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Question

The following equilibrium constants were determined at 1120K:
2CO(g)C(s)+CO2(g);Kp1=1014atm1
CO(g)+Cl2(g)COCl2(g);Kp2=6×103atm1

What is the equilibrium constant Kc for the following reaction at 1120K?

C(s)+CO2(g)+2Cl2(g)2COCl2(g)

A
3.31×1011M1
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B
5.5×1010M1
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C
5.51×106M1
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D
None of these
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Solution

The correct option is A 3.31×1011M1
2CO(g)C(s)+CO2(g);Kp1=1014atm1 so for reverse reaction:
C(s)+CO2(g)2CO(g);Kp=1/1014atm1=1014
CO(g)+Cl2(g)COCl2(g);Kp2=6×103atm1 so for
2CO(g)+2Cl2(g)2COCl2(g);Kp′′=6×1032=36×106 so for
C(s)+CO2(g)+2Cl2(g)2COCl2(g)
Kp=Kp×K′′p=36×108 and Kc=KpRT=3.31×1011.

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