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Q.

Two vessels having equal volume contain molecular hydrogen at one atmospheric and helium at two atmospheric pressure respectively. If both samples are at the same temperature the mean velocity of hydrogen molecule is:

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a

equal to that of helium

b

half that of helium

c

twice that of helium

d

$\sqrt{2}$ times that of helium

answer is D.

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Detailed Solution

$u_{AV G} \propto \sqrt{[\frac{T}{M}]} \frac{u_{H_{2}}}{u_{He}} = \sqrt{\frac{M_{He}}{M_{H_{2}}}} = \sqrt{\frac{4}{2}} = \sqrt{2}$

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