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(C) The root mean square $(R.M.S)$ velocity of gas molecules is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$.In an isothermal process,the te

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Will remain unchanged

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(C) The root mean square $(R.M.S)$ velocity 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 of the gas) are also constants,the $v_{rms}$ depends only on the temperature $T$.Because the temperature does not change during isothermal expansion,the root mean square velocity of the molecules will remain unchanged.

$A$ gas is allowed to expand isothermally. The root mean square velocity of the molecules

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