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Question

Given, 2CO(g)C(s)+CO2(g);Kp1=1014atm1 at 1120 K
CO(g)+Cl2(g)COCl2(g);Kp2=6×103atm1
The value of Kc for the following reaction at 1120 K will be?
C(s)+CO2(g)+2Cl2(g)2COCl2(g)

A
5.51×106M1
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B
5.5×1010M1
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C
3.31×1011M1
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D
4.35×108M1
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Solution

The correct option is C 3.31×1011M1
(1) 2CO(g)C(s)+CO2(g);Kp1=1014atm1 at 1120 K
(2) CO(g)+Cl2(g)COCl2(g);Kp2=6×103atm1
Multiply equation (2) with 2.
(3) 2CO(g)+2Cl2(g)2COCl2(g);Kp3=(6×103atm1)2=3.6×105atm2
Subtract equation (1) from equation (3).
(4) C(s)+CO2(g)+2Cl2(g)2COCl2(g);Kp4=3.6×105atm21014atm1=3.6×109 atm1
For equation (4) Δn=2(1+2)=1
Kc=Kp(RT)Δn
Kc=3.6×109 atm1×(0.08206 Latm/molK×1120 K)(1)
The value of Kc for the following reaction at 1120 K will be
3.31×1011 M1

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