Answer is: the enthalpy change for the thermite reaction is -2550 kJ.
Balanced chemical reaction: Fe₂O₃(s) + 2Al(s) → 2Fe(s) + Al₂O₃(s).
ΔHrxn = -850 kJ; enthalpy of thermite reaction.
n(Al) = 6.00 mol; amount of the aluminium.
From the balanced chemical reaction make proportion:
2 mol : -850 kJ = 6 mol : ΔH.
ΔH = -850 kJ · 6 mol ÷ 2 mol.
ΔH = -2550 kJ; enthalpy from 6 moles of aluminium.