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The rate of effusion of helium gas at a pressure of 1000 torr is 10 torr $\min^{- 1}$ . What will be the rate of effusion of hydrogen gas at a pressure of 2000 torr at the same temperature?

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20 torr $\min^{- 1}$

40 torr $\min^{- 1}$

$20 \sqrt{2} torr$ $\min^{- 1}$

10 torr $\min^{- 1}$

answer is C.

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Detailed Solution

Here, we have;

$\frac{r}{10} = \frac{2000}{1000} \sqrt{\frac{4}{2}}$

$r = 20 \sqrt{2} torr$ $\min^{- 1}$ .

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