Two separate bulbs contain ideal gas `A` and `B`. The density of a gas `A` is twice that of a gas `B`. The molecular mass of `A` is half that of gas `B`. The two gases are at the same temperature. The ratio of the pressure of `A` to that gas `B` is

Options

A. 2
B. `1//2`
C. 4
D. `1//4`

Answer

C

Explanation

`p_(A) = (d_(A) (RT))/(M_(A)), p_(B) = (d_(B) (RT))/(M_(B))`
Now `(p_(A))/(p_(B)) = (d_(A))/(d_(B)) xx (M_(B))/(M_(A)) = (2)/(1) xx (2)/(1) = (4)/(1)`