The enthalpy changes for the formation of one mole of aluminium oxide and one mole of iron(III) oxide are shown below.
\[2Al(s)+1\frac{1}{2}O_2(g) \rightarrow Al_{2}O_{3}(s)\,\,\,\,\,\,\,\,\,\, \Delta H_{1} \]
\[2Fe(s)+1\frac{1}{2}O_{2}(g)\rightarrow Fe_{2}O_{3}(s)\,\,\,\,\,\,\,\,\,\, \Delta H_{2}\]
Based on these equations, what is the enthalpy change for the following reaction?
\[2Al(s)+Fe_{2}O_{3}(s) \rightarrow Al_{2}O_{3}(s)+2Fe(s)\,\,\,\,\,\,\,\, \Delta H_{T}\]