the rate of diffusion of hydrogen is root 20 times the rate of diffusion of a sample containing oxygen and ozone . the percentage(by moles) of oxygen in the sample is

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Solution

$A c c o r d i n g t o G r a h a m' s l a w o f d i f f u s i o n \frac{r_{1}}{r_{2}} = \sqrt{\frac{M_{2}}{M_{1}}} \frac{r_{1_{H_{2}}}}{r_{2_{O_{2} + O_{3}}}} = \sqrt{\frac{{M_{2}}_{_{O_{2} + O_{3}}}}{{M_{1}}_{H_{2}}}} = \sqrt{\frac{M o l e s o f H_{2}}{M o l e s o f m i x t u r e o f o x y g e n a n d o z o n e}} \frac{\sqrt{20} r_{2}}{r_{2}} = \sqrt{\frac{32 + 48}{2}} \frac{\sqrt{20}}{\sqrt{40}} = \sqrt{\frac{M o l e s o f H_{2}}{M o l e s o f m i x t u r e o f o x y g e n a n d o z o n e}} \frac{1}{2} = \frac{M o l e s o f H_{2}}{M o l e s o f m i x t u r e o f o x y g e n a n d o z o n e} T h e r a t i o o f m o l e s c a n b e c a l u c l a t e d .$

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