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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