Two non-reactive monoatomic ideal gases have their atomic masses in the ratio `2:3`. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is `4:3`. The ratio of their densities is

Options

A. `1:4`
B. `1:2`
C. `6:9`
D. `8:9`

Answer

D

Explanation

`P=(rho)/(M)RT implies (P_(1))/(P_(2))= (rho_(1)M_(2))/(rho_(2)M_(1)) = (4)/(3)`
`implies (rho_(1))/(rho_(2)) = (4)/(3)xx(2)/(3) = (8)/(9)`