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Question

For the reaction, N2(g)+O2(g)2NO(g), the equilibrium constant is K1. The equilibrium constant is K2 for the reaction, 2NO(g)+O2(g)2NO2(g).


What is K for the reaction, NO2(g)12N2(g)+O2(g)?

A
1/[4K1K2]
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B
[1/K1K2]1/2
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C
1/[K1K2]
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D
1/[2K1K2]
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Solution

The correct option is B [1/K1K2]1/2
N2(g)+O2(g)2NO(g)K1 .....(1)
2NO(g)+O2(g)2NO2(g)K2 .....(2)
Add reactions (1) and (2):
N2(g)+2O2(g)2NO2(g)K=K1K2
Reverse the resulting reaction:
2NO2(g)N2(g)+2O2(g)K=1K1K2
Divide the reaction with 2:
NO2(g)12N2(g)+O2(g)K=[1/K1K2]1/2

Hence, option B is correct.

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