Among the following gases which one has the lowest root mean square speed at $25^{o} C$ .

{S O}_{2}

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N_{2}

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O_{2}

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{C l}_{2}

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Solution

The correct option is A ${S O}_{2}$
$V_{r m s} = \sqrt{\frac{3 R T}{M}}$
∴ $V_{r m s} α \frac{1}{\sqrt{M}}$ at same $T$
because $S O_{2}$ has maximun molecular weight so its r.m.s. velocity should be lowest.
So option $A$ is correct

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