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Under similar conditions which of the fo...

Under similar conditions which of the following gases will diffuse four times as quickly as oxygen ?

A

He

B

`H_(2)`

C

`N_(2)`

D

`D_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(r_(("gas")))/(r_((O_(2)))) = 4`
Molar mass of `O_(2) (M_(O_(2))) = 32`, Molar mass of gas `M_(("gas")) = ?`
According to Graham's law of diffusion.
`(r_(("gas")))/(r_((O_(2)))) = sqrt(M_((O_(2)))/(M_("gas")))` or `4 = sqrt((32)/(M_(("gas"))))`
Squaring both sides, `16 = (32)/(M_(("gas")))` or `M_(("gas")) = 32/16 = 2`.
`:.` The gas is hydrogen `(H_(2))`.
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