A `V dm^(3)` flask contains gas `A` and another flask of `2V dm^(3)` contains gas `B` at the same temperature If density of gas `A` is `3.0gdm^(-3)` and of gas `B` is `1.5g dm^(-3)` and mo1 wt of `A =1//2` wt pf `B` then the ration of pressure exerted by gases is .

Options

A. `(P_(A))/(P_(B)) =2`
B. `(P_(A))/(P_(B)) =1`
C. `(P_(A))/(P_(B)) =4`
D. `(P_(A))/(P_(B)) =3`

Explanation

Using `PV =(w)/(m) RT` or `P = (d)/(m) RT`
For gas `A, P_(A) = (3)/(m_(A)) xx R xx T ` and
`P_(B) = (1.5)/(m_(B)) xx R xx T`
`:. (P_(A))/(P_(B)) = (2xxm_(B))/(m_(A)) = (2 xx 2 xx m_(A))/(m_(A)) =4` .