Nernst Equation Non-Standard Electrochemical Cell Potential Calculator

Compute E_cell = E° − (RT / nF)·ln(Q) for batteries and redox electrodes.

Non-Standard Cell Potential (E_cell)
1.14 V
Nernst Concentration Shift (E − E°) 38.48 mV
Gibbs Free Energy (ΔG = −nFE) -219.69 kJ/mol
Thermal Voltage Slope (RT/nF) 12.85 mV
Inputs
V
Standard cell potential E°_cell in Volts (1.10 V for Zn/Cu Daniell cell).
e⁻
Moles of electrons transferred in the balanced half-reaction (n).
Q
Ion activity ratio Q = [Products] / [Reactants].
K
Cell temperature in Kelvin.
Results & Graph
Non-Standard Cell Potential (E_cell)
1.14 V
Nernst Concentration Shift (E − E°)
38.48 mV
Gibbs Free Energy (ΔG = −nFE)
-219.69 kJ/mol
Thermal Voltage Slope (RT/nF)
12.85 mV

Non-Standard Cell Potential (E_cell)

Graph 1 • Standard Potential Volts Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 V 0.9 V 1.8 V 50%: 0.59 V 0.6 50% 75%: 0.86 V 0.9 75% 100%: 1.14 V 1.1 100% 125%: 1.41 V 1.4 125% 150%: 1.69 V 1.7 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Non-Standard Cell Potential (E_cell) 1.14 V Nernst Concentration Shift (E − E°) 38.48 mV Gibbs Free Energy (ΔG = −nFE) -219.69 kJ/mol Thermal Voltage Slope (RT/nF) 12.85 mV
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Non-Standard Cell Potential (E_cell)1.14 VNernst Concentration Shift (E − E°)38.48 mVGibbs Free Energy (ΔG = −nFE)-219.69 kJ/molThermal Voltage Slope (RT/nF)12.85 mV
Summary: With E°=1.1 V, n=2 e⁻, and Q=0.05 at 298.15 K, Nernst potential is 1.1385 V (ΔG = -219.69 kJ/mol).
Summary: With E°=1.1 V, n=2 e⁻, and Q=0.05 at 298.15 K, Nernst potential is 1.1385 V (ΔG = -219.69 kJ/mol).
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Formula & Mathematical Methodology: Nernst Cell Potential Reference Equation

Ecell = E°cell − [ R × Tn × F ] × ln(Q)
E_cell = E°_cell − [ (R × T) / (n × F) ] × ln(Q)
  • standardPotentialVolts: Standard Potential Volts (V)
  • electronsTransferredN: Electrons Transferred N (e⁻)
  • reactionQuotientQ: Reaction Quotient Q (Q)
  • temperatureKelvin: Temperature Kelvin (K)

Rounding: Laboratory and clinical equations retain full floating-point precision and round displayed results to 2 decimal places.

Worked Example: Reference Calculation: Nernst Cell Potential

Compute E_cell = E° − (RT / nF)·ln(Q) for batteries and redox electrodes.

  1. Enter the reagent concentrations, assay readings, or clinical laboratory parameters.
  2. Compute the standard formula: E_cell = E°_cell − [ (R × T) / (n × F) ] × ln(Q).
  3. Review the primary result, supporting reference intervals, and 3 SVG visualizations.
Result: Evaluates Nernst Cell Potential via E_cell = E°_cell − [ (R × T) / (n × F) ] × ln(Q).

Frequently Asked Questions

What formula is used by the Nernst Equation Non-Standard Electrochemical Cell Potential Calculator?

It computes E_cell = E°_cell − [ (R × T) / (n × F) ] × ln(Q) and plots three custom SVG graphs showing parameter sensitivity and component breakdowns.

Can I compare different reagent dilutions or lab scenarios side by side?

Yes. Use the "Compare (0/3)" button to pin up to 3 scenarios side by side.

Are entered values stored on any server?

No. Every calculation runs 100% locally in your browser.

Science & Engineering · Analytical Chemistry & Lab Bench

Nernst Equation Non-Standard Electrochemical Cell Potential Calculator: inputs, method, and how to read the result

Compute E_cell = E° − (RT / nF)·ln(Q) for batteries and redox electrodes.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Standard Potential Volts: Standard cell potential E°_cell in Volts (1.10 V for Zn/Cu Daniell cell).
  • Electrons Transferred N: Moles of electrons transferred in the balanced half-reaction (n).
  • Reaction Quotient Q: Ion activity ratio Q = [Products] / [Reactants].
  • Temperature Kelvin: Cell temperature in Kelvin.

What the calculation includes

With the default values shown, Non-Standard Cell Potential (E_cell) is 1.14 V. The calculation follows Nernst Cell Potential Reference Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Standard Potential Volts from 1.1 V to 1.21 V changes Non-Standard Cell Potential (E_cell) from 1.14 V to 1.25 V. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard IUPAC atomic weights, 25°C (298.15 K) reference thermodynamics, and published clinical literature equations.
  • Educational and laboratory reference tool only; clinical scoring calculators do not replace professional medical judgment or institutional protocols.

Scope: IUPAC / NIH Laboratory & Clinical Reference Standard Check the assumptions and limitations against your situation before relying on the estimate.

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