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50 mL of each gas A and of gas B takes 1...

50 mL of each gas A and of gas B takes 150 and 200 s respectively for effusing through a pin hole under the similar conditions. If molecular mass of gas B is 36, the molecular mass of gas A will be

A

32

B

64

C

96

D

128

Text Solution

Verified by Experts

The correct Answer is:
B
`(r_(1))/(r_(2))=sqrt((M_(w_(2)))/(M_(w_(1))))`
`(V_(1))/(t_(1))xx(t_(2))/(V_(2))=sqrt((M_(w_(2)))/(M_(w_(1))))`
`(50)/(150)xx(200)/(50)=sqrt((36)/(M_(w_(1))))`
`(4)/(3)=sqrt((36)/(M_(w_(1))))`
`(16)/(9)=(36)/(M_(w_(1)))`
`M_(w_(1))=(36xx9)/(16)=20.25`
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