The ratio among most probable velocity,mean v | vedclass

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Question

(D) The formulas for the three types of molecular velocities are: Most probable velocity $(V_{mp})$ = $\sqrt{\frac{2RT}{M}}$ Mean velocity $(V_{avg})$

Vedclass · Accepted Answer

$\sqrt{2} : \sqrt{8/\pi} : \sqrt{3}$

Vedclass · Answer

(D) The formulas for the three types of molecular velocities are: Most probable velocity $(V_{mp})$ = $\sqrt{\frac{2RT}{M}}$ Mean velocity $(V_{avg})$ = $\sqrt{\frac{8RT}{\pi M}}$ Root mean square velocity $(V_{rms})$ = $\sqrt{\frac{3RT}{M}}$ Taking the ratio $V_{mp} : V_{avg} : V_{rms}$: $= \sqrt{\frac{2RT}{M}} : \sqrt{\frac{8RT}{\pi M}} : \sqrt{\frac{3RT}{M}}$ Dividing by $\sqrt{\frac{RT}{M}}$,we get: $= \sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$ Thus,the correct option is $(D)$.

The ratio among most probable velocity,mean velocity and root mean square velocity is given by

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