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← JEE Main 2017 · 8 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 35 of 90

JEE Main 2017 · 8 Apr · Shift 1, Chemistry question 35

What is the standard reduction potential (E°) for FeX3+→Fe\ce{Fe^3+ -> Fe} ?

Given that :

FeX2++2 eX−→Fe\ce{Fe^2+ + 2e- -> Fe} ; EFeX2+/Fe∘=−0.47E^\circ_{\ce{Fe^2+/Fe}}=-0.47 V

FeX3++eX−→FeX2+\ce{Fe^3+ + e- -> Fe^2+} ; EFeX3+/FeX2+∘=+0.77E^\circ_{\ce{Fe^3+/Fe^2+}}=+0.77 V

Choose one option
Answer and worked solution

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^\circ, so
E∘=2(−0.47)+0.773=−0.057 V.E^\circ=\frac{2(-0.47)+0.77}3=-0.057\text{ V}.