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(D) The root mean square speed $(u_{rms})$ of a gas is given by the formula: $u_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,

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$H_2$

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(D) The root mean square speed $(u_{rms})$ of a gas is given by the formula: $u_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the temperature,and $M$ is the molar mass of the gas.Since $R$ and $T$ are constant,$u_{rms} \propto \frac{1}{\sqrt{M}}$.This means the gas with the lowest molar mass will have the highest root mean square speed.The molar masses are: $M(SO_2) = 64 \ g/mol$,$M(CO_2) = 44 \ g/mol$,$M(O_2) = 32 \ g/mol$,and $M(H_2) = 2 \ g/mol$.Since $H_2$ has the lowest molar mass,it will have the highest $u_{rms}$.

At the same temperature,which of the following gases will have the highest root mean square speed?

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