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X mL of H(2) gas effuses through a hole ...

`X mL` of `H_(2)` gas effuses through a hole in a container in `5 s`. The time taken for the effusion of the same volume of the gas specified below, under identical conditions, is

A

`10 s`, `He`

B

`20 s`, `O_(2)`

C

`25 s`, `CO`

D

`55 s`, `CO_(2)`

Text Solution

Verified by Experts

For the same volume diffused,
`t prop M` (Graham' s law)
`(t_(1))/(t_(2))=sqrt((M_(1))/(M_(2))`
(`a`) `(5)/(10)!=sqrt((2)/(4))`
(`b`) `(5)/(20)=sqrt((2)/(32))`
(`c`) `(5)/(25)!=sqrt((2)/(28))`
(`d`) `(5)/(55)!=sqrt((2)/(44))`
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