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  4. At a certain temperature, the rms velocity for O 2 is 400 ms -1. At the same temperature, the rms velocity for H 2 molecules will be

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Q. At a certain temperature, the rms velocity for $O _{2}$ is $400\, ms ^{-1}$. At the same temperature, the rms velocity for $H _{2}$ molecules will be

Kinetic Theory

Solution:

$\frac{ C _{ H _{2}}}{ C _{ O _{2}}}=\sqrt{\frac{32}{2}}=4$
or $C _{ H _{2}}=4 \times C _{ O _{2}}$
$=4 \times 400\, ms ^{-1}=1600\, ms ^{-1}$