For which gas rms velocity will be maximum

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12.Kinetic Theory of Gases

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For which gas $rms$ velocity will be maximum

A

$H_2$

B

$He$

C

$N_2$

D

$O_2$

Solution

According to the kinetic energy molecular theory of gases, we have

$u_{r m s}=\sqrt{\frac{3 R T}{M}}$

At a given temperature,

$u_{r m s} \propto \sqrt{\frac{1}{M}}$

Thus, $H_{2}$ gas with the lowest molar mass the maximum $rms$ velocity.

Standard 11

Physics

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