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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 2:1Rate of effusion for a gas (r)∝P√M, where P is pressure and M is molar mass of gas. Since the rate of effusion for both gases is equal so, P1√M1=P2√M2 ⇒P1P2=√M1√M2 During effusion all conditions are identical so Pressure of gas (P)∝Moles of gas(n)∝Molecules of gas(N) =N1N2⇒NSO2NCH4=√MSO2MCH4=√6416=21

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