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 ratio 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`

Answer

3

Explanation

Using `PV=(w)/(m)RT" "or" "P=(d)/(m)RT`
For gas `A " "P_(A)=(3)/(m_(A))xxRxxT," "P_(a)=(1.5)/(m_(B))xxRxxT`
`:. " "(P_(A))/(P_(B))=(2xxm_(B))/(m_(A))=(2xx2xxm_(A))/(m_(A))=4`