Nernst equation calculator — enter the number of electrons transferred and any two of cell potential, standard potential and reaction quotient, and solve for the third (with optional temperature). For A-Level and IB electrochemistry. Runs in your browser.

RT-SCI-031 · Science

Nernst Equation Calculator

E = E° − (RT / nF) · ln Q
V
V

Enter n (electrons transferred) and any two of E, E° and Q — the calculator solves the third. Temperature defaults to 298.15 K (25 °C) if left blank.

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Tool information
Curriculum
English (global) — Cambridge International + IB
Built against
Cambridge International A-Level Chemistry 9701 + IB Diploma (2023–2025) — Electrochemistry
Unit system
SI primary; US/imperial readout below
First published
2 Jun 2026
Last updated
4 Sep 2026

How to Use the Nernst Equation Calculator

Enter the number of electrons

n is the number of moles of electrons transferred in the balanced half- or cell reaction — for example 2 for the Daniell cell. It is always required.

Enter two of E, E° and Q

Give any two of the cell potential E, the standard cell potential E°, and the reaction quotient Q. Leave the one you want to find blank.

Set the temperature (optional)

If you leave temperature blank the calculator uses 298.15 K (25 °C). Enter a value in K or °C for non-standard temperatures.

Read the result

The calculator returns the missing quantity in volts (or as a dimensionless Q). The Tool Information block lists the syllabus this is built against.

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The Nernst Equation

Nernst Equation

Example: A Daniell cell has E° = +1.10 V and transfers n = 2 electrons. At 298 K with a reaction quotient Q = 10, find the cell potential.

Using E = E° − (RT/nF) ln Q:

E = 1.10 − (8.314 × 298 / (2 × 96485)) × ln 10 ≈ 1.07 V

The Nernst equation gives the potential of an electrochemical cell when the conditions are not standard: E = E° − (RT/nF) ln Q. Here E is the actual cell (or electrode) potential, E° is the standard potential, R is the gas constant (8.314 J/mol·K), T is the absolute temperature, n is the number of electrons transferred, F is the Faraday constant (96 485 C/mol), and Q is the reaction quotient — the ratio of product to reactant activities at that moment. As a reaction proceeds and Q changes, the cell potential drifts away from E° until, at equilibrium, E reaches zero and the cell is "flat".

This calculator works in both directions: give it the standard potential and the reaction quotient to find the actual potential, or give it the measured potential to back out the quotient. Temperature defaults to 298.15 K (25 °C), the usual reference, but you can enter any value because the RT/nF term is temperature-dependent. The reaction quotient Q must be positive, since the equation takes its natural logarithm. All calculation happens in your browser, so nothing you type is uploaded and the tool works offline once loaded.

The Nernst equation is why a battery's voltage sags as it discharges — the reaction quotient climbs and the potential falls.

10 Facts About the Nernst Equation

01

The Nernst equation: E = E° − (RT/nF) ln Q.

02

It gives cell potential at non-standard conditions.

03

At 298 K it is often written E = E° − (0.0592/n) log Q.

04

At equilibrium E = 0 and Q = K.

05

F, the Faraday constant, is 96 485 C/mol.

06

n is the moles of electrons in the balanced reaction.

07

Named after Walther Nernst (1889).

08

It explains why a battery's voltage drops as it discharges.

09

Q uses concentrations (or pressures) at that instant.

10

This calculator runs in your browser — your working stays private.

Frequently Asked Questions

  • It is E = E° − (RT/nF) ln Q, which gives the potential of an electrochemical cell away from standard conditions. E° is the standard potential, R the gas constant, T the absolute temperature, n the electrons transferred, F the Faraday constant, and Q the reaction quotient.
  • n is the number of moles of electrons transferred in the balanced cell or half-reaction. For the Daniell cell (Zn + Cu²⁺ → Zn²⁺ + Cu) two electrons move, so n = 2. It must always be entered because it scales the RT/nF term.
  • Q is the ratio of product to reactant activities (often approximated by concentrations or partial pressures) at the moment you are interested in. It has the same form as the equilibrium constant K but uses current, not equilibrium, values. Q must be positive because the equation takes its logarithm.
  • No. If you leave temperature blank the calculator uses 298.15 K (25 °C), the standard reference. Enter a value in K or °C only if your problem is at a different temperature, since the RT/nF factor changes with T.
  • Substituting T = 298 K and converting ln to log₁₀ collapses RT/F × 2.303 into about 0.0592 V, giving E = E° − (0.0592/n) log Q. It is just the Nernst equation at room temperature, and this calculator uses the full form so it is correct at any temperature.
  • Yes. Enter n, the measured potential E and the standard potential E°, and leave Q blank — the calculator rearranges the equation to Q = exp((E° − E)nF/RT). This is how you can work backwards from a measured voltage.
  • At equilibrium the cell can do no more work, so E = 0 and the reaction quotient Q equals the equilibrium constant K. Setting E = 0 in the Nernst equation is the standard way to link E° to K.
  • Potentials E and E° are in volts. n and Q are dimensionless. Temperature is in kelvin (you may type °C and the tool converts). The constants R and F are built in.
  • The Tool Information block lists the exact syllabus — Cambridge A-Level Chemistry 9701 and IB Diploma electrochemistry. It is a study aid for checking your working, not a substitute for your official syllabus or teacher.
  • Completely free, with no account or usage limit. It runs entirely in your browser, collects no data, and works offline once the page has loaded.

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Method & sources

How it computes

E = E0 - (RT/zF) ln Q, published by Walther Nernst in 1889. Both constants in the prefactor are now exact: R since the 2019 SI redefinition, and the Faraday constant F = 96 485.332 12 C/mol as the product of the fixed elementary charge and Avogadro constant. The familiar 0.0592/z figure is that prefactor evaluated at 25 C, and it is wrong at any other temperature.

What this tool implements

  • The 0.0592 V shortcut is a 25 C value. The tool computes RT/zF at the temperature given rather than hard-coding it, because a membrane at 37 C is 0.0615.
  • Activities, not concentrations, appear in Q. In dilute solution the two coincide; in physiological ionic strength they do not.
  • Standard electrode potentials are quoted against the standard hydrogen electrode and are meaningless without that reference stated.

Sources

  • Nernst W. Die elektromotorische Wirksamkeit der Ionen. Zeitschrift fur Physikalische Chemie 1889;4:129-181.
  • Atkins P, de Paula J. Physical Chemistry — the standard treatment of the Nernst equation.
  • CODATA Faraday constant and molar gas constant, NIST — both exact since 2019: https://physics.nist.gov/cgi-bin/cuu/Value?f

What can make this go out of date

  • None at runtime.
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