Unit 9 · Applications of Thermodynamics
Lesson 89 of 91

9.8 Cell Potential & Free Energy

01E°cell

E°cell = E°cathode − E°anode using reduction potentials. Never multiply E° by coefficients — it's intensive.

ΔG° = −nFE°: positive E° → negative ΔG° → favorable. F = 96,485 C/mol e⁻.

02Notebook box

Higher reduction potential is reduced (cathode).

Worked example: Cu²⁺/Cu +0.34, Zn²⁺/Zn −0.76 → E° = 0.34 − (−0.76) = +1.10 V.

Key takeaways
  • ✦Cathode − anode.
  • ✦Don't scale E°.
  • ✦ΔG° = −nFE°.
Watch outMultiplying E° by 2 when balancing electrons is a classic trap.
Quick check

Did it stick?

1.Ag⁺/Ag +0.80, Cu²⁺/Cu +0.34. E°cell?

2.Doubling coefficients changes E° by…

3.E°cell > 0 means ΔG°…