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Two solid compounds X and Y dissociates ...

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 `:`

A

`4.5 atm`

B

`0.45 atm`

C

`0.6 atm`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

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