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For the following reactions, equilibrium constants are given - S(s) + O2(g) ⇌ SO2(g); K1 = 10^52 2S(s) + 3O2(g) ⇌ 2SO3(g); K2 = 10^129 The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is

1. 10^54
2. 10^81
3. 10^25
4. 10^77

Correct answer: 10^54

Solution

The equilibrium constant for the reaction can be derived from the given constants K1 and K2 using the relationship that combines them. Specifically, the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) can be expressed as K = K2 / K1^2, leading to K = 10^129 / (10^52)^2 = 10^54.

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