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Q.

A vessel contains equal volumes of SO2 and CH4. Through a small hole, the gases effused into vacuum. After 200sec, the total volume is reduced to half. What is the ratio of SO2 and CH4 remaining in the vessel?

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a

1 : 2

b

2 : 1

c

1 : 1

d

1 : 4

answer is B.

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Detailed Solution

Ratio of rates of diffusions of SO2 & CH4 =  1:2Moles ratio diffused  = 1:2Moles diffused   ∝ Volume diffusedLet total volume diffused =  2 + 1 = 3Volume of CH4 not diffused = 3 - 1 = 2 Volume of SO2 not diffused = 3 - 2 = 1Required ratio   = 2 : 1
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