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Question

In ΔG=177 K cal 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 D 727kcalmol

2Fe(s)+32O2(g)Fe2O3(s) (1)

Multiply equation (1) by factor 4 ,

3Fe(s)+6O2(g)4Fe2O3(s) (2)
G=4×(177)KCal

4Fe2O3(s)+Fe(s)3Fe3O4(s) (3)
G=19KCal

Add Equation (2) and (3)
9Fe(s)+6O2(g)3Fe3O4(s)

=4×(177)+(19)

=727KCal/mol


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