A gas `(1 g)` at `4` bar pressure. If we add `2 gm` of gas `B` then the total pressure inside the container is `6` bar. Which of the following is true?

Options

A. `M_(A)=2M_(B)`
B. `M_(B)=2M_(A)`
C. `M_(A)=4M_(B)`
D. `M_(B)=4M_(A)`

Answer

D

Explanation

`(n_(1))/(p_(1))=(n_(2))/(p_(2))`
`((1)/(M_(A)))/(4)=((1)/(M_(A))+(2)/(M_(a)))/(6)`
`(3)/(M_(A))=(2)/(M_(A))+(4)/(M_(B))`
`(3)/(M_(A))=(2)/(M_(A))+(4)/(M_(B))`
`(3)/(M_(A))=(4)/(M_(B))`
`M_(B)=4M_(A)`