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Enthalpy of Reaction
[2ΔHf(Cr3C2 (s)) + 9ΔHf(CO (g))] - [13ΔHf(C (s graphite)) + 3ΔHf(Cr2O3 (s))]
[2(-85.35) + 9(-110.54)] - [13(0) + 3(-1134.7)] = 2238.54 kJ
2,238.54 kJ (endothermic)
[2ΔSf(Cr3C2 (s)) + 9ΔSf(CO (g))] - [13ΔSf(C (s graphite)) + 3ΔSf(Cr2O3 (s))]
[2(85.44) + 9(197.9)] - [13(5.69) + 3(81.17)] = 1634.5 J/K
1,634.50 J/K (increase in entropy)
Free Energy of Reaction (at 298.15 K)
From ΔGf° values:
[2ΔGf(Cr3C2 (s)) + 9ΔGf(CO (g))] - [13ΔGf(C (s graphite)) + 3ΔGf(Cr2O3 (s))]
[2(-86.32) + 9(-137.28)] - [13(0) + 3(-1053.11)] = 1751.17 kJ
1,751.17 kJ (nonspontaneous)
From ΔG = ΔH - TΔS:
1751.21 kJ (nonspontaneous)
Equilibrium Constant, K (at 298.15 K)
This process is not favorable at 25°C.
Atkins, Jones, and Laverman. Chemical Principles 6th ed.; W.H. Freeman and Company: New York, NY, 2013; p F95.