Page 345 - Modern Analytical Chemistry
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1400-CH09  9/9/99  2:13 PM  Page 328





              328    Modern Analytical Chemistry


                                                  Chloride is determined by titrating with Hg(NO 3 ) 2 , forming soluble HgCl 2 .
                                              The sample is acidified to within the pH range of 2.3–3.8 where diphenylcarbazone,
                                                                                    2+
                                              which forms a colored complex with excess Hg , serves as the visual indicator. Xy-
                                              lene cyanol FF is added as a pH indicator to ensure that the pH is within the desired
                                              range. The initial solution is a greenish blue, and the titration is carried out to a
                                              purple end point.

                                              Quantitative Calculations The stoichiometry of complexation reactions is given by
                                              the conservation of electron pairs between the ligand, which is an electron-pair
                                              donor, and the metal, which is an electron-pair acceptor (see Section 2C); thus

                                                 moles of electron pairs donated
                                                                           ´ moles ligand =
                                                         mole ligand
                                                                         moles of electron pairs accepted
                                                                                                    ´  moles metal
                                                                                 mole metal
                                              This is simplified for titrations involving EDTA where the stoichiometry is always
                                              1:1 regardless of how many electron pairs are involved in the formation of the
                                              metal–ligand complex.


                                                         9
                                                  EXAMPLE  .8
                                                  The concentration of a solution of EDTA was determined by standardizing
                                                  against a solution of Ca 2+  prepared from the primary standard CaCO 3 . A
                                                  0.4071-g sample of CaCO 3 was transferred to a 500-mL volumetric flask,
                                                  dissolved using a minimum of 6 M HCl, and diluted to volume. A 50.00-mL
                                                  portion of this solution was transferred into a 250-mL Erlenmeyer flask and the
                                                  pH adjusted by adding 5 mL of a pH 10 NH 3 –NH 4 Cl buffer containing a small
                                                              2+
                                                  amount of Mg –EDTA. After adding calmagite as a visual indicator, the
                                                  solution was titrated with the EDTA, requiring 42.63 mL to reach the end
                                                  point. Report the molar concentration of the titrant.

                                                  SOLUTION
                                                  Conservation of electron pairs for the titration reaction requires that
                                                                       Moles EDTA = moles Ca 2+
                                                                                                    2+
                                                  Making appropriate substitution for the moles of EDTA and Ca gives
                                                                      M EDTA ´V EDTA = M Ca ´V Ca
                                                                    2+
                                                  The molarity of the Ca solution is
                                                                                               .
                                                                                              0 4071  g
                                                       moles CaCO 3       g CaCO 3
                                                                   =                  =
                                                                                                      .
                                                           V flask   FW CaCO 3 ´ V flask  100.09 g/mol ´0 5000  L
                                                                      .
                                                                   = 8 135  ´10 -3   M Ca 2+
                                                  Substituting known values and solving for M EDTA gives
                                                                               50
                                                                 8
                                                         Ca
                                                       MV Ca    (.135  ´10 -3  M)( .00  mL)       -3
                                                              =                         = .541  ´10   M EDTA
                                                                                          9
                                                           V EDTA       42 .63  mL
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