what is the value of the equilibrium constant for the reaction C + CO2 + 2Cl = 2

Question

what is the value of the equilibrium constant for the reaction C + CO2 + 2Cl = 2COCl2 given C + CO2 <-> 2CO k = 2.4 x 10^-9 and COCl2 <-> CO + Cl2 k = 8.8 x 10^13 what is the value of the equilibrium constant for the reaction C + CO2 + 2Cl = 2COCl2 given C + CO2 <-> 2CO k = 2.4 x 10^-9 and COCl2 <-> CO + Cl2 k = 8.8 x 10^13 what is the value of the equilibrium constant for the reaction C + CO2 + 2Cl = 2COCl2 given C + CO2 <-> 2CO k = 2.4 x 10^-9 and COCl2 <-> CO + Cl2 k = 8.8 x 10^13

Explanation / Answer

We have to calculate the equilibrium constant for

C + CO2 + 2Cl2 ---> 2COCl2

K' = [COCl2]2 / [CO2] [Cl2]2

given C + CO2 <-> 2CO

k1 = 2.4 x 10^-9 = [CO]2 / [CO2]

and COCl2 <-> CO + Cl2

k2 = 8.8 x 10^13 = [Cl2][CO] / [COCl2]

so we can obtain the K' from the above two equations as

K' = K1 /( K2 )2 = 2.4X10^-9 / (8.8X10^13)2 = 0.031 X 10^-35

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