The time taken for effusion of 64 mL of oxygen will be same as the time taken for the effusion of which of the following gases under identical conditions?

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64 mL of $H_{2}$

100mL of $N_{2}$

45.24mL of ${SO}_{2}$

64mL of ${CO}_{2}$

answer is D.

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Detailed Solution

$\frac{r_{1}}{r_{2}} = \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}} \frac{64}{v_{2}} = \sqrt{\frac{64}{32}} v_{2} = \frac{64}{\sqrt{2}} = 45.25 mL$

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