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                                                                          Chapter 9 Titrimetric Methods of Analysis  335

                                   9 7
                            Table  .1    Data for Titration of 50.0 mL of              1.8
                                         0.100 M Fe 2+  with 0.100 M Ce 4+             1.6
                                                                                       1.4
                           Volume Ce 4+               Volume Ce 4+                    E  1.2
                              (mL)          E (V)        (mL)          E (V)             1
                                                                                       0.8
                               5.00         0.711        55.00         1.64
                                                                                       0.6
                              10.00         0.731        60.00         1.66                0   20   40   60   80  100
                              15.00         0.745        65.00         1.67                       Volume of Ce 4+
                              20.00         0.757        70.00         1.68
                              25.00         0.767        75.00         1.68             Figure 9.34
                                                                                        Redox titration curve for 50.0 mL of 0.100 M
                              30.00         0.777        80.00         1.69
                                                                                        Fe 2+  with 0.100 M Ce 4+  in 1 M HClO 4 .
                              35.00         0.789        85.00         1.69
                              40.00         0.803        90.00         1.69
                              45.00         0.823        95.00         1.70
                              50.00         1.23        100.00         1.70






                 Sketching a Redox Titration Curve As we have done for acid–base and complexo-
                 metric titrations, we now show how to quickly sketch a redox titration curve using a
                 minimum number of calculations.



                            9
                     EXAMPLE  .11
                     Sketch a titration curve for the titration of 50.0 mL of 0.100 M Fe 2+  with 0.100
                     M Ce 4+  in a matrix of 1 M HClO 4 . This is the same titration for which we
                     previously calculated the titration curve (Table 9.17 and Figure 9.34).

                     SOLUTION
                     We begin by drawing axes for the titration curve (Figure 9.35a). Having shown
                     that the equivalence point volume is 50.0 mL, we draw a vertical line
                     intersecting the x-axis at this volume (Figure 9.35b).
                        Before the equivalence point, the solution’s electrochemical potential is
                     determined by the concentration of excess Fe 2+  and the concentration of Fe 3+
                     produced by the titration reaction. Using values from Table 9.17, we plot E for
                     5.0 mL and 45.0 mL of titrant (Figure 9.35c).
                        After the equivalence point, the solution’s electrochemical potential is
                                                                                  3+
                     determined by the concentration of excess Ce 4+  and the concentration of Ce .
                     Using values from Table 9.17, we plot points for 60.0 mL and 80.0 mL of titrant
                     (Figure 9.35d).
                        To complete an approximate sketch of the titration curve, we draw
                     separate straight lines through the two points before and after the equivalence
                     point (Figure 9.35e). Finally, a smooth curve is drawn to connect the three
                     straight-line segments (Figure 9.35f).
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