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                                                                          Chapter 9 Titrimetric Methods of Analysis  323

                 The first two sensors were discussed in Section 9B.3 for acid–base titrations and are
                 not considered further in this section.

                 Finding the End Point with a Visual Indicator  Most indicators for complexation
                 titrations are organic dyes that form stable complexes with metal ions. These dyes
                 are known as metallochromic indicators. To function as an indicator for an  metallochromic indicator
                 EDTA titration, the metal–indicator complex must possess a color different from  A visual indicator used to signal the end
                 that of the uncomplexed indicator. Furthermore, the formation constant for the  point in a complexation titration.
                 metal–indicator complex must be less favorable than that for the metal–EDTA
                 complex.
                                   m–
                     The indicator, In , is added to the solution of analyte, forming a colored
                 metal–indicator complex, MIn n-m . As EDTA is added, it reacts first with the free an-
                 alyte, and then displaces the analyte from the metal–indicator complex, affecting a
                 change in the solution’s color. The accuracy of the end point depends on the
                 strength of the metal–indicator complex relative to that of the metal–EDTA com-
                 plex. If the metal–indicator complex is too strong, the color change occurs after the
                 equivalence point. If the metal–indicator complex is too weak, however, the end
                 point is signaled before reaching the equivalence point.
                        Most metallochromic indicators also are weak acids or bases. The condi-
                 tional formation constant for the metal–indicator complex, therefore, depends on
                 the solution’s pH. This provides some control over the indicator’s titration error.
                 The apparent strength of a metal–indicator complex can be adjusted by controlling
                 the pH at which the titration is carried out. Unfortunately, because they also are
                 acid–base indicators, the color of the uncomplexed indicator changes with pH. For
                 example, calmagite, which we may represent as H 3 In, undergoes a change in color
                                  –
                                                  2–
                 from the red of H 2 In to the blue of HIn at a pH of approximately 8.1, and from
                              2–
                                                  3–
                 the blue of HIn to the red-orange of In at a pH of approximately 12.4. Since the
                 color of calmagite’s metal–indicator complexes are red, it is only useful as a metal-
                 lochromic indicator in the pH range of 9–11, at which almost all the indicator is
                             2–
                 present as HIn .
                     A partial list of metallochromic indicators, and the metal ions and pH condi-
                 tions for which they are useful, is given in Table 9.16. Even when a suitable indica-
                 tor does not exist, it is often possible to conduct an EDTA titration by introducing a
                 small amount of a secondary metal–EDTA complex, provided that the secondary
                 metal ion forms a stronger complex with the indicator and a weaker complex with
                 EDTA than the analyte. For example, calmagite can be used in the determination of




                  Table 9.16 Selected Metallochromic Indicators
                 Indicator                      Useful pH Range          Useful for

                 calmagite                          9–11                 Ba, Ca, Mg, Zn
                 Eriochrome Black T                7.5–10.5              Ba, Ca, Mg, Zn
                 Eriochrome Blue Black R            8–12                 Ca, Mg, Zn, Cu
                 murexide                           6–13                 Ca, Ni, Cu
                 PAN                                2–11                 Cd, Cu, Zn
                 salicylic acid                     2–3                  Fe
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