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                                                                          Chapter 9 Titrimetric Methods of Analysis  339

                     The most important class of redox indicators, however, are substances that
                 do not participate in the redox titration, but whose oxidized and reduced forms
                 differ in color. When added to a solution containing the analyte, the indicator im-
                 parts a color that depends on the solution’s electrochemical potential. Since the
                 indicator changes color in response to the electrochemical potential, and not to
                 the presence or absence of a specific species, these compounds are called general
                 redox indicators.                                                       redox indicator
                     The relationship between a redox indicator’s change in color and the solution’s  A visual indicator used to signal the end
                                                                                         point in a redox titration.
                 electrochemical potential is easily derived by considering the half-reaction for the
                 indicator
                                                   –
                                            In ox + ne t In red
                 where In ox and In red are, respectively, the indicator’s oxidized and reduced  1.800
                 forms. The Nernst equation for this reaction is                       1.400
                                                                                       1.200
                                                 . 0 05916  [ In red ]                Potential (V) 1.600  Ferroin
                                                                                       1.000
                                       °
                                  E =  E In ox /  -    log                             0.800            Diphenylamine
                                          In red
                                                  n       [In ox ]                     0.600             sulfonic acid
                                                                                       0.400
                 If we assume that the indicator’s color in solution changes from that of In ox to  0.200
                                                                                       0.000
                 that of In red when the ratio [In red]/[In ox] changes from 0.1 to 10, then the end
                                                                                            0   20   40  60   80  100
                 point occurs when the solution’s electrochemical potential is within the range
                                                                                                Volume of titrant (mL)
                                                     . 0 05916                          Figure 9.37
                                            °
                                       E =  E In ox /  In red  ±
                                                       n                                Titration curve for 50.00 mL of 0.0500 M
                                                                                        Fe 2+  with 0.0500 M Ce 4+  showing the range
                 A partial list of general redox indicators is shown in Table 9.18. Examples of  of E and volume of titrant over which the
                 appropriate and inappropriate indicators for the titration of Fe 2+  with Ce 4+  indicators ferroin and diphenylamine sulfonic
                                                                                        acid are expected to change color.
                 are shown in Figure 9.37.
                 Finding the End Point Potentiometrically  Another method for locating the
                 end point of a redox titration is to use an appropriate electrode to monitor the
                 change in electrochemical potential as titrant is added to a solution of analyte.
                                                                                         Buret   Reference
                 The end point can then be found from a visual inspection of the titration        electrode
                 curve. The simplest experimental design (Figure 9.38) consists of a Pt indica-           Potentiometer
                 tor electrode whose potential is governed by the analyte’s or titrant’s redox
                 half-reaction, and a reference electrode that has a fixed potential. A further             Pt indicator
                 discussion of potentiometry is found in Chapter 11.                                         electrode




                         9
                  Table  .18 Selected General Redox Indicators
                 Indicator                       Oxidized Color  Reduced Color  E° (V)
                 indigo tetrasulfonate           blue           colorless      0.36
                 methylene blue                  blue           colorless      0.53
                 diphenylamine                   violet         colorless      0.75
                 diphenylamine sulfonic acid     red-violet     colorless      0.85
                 tris(2,2’-bipyridine)iron       pale blue      red            1.120
                 ferroin                         pale blue      red            1.147
                                                                                        Figure 9.38
                 tris(5-nitro-1,10-phenanthroline)iron  pale blue  red-violet  1.25
                                                                                        Experimental arrangement for recording a
                                                                                        potentiometric redox titration curve.
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