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Question

If ΔG=177Kcal for
(1) 2Fe(s)+32O2(g)Fe2O3(s)
and ΔG=19K cal for
(2) 4Fe2O3(s)+Fe(s)3Fe3O4(s)
What is the Gibbs free energy of formation of Fe3O4?

A
+229.6kcalmol
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B
242.3kcalmol
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C
727kcalmol
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D
229.6kcalmol
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Solution

The correct option is B 242.3kcalmol
2Fe(s)+32O2(g)Fe2O3(s), ΔG=177KCal(1)
4Fe2O3(s)+Fe(s)3Fe3O4(s), ΔG=19KCal(2)
3Fe(s)+2O2(g)Fe3O4, ΔG=?
Equation (1) ×4383Fe+2O243Fe2O3,(3) ΔG=43(177)=236Kcal
Equation (2) ×1343Fe2O3(s)+13Fe(s)Fe3O4,(4) ΔG=13(19)=6.34Kcal
(3)+(4)3Fe(s)+2O2(g)Fe3O4, ΔG=242.34Kcal mol

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