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(B) The root mean square speed of a gas is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the ab

Vedclass · Accepted Answer

$v_{rms}(	ext{mono}) > v_{rms}(	ext{dia}) > v_{rms}(	ext{poly})$

Vedclass · Answer

(B) The root mean square speed of a gas is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since $T$ is the same for all three vessels,$v_{rms} \propto \frac{1}{\sqrt{M}}$.The molar masses are:Neon (monoatomic): $M_1 \approx 20 	ext{ g/mol}$.Chlorine (diatomic): $M_2 \approx 71 	ext{ g/mol}$.Uranium hexafluoride (polyatomic): $M_3 \approx 352 	ext{ g/mol}$.Since $M_1  \frac{1}{\sqrt{M_2}} > \frac{1}{\sqrt{M_3}}$.Therefore,$v_{rms}(	ext{mono}) > v_{rms}(	ext{dia}) > v_{rms}(	ext{poly})$.

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