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Question

The equilibrium constants, Kp1 and Kp2 for the reactions X2Y and ZP+Q respectively are in the ratio of 1:9. If the degree of dissociation of X and Z be equal, then the ratio of total pressures at this equilibrium is:

A
1:1
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B
1:3
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C
1:9
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D
1:36
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Solution

The correct option is C 1:36
let the initial pressure of X and Z be P1 and P2 respectively

X2Y

P1(1α)2P1α

K1=4P1α21α

ZP+Q

P2(1α)P2αP2α

K2=P2α21α

K1K2=4P1P2=19

P1P2=136

ratio of total pressures =P1(1+α)P2(1+α)=P1P2=136

So, the correct option is D

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