If the equilibrium constants of the following equilibria $SO_2 + \frac{1}{2} O_2 \rightleftharpoons SO_3$ and $2 SO_3 \rightleftharpoons 2 SO_2 + O_2$ are given by $K_1$ and $K_2$ respectively,which of the following relations is correct?
- A$K_2 = (\frac{1}{K_1})^2$
- B$K_1 = (\frac{1}{K_2})^3$
- C$K_2 = \frac{1}{K_1}$
- D$K_2 = (K_1)^2$
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