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Maxwell's Distribution of Speeds

At STP, the...

Question

At $S T P$ , the order of mean square velocity of molecules of $H_{2}, N_{2}, O_{2}$ and $H B r$ is

A

H_{2} > N_{2} > O_{2} > H B r

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B

H B r > O_{2} > N_{2} > H_{2}

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C

H B r > H_{2} > O_{2} > N_{2}

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D

N_{2} > O_{2} > H_{2} > H B r

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Solution

The correct option is A $H_{2} > N_{2} > O_{2} > H B r$
As we know,
$μ_{r m s} = \sqrt{\frac{3 R T}{M}}$
$μ_{r m s} \propto \sqrt{\frac{1}{M}}$
Hence, $H_{2} > N_{2} > O_{2} > H B r$

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