At room temperature,the rms speed of a gas is | vedclass

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

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$V_1 = V_2$

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(C) The root mean square $(rms)$ speed of a gas molecule 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 $V_{rms} \propto \sqrt{T}$.Since the temperature $T$ remains constant (room temperature),the $rms$ speed depends only on the temperature and the nature of the gas.Changing the pressure of the gas at a constant temperature does not affect the $rms$ speed of the gas molecules.Therefore,$V_1 = V_2$.

At room temperature,the $rms$ speed of a gas is $V_1$. If the pressure of the gas is doubled at the same room temperature,the $rms$ speed becomes $V_2$. Then:

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