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              Electrochemistry                                                                            169

              circumstances, none of these provides the reliability and  sure of metal-ion activity. If one is concerned purely with
              precision that is afforded by the glass electrode. In the ab-  the actual activity of free metal ion, these measurements
              sence of interfering substances, the quinhydrone electrode  are meaningful. However, if the measurement is taken to
              (an equimolar combination of quinone and hydroquinone  represent the total metal-ion content of the solution, both
              with a gold-foil electrode) provides a simple monitoring  as a free solvated ion and as its various complexes, then
              system for measurements up to pH 8. However, the pres-  highly erroneous conclusions can be made. Thus, the abil-
              ence of oxidizing or strongly reducing ions in the sample  ity to monitor the concentration of ligands should be rec-
              system will interfere, as is true for the hydrogen gas elec-  ognized as a pitfall if one does not take account of this in
              trode and most other systems that are an alternative to the  the use of potential measurements to monitor metal-ion
              glass electrode.                                  concentrations.
                Potentiometric redox measurements are often per-  A recent and rapidly developing extension of poten-
              formed in nonaqueous or mixed-solvent media. For such  tiometry is in the area of membrane-type indicator elec-
              solvents, various potentiometric sensors have been devel-  trodes. These include (1) specialized glass electrodes that
              oped, which, under rigorously controlled conditions, give  respond to ions other than the hydronium ion, (2) ion-
              a Nernstian response over a wide ranges of activities (par-  exchange membranes, and (3) single-inorganic-crystal
              ticularly in buffered solutions). There are some experi-  membranes. Each year the selectivity and reliability are
              mental limitations, e.g., solvent purification and handling  improved for this important class of electrode. In partic-
              or use of a reference electrode without salt bridges, but  ular, the development of ion-exchange membranes that
              there are important advantages. Solutes may be more sol-  provide selective response for a number of anions has
              uble in such media, and redox properties of the species  made new areas of analysis amenable to potentiometric
              may be altered in comparison with aqueous solutions.  measurements. This has been particularly important for
              Measurements of pH in nonaqueous solvents almost with-  the biomedical field where nondestructive, highly specific
              out exception use the glass electrode in combination  poteniometric measurements are desirable. Furthermore,
              with an appropriate reference electrode, frequently the  the potentiometric method, because of its continuous na-
              silver/silver-chloride electrode. In general, the response  ture, is particularly attractive to those concerned with in
              of the glass electrode follows the Nernst expression in  vivo monitoring of biological substances.
              nonaqueous solvents and is an accurate representation of  Because potentiometry (through the Nernst equation)
              the changes in activity of hydronium ion. Unfortunately,  gives a response that is proportional to the logarithm of
              few, if any, standard buffers are available to calibrate pH  the activity of the electroactive ion, the accuracy and pre-
              meters for nonaqueous measurements. Thus, nonaqueous  cision are more limited than for many methods that give
              pH measurements are only meaningful for monitoring the  a direct proportional response. Thus, for a one-electron
              course of an acid-base titration or relative to some refer-  redox process, an order of magnitude change in activity
              ence measurement made within the individual laboratory.  givesapotentialchangeof59.1mV(atroomtemperature),
              Little, if any, confidence can be attached to absolute pH  a 10% change in activity gives a change of 2.5 mV, and a
              measurements in nonaqueous systems. The application of  l% change in activity gives only a change of 0.25 mV.
              ion-selective electrodes in nonaqueous media has been  Potentiometry has found extensive application over the
              limited, but the response for several cations and anions  past 50 years as a means to evaluate various thermody-
              is usable, especially when 10–20% of water is added to  namic parameters. Although this is not the major appli-
              purenonaqueous solvent. Limited use ofliquid-membrane  cation of the technique today, it still provides one of the
              electrodes in such media arises from the solubility of  most convenient and reliable approaches to the evalua-
              electrode-system components in organic media.     tion of thermodynamic quantities. In particular, the ac-
                Second-class electrodes, that is those whose response  tivity coefficients of electroactive species can be evalu-
              is dependent on the change in concentration of an anion  ated directly through the use of the Nernst equation (for
              which gives an insoluble salt with the metal ion of the  species that give a reversible electrochemical response).
              indicator electrode, provide a general means for moni-  Thus, if an electrochemical system is used without a junc-
              toring the concentrations of anions. Some of those half  tion potential and with a reference electrode that has a
              reactions, which are well behaved electrochemically and  well-established potential, then potentiometric measure-
              provide means for the potentiometric monitoring of anion  ment of the constituent species at a known concentration
              species,aresummarizedinTableI.Thistablealsoincludes  provides a direct measure of its activity. This provides a
              a tabulation of redox reactions that are useful to moni-  direct means to evaluate the activity coefficient (assuming
              tor the concentration of ligands that can complex metal  the standard potential is known accurately for the con-
              ions. Consideration of these indicates one of the difficul-  stituent half reaction). If the standard half-reaction poten-
              ties with absolute potentiometric measurements as a mea-  tial is not available, it must be evaluated under conditions
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