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(C) The root mean square $(rms)$ speed of gas molecules is given by the formula $V_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas consta

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$90 	imes 10^2 \ m/s$

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(C) The root mean square $(rms)$ speed of gas molecules is given by the formula $V_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.From this formula,it is clear that $V_{rms}$ depends only on the temperature $T$ and the nature of the gas (molar mass $M$).It does not depend on the pressure,volume,or the amount (mass or number of moles) of the gas present in the vessel.Since the temperature remains constant and the gas composition does not change,the $rms$ speed of the remaining molecules will remain the same as the initial $rms$ speed.Therefore,the $rms$ speed remains $90 	imes 10^2 \ m/s$.

The $rms$ speed of air molecules in a vessel is $90 \times 10^2 \ m/s$. If half of the gas leaks out at constant temperature,the $rms$ speed of the remaining air molecules will be

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