What is the equilibrium constant expression, K_c, for the following reaction?

2NH₃(g) + 2O₂(g) \( \rightleftharpoons \) N₂O(g) + 3H₂O(g)

A.     \(\frac{{3\left[ {{{\text{H}}_2}{\text{O}}} \right]\left[ {{{\text{N}}_2}{\text{O}}} \right]}}{{2\left[ {{\text{N}}{{\text{H}}_3}} \right]2\left[ {{{\text{O}}_2}} \right]}}\)

B.     \(\frac{{{{\left[ {{\text{N}}{{\text{H}}_3}} \right]}^2}{{\left[ {{{\text{O}}_2}} \right]}^2}}}{{\left[ {{{\text{N}}_2}{\text{O}}} \right]{{\left[ {{{\text{H}}_2}{\text{O}}} \right]}^3}}}\)

C.     \(\frac{{2\left[ {{\text{N}}{{\text{H}}_3}} \right]2\left[ {{{\text{O}}_2}} \right]}}{{3\left[ {{{\text{H}}_2}{\text{O}}} \right]\left[ {{{\text{N}}_2}{\text{O}}} \right]}}\)

D.     \(\frac{{\left[ {{{\text{N}}_2}{\text{O}}} \right]{{\left[ {{{\text{H}}_2}{\text{O}}} \right]}^3}}}{{{{\left[ {{\text{N}}{{\text{H}}_3}} \right]}^2}{{\left[ {{{\text{O}}_2}} \right]}^2}}}\)

D