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                                                                          Chapter 9 Titrimetric Methods of Analysis  343

                                            9
                                      Table  .20 Standardization Reactions for
                                                   Selected Redox Titrants
                                         Titration Reaction

                                         Ce 4+  +Fe 2+  ® Ce 3+  +Fe 3+
                                         2Ce 4+  +H 2 C 2 O 4 +2H 2 O ® 2Ce 3+  + 2CO 2 +2H 3 O +
                                             –
                                         MnO 4 + 5Fe 2+  +8H 3 O ® Mn 2+  + 5Fe 3+  + 12H 2 O
                                                         +
                                         2MnO 4 +5H 2 C 2 O 4 +6H 3 O ® 2Mn 2+  + 10CO 2 + 14H 2 O
                                                            +
                                              –
                                          –     2–   –     2–
                                         I 3 +2S 2 O 3  ® 3I +S 4 O 6
                                                2–   –    2–
                                         I 2 +2S 2 O 3  ® 2I +S 4 O 6
                     Potassium dichromate is a relatively strong oxidizing agent whose principal ad-
                 vantages are its availability as a primary standard and the long-term stability of its
                                                                             4+
                                                                       –
                 solutions. It is not, however, as strong an oxidizing agent as MnO 4 or Ce , which
                 prevents its application to the analysis of analytes that are weak reducing agents. Its
                 reduction half-reaction is
                                2–
                                             +
                                                           3+
                                                     –
                           Cr 2 O 7 (aq) + 14H 3 O (aq)+6e t 2Cr (aq) + 21H 2 O(l)
                                        2–
                 Although solutions of Cr 2 O 7 are orange and those of Cr 3+  are green, neither color
                 is intense enough to serve as a useful indicator. Diphenylamine sulfonic acid, whose
                 oxidized form is purple and reduced form is colorless, gives a very distinct end
                                    2–
                 point signal with Cr 2 O 7 .
                     Iodine is another commonly encountered oxidizing titrant. In comparison with
                      –
                          4+
                                      2–
                 MnO 4 , Ce , and Cr 2 O 7 , it is a weak oxidizing agent and is useful only for the
                 analysis of analytes that are strong reducing agents. This apparent limitation, how-
                 ever, makes I 2 a more selective titrant for the analysis of a strong reducing agent in
                 the presence of weaker reducing agents. The reduction half-reaction for I 2 is
                                                        –
                                                   –
                                          I 2 (aq)+2e t 2I (aq)
                     Because of iodine’s poor solubility, solutions are prepared by adding an excess
                    –
                 of I . The complexation reaction
                                                         –
                                                 –
                                         I 2 (aq)+I (aq) t I 3 (aq)
                                                                               –
                 increases the solubility of I 2 by forming the more soluble triiodide ion, I 3 . Even
                                         –
                 though iodine is present as I 3 instead of I 2 , the number of electrons in the reduc-
                 tion half-reaction is unaffected.
                                                        –
                                                   –
                                           –
                                          I 3 (aq)+2e t 3I (aq)
                             –
                 Solutions of I 3 are normally standardized against Na 2 S 2 O 3 (see Table 9.20) using
                                            –
                 starch as a specific indicator for I 3 .
                                                          2–
                                               –
                                                   4+
                                                                 –
                     Oxidizing titrants such as MnO 4 , Ce , Cr 2 O 7 and I 3 , are used to titrate ana-
                 lytes that are in a reduced state. When the analyte is in an oxidized state, it can be
                 reduced with an auxiliary reducing agent and titrated with an oxidizing titrant. Al-
                 ternatively, the analyte can be titrated with a suitable reducing titrant. Iodide is a
                 relatively strong reducing agent that potentially could be used for the analysis of an-
                                                                   –
                 alytes in higher oxidation states. Unfortunately, solutions of I cannot be used as a
                                                                       –
                                                                  –
                 direct titrant because they are subject to the air oxidation of I to I 3 .
                                           –
                                                   –
                                          3I (aq) t I 3 (aq)+2e –
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