What is the standard reduction potential (E°) for FeX3+→Fe\ce{Fe^3+ -> Fe}FeX3+Fe ?
Given that :
FeX2++2 eX−→Fe\ce{Fe^2+ + 2e- -> Fe}FeX2++2eX−Fe ; EFeX2+/Fe∘=−0.47E^\circ_{\ce{Fe^2+/Fe}}=-0.47EFeX2+/Fe∘=−0.47 V
FeX3++eX−→FeX2+\ce{Fe^3+ + e- -> Fe^2+}FeX3++eX−FeX2+ ; EFeX3+/FeX2+∘=+0.77E^\circ_{\ce{Fe^3+/Fe^2+}}=+0.77EFeX3+/FeX2+∘=+0.77 V
Official answer: A
Add the free energies: ΔG∘=−2F(−0.47)−F(0.77)=−3FE∘\Delta G^\circ=-2F(-0.47)-F(0.77)=-3FE^\circΔG∘=−2F(−0.47)−F(0.77)=−3FE∘, soE∘=2(−0.47)+0.773=−0.057 V.E^\circ=\frac{2(-0.47)+0.77}3=-0.057\text{ V}.E∘=32(−0.47)+0.77=−0.057 V.