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Two containers A and B have the same vol...

Two containers A and B have the same volume. Container 'A' contains 5 mole oxygen gas. Container 'B' contains 3 moles He gas and 2 mole `CH_4` gas. Both the containers are separately kept in vaccum at the same temperature. Both the containers have very small orifices of the same area through which the gases leak out. The rate of diffusion of `O_2` is how many times the rate of diffusion of He and `CH_4` mixture

A

`sqrt((8.8)/(32))`

B

`sqrt((7)/(32))`

C

`3/2 sqrt((8.8)/(32))`

D

`sqrt((32)/(8.8))`

Text Solution

Verified by Experts

`M_("mix") = (3 xx 4 + 2 xx 16)/(5) = 44/5 = 8.8`.
`(r_(O_2))/(r_("mix")) = sqrt((M_("mix.))/(32)) = sqrt((8.8)/(32))`.
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