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Question

At 1000 K, the equilibrium constants for the following equilibrium are K1 and K2.


COCl2(g)CO(g)+Cl2(g) ; K1=0.329
2CO(g)+O2(g)2CO2(g) ; K2=2.24×1022

For the equilibrium,
2COCl2(g)+O2(g)2CO2(g)+2Cl2(g), the equilibrium constant K3 is:

A
2.424×1022
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B
2.424×1021
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C
4.84×1020
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D
2.424×1020
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Solution

The correct option is B 2.424×1021
COCl2(g)CO(g)+Cl2(g) ; K1=0.329
2CO(g)+O2(g)2CO2(g) ; K2=2.24×1022

For the reaction, 2COCl2(g)+O2(g)2CO2(g)+2Cl2(g)

K3=(K1)2×K2

K3=(0.329)2×2.24×1022

=0.2424×1022

=2.424×1021

Hence, option B is correct.

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