Page 270 - Modern Analytical Chemistry
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1400-CH08  9/9/99  2:18 PM  Page 253






                                                                         Chapter 8 Gravimetric Methods of Analysis  253

                         Moles Mg = moles Mg(C 9 H 6 NO) 2         Moles Al = moles Al(C 9 H 6 NO) 3
                           g Mg      g Mg(C H NO) 2                   g Al     g Al(C H NO) 3
                                             6
                                           9
                                                                                      6
                                                                                    9
                                 =                                         =
                          AW Mg     FW Mg(C H NO) 2                  AW Al    FW Al(C H NO) 3
                                            9
                                              6
                                                                                     9
                                                                                       6
                                    g Mg(C H NO) 2 ´ AW Mg                    g Al(C H NO) 3 ´  AW Al
                                          9
                                            6
                             g Mg =                                    g Al =      9  6
                                       FW Mg(C H NO) 2                          FW Al(C H NO) 3
                                               9
                                                  6
                                                                                        9
                                                                                          6
                                    .
                                    7 5125  g ´ 24.305 g/mol                 0 .3029 g ´ 26.982 g /mol
                                 =                                         =
                                        312.61 g/mol                              459.45 g /mol
                                    .
                                 = 0 5841  g                               = 0 0178  g
                                                                              .
                                     g Mg                                      g Al
                            %Mg =          ´100                        %Al =          ´100
                                    g sample                                  g sample
                     0 5841  g                                 0 0178  g
                      .
                                                               .
                            ´100  =95 55   w/w Mg                     ´100  =2 91   w/w Al
                                     .%
                                                                              .%
                      0.6113 g                                  0.6113 g
                     In an indirect analysis the precipitate does not contain the analyte, but is the
                 product of a reaction involving the analyte. Despite the additional complexity, a
                 stoichiometric relationship between the analyte and the precipitate can be written
                 by applying the conservation principles discussed in Section 2C.
                     EXAMPLE 8. 3
                     An impure sample of Na 3 PO 3 weighing 0.1392 g was dissolved in 25 mL of
                     water. A solution containing 50 mL of 3% w/v mercury(II) chloride, 20 mL of
                     10% w/v sodium acetate and 5 mL of glacial acetic acid was then prepared. The
                     solution containing the phosphite was added dropwise to the second solution,
                                3–      3–
                     oxidizing PO 3  to PO 4  and precipitating Hg 2 Cl 2 . After digesting, filtering,
                     and rinsing, the precipitated Hg 2 Cl 2 was found to weigh 0.4320 g. Report the
                     purity of the original sample as %w/w Na 3 PO 3 .
                     SOLUTION
                     This is an example of an indirect analysis since the isolated precipitate, Hg 2 Cl 2 ,
                     does not contain the analyte, Na 3 PO 3 . The stoichiometry of the redox reaction
                     in which Na 3 PO 3 is a reactant and Hg 2 Cl 2 is a product was given earlier in the
                     chapter. It also can be determined by using the conservation of electrons.
                                                               3–             3–
                     Phosphorus has an oxidation state of +3 in PO 3  and +5 in PO 4 ; thus,
                                3–      3–
                     oxidizing PO 3  to PO 4  requires two electrons. The formation of Hg 2 Cl 2 by
                     reduction of HgCl 2 requires 2 electrons as the oxidation state of each mercury
                                                                3–
                     changes from +2 to +1. Since the oxidation of PO 3  and the formation of
                     Hg 2 Cl 2 both require two electrons, we have
                                        Moles Na 3 PO 3 = moles Hg 2 Cl 2
                     Converting from moles to grams leaves us with

                                                           2
                                              3
                                          g Na PO 3    g Hg Cl 2
                                                    =
                                                            2
                                            FW Na PO 3  FW Hg Cl 2
                                               3
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