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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 2:1The ratio of the number of moles of SO2 to the number of moles of CH4 is n1n2=12.Here, 1 represents SO2 and 2 represents CH4.The rate of effusion is proportional to the ratio of pressure to the square root of molecular weight.r∝p√MThe rates of effusions of two gases are equal.p1√M1=p2√M2The number of moles are proportional to pressure.Hence, p1p2=√M1√M2=n1n2Thus, n1n2=√M1M2=√6416=2:1Option B is correct.

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