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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) ⇌ 1/2 N2(g) + O2(g)?

1. 1 / 2K2K1
2. 1 / 4K2K1
3. 1 / (K1K2)^1/2
4. 1 / (K1K2)

Correct answer: 1 / (K1K2)

Solution

The equilibrium constant for the reverse reaction is the reciprocal of the forward reaction's constant. For NO2(g) ⇌ 1/2 N2(g) + O2(g), the equilibrium constant is the reciprocal of the product of K1 and K2, as the reaction is the reverse of the combined reactions. Hence, the answer is 1 / (K1K2).

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