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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 degree of dissociation of X and Z be equal then the ratio if total pressures at these equlibria is

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

The correct option is B 1:36
X2Y, ZP+ Q
Initial moles 1 0 1 0 0
at equilibrium 1α 2α 1α α α
Kp1=P2YPX=(2α1+αP1)2(1α1+αP1)
Kp2=PPPQPZ=(α1+αP2)(α1+αP2)1α1+αP2)...(i)
KP1=4α2P11α2...(ii)
Given,
KP1KP2=19...(iii)
Substituting values from equation (i) and (ii) into (iii), we get
4α2P11α2α2P21α2=19
4P1P2=19
P1P2=136


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