The equilibrium constants for the reactions $(i)$,$(ii)$,and $(iii)$ are $K_1$,$K_2$,and $K_3$ respectively. Which of the following is the correct relationship?
$(i)$ $N_2 + 2O_2 \rightleftharpoons 2NO_2$
$(ii)$ $2NO_2 \rightleftharpoons N_2 + 2O_2$
$(iii)$ $NO_2 \rightleftharpoons 1/2 N_2 + O_2$

• A
  $K_1 = \sqrt{K_2} = K_3$
• B
  $K_1 = 1/K_2 = 1/K_3$
• C
  $K_1 = K_2^2 = K_3$
• D
  $K_1 = 1/K_2 = 1/(K_3)^2$