Page 151 - Instant notes
P. 151

E5
                     ELECTROCHEMISTRY AND ION
                               CONCENTRATION



        Key Notes
                                The cell voltage and half-cell potentials depend on the activity of
                                the ions in the cell reaction and the half-cell reaction. The
                                relationships linking cell voltage and activity and half-cell
                                potential and activity are the Nernst equations for cell and half-
                                cell respectively.
                                An electrochemical cell at equilibrium has no cell voltage. This
                                means that the equilibrium constant for the cell reaction can be
                                obtained from the standard cell voltage,   .
                                Measurements of cell voltages as a function of ionic
                                concentration can be used to determine the mean activity
                                coefficient of the ions in the cell reaction at each concentration.
                                The standard cell voltage can also be found, as the ionic
                                concentrations tend to zero.
                                Electrolyte concentration cells have a cell reaction that involves
                                the movement of an ion from a solution of one concentration to
                                another. The Nernst equation for this cell allows the free energy
                                change for this process to be calculated. The cell voltage
                                corresponds to the voltage set up between these two solutions
                                across a membrane which allows only this ion to pass through it.
                                Cells that contain the hydrogen electrode half-cell show a
                                dependence of the cell voltage on pH given by the Nernst
                                equation. This equation can be used to convert between the
                                standard state and the biological standard state. A cell consisting
                                of the hydrogen electrode and a reference electrode could in
                                principle be used to measure changes in the pH of a solution.
                                Practical difficulties mean that a cell consisting of the glass
                                electrode and a reference electrode is preferred.

         Related topics         Thermochemistry (B3)   Thermodynamics of ions in
                                                       solution (E2)
                                Free energy (B6)
                                Fundamentals of equilibria   Electrochemical thermodynamics
                                (C1)                   (E4)
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