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  4. The ratio of root mean square velocities of O3 and O2 is

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Q. The ratio of root mean square velocities of $ O_3$ and $O_2$ is

Kinetic Theory

Solution:

$ v_{ rms } = \sqrt{ \frac{ 3RT }{ M}} $
$ \frac{ (v_{ rms}) O_3 }{ ( v_{ rms}) O_2 } = \sqrt{ \frac{ M_{ O_2 }}{ M_{ O_3 }}} = \sqrt{ \bigg( \frac{ 32 }{ 48} \bigg)}$
= $ \sqrt 2 : \sqrt 3 $