2 Al (s) + 1 Fe2O3 (s hematite) → 2 Fe (ℓ) + 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 (ℓ)) + 1ΔHf(Al2O3 (s alpha-corundum))] - [2ΔHf(Al (s)) + 1ΔHf(Fe2O3 (s hematite))]
[2(13.13) + 1(-1675.27)] - [2(0) + 1(-824.25)] = -824.76 kJ
-824.76 kJ     (exothermic)

Entropy Change

[2ΔSf(Fe (ℓ)) + 1ΔSf(Al2O3 (s alpha-corundum))] - [2ΔSf(Al (s)) + 1ΔSf(Fe2O3 (s hematite))]
[2(34.29) + 1(50.92)] - [2(28.33) + 1(87.4)] = -24.56 J/K
-24.56 J/K     (decrease in entropy)

Free Energy of Reaction (at 298.15 K)

From ΔGf° values:
[2ΔGf(Fe (ℓ)) + 1ΔGf(Al2O3 (s alpha-corundum))] - [2ΔGf(Al (s)) + 1ΔGf(Fe2O3 (s hematite))]
[2(11.05) + 1(-1581.97)] - [2(0) + 1(-742.24)] = -817.63 kJ
-817.63 kJ     (spontaneous)

From ΔG = ΔH - TΔS:
-817.44 kJ     (spontaneous)

Equilibrium Constant, K (at 298.15 K)

1.7805292714e+143
This process is favorable at 25°C.

Reference(s):

Zumdahl, Steven and Zumdahl, Susan A. Chemistry 9th ed.; Brooks/Cole: Belmont, CA, 2014; p 132.

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