Two vessel separately contains 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

Options

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

Answer

C

Explanation

`P_(A)=2P_(B)`
`rho_(A)=1.5rhoa`
`(M_(A))/(M_(B))=?`
`because(P)/(rho)=(RT)/(M_(0))impliesM_(0)=(rhoRT)/(P)`
`R,T=`const.
`M_(0)prop(rho)/(P)`
`implies(M_(A))/(M_(B))=(rho_(A))/(rho_(B))xx(P_(B))/(P_(A))`
`=1.5xx(1)/(2)`
`=0.75=3//4`