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Question

SO2 and CH4 are introduced in a vessel in the molar ratio 1:2 . The ratio of molecules of two gases present in the container when their rate of effusion becomes equal is :

A
1:2
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B
2:1
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C
4:1
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D
1:4
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Solution

The correct option is B 2:1
Rate of effusion for a gas (r)PM, where P is pressure and M is molar mass of gas.
Since the rate of effusion for both gases is equal so,
P1M1=P2M2
P1P2=M1M2
During effusion all conditions are identical so Pressure of gas (P)Moles of gas(n)Molecules of gas(N)
=N1N2NSO2NCH4=MSO2MCH4=6416=21

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