The ratio of most probable velocity (u_{mp}), | vedclass

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Question

(A) The expressions for the three types of molecular velocities are as follows:Most probable velocity $(u_{mp})$ = $\sqrt{\frac{2RT}{M}}$Average veloc

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) The expressions for the three types of molecular velocities are as follows:Most probable velocity $(u_{mp})$ = $\sqrt{\frac{2RT}{M}}$Average velocity $(u_{av})$ = $\sqrt{\frac{8RT}{\pi M}}$Root mean square velocity $(u_{rms})$ = $\sqrt{\frac{3RT}{M}}$Taking the ratio $u_{mp} : u_{av} : u_{rms}$:$= \sqrt{\frac{2RT}{M}} : \sqrt{\frac{8RT}{\pi M}} : \sqrt{\frac{3RT}{M}}$$= \sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$

The ratio of most probable velocity $(u_{mp})$,average velocity $(u_{av})$,and root mean square velocity $(u_{rms})$ is:

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