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The Nernst Equation

Key Concepts

  • The Nernst Equation allows us to calculate the voltage produced by any electrochemical cell given Eo values for its electrodes and the concentrations of reactants and products.

  • The general Nernst Equation: E = Eo -(RT/nF)lnQ
          Eo = standard electrochemical cell potential (voltage)
          R = ideal gas constant
          T = temperature
          n = moles of electrons
          F = Faraday constant = 96,485 C mol-1
          Q = mass-action expression (approximated by the equilibrium expression)

  • At 25oC the Nernst Equation is simplified to: E = Eo -(0.0592/n)logQ
          Eo = standard electrochemical cell potential (voltage)
          n = moles of electrons
          Q = mass-action expression (approximated by the equilibrium expression)

  • For a system at equilibrium at 25oC, E = 0 and the Nernst Equation is simplified to:
          Eo = (0.0592/n)logK
          Eo = standard electrochemical cell potential (voltage)
          n = moles of electrons
          K = equilibrium expression

Examples of Nernst Equation Calculations

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