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(A) The expressions for the velocities are as follows: Most probable velocity $(\alpha) = \sqrt{\frac{2RT}{M}}$ Average velocity $(v) = \sqrt{\frac{8R

Vedclass · Accepted Answer

$\alpha : v : u :: 1 : 1.128 : 1.224$

Vedclass · Answer

(A) The expressions for the velocities are as follows: Most probable velocity $(\alpha) = \sqrt{\frac{2RT}{M}}$ Average velocity $(v) = \sqrt{\frac{8RT}{\pi M}}$ Root mean square velocity $(u) = \sqrt{\frac{3RT}{M}}$ Taking the ratio $\alpha : v : u$: $\sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$ Dividing by $\sqrt{2} \approx 1.414$: $1 : \sqrt{\frac{4}{\pi}} : \sqrt{1.5}$ $1 : 1.128 : 1.224$

What is the relationship between the average velocity $(v)$,root mean square velocity $(u)$,and most probable velocity $(\alpha)$?

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