Write reactions for which the enthalpy change will be a. \(\Delta H_{\mathrm{f}}^{\circ}\) for solid aluminum oxide. b. the standard enthalpy of combustion of liquid ethanol, $$ \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l) . $$ c. the standard enthalpy of neutralization of sodium hydroxide solution by hydrochloric acid. d. \(\Delta H_{\mathrm{f}}^{\circ}\) for gaseous vinyl chloride, $\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}(g)$ e. the enthalpy of combustion of liquid benzene, $\mathrm{C}_{6} \mathrm{H}_{6}(l)$ f. the enthalpy of solution of solid ammonium bromide.

a. Formation of solid aluminum oxide: \[ 2\,\text{Al}(s) + \dfrac{3}{2}\,O_{2}(g) \rightarrow \text{Al}_{2}\text{O}_3(s) \] b. Combustion of liquid ethanol: \[ \text{C}_2\text{H}_5\text{OH}(l) + 3\,O_{2}(g) \rightarrow 2\,\text{CO}_2(g) + 3\,\text{H}_2\text{O}(l) \] c. Neutralization of sodium hydroxide by hydrochloric acid: \[ \text{NaOH}(aq) + \text{HCl}(aq) \rightarrow \text{NaCl}(aq) + \text{H}_2\text{O}(l) \] d. Formation of gaseous vinyl chloride: \[ \text{C}(s) + \dfrac{3}{2}\,\text{H}_2(g) + \dfrac{1}{2}\,\text{Cl}_2(g) \rightarrow \text{C}_2\text{H}_3\text{Cl}(g) \] e. Combustion of liquid benzene: \[ \text{C}_{6}\text{H}_{6}(l) + \dfrac{15}{2}\,O_{2}(g) \rightarrow 6\,\text{CO}_2(g) + 3\,\text{H}_{2}\text{O}(l) \] f. Dissolution of solid ammonium bromide: \[ \text{NH}_{4}\text{Br}(s) \rightarrow \text{NH}_{4}^+\,(aq) + \text{Br}^-\,(aq) \]