Problem: The equation ΔG° = -nFE° also can be applied to half-reactions. Use standard reduction potentials to estimate ΔG°f for Fe2+(aq) and Fe3+(aq). (ΔG°f for e- = 0.)

FREE Expert Solution

ΔG° can be calculated from the cell potential using the following equation:

G=-nFE°cell

ΔG° = Gibbs Free Energy, J
n = # of e- transferred
F = Faraday’s constant = 96485 J/(mol e-)
cell = standard cell potential, V


 ΔG°f for Fe2+(aq):

Fe2+(aq) + 2 e- → Fe(s)       E° = -0.447 V

n = 2 mol e-
F = 96485 C/(mol e-)
E° = -0.447 V


G°=-nFE°cellG°rxn=-2 mol e-96485 Jmol e--0.447 V

V = JC

G°rxn=-2 mol e-96485 Cmol e--0.447 JC 

  ΔG°rxn = 86257.59 J

G°rxn=287525.3 J×1 kJ103 J

 ΔG°rxn = 86.26 kJ


ΔG°rxn=ΔG°f, prod-ΔG°f, react

ΔG°rxn=(1 mol Fe)0 kJ1 mol Fe           -(1 mol Fe2+)G°f, Fe2++(2 mol e-)0 kJ1 mol e-86.26 kJ-(1 mol Fe2+)=-(1 mol Fe2+)(G°f, Fe2+)-(1 mol Fe2+)

ΔG˚f, Fe2+–86.26 kJ/mol Fe2+



ΔG°f for Fe3+(aq):

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Problem Details

The equation ΔG° = -nFE° also can be applied to half-reactions. Use standard reduction potentials to estimate ΔG°f for Fe2+(aq) and Fe3+(aq). (ΔG°for e- = 0.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Cell Potential concept. If you need more Cell Potential practice, you can also practice Cell Potential practice problems.

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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.