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330    ELECTROCHEMISTRY

                      Measurement with the hydrogen electrode    The SHE is the primary reference
                      electrode, so other half-cell potentials are measured relative to its potential. In practice,
                      if we wish to determine the value of E  O  then we construct a cell of the type
                                                        M n+ ,M
                                                       +
                                                                 n+
              Remember that the          Pt|H 2 (a = 1)|H (a = 1)||M (a = 1)|M
              proton is always sol-
              vated to form a hydro-  Worked Example 7.19 We immerse a piece of silver metal into a
                                      solution of silver ions at unit activity and at s.t.p. The potential across
              xonium ion, so a (H 3 O + )
              = a (H + ) .
                                      the cell is 0.799 V when the SHE is the negative pole. What is the
                                      standard electrode potential E  O  of the Ag , Ag couple?
                                                                         +
              The words unit activ-
                                      By definition
              ity here mean that
              the activity of silver
              ions is one (so the                 emf = E (positive electrode) − E (negative electrode)
              system perceives the
                                      Inserting values gives
              concentration to be
              1mol dm −3 ).
                                                       0.799 V = E  O   − E (SHE)
                                                                    +
                                                                  Ag ,Ag
              Just because a half-                     0.799 V = E  O
                                                                    +
              reaction appears in a                               Ag ,Ag
              table is no guarantee
                                      because E (SHE) = 0.
              that it will actually     The value of E      in this example is the standard electrode
                                                        +
              work; such potentials                   Ag ,Ag
                                      potential because a (Ag )
                                                         + = 1, and s.t.p. conditions apply. We say that
              are often calculated.
                                                 O
                                      E Ag ,Ag  = E Ag ,Ag  = 0.799 V versus the SHE. Most of the values of
                                         +
                                                   +
                                      E  O  in Table 7.7 were obtained in a similar way, although some were
              The SHE is sometimes
              erroneously called a    calculated.
                                        We should be aware from Table 7.8 that the SHE is an ideal device,
              normal hydrogen elec-
              trode (NHE).            and the electrode potential will not be exactly 0 V with non-standard
                                      usage.
                      Secondary reference electrodes
                      The SHE is experimentally inconvenient, so potentials are often measured and quoted
                      with respect to reference electrodes other than the SHE. By far the most common
                      reference is the saturated calomel electrode (SCE). We will usually make our choice
                      of reference on the basis of experimental convenience.


                                       The SCE
              Note that the ‘S’ of
              ‘SCE’ here does NOT
              mean ‘standard’, but    By far the most common secondary reference electrode is the SCE:
              ‘saturated’.
                                                         Hg|Hg Cl 2 |KCl(sat’d)|
                                                               2
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