Nernst equation calculator

The Nernst equation corrects a standard electrode potential for the concentrations actually present.

V
Cell potential
1.129 58V
≈ Rounded Nernst equation
Change per decade of Q
29.580 mV
Show the working
  1. Standard cell potential = 1.1
  2. Electrons transferred = 2
  3. Reaction quotient Q = 0.1
  4. Temperature = 25
  5. tk = 25 + 273.15 = 298.15
  6. slope = Rgas * 298.15 / (2 * Far) = 0.012 846 3
  7. Cell potential = 1.1 - 0.012 846 3 * ln(0.1) = 1.129 58
  8. Change per decade of Q = Rgas * 298.15 / (2 * Far) * ln(10) * 1000 = 29.5797

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • E = E0 - (R T / n F) ln Q
    • F = NA x e = 96485.33212... C/mol, exact

    At 25 degrees Celsius and one electron the slope works out at 59.16 mV per decade, the number every electrochemistry course quotes.

    Both R and the Faraday constant are exact under the 2019 SI, so the only uncertainty here is in your inputs.

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