Electrochemistry Cell Potential
Calculate electrochemical cell potential using standard reduction potentials and the Nernst equation. Includes Gibbs free energy and equilibrium constant.
About this calculator
This calculator builds a galvanic cell from two standard reduction potentials: E°cell = E°cathode − E°anode, where both half-reaction potentials are entered as reduction potentials (never flip the anode's sign yourself — the subtraction already handles the fact that the anode undergoes oxidation). With the default zinc-copper cell (cathode Cu²⁺/Cu at +0.34 V, anode Zn²⁺/Zn at −0.76 V), that gives the classic 1.10 V standard cell potential. From there it applies the Nernst equation, E = E° − (RT/nF)·ln(Q), to correct for non-standard conditions — concentrations other than 1 M — using the reaction quotient Q built from the product and reactant ion concentrations you supply and the number of electrons transferred, n, in the balanced redox reaction. The engine also converts cell potential into Gibbs free energy via ΔG = −nFE (both at standard conditions and at the actual Nernst-corrected conditions), and derives the equilibrium constant from ln(K) = nFE°/RT, tying together three ways chemists express the same underlying thermodynamic favorability.
A positive cell potential is flagged as spontaneous — the reaction runs forward as written without external energy input — while a negative one means the reverse reaction is favored instead. The most consequential input to get right is n, the electrons transferred: it must match the actual balanced half-reactions (values that appear directly in both the exponential Nernst term and the linear ΔG and lnK formulas), so an incorrect electron count skews every downstream number, not just one. Also note temperature here is entered in kelvin, not Celsius; 298.15 K is room temperature and the default, but forgetting the +273.15 offset when using a different temperature is a common data-entry slip.
Inputs
Results
Standard Cell Potential (E°)
1.1 V
Cell Potential (E)
1.1 V
How to Use This Calculator
- Enter cathode and anode reduction potentials (E°) in volts.
- Set temperature (K), electrons transferred (n), and product and reactant ion concentrations.
- Review standard cell potential, Nernst equation potential, and equilibrium constant.
- A positive cell potential indicates a spontaneous reaction under the given conditions.
How the result changes with Anode Reduction Potential (E°)
| Anode Reduction Potential (E°) | Standard Cell Potential (E°) | Cell Potential (E) |
|---|---|---|
| -1.9 | 2.24 V | 2.24 V |
| -1.14 | 1.48 V | 1.48 V |
| -0.57 | 0.91 V | 0.91 V |
| -0.38 | 0.72 V | 0.72 V |
What each input means
- Cathode Reduction Potential (E°)
- Standard reduction potential of the cathode half-reaction (e.g., Cu²⁺/Cu = +0.34 V)
- Anode Reduction Potential (E°)
- Standard reduction potential of the anode half-reaction (e.g., Zn²⁺/Zn = -0.76 V)
- Temperature
- Absolute temperature (25°C = 298.15 K)
- Electrons Transferred (n)
- Number of electrons transferred in the balanced redox reaction
- Product Ion Concentration
- Concentration of product ions for Nernst equation (Q numerator)
- Reactant Ion Concentration
- Concentration of reactant ions for Nernst equation (Q denominator)
How this is calculated
Formula
E = E° - (RT/nF) × ln(Q)Worked example, using the default values
- Identify Input Parameters4 parametersCathode Reduction Potential (E°) = 0.34, Anode Reduction Potential (E°) = -0.76, Temperature = 298.15, Electrons Transferred (n) = 2 = 6 input(s) provided
- Calculate Standard Cell PotentialStandard Cell Potential1.1 = 1.1
- Calculate Cell PotentialCell Potential1.1 = 1.1
- Calculate Nernst CorrectionNernst Correction0 = 0
- Calculate ΔGΔG-212.27 = -212.27
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Do I need to flip the sign of the anode potential before entering it?
No — enter both the cathode and anode potentials as their standard reduction potentials exactly as published (for example, Zn²⁺/Zn is −0.76 V, entered as −0.76, not +0.76). The formula E°cell = E°cathode − E°anode already accounts for the anode undergoing oxidation by subtracting it, so manually flipping the sign yourself would double-correct and give the wrong cell potential.
When does the Nernst correction actually change the cell potential from its standard value?
Only when product and reactant ion concentrations aren't both 1 M — with both left at their default of 1, the reaction quotient Q equals 1, ln(1) is 0, and the Nernst correction term is exactly zero, so cell potential equals standard cell potential. Changing either concentration input away from 1 M is what activates the correction and pulls the actual cell potential away from E°.
What does a negative Cell Potential (E) mean for the Spontaneous output?
The calculator flags spontaneous as true only when cell potential is greater than 0; a negative E means the reaction as written is not thermodynamically favorable under the given conditions, and the reverse reaction is favored instead. This ties directly to the sign of ΔG through ΔG = −nFE, since a negative E produces a positive (unfavorable) ΔG.
Why does the number of electrons transferred (n) matter so much to the results?
n appears in every downstream formula this calculator uses — it divides into the exponential Nernst correction term, and it multiplies directly into both the actual and standard Gibbs free energy calculations (ΔG = −nFE) as well as the equilibrium constant derivation (ln K = nFE°/RT). Getting n wrong doesn't just shift one output slightly; because it appears in different mathematical positions across three related formulas, an incorrect electron count skews the Nernst correction, both ΔG values, and log₁₀(K) all differently.
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