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               166                                                                                    Electrochemistry


               in the concentration of the electroactive species. Another  metal as a surface. However, during the past 50 years, it
               important point is that the potential response is directly  has become evident that platinum electrodes are not as in-
               dependent on the temperature of the measuring system.  ert as long believed and that their potentiometric response
               Thus, if the correct temperature is not used in the Nernst  is frequently dependent on the history of the surface and
               expression, large absolute errors can be introduced in the  the extent of its activation. The evidence is convincing that
               measurement of the activity for an electroactive species.  platinum electrodes, and, in fact, all metal electrodes, are
                                                                 covered with an oxide film that changes its characteristics
                                                                 with time. Nonetheless, the platinum electrode continues
               B. Electrode Systems                              to enjoy wide popularity as an “inert” indicator of redox
                                                                 reactions and of the activities of the ions involved in such
               The indicator electrodes for potentiometric measurements
                                                                 reactions.
               traditionally have been categorized into four separate
                                                                   For those redox couples that involve a metal ion plus
               classes. “First-class” electrodes consist of a metal im-
                                                                 the metal, the logical electrode system is the metal itself.
               mersed in a solution that contains the metal ion. These
                                                                 In other words, if the measured quantity is to be cupric
               electrode systems provide a direct response to the ion or
                                                                 ion [copper (II)], a practical indicator electrode is a piece
               species to be measured,
                                                                 of copper metal. All second-class electrodes involve an
                        RT
                     ◦          n+        n+    −                active metal in combination with an insoluble compound
               E = E +     ln [M  ];    M   + ne      M (s).
                        nF                                       or salt. Thus, the silver/silver-chloride electrode actually
                                                         (40)
                                                                 is a silver/silver-ion electrode system that incorporates the
               Therefore, the primary electrode reaction includes the
                                                                 means to control the silver-ion concentration through the
               sensed species. Such electrodes give a direct response ac-
                                                                 chloride-ion concentration [Eq. (41)].
               cording to the Nernst equation for the logarithm of the
                                                                   Anumberofthemostcommonpotentiometricelectrode
               activity of the species.
                                                                 systems and their applications are summarized in Table I.
                 Electrodes classified as “second-class” electrode sys-
                                                                 One of the most important and extensively used indicator
               tems are those in which the electrode is in direct contact
                                                                 electrode systems is the glass-membrane electrode that is
               with a slightly soluble salt of the electroactive species
                                                                 used to monitor hydronium-ion activity. Although devel-
               such that the potentiometric response is indicative of the
                                                                 oped in 1909, it did not become popular until reliable elec-
               concentration of the inactive anion species. Thus, the
                                                                 trometer amplifiers were developed in the 1930s (modern
               silver/silver-chloride electrode system, which is represen-
                                                                 pH meters use high-input-impedance digital voltmeters).
               tative of this class of electrodes, gives a potential response
                                                                 Figure  1  gives  a  schematic  representation  of  this  elec-
               that is directly related to the logarithm of the chloride ion
                                                                 trode and indicates that the primary electrode system is
               activity,
                                                                 a silver/silver-chloride (or mercury/mercurous-chloride)
                        RT                                       electrode in contact with a known and fixed concentra-
                    ◦          −             −             −
               E = E −     ln [Cl ]; AgCl (s) + e  Ag (s) + Cl ,  tion of hydrochloric acid (usually about 0.1 M). When
                        nF
                                                         (41)
               even though it is not the electroactive species. This is true
                                                                                                        +
                                                                                                   I
               because the chloride-ion concentration, through the solu-  TABLE I Redox Potentials (E ) for the M (OH 2 ) /M and
                                                                                         ◦
                                                                                                        2
                                                                   I
                                                                           −
               bility product, controls the activity of the silver ion, which  M OH/M, HO Couples of Cu, Ag, and Au in H 2 O and in MeCN
                                                                 (0.1 M Tetraethylammonium Perchlorate)
               is measured directly by the potentiometric silver-electrode
                                                                                                ◦
               system.                                                                        E ,VvsNHE a
                 Becauseanypotentiometricelectrodesystemultimately            M         M (solv) /M  M OH/M, HO −
                                                                                          I
                                                                                              +
                                                                                                     I
                                                                                              n
               must have a redox couple (or an ion-exchange process
               in the case of membrane electrodes) for a meaning-  A. H 2 O  Cu            +0.52       −0.36
               ful response, the most common form of potentiometric      Ag                +0.80       +0.34
               electrode systems involves oxidation-reduction processes.  Au               +1.7
                                                                           +
               Hence, to monitor the activity of ferric ion [iron(III)], an  H O·/H 2 O;
                                                                           2
                                                                                 −
               excess of ferrous ion [iron(II)] is added such that the con-  HO·/HO (GC)   +2.72       +1.89
               centration of this species remains constant to give a di-  B. MeCN  Cu      +0.19       −0.79
               rect Nernstian response for the activity of iron(III). For  Ag              +0.54       −0.30
               such redox couples the most common electrode system       Au                +1.58       −0.19
                                                                           +
               has been the platinum electrode. This tradition has come  H O·(MeCN)/H 2 O;
                                                                           2
                                                                                 −
                                                                           HO·/HO (GC)     +3.2        +0.92
               about primarily because of the historic belief that the plat-
               inum electrode is totally inert and involves only the pure  a  SCE =+0.24 V vs NHE.
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