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Two gases A and B present separately in ...

Two gases A and B present separately in two vessels X and Y at the same temperature and pressure with molecular weights M and 2M respectively are effused out. The orifice in vessel X is circular while that in Y is a square. If the radius of the circular orifice is equal to that the length of the square orifice, the ratio of rates of effusion of gas A to that of gas B is

A

`pi sqrt(2)`

B

`sqrt(pi/2)`

C

`2 pi`

D

`sqrt(2/pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
`gamma alpha A/(sqrt(M)) , (gamma_x)/(gamma_y) = (pi r^2)/(r^2) xx sqrt((2M)/(M)) = sqrt(2) pi`
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