The oxidation of $\mathrm{NH}_{3}(\mathrm{g})$ to $\mathrm{NO}(\mathrm{g})$ in the Ostwald process must be very carefully controlled in terms of temperature, pressure, and contact time with the catalyst. This is because the oxidation of $\mathrm{NH}_{3}(\mathrm{g})$ can yield any one of the products $\mathrm{N}_{2}(\mathrm{g}), \mathrm{N}_{2} \mathrm{O}(\mathrm{g}), \mathrm{NO}(\mathrm{g})$
and $\mathrm{NO}_{2}(\mathrm{g}),$ depending on conditions. Show that oxidation of $\mathrm{NH}_{3}(\mathrm{g})$ to $\mathrm{N}_{2}(\mathrm{g})$ is the most exothermic of the four possible reactions.