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K1, K2, and K3 represent the equilibrium constants for the following reactions (I), (II), and (III), respectively: (I) N2O4 ⇌ 2NO2 (II) 2NO2 ⇌ N2 + 2O2 (III) NO2 ⇌ 1/2 N2 + O2 Which of the following correctly describes the relationship between these constants?

1. K1 equals the reciprocal of K2 and also equals the reciprocal of K3
2. K1 equals the reciprocal of K2 and is equal to the square of K3
3. K1 is the square root of K2 and is equal to K3
4. K1 equals the reciprocal of K2 and is the same as K3

Correct answer: K1 equals the reciprocal of K2 and is equal to the square of K3

Solution

The relationship between the equilibrium constants is based on the stoichiometry of the reactions, and by manipulating the reactions and their constants, it can be shown that K1 equals the reciprocal of K2 and is equal to the square of K3.

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