Answer:
[tex]\large \boxed{\text{-1366 kJ/mol}}[/tex]
Explanation:
C₂H₅OH + 3O₂ ⟶ 2CO₂ + 3H₂O
The formula for calculating the enthalpy change of a reaction by using the enthalpies of formation of reactants and products is
[tex]\Delta_{\text{r}}H^{\circ} = \sum \Delta_{\text{f}} H^{\circ} (\text{products}) - \sum\Delta_{\text{f}}H^{\circ} (\text{reactants})[/tex]
C₂H₅OH + 3O₂ ⟶ 2CO₂ + 3H₂O
ΔH°f/kJ·mol⁻¹: -277 -393 -285.5
[tex]\begin{array}{rcl}\Delta_{\text{r}}H^{\circ} & = & 2(-393) + 3(-285.5) -(-277)\\& = & -786 - 856.5 + 277\\& = & \textbf{-1366 kJ/mol}\\\end{array}\\\text{The enthalpy change is } \large \boxed{\textbf{-1366 kJ/mol}}[/tex]