Consider the following gaseous equilibria with equilibrium constants $K_{1}$ and $K_{2}$ respectively.
$SO_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons SO_{3(g)}$
$2 SO_{3(g)} \rightleftharpoons 2 SO_{2(g)} + O_{2(g)}$
The equilibrium constants are related as

• A
  $K_{1}^{2} = \frac{1}{K_{2}}$
• B
  $2 K_{1} = K_{2}^{2}$
• C
  $K_{2} = \frac{2}{K_{1}^{2}}$
• D
  $K_{2}^{2} = \frac{1}{K_{1}}$