For the reaction $2NO_{2(g)} \rightleftharpoons 2NO_{(g)} + O_{2(g)}$,the value of $K_c$ is $1.8 \times 10^{-6}$ at $185 \, ^\circ C$. What is the value of $K_c$ for the reaction $NO_{(g)} + \frac{1}{2}O_{2(g)} \rightleftharpoons NO_{2(g)}$ at the same temperature?

  • A
    $0.9 \times 10^6$
  • B
    $7.5 \times 10^2$
  • C
    $1.95 \times 10^{-3}$
  • D
    $1.95 \times 10^3$

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