Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is

Answer

`00.38`

Explanation

Pressure exerted by gas `P=(1)/(3) rho c^(2)`
But `c= sqrt((3RT)/(M))`
`:.P=(rhoRT)/(M) rArr M=(rhoRT)/(P)`
As, T is constant,
`(M_(A))/(M_(B))=(rho_(A)P_(B))/(rho_(B) P_(A)) =(1.5) xx ((1)/(4))`
`:. (M_(A))/(M_(B))=(3)/(8) =0.375 ~~0.38`