Given the equilibrium constants for the following three reactions:
$(1) N_2 + 3H_2 \rightleftharpoons 2NH_3; K_1$
$(2) N_2 + O_2 \rightleftharpoons 2NO; K_2$
$(3) H_2 + \frac{1}{2}O_2 \rightleftharpoons H_2O; K_3$
The equilibrium constant for the reaction of $NH_3$ with oxygen to form $NO$ and $H_2O$ is:

  • A
    $\frac{K_2 K_3^3}{K_1}$
  • B
    $\frac{K_2 K_3^2}{K_1}$
  • C
    $\frac{K_1 K_3^2}{K_2}$
  • D
    $\frac{K_2^2 K_3^3}{K_1}$

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