Which of the following has maximum root mean square velocity at the same temperature

$SO_2$

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$CO_2$

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$O_2$

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$H_2$

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Solution

The correct option is D
$H_2$

$V_{r m s} = \sqrt{\frac{3 R T}{M}} ∴ V_{r m s} α \frac{1}{\sqrt{M}}$ at same T

because $H_{2}$ has least molecular weight so its r.m.s velocity should be maximum.

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