Electrochemical Cell Potential Calculator
Calculate standard cell potential from cathode and anode electrode values.
Enter E° for each half-cell for voltage, Gibbs free energy, and spontaneity.
An electrochemical cell generates voltage by coupling two half-reactions: an oxidation at the anode and a reduction at the cathode. The total cell potential is the difference between their standard reduction potentials.
E°cell = E°cathode - E°anode
Standard reduction potentials are measured relative to the standard hydrogen electrode (SHE), defined as 0.000 V. A positive E°cell means the reaction is spontaneous under standard conditions (1 M concentrations, 1 atm, 25°C).
Some common standard reduction potentials (E° vs SHE):
- Zn²⁺ + 2e⁻ → Zn: -0.76 V (commonly the anode in zinc-based cells)
- Fe²⁺ + 2e⁻ → Fe: -0.44 V
- 2H⁺ + 2e⁻ → H₂: 0.00 V (reference electrode)
- Cu²⁺ + 2e⁻ → Cu: +0.34 V
- Ag⁺ + e⁻ → Ag: +0.80 V
- Cl₂ + 2e⁻ → 2Cl⁻: +1.36 V
A classic zinc-copper Daniell cell: E°cell = 0.34 - (-0.76) = 1.10 V
The relationship to Gibbs free energy:
ΔG° = -n × F × E°cell
Where n = moles of electrons transferred and F = Faraday’s constant (96,485 C/mol). A negative ΔG° confirms the reaction is thermodynamically favorable.
The equilibrium constant Keq can also be found: log(Keq) = n × E°cell / 0.05916 (at 25°C).
Note: the Nernst equation adjusts E°cell for non-standard concentrations. E = E° - (RT/nF) × ln(Q), which at 25°C simplifies to E = E° - (0.05916/n) × log(Q).
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This calculator runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
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