Among the following gases,which one has the l | vedclass

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(D) The root mean square velocity $(v_{rms})$ is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the gas constant,$T$ is the temper

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$Cl_2$

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(D) The root mean square velocity $(v_{rms})$ is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the gas constant,$T$ is the temperature in Kelvin,and $M$ is the molar mass of the gas.Since $v_{rms} \propto \frac{1}{\sqrt{M}}$,the gas with the highest molar mass will have the lowest root mean square velocity.The molar masses are: $SO_2 = 64 \ g/mol$,$N_2 = 28 \ g/mol$,$O_2 = 32 \ g/mol$,and $Cl_2 = 71 \ g/mol$.Since $Cl_2$ has the highest molar mass $(71 \ g/mol)$,it possesses the lowest root mean square velocity.Therefore,the correct option is $(D)$.

Among the following gases,which one has the lowest root mean square velocity at $25 \ ^oC$?

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