The $rms$ velocity $(v_{rms})$ is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$.Since $v_{rms} \propto \sqrt{\frac{1}{M}}$, the gas with t

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$H_{2}$

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(D) The $rms$ velocity $(v_{rms})$ is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$.Since $v_{rms} \propto \sqrt{\frac{1}{M}}$, the gas with the smallest molar mass $(M)$ will have the highest $rms$ speed at a constant temperature.The molar masses are: $SO_{2} = 64 \ g/mol$, $CO_{2} = 44 \ g/mol$, $O_{2} = 32 \ g/mol$, and $H_{2} = 2 \ g/mol$.Since $H_{2}$ has the minimum molar mass, it has the highest $rms$ speed.

Amongst the following, which should have the highest $rms$ speed at the same temperature?

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