At 27,^{circ}C, the ratio of root mean square | vedclass

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(C) The root mean square speed $(u_{rms})$ is given by the formula $u_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for both gases at t

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$\sqrt{2/3}$

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(C) The root mean square speed $(u_{rms})$ is given by the formula $u_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for both gases at the same temperature,$u_{rms} \propto \frac{1}{\sqrt{M}}$.The molar mass of ozone $(O_3)$ is $M_{O_3} = 3 	imes 16 = 48 \, g/mol$.The molar mass of oxygen $(O_2)$ is $M_{O_2} = 2 	imes 16 = 32 \, g/mol$.Therefore,the ratio of the root mean square speeds is $\frac{u_{O_3}}{u_{O_2}} = \sqrt{\frac{M_{O_2}}{M_{O_3}}} = \sqrt{\frac{32}{48}} = \sqrt{\frac{2}{3}}$.

At $27\,^{\circ}C,$ the ratio of root mean square speeds of ozone to oxygen is :-

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