Page 347 - Modern Analytical Chemistry
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1400-CH09  9/9/99  2:13 PM  Page 330





              330    Modern Analytical Chemistry


                                                  SOLUTION
                                                  Conservation of electron pairs for the three titrations requires that for
                                                   Titration 1:  moles Ni = moles EDTA1  (Fe, Cr masked)

                                                   Titration 2:  moles Ni + moles Fe = moles EDTA2  (Cr masked)

                                                   Titration 3:  moles Ni + moles Fe + moles Cr + moles Cu = moles EDTA3
                                                  Note that the third titration is a back titration. Titration 1 can be used to
                                                  determine the amount of Ni in the alloy. Once the amount of Ni is known, the
                                                  amount of Fe can be determined from the results for titration 2. Finally,
                                                  titration 3 can be solved for the amount of Cr.

                                                  Titration 1
                                                                        g Ni
                                                                             = M EDTA1 ´V EDTA1
                                                                       AW Ni

                                                                    g Ni = M EDTA1 ´V EDTA1 ´ AW Ni

                                                                       .
                                                                                               .
                                                                                  .
                                                               0.05831 M ´0 02614  L ´58 69  g / mol =0 08946  g Ni
                                                  Titration 2
                                                                Moles EDTA1 + moles Fe =  moles EDTA2

                                                                  g Fe
                                                                        =  moles EDTA2 - moles EDTA1
                                                                 AW Fe

                                                           g Fe = (M EDTA2 ´V EDTA2 -M EDTA1 ´V EDTA1 )  ´
                                                                                                   AW Fe
                                                                                   0
                                                                                             0
                                                              0
                                                             (.05831  M ´ 0.03543 L - .05831  M ´ .02614  L)
                                                                        ´55 .847  g/mol = .03025  g Fe
                                                                                    0
                                                  Titration 3
                                                           Moles EDTA2 + moles Cr + moles Cu = moles EDTA3

                                                             g Cr
                                                                   =  moles EDTA3 - moles EDTA2 - moles Cu
                                                            AW Cr

                                                     g Cr = (M EDTA3 ´V EDTA3 -M EDTA2  ´V EDTA2  -M Cu  ´ V Cu )  AW Cr
                                                                                                         ´
                                                              (.05831  M ´ 0.05000 L - .05831  M ´ .03543  L
                                                                                   0
                                                              0
                                                                                              0
                                                                       0
                                                            0
                                                              –.06316  M ´ .00621  L) ´ 51.996 g/mol = 0.02378 g Cr
                                                  Each of these titrations was conducted on a 50.00-mL aliquot of the original
                                                  250.0-mL sample. The mass of each analyte, therefore, must be corrected by
                                                  multiplying by a factor of 5. Thus, the grams of Ni, Fe, and Cr in the original
                                                  sample are
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