Calculate relative rates of effusion of `SO_(2)` to `CH_(4)` in the mixture obtained by effusing out a mixture with initial molar ratio`(n_(SO_(2)))/(n_(CH_(4)))=(8)/(1)` for three effusing steps.

Options

A. `2:1`
B. `1:4`
C. `1:2`
D. none of these

Answer

c

Explanation

(c) `overset((n_(SO_(2))^(3))/(3))((n_(CH_(4)))/(8//1))=((16)/(64))^(3//2)xx=(1)/(1),`
`(r_(SO_(2)))/(r_(CH_(4)))=(1)/(1).sqrt((16)/(64))=(1)/(2)`