J.R. S. answered 03/24/18
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Ph.D. in Biochemistry--University Professor--Chemistry Tutor
Fe2O3(s) + 2 Al(s) ==> Al2O3(s) + 2 Fe(s) ΔH°rxn = -852 kJ
According to the above equation, you generate 852 kJ of energy for every 2 moles of Fe that are formed. So, we can calculate moles of Fe equivalent to 98.7 g, and then find the energy liberated.
moles of Fe formed = 98.7 g x 1 mole/55.85 g = 1.77 moles Fe
Energy evolved = 1.77 moles Fe x -852 kJ/2 moles Fe = 754 kJ
ANSWER = 753 kJ