Answer : The amount of energy evolved during the reaction is, [tex]-807.696KJ[/tex].
Solution : Given,
[tex]\Delta H=-852KJ[/tex]
Mass of Al = 51.2 g
Molar mass of Al = 27 g/mole
First we have to calculate the moles of Al.
[tex]\text{ Moles of Al}=\frac{\text{ Mass of Al}}{\text{ Molar mass of Al}}=\frac{51.2g}{27g/mole}=1.896moles[/tex]
The balanced combustion reaction is,
[tex]Fe_2O_3+2Al\rightarrow Al_2O_3+2Fe[/tex]
From the given reaction, we conclude that
As, 2 moles of Al evolved energy = [tex]-852KJ[/tex]
So, 1.896 moles of Al evolved energy = [tex]\frac{-852KJ}{2moles}\times 1.896moles=-807.696KJ[/tex]
Therefore, the amount of energy evolved during the reaction is, [tex]-807.696KJ[/tex].