The following concentrations were observed at \( 500 \, \mathrm{K} \) for the formation of \( \mathrm{NH_3} \) from \( \mathrm{N_2} \) and \( \mathrm{H_2} \). At equilibrium: \( [\mathrm{N_2}] = 2 \times 10^{-2} \, \mathrm{M} \), \( [\mathrm{H_2}] = 3 \times 10^{-2} \, \mathrm{M} \) and \( [\mathrm{NH_3}] = 1.5 \times 10^{-2} \, \mathrm{M} \). Equilibrium constant for the reaction is __________.
