Ammonia synthesis reaction is represented by [ mathrm{N}_{2}(mathrm{~g})+3 mathrm{H}_{2}(mathrm{~g}) ightarrow 2 mathrm{NH}_{3}(mathrm{~g}) ] Initially, (1 mathrm{~mol})

Ammonia synthesis reaction is represented by

\[ \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g}) \]

Initially, \(1 \mathrm{~mol}\) of nitrogen and \(5 \mathrm{~mol}\) of hydrogen gas are fed into the reactor. The process is maintained at \(800 \mathrm{~K}\) and \(250 \mathrm{bar}\). Estimate the molar composition of the gases at equilibrium, assuming that the reaction mixture behaves like an ideal gas. Given that equilibrium constant, \(K=1.106 \times 10^{-5}\).