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For the reactions below, the equilibrium constants are K1, K2 and K3 respectively: (i) CO(g) + H2O(g) ⇌ CO2(g) + H2(g) (ii) CH4(g) + H2O(g) ⇌ CO(g) + 3H2(g) (iii) CH4(g) + 2H2O(g) ⇌ CO2(g) + 4H2(g) Which relation is true?

1. K1√K2 = K3
2. K2K3 = K1
3. K3 = K1K2
4. K3² = K1²

Correct answer: K3 = K1K2

Solution

The correct option K3 = K1K2 is derived from the principle of combining equilibrium constants for sequential reactions. When the reactions are added together, the equilibrium constant for the overall reaction is the product of the equilibrium constants of the individual reactions.

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