## 2 Al (s) + 1 Fe2O3 (s hematite) → 2 Fe (s alpha) + Al2O3 (s alpha-corundum)

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## Reaction Type:

Single displacement/Oxidation-reduction

## Stoichiometry

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 Al             Mass: g Fe2O3          Mass: g Fe             Mass: g Al2O3          Mass: g Heat Released: kJ

## Enthalpy of Reaction

[2ΔHf(Fe (s alpha)) + 1ΔHf(Al2O3 (s alpha-corundum))] - [2ΔHf(Al (s)) + 1ΔHf(Fe2O3 (s hematite))]
[2(0) + 1(-1675.27)] - [2(0) + 1(-824.25)] = -851.02 kJ
-851.02 kJ     (exothermic)

## Entropy Change

[2ΔSf(Fe (s alpha)) + 1ΔSf(Al2O3 (s alpha-corundum))] - [2ΔSf(Al (s)) + 1ΔSf(Fe2O3 (s hematite))]
[2(27.28) + 1(50.92)] - [2(28.33) + 1(87.4)] = -38.58 J/K
-38.58 J/K     (decrease in entropy)

## Free Energy of Reaction (at 298.15 K)

From ΔGf° values:
[2ΔGf(Fe (s alpha)) + 1ΔGf(Al2O3 (s alpha-corundum))] - [2ΔGf(Al (s)) + 1ΔGf(Fe2O3 (s hematite))]
[2(0) + 1(-1581.97)] - [2(0) + 1(-742.24)] = -839.73 kJ
-839.73 kJ     (spontaneous)

From ΔG = ΔH - TΔS:
-839.52 kJ     (spontaneous)

## Equilibrium Constant, K (at 298.15 K)

1.3259191526e+147
This process is favorable at 25°C.

## Reference(s):

Kotz, John C., Treichel, Paul, and Weaver, Gabriela. Chemistry & Chemical Reactivity 6th ed.; Thomson Brooks/Cole: Belmont, CA, 2006; p 157.
Halka, Monica and Nordstrom, Brian. Metals & Metalloids; Infobase Publishing: New York, NY, 2011; p 15.