What Is the Nernst Equation & Electrochemical Cell Potential Calculator?
The Nernst Equation was derived by Walther Nernst in 1889 and connects chemical thermodynamics with electrochemical electromotive force.
How Does the Nernst Equation & Electrochemical Cell Potential Calculator Work?
Chemical potential gradients drive electron transfer across electrodes. High reactant concentrations push Gibbs free energy ΔG more negative.
Nernst Equation & Electrochemical Cell Potential Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
E = E^{\circ} - \frac{RT}{nF} \ln(Q), \quad \Delta G = -nFE
Cell EMF E depends on standard potential E°, temperature T, electrons n, Faraday constant F, and reaction quotient Q.
How to Use the Nernst Equation & Electrochemical Cell Potential Calculator
- Input standard potential E° in Volts.
- Enter stoichiometric electron count n.
- Specify reaction quotient Q.
Step-by-Step Example Calculation
Daniell Galvanic Cell Discharge
Input Values:
standardPotential:1.10
electrons:2
quotient:0.01
temperature:25
Worked Steps: In a Daniell cell with Q = 0.01 at 25°C, cell potential rises from 1.10 V to 1.159 V due to favorable reactant concentration gradient.
Understanding Your Result
Actual Cell Potential: Operating EMF voltage under non-standard conditions.
Spontaneity: Indicates whether forward reaction discharges spontaneously (E > 0).
Factors That Affect the Result
- Ion concentration ratios and operating temperature.
When Should You Use This Calculator?
- Lithium-ion battery state-of-charge modeling, galvanic corrosion analysis, and pH probe sensor calibration.
Assumptions & Limitations
- Assumes ion concentrations approximate thermodynamic chemical activities.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard IUPAC electrochemistry formulation.