Chemical EquilibriumHard

Question

For the reaction X ⇋  2Y and Z ⇋ P + Q  occuring at two different pressure P1 and P2, respectively. The ratio of the two pressure is 1 : 3. What will be the ratio of equilibrium constant, if the degree of dissociation of X and Z are equal.

Options

A.1 : 36
B.1 : 12
C.1 : 9
D.2 : 3

Solution

for reaction        X      ⇋    2Y
Initial                  1              0
At equilibrium     1 - α        2α
Total moles = 1 - α + 2α = 1 + α
Px = P1;                    PY = P1
∴ Kp1 =         ..... (ii)
Similarly for         X     ⇋   P   +    Q
Initial                    1           0        0
At equilibrium    1 - α        2α        α
Total moles = 1 - α + α + α = 1 + α
PZ = P2; PQ = P2; PP =
Kp2 =          ...... (i)
Dividing equations (i) and (ii), we get,
(given)
∴ 

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