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Two solids dissociates as follows A(s) r...

Two solids dissociates as follows
`A(s) rarr B(g) + C(g), K_(P_(1)) = x atm^(2)`
`D(s) rarr C(g) + E(g), K_(P_(2)) = y atm^(2)`
The total pressure when both the solids dissociate simultaneously is :

A

` sqrt( x + y)` atm

B

(x + y) atm

C

`x^(2) + y^(2)` atm

D

`2 ( sqrt( x + y))` atm

Text Solution

Verified by Experts

The correct Answer is:
D
`{:(A(s) hArr B(g) +,C(g),K_(P_(1))= x atm^(2)),(" "P_(1),P_(1)+P_(2),),(D(s) hArr C(g)+,E(g),K_(P_(2)) = y atm^(2)),(" "P_(1)+P_(2),P_(2),):}`
`K_(P_(1)) = P_(1) (P_(1) + P_(2))`
`K_(P_(2)) = P_(2) (P_(1) + P_(2))`
`K_(P_(1)) + K_(P_(2)) = (P_(1) + P_(2))^(2)`
`x + y = (P_(1) + P_(2))^(2)`
`P_(1) + P_(2) = sqrt( x + y)`
`2 (P_(1) + P_(2)) = 2 sqrt( x + y)`
`P_("Total") = P_(B) + P_(C) + P_(E)`
`= 2 (P_(1) + P_(2)) = 2 sqrt( x+ y)`
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