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(D) The $r.m.s.$ speed of gas molecules is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$.In an isothermal process,the temperature $T$ of the

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remain unchanged

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(D) The $r.m.s.$ speed of gas molecules is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$.In an isothermal process,the temperature $T$ of the gas remains constant.Since $R$ (universal gas constant) and $M$ (molar mass) are also constants,the $r.m.s.$ speed $v_{rms}$ depends only on the temperature $T$.Because the temperature does not change during an isothermal compression,the $r.m.s.$ speed of the molecules will remain unchanged.

$A$ perfect gas of volume $5 \ L$ is compressed isothermally to a volume of $1 \ L$. The $r.m.s.$ speed of the molecules will

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