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Question

The value of Kp1 and Kp2 for the reactions
Xy+z(1)
And A2B(2)
Are in the ratio of 9:1. If degree of dissociation of X and A be equal, then total pressure at Equilibrium (1) and (2) are in the ratio

 
  1. 36 : 1
  2. 1 : 9
  3. 1 : 1
  4. 3 : 1


Solution

The correct option is A 36 : 1
Suppose total pressure at equilibrium for reactions (1) and (2) are P1 and P2 respectively
Then XY+.Z
Initial 1 mole                         0               0 
At Equilibrium 1α   α   α
Total =1+α
Px=1α1+αP1,Py=α1+αP1
And Pz=α1+αP1
Kp1=(α1+αP1)21α1+αP1=α2P11α2=α2P1
A2B
Initial             1 mole          0
At Equilibrium 1α   2α
Total =1+α
Kp2=(2α1+αP2)21α1+αP2=4α21α2P2
=4α2p2
Kp1Kp2=α2P14α2P2=P14P2=91 (given)
Or, P1P2=361=36:1


 

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