Page 322 - Modern Analytical Chemistry
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1400-CH09  9/9/99  2:12 PM  Page 305






                                                                          Chapter 9 Titrimetric Methods of Analysis  305

                     The phenolphthalein end point is basic, occurring at a pH of approximately 8.3
                     and can be reached only if the titration proceeds to the third equivalence point
                     (Figure 9.19b); thus, we write
                                        3 ´moles citric acid = moles NaOH
                     Making appropriate substitutions for the moles of citric acid and moles of
                     NaOH gives the following equation
                                         3 ´ g citric acid
                                                              V
                                                       = M b  ´ b
                                             FW citric acid
                     which can be solved for the grams of citric acid
                         M b ´ V b ´ FW citric acid  (.   M)(0.01762 L)(192.13 g/mol)
                                                  0 04166
                                               =
                                   3                            3
                                               = 0 04701.   g citric acid
                     Since this is the grams of citric acid in a 50.00-mL sample, the concentration of
                     citric acid in the citrus drink is 0.09402 g/100 mL.


                     In an indirect analysis the analyte participates in one or more preliminary reac-
                 tions that produce or consume acid or base. Despite the additional complexity, the
                 stoichiometry between the analyte and the amount of acid or base produced or con-
                 sumed may be established by applying the conservation principles outlined in Sec-
                 tion 2C. Example 9.3 illustrates the application of an indirect analysis in which an
                 acid is produced.

                            9 3
                     EXAMPLE  .
                     The purity of a pharmaceutical preparation of sulfanilamide, C 6 H 4 N 2 O 2 S, can
                     be determined by oxidizing the sulfur to SO 2 and bubbling the SO 2 through
                     H 2 O 2 to produce H 2 SO 4 . The acid is then titrated with a standard solution of
                     NaOH to the bromothymol blue end point, where both of sulfuric acid’s acidic
                     protons have been neutralized. Calculate the purity of the preparation, given
                     that a 0.5136-g sample required 48.13 mL of 0.1251 M NaOH.

                     SOLUTION
                     Conservation of protons for the titration reaction requires that
                                       2 ´moles H 2 SO 4 = moles NaOH
                     Since all the sulfur in H 2 SO 4 comes from sulfanilamide, we use a conservation
                     of mass on sulfur to establish the following stoichiometric relationship.
                                       Moles C 6 H 4 N 2 O 2 S = moles H 2 SO 4
                     Combining the two conservation equations gives a single equation relating the
                     moles of analyte to the moles of titrant.

                                     2 ´moles C 6H 4N 2O 2S = moles NaOH
                     Making appropriate substitutions for the moles of sulfanilamide and moles of
                     NaOH gives
                                        2 ´g sulfanilamide
                                                               V
                                                        = M b  ´ b
                                           FW sulfanilamide
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