A `4 : 1` mixture of helium and methane contained in a vessel at 10 bar pressure. During a hole in the vessel, the gas mixture leaks out. The composition of the mixture effusing out initially is

Options

A. `8 : 1`
B. `8 : 3`
C. `4 : 1`
D. `1 : 1`

Answer

A

Explanation

`(r(He))/(r(CH_(4))) = sqrt((M_(CH_(4)))/(M_(He))) = sqrt((16)/(4)) = 2`
Initital composition of mixture,
`He : CH_(4) :: 4 : 1`
Composition of mixture effusing out ,
`He : CH_(4) :: 4 xx 2 : 1 " or " 8 : 1`