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Nernst Reduction Potential from Activities
Calculate a half-cell reduction potential from activity ratio, temperature and electron count.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
With equal reduced and oxidized activities, the logarithmic term is zero. For E₀ = 0.5 V, the reduction potential is also 0.5 V.
E = E₀ − RT/(zF) ln(a_reduced/a_oxidized); R = 8.3144598 J/(mol·K), F = 96485.3399 C/mol.
Worked example
Enter these known values and leave the other values blank.
- Standard red. potential (E==0==)
- 0.5 V
- Temperature
- 25 °C
- Electrons transferred
- 2 mol
- Activity (reduced form)
- 1
- Activity (oxidized form)
- 1
- Reduction potential (E)
- 0.5 V
Assumptions and limitations
- Enter dimensionless activities under a common standard state, not uncorrected concentrations unless the ideal-activity approximation is appropriate.
- The simple reaction quotient is reduced-form activity divided by oxidized-form activity. More complicated stoichiometry must already be represented in those inputs.
- Temperature is absolute internally, electrons transferred must be a positive whole number, and both activities must be positive.
- R and F are the captured historical rounded constants stated in the formula. This tool does not claim current CODATA precision or uncertainty propagation.
- E₀ must refer to the same reaction, temperature convention and reference electrode as the desired potential.
Common questions
What happens when the two activities are equal?
The logarithm is zero, so E equals E₀.
Can I use concentrations instead of activities?
Only when an ideal-solution approximation is suitable and concentrations are converted to dimensionless standard-state ratios.
References
Declare the physical or stated approximation domain; captured arithmetic is unchanged.
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