Two solid compounds X and Y dissociates at a certain temperature as follows
`X(s) hArr A(g)+2B(g),K_(p1)=9xx10^(-3)atm^(3)`
`Y(s) hArr 2B(g)+C(g),K_(p2)=4.5xx10^(-3)atm^(3)`
The total pressure of gases over a mixture of X and Y is `:`

Options

A. 4.5` atm
B. `0.45` atm
C. `0.6` atm
D. None of these

Answer

B

Explanation

Let `x` is partial pressure of `A` and `y` is partial pressure oc `C` when both equilibrium simultaneously established in a vessel
`{:(X(s),hArr,underset(x)(A(g)),+,underset((2x+2y),)(2B(g))),(Y(s),hArr,underset(y)(C(g)),+,underset((2y+2x),,)(2B(g))):}`
` (K_(p_(1))/(K_(p_(2)))=(x)/(y) rArrx=2y`
`K_(p_(1)=x(2x+2y)^(2)`
`rArr x=0.1` atm,
`therefore y=0.05` atm
Total pressure of gases`=P_(A)+P_(B)+P_(C)`
`=3(x+y)`
`=0.45atm.