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Electrochemical thermodynamics     133


        and, as with the half-cell potentials, the LH reaction is subtracted from the RH to give the
        formal cell reaction. Minus the LH reaction is equivalent to reversing  the  reaction
        (writing it as an oxidation):
                       −
           RH Zn 2+ (aq)+2e → Zn (s)
                                  −
           −2LH 2Fe 2+ (aq)→2Fe 3+ (aq)+2e
        which is followed by combining species on the same side of the reaction arrows together
        and cancelling those which appear on both sides to give:
           2Fe 2+ (aq)+Zn 2+ (aq)→Zn (s)+2Fe 3+ (aq)

        which is the formal cell reaction.
           This should always result in the total charge on both sides of the reaction being equal
        and the removal of electrons from the equation. Balancing of this equation can also be
        achieved by reducing each half-cell reaction to a one-electron reduction. This results in
        the  same  cell  reaction, but with the amount  of reaction halved. It is important to
        remember this when calculating thermodynamic parameters for the formal cell reaction,
        as these are for the formal cell reaction as derived.



                                   Reference electrodes

        It is not possible to measure the potential of one half-cell, only the voltage between two
        half-cells (see Topic E3). However, changes in the potential of one half-cell (RH) can be
        measured by measuring cell potentials and choosing an LH half-cell which maintains a
        constant  potential  despite  small  changes  in  the amounts of its redox reagents. This is
        termed a reference electrode. Examples are given in Table 1.

                        Table 1. Examples of reference electrodes
        Electrode               Half-cell             Reaction
                                             −
        Silver/silver chloride   Ag(s)|AgCl(s)|Cl (aq, c=0.1
                                M)
                                              −
        Calomel (mercury/mercurous   Hg(l)|Hg 2 Cl 2 (s)|Cl (aq)
        chloride)   a
                                        +
        Hydrogen electrode b    Pt|H 2 (g)|H (aq)
        a Saturated calomel (SCE): using KCl(satd): sodium saturated calomel (SSCE): using NaCl(satd).
        b
         St andard hydrogen electrode (SHE):   , p H2 =1 atm.
        Reference electrodes have  large  concentrations of the ions and large reservoirs of the
        solid, liquid and gaseous reagents necessary for the redox reaction. Small changes in the
        amounts of these species make little difference to their activities  and  make  little
        difference to the electrode potential (see Topic E5).  The  standard  hydrogen  electrode
        (SHE) is not a very practical reference electrode,  as the platinum electrode is readily
        poisoned, hydrogen gas is explosive and requires bulky cylinders and the electrode
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