The ratio of rates of diffusion of gases A and B is 1 : 0.707. IF the molecular weight of B is 32, the molecular weight of A is

Options

A. 2
B. 64
C. 16
D. 8

Answer

D

Explanation

Rate of diffusion is inversely proportional to the square root of molecular weight.
i.e., `R prop (1)/(sqrt(M))`
`:. (R_(A))/(R_(B)) = sqrt((M_(B))/(M_(A)))`
`(1)/(0.707) = sqrt((32)/(M_(A)))`
`(1)/(0.499849) = (32)/(M_(A))`
`M_(A) = 15.99 ~~ 16`