Given that the equilibrium constant for the reaction,$2SO_{2(g)} + O_{2(g)} \rightleftharpoons 2SO_{3(g)}$ 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? $SO_{3(g)} \rightleftharpoons SO_{2(g)} + \frac{1}{2} O_{2(g)}$

  • A
    $1.8 \times 10^{-3}$
  • B
    $3.6 \times 10^{-3}$
  • C
    $6.0 \times 10^{-2}$
  • D
    $1.3 \times 10^{-5}$

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