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The equilibrium constant for the reaction $$SO_3(g) \rightleftharpoons SO_2(g) + \frac{1}{2}O_2(g)$$ is $$K_c = 4.9 \times 10^{-2}$$. The value of $$K_c$$ for the reaction given below is $$2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$$:
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