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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

96

B

20.25

C

32

D

64

Text Solution

Verified by Experts

The correct Answer is:
B
`r_(A)=50/150, r_(B)=50/200, r_(A)//r_(B)=50/150xx200/50`
`=200/150=sqrt(M_(B)/M_(A))`
Squaring both sides,
`(200xx250)/(150xx150)=36/M_(A)`
`M_(A)=(36xx150xx150)/(200xx200)=21.25`
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