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                                                               Chapter 7 Obtaining and Preparing Samples for Analysis  211

                 pH-dependent solubility of metal oxides and hydroxides, and the solubility of
                 metal sulfides.
                     Separations based on the pH-dependent solubility of oxides and hydroxides are
                 usually accomplished using strong acids, strong bases, or NH 3 /NH 4 Cl buffers. Most
                 metal oxides and hydroxides are soluble in hot concentrated HNO 3 , although a few
                 oxides, such as WO 3 , SiO 2 , and SnO 2 remain insoluble even under these harsh con-
                 ditions. In determining the amount of Cu in brass, for example, an interference
                 from Sn is avoided by dissolving the sample with a strong acid. An insoluble residue
                 of SnO 2 remains that can then be removed by filtration.
                     Most metals will precipitate as the hydroxide in the presence of concentrated
                 NaOH. Metals forming amphoteric hydroxides, however, remain soluble in concen-
                 trated NaOH due to the formation of higher-order hydroxo-complexes. For exam-
                 ple, Zn 2 +  and Al 3 +  will not precipitate in concentrated NaOH due to the formation
                                      –
                           –
                 of Zn(OH) 3 and Al(OH) 4 . The solubility of Al 3 +  in concentrated NaOH is used to
                 isolate aluminum from impure bauxite, an ore of Al 2O 3. The ore is powdered and
                 placed in a solution of concentrated NaOH where the Al 2 O 3 dissolves to form
                        –
                 Al(OH) 4 . Other oxides that may be present in the ore, such as Fe 2 O 3 and SiO 2 , re-
                 main insoluble. After filtering, the filtrate is acidified to recover the aluminum as a
                 precipitate of Al(OH) 3 .
                     The pH of an NH 3 /NH 4 Cl buffer (pK a = 9.24) is sufficient to ensure the precip-
                 itation of most metals as the hydroxide. The alkaline earths and alkaline metals,
                 however, will not precipitate at this pH. In addition, metal ions that form soluble
                                                               2+
                                            2+
                                                 2+
                                                      2+
                 complexes with NH 3 , such as Cu , Zn , Ni , and Co , also will not precipitate
                 under these conditions.
                                        2–
                     Historically, the use of S as a precipitating reagent is one of the earliest exam-
                 ples of a separation technique. In Fresenius’s 1881 text, A System of Instruction in
                                           15
                 Quantitative Chemical Analysis, sulfide is frequently used as a means for separat-
                 ing metal ions from the remainder of the sample matrix. The importance of sulfide
                 as a precipitating reagent for separations is due to two factors: most metal ions, ex-
                 cept for the alkaline earths and alkaline metals, form insoluble sulfides; and the sol-
                 ubilities of these metal sulfides show a substantial variation. Since the concentration
                 of S 2–  is pH-dependent, control of pH was used to determine which metal ions
                 would precipitate. For example, in Fresenius’s gravimetric procedure for the deter-
                 mination of Ni in ore samples (see Figure 1.1 in Chapter 1 for a schematic diagram
                 of this procedure), sulfide is used three times as a means of separating Co 2+  and
                                                      2+
                            2+
                   2+
                 Ni from Cu and, to a lesser extent from Pb .
                 7 5   Separations Based on a Partitioning Between Phases
                   F.
                 The most important class of separation techniques is based on the selective parti-
                 tioning of the analyte or interferent between two immiscible phases. When a phase
                 containing a solute, S, is brought into contact with a second phase, the solute parti-
                 tions itself between the two phases.
                                                                                 7.18
                                            S phase 1t S phase 2
                 The equilibrium constant for reaction 7.18

                                                  [ S phase 2 ]
                                             K D =                                       partition coefficient
                                                  [ S phase 1 ]
                                                                                         An equilibrium constant describing the
                                                                                         distribution of a solute between two
                 is called the distribution constant, or partition coefficient. If K D is sufficiently large,  phases; only one form of the solute is used
                 then the solute will move from phase 1 to phase 2. The solute will remain in phase 1,  in defining the partition coefficient (K D ).
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