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Nernst Equation Calculator

Calculate electrochemical cell potentials and equilibrium constants

Nernst Equation Calculations

V
K
e⁻

How to Use the Nernst Equation Calculator

Getting Started

  • Step 1: Select the calculation type (cell potential, equilibrium constant, or standard potential)
  • Step 2: Enter the known values (standard potential, temperature, electrons transferred)
  • Step 3: For cell potential calculations, enter the reaction quotient
  • Step 4: Click Calculate to get the electrochemical result

Electrochemistry Concepts

  • Cell Potential (E): Voltage produced by an electrochemical cell under given conditions
  • Standard Potential (E°): Cell potential under standard conditions (1 M, 1 atm, 25°C)
  • Reaction Quotient (Q): Ratio of product to reactant concentrations raised to their powers
  • Equilibrium Constant (K): Value of Q when the system is at equilibrium

Nernst Equation Forms

  • General Form: E = E° - (RT/nF) × ln(Q)
  • At 25°C: E = E° - (0.0257/n) × ln(Q)
  • Base 10 Form: E = E° - (0.0592/n) × log(Q)
  • Equilibrium: ln(K) = nFE°/RT

Common Applications

  • Battery Design: Predicting voltage output under different conditions
  • Corrosion Analysis: Understanding metal oxidation in various environments
  • Electroplating: Optimizing conditions for metal deposition
  • Analytical Chemistry: Ion-selective electrodes and potentiometric titrations

Frequently Asked Questions

How do I calculate the reaction quotient (Q)?

Q = [products]^coefficients / [reactants]^coefficients. Use the concentrations (for solutions) or partial pressures (for gases) of species in the balanced electrode reaction.

What happens when Q = K (at equilibrium)?

When Q = K, the cell potential E = 0. The system is at equilibrium and no net current flows. This is how we derive the relationship between E° and K.

Why does temperature affect cell potential?

Temperature appears in the RT/nF term of the Nernst equation. Higher temperatures generally decrease cell potential for spontaneous reactions (positive E°).

How do I determine the number of electrons transferred?

Count the electrons in the balanced half-reactions. For example, Zn → Zn²⁺ + 2e⁻ involves 2 electrons. Make sure your overall cell reaction is balanced.

What's the difference between galvanic and electrolytic cells?

Galvanic cells have positive E values and produce electricity spontaneously. Electrolytic cells have negative E values and require external energy input.

Can I use this for multi-electron processes?

Yes, just ensure you use the correct number of electrons (n) from your balanced equation. The Nernst equation works for any electrochemical process.

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