The following equilibrium constants were determined at 1120K: 2CO(g)⇌C(s)+CO2(g);KP1=10−14atm−1CO(g)+Cl2(g)⇌COCl2(g);Kp2=6×10−3atm−1
What is the equilibrium constant KC for the following reaction at 1120K; C(s)+CO2(g)+2Cl2(g)⇌2COCl2(g)
A
3.31×10−11M−1
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B
5.5×1010M−1
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C
5.51×106M−1
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D
None of these
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Solution
The correct option is A3.31×10−11M−1 C(s)+CO2(g)⇌2CO(g);Kp=1014atm2CO(g)+2Cl2(g)⇌2COOCl2;KP2=(6×10−3)2atm−2
Add (1) and (2) C(s)+CO2+2Cl2(g)⇌2COCl2(g)Kp=1014×36×10−6=36×108atm−1
We know that Kp=Kc×(RT)ΔngKc=Kp×(RT)−Δng
For given reaction Δng=−1∴Kc=Kp(RT)=36×108atm−1×0.0821LatmK−1mol−1×1120Kc=3.31×1011M−1