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(A) 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 constan

Vedclass · Accepted Answer

$V$

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(A) 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.Since the rms speed depends only on the temperature $T$ and the molar mass $M$ of the gas,it is independent of the pressure $P$ of the gas.Given that the temperature remains constant,the rms speed will remain unchanged even if the pressure is increased.Therefore,the new rms speed will be $V$.

The rms speed of a gas molecule is $V$ at pressure $P$. If the pressure is increased by two times,then the rms speed of the gas molecule at the same temperature will be

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