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Given that the equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature? SO3(g) ⇌ SO2(g) + 1/2 O2(g)
- 1.8 × 10^-3
- 3.6 × 10^-3
- 6.0 × 10^-2
- 1.3 × 10^-5
Correct answer: 1.8 × 10^-3
Solution
The equilibrium constant for the reverse reaction is the reciprocal of the forward reaction's constant. Additionally, since the coefficients are halved, the square root of the reciprocal is taken. Thus, K = 1/278^(1/2) = 1.8 × 10^-3.
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