Calculate relative rate of effusion of `O_(2)` to `CH_(4)` through a container containing `O_(2)` and `CH_(4)` in 3:2 mass ratio:

Options

A. `(3sqrt(2))/(4)`
B. `(3sqrt(2))/(8)`
C. `(3)/(2sqrt(2))`
D. `(3sqrt(2))/(2)`

Explanation

`(r_(o_(2)))/(r_(CH_(4)))=(n_(o_(2)))/(n_(CH_(4)))=sqrt((M_(CH_(4)))/(M_(O_(2))))`
`=(3)/((2)/(2))=sqrt((16)/(32))`
`=(3)/(4sqrt(2))`