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For the reaction N2(g) + O2(g) ⇌ 2NO(g), K1 = [NO]^2 / [N2][O2]. For the reaction 2NO(g) + O2(g) ⇌ 2NO2(g), K2 = [NO2]^2 / [NO]^2[O2]. Calculate K for the reaction NO2(g) ⇌ 1/2 N2(g) + 1/2 O2(g).

1. 1 / K1
2. 1 / K2
3. [N2]^2[O2] / [NO]^2
4. [NO]^2 / [N2][O2]

Correct answer: 1 / K2

Solution

The given reaction NO2(g) ⇌ 1/2 N2(g) + 1/2 O2(g) is the reverse of the combined reactions described by K1 and K2. The equilibrium constant for the reverse reaction is the reciprocal of K2.

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