Using this information and the reactions below determine

Question

Nitrogen gas can be combined with oxygen gas to form nitrogen dioxide gas (NO₂). Using this information and the reactions below, determine the overall enthalpy for this reaction using Hess's Law. Work must be shown in order to earn credit.

N_{2 (g)} + 3H_{2 (g)} → 2NH_{3 (g)}                                           ΔH = -112.3 kJ

2 NH_{3 (g)} + 4 H₂O _(l) → 2 NO_{2 (g)} + 7 H_{2 (g)}                    ΔH = -144.9 kJ

H₂O _(l) → H_{2 (g)} + ½ O_{2 (g)}                                           ΔH = -48.0 kJ