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Q.

One liter of gaseous mixture of ${CH}_{4}$ and $H_{2}$ effuse in 200 seconds while one liter of gas 'X takes 10 minutes to effuse in identical conditions. If molar ratio of ${CH}_{4} : H_{2}$ in mixture is 1 : 2. Find molar mass of gas 'X ' in (g/mol) units?

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a

60

b

20

c

40

d

30

answer is D.

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Detailed Solution

Molar mass can be given as;

$\begin{array}{l} M_{mix} = \frac{1 \times 16 + 2 \times 2}{3} \Rightarrow \frac{200}{600} = \sqrt{\frac{\frac{20}{3}}{M}} \\ M = 60 \end{array}$

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