Two non-reactive monoatomic ideal gases have their atomic masses in the ratio `(2 : 3)`. The ratio of their partial pressure, 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

We know,
`Pm = dRT`
`:. (P_(1) m_(1))/(P_(2) m_(2)) = (d_(1))/(d_(2))` (At constant temperature)
`(4 xx 2)/(3 xx 3) = (d_(1))/(d_(2))`
`:. D_(1) : d_(2) = 8 : 9`