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Question

The following equilibrium constants were determined at 1120 K:
2CO(g)C(s)+CO2(g); Kp1=1014 atm1
CO(g)+Cl2(g)COCl2(g);Kp2=6×103 atm1
What is the equilibrium constant KP for the following reaction at same temperature?
C(s)+CO2(g)+2Cl2(g)2COCl2(g)

A
6×108 atm1
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B
36×1011 atm1
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C
36×108 atm1
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D
6×1011 atm1
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Solution

The correct option is C 36×108 atm1
2CO(g)C(s)+CO2(g); Kp1=1014 atm1
Therefore,
C(s)+CO2(g)2CO(g) ......(1)
Kp3=1014 atm
CO(g)+Cl2(g)COCl2(g);Kp2=6×103 atm1
Therefore,
2CO(g)+2Cl2(g)2COCl2(g) ......(2)
Kp4=(6×103)2 atm2
Add (1) and (2)
C(s)+CO2(g)+2Cl2(g)2COCl2(g);
Kp=1014×36×106
Kp=36×108 atm1

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