Which of the following gases has the maximum | vedclass

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(D) The root mean square $(R.M.S.)$ velocity of a gas is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$.At a constant temperature $(T)$,the $v

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Carbon monoxide $(CO)$

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(D) The root mean square $(R.M.S.)$ velocity of a gas is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$.At a constant temperature $(T)$,the $v_{rms}$ is inversely proportional to the square root of the molar mass $(M)$: $v_{rms} \propto \frac{1}{\sqrt{M}}$.Therefore,the gas with the lowest molar mass will have the maximum $R.M.S.$ velocity.Molar masses are:$O_2 = 32 \, g/mol$$CO_2 = 44 \, g/mol$$SO_2 = 64 \, g/mol$$CO = 28 \, g/mol$Since $CO$ has the lowest molar mass $(28 \, g/mol)$,it will have the maximum $R.M.S.$ velocity.

Which of the following gases has the maximum $R.M.S.$ velocity at $25,^{\circ}C$?

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