Nernst Equation Cell Potential Calculator

Compute cell potential at nonstandard concentrations using standard potential, electron count, and reaction quotient.

Quick Facts

Core Formula
E = E0 - (0.05916/n) log10(Q) at 25C
Use this for planning estimates and sanity checks.

Your Results

Calculated
Cell Potential E
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Primary output
Nernst Correction
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Secondary output
Driving Direction
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Verification metric
Electrochemical Note
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Interpretation

Ready

Enter values and calculate to get scenario outputs.

About the Nernst Equation Cell Potential Calculator - Nonstandard Electrochemistry

Nernst Equation:

E = E° − (RT / nF) × ln(Q)

At 25°C: E = E° − (0.0592/n) × log(Q)

Electrochemical calculations predict cell potential and reaction spontaneity in galvanic and electrolytic cells. They combine thermodynamic favorability with kinetic feasibility.

Standard cell potential

E°_cell = E°_cathode − E°_anode (reduction potentials). A positive E°_cell indicates a spontaneous reaction (negative ΔG°). The relationship: ΔG° = −nFE°, where n is moles of electrons transferred and F is Faraday's constant (96,485 C/mol).

The Nernst equation

E_cell = E°_cell − (RT/nF) × ln(Q). At 25°C this simplifies to E = E° − (0.0592/n) × log(Q). Q is the reaction quotient — the ratio of product to reactant concentrations. At equilibrium, E = 0 and Q = K.

Practical applications

  • Battery design: optimizing electrode pairs and electrolyte composition for maximum cell voltage and capacity
  • Corrosion prediction: galvanic couples between metals drive corrosion; the Nernst equation estimates the driving force
  • Analytical chemistry: ion-selective electrodes use the Nernst equation to convert measured voltage to ion concentration

Frequently Asked Questions

How accurate are the results?
The Nernst Equation Cell Potential applies a standard formula to your inputs — accuracy depends on how precisely you measure those inputs. For planning and estimation, results are reliable. For high-stakes or professional decisions, cross-check the output with a domain expert or primary source.
What if my reagents aren't 100% pure?
Account for purity in your mass calculation: actual mass needed = theoretical mass / (purity fraction). For example, 95% pure NaCl: if you need 10g of pure NaCl, weigh out 10/0.95 = 10.53g. Always check the Certificate of Analysis for the actual purity of each lot.