The ratio of average velocity to most probabl | vedclass

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Question

(A) The formula for average velocity $(v_{avg})$ is $\sqrt{\frac{8RT}{\pi M}}$.The formula for most probable velocity $(v_{mp})$ is $\sqrt{\frac{2RT}{

Vedclass · Accepted Answer

$1.128$

Vedclass · Answer

(A) The formula for average velocity $(v_{avg})$ is $\sqrt{\frac{8RT}{\pi M}}$.The formula for most probable velocity $(v_{mp})$ is $\sqrt{\frac{2RT}{M}}$.The ratio is $\frac{v_{avg}}{v_{mp}} = \frac{\sqrt{\frac{8RT}{\pi M}}}{\sqrt{\frac{2RT}{M}}} = \sqrt{\frac{8RT}{\pi M} 	imes \frac{M}{2RT}} = \sqrt{\frac{4}{\pi}} = \sqrt{1.273} \approx 1.128$.Therefore,the ratio is $1.128 : 1$.

The ratio of average velocity to most probable velocity is

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