At $700 \, K$,the equilibrium constant $K_p$ for the reaction $2SO_{3(g)} \rightleftharpoons 2SO_{2(g)} + O_{2(g)}$ is $1.80 \times 10^{-3}$. The numerical value in $mol \, L^{-1}$ of $K_c$ for this reaction at the same temperature will be $(R = 8.314 \, J \, K^{-1} \, mol^{-1})$.

  • A
    $3.09 \times 10^{-7} \, mol \, L^{-1}$
  • B
    $5.07 \times 10^{-8} \, mol \, L^{-1}$
  • C
    $8.18 \times 10^{-9} \, mol \, L^{-1}$
  • D
    $9.24 \times 10^{-10} \, mol \, L^{-1}$

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