At $T \ K$,the $K_C$ value for the reaction $\frac{1}{3} N_{2(g)} + H_{2(g)} \rightleftharpoons \frac{2}{3} NH_{3(g)}$ is $50$. The $K_C$ value for the reaction $2 NH_{3(g)} \rightleftharpoons N_{2(g)} + 3 H_{2(g)}$ at the same temperature is:

  • A
    $4 \times 10^{-6}$
  • B
    $8 \times 10^{-6}$
  • C
    $6 \times 10^{-6}$
  • D
    $8 \times 10^{-3}$

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