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Hydrogen diffuses six times faster than ...

Hydrogen diffuses six times faster than gas `A`. The molar mass of gas `A` is

A

`36`

B

`72`

C

`24`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
B
According to Graham's law,
`r prop sqrt((1)/(M))` (at constant `T` and `P`)
`:. (r_(H_(2)))/(r_(A)) = sqrt((M_(A))/(M_(H_(2))))`
Since `r_(H_(2)) = 6 r_(A)`
`sqrt((M_(A))/(M_(H_(2)))) = 6`
or `(M_(A))/(M_(H_(2))) = 36` or `M_(A) = 36.M_(H_(2)) = (36)(2)`
`= 72 g mol^(-1)`
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