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Question

# Calculate relative rate of effusion of SO2 to CH4 under given condition:( i ) Under similar condition of pressure & temperature( ii ) Through a container containing SO2 and CH4 in 3 : 2 mass ratio( iii ) If the mixture obtained by effusing out a mixture (nSO2/nCH4=8/1) for three effusing steps.

A
( i ) 12 ( ii ) 316 ( iii ) 12
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B
( i ) 14 ( ii ) 38 ( iii ) 14
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C
( i ) 16 ( ii ) 516 ( iii ) 12
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D
None of these
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Solution

## The correct option is A ( i ) 12 ( ii ) 316 ( iii ) 12The relative rate of effusion is inversely proportional to the square root of molar mass.It is directly proportional to the number of moles .The molar masses of sulphur dioxide and methane are 64 g/mol and 16 g/mol respectively.(i) Under similar condition of pressure & temperaturerSO2rCH4=√MCH4MSO2=√1664=12( ii ) Through a container containing SO2 and CH4 in 3 : 2 mass ratiorSO2rCH4=√nSO2MCH4nCH4MSO2=  ⎷364×16216×64=316( iii ) If the mixture obtained by effusing out a mixture (nSO2/nCH4=8/1) for three effusing steps.rSO2rCH4=√MCH4MSO2=√1664=12

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