In which of the following gases will the root | vedclass

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(B) The root mean square velocity $(V_{rms})$ of a gas is given by the formula: $V_{rms} = \sqrt{\frac{3RT}{M_W}}$.From this relation,it is clear that

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Carbon dioxide

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(B) The root mean square velocity $(V_{rms})$ of a gas is given by the formula: $V_{rms} = \sqrt{\frac{3RT}{M_W}}$.From this relation,it is clear that $V_{rms} \propto \frac{1}{\sqrt{M_W}}$,where $M_W$ is the molar mass of the gas.To have the minimum $V_{rms}$,the gas must have the maximum molar mass $(M_W)$.The molar masses are: $H_2 = 2 \ g/mol$,$O_2 = 32 \ g/mol$,and $CO_2 = 44 \ g/mol$.Since $CO_2$ has the highest molar mass among the given options,its root mean square velocity will be the minimum.

In which of the following gases will the root mean square velocity be minimum (at constant temperature)?

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