Which of the following gases has the highest | vedclass

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(A) The root mean square $(RMS)$ velocity of a gas is given by the formula $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for

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$CH_{4}$

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(A) The root mean square $(RMS)$ velocity of a gas is given by the formula $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for all gases at a given temperature,the $RMS$ velocity is inversely proportional to the square root of the molar mass,i.e.,$v_{	ext{rms}} \propto \frac{1}{\sqrt{M}}$.Comparing the molar masses $(M)$:$CH_{4} = 16 \ g/mol$$CO = 28 \ g/mol$$Cl_{2} = 71 \ g/mol$$CO_{2} = 44 \ g/mol$Since $CH_{4}$ has the lowest molar mass,it will have the highest $RMS$ velocity.

Which of the following gases has the highest value of $RMS$ velocity at $298 \ K$?

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