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                                                                         Chapter 8 Gravimetric Methods of Analysis  267


                      8H PROBLEMS


                  1. Starting with the equilibrium constant expressions for  Experiment 2. When equal volumes of 1.5 M Ba(SCN) 2 and
                    reactions 8.1, and 8.3–8.5, verify that equation 8.7 is correct.  1.5 M MgSO 4 are mixed, a curdy precipitate immediately
                                                                        forms. Individual particles of BaSO 4 can be seen as points
                  2. Equation 8.7 shows how the solubility of AgCl varies as a
                                                       –
                    function of the equilibrium concentration of Cl . Derive a  under magnification at 1500´.
                    similar equation to describe the solubility of AgCl as a  Experiment 3. When equal volumes of 0.0005 M Ba(SCN) 2
                                                       +
                    function of the equilibrium concentration of Ag . Graph the  and 0.0005 M MgSO 4 are mixed, the complete precipitation
                    resulting solubility function and compare it with that shown  of BaSO 4 requires 2–3 h. Individual crystals of BaSO 4 obtain
                    in Figure 8.1.                                      lengths of approximately 0.005 mm.
                  3. Derive a solubility diagram (solubility versus pH) for  7. Aluminum can be determined gravimetrically by precipitating
                    Zn(OH) 2 that takes into account the following soluble zinc  as Al(OH) 3 and isolating as Al 2 O 3 . A sample containing
                                           +
                                                   –
                                                           2–
                    hydroxide complexes: Zn(OH) , Zn(OH) 3 , Zn(OH) 4 .  approximately 0.1 g of Al is dissolved in 200 mL of H 2 O and
                    What is the optimum pH for the quantitative precipitation of  5 g of NH 4 Cl and a few drops of methyl red indicator is added
                    Zn(OH) 2 ?                                          (methyl red is red at pH levels below 4 and yellow at pH levels
                                                                        above 6). The solution is heated to boiling, and 1:1 NH 3 is
                  4. For what pH range will the following precipitates have their
                                                                        added dropwise till the indicator turns yellow, precipitating
                    lowest solubility?
                                                                        Al(OH) 3. The precipitate is held at the solution’s boiling point
                     a. CaC 2 O 4
                                                                        for several minutes, filtered, and washed with a hot solution
                    b. PbCrO 4
                                                                        of 2%, w/v NH 4 NO 3. The precipitate is then ignited at
                     c. BaSO 4
                                                                        1000–1100 °C, forming Al 2O 3.
                    d. SrCO 3
                                                                        (a) Cite two ways in which this procedure has been designed
                     e. ZnS
                                                                        to encourage the formation of larger particles of precipitate.
                  5. When solutions of 1.5 M KNO 3 and 1.5 M HClO 4 are mixed,  (b) The ignition step must be carried out carefully to ensure
                                                             –
                    a white precipitate of KClO 4 is formed. If traces of MnO 4 are
                                                                        that Al(OH) 3 is quantitatively converted to Al 2O 3 . What effect
                    present, an inclusion of KMnO 4 is possible. Impure
                                                                        would an incomplete conversion have on the reported %w/w
                    precipitates of KClO 4 are colored purple by the included
                                                                        Al? (c) What role do NH 4Cl and methyl red indicator play in
                    KMnO 4 . Following are the descriptions and results for two
                                                                        this procedure? (d) An alternative procedure involves
                    experiments in which KClO 4 is precipitated in the presence of  isolating and weighing the precipitate as the 8-
                         –
                    MnO 4 . Explain why the two experiments lead to different
                                                                        hydroxyquinolate, Al(C 9 H 6ON) 3. Why might this be a more
                    results (see Color Plate 6).
                                                                        advantageous form of Al for a gravimetric analysis?
                    Experiment 1. Place 1 mL of 1.5 M KNO 3 in a test tube, add
                                                                      8. Calcium is determined gravimetrically by precipitating it as
                    3 drops of 0.1 M KMnO 4 , and swirl to mix. Add 1 mL of 1.5
                                                                        CaC 2 O 4× H 2 O, followed by isolating the precipitate as CaCO 3 .
                    M HClO 4 dropwise, agitating the solution between drops.
                                                                        The sample to be analyzed is dissolved in 10 mL of water and
                    Destroy the excess KMnO 4 by adding 0.1 M NaHSO 3
                                                                        15 mL of 6 M HCl. After dissolution, the resulting solution is
                    dropwise. The resulting precipitate of KClO 4 has an intense
                                                                        heated to boiling, and a warm solution of excess ammonium
                    purple color.
                                                                        oxalate is added. The solution is maintained at 80 °C, and 6 M
                    Experiment 2. Place 1 mL of 1.5 M HClO 4 in a test tube, add   NH 3 is added dropwise, with stirring, until the solution is
                    3 drops of 0.1 M KMnO 4, and swirl to mix. Add 1 mL of 1.5  faintly alkaline. The resulting precipitate and solution are
                    M KNO 3 dropwise, agitating the solution between drops.  removed from the heat and allowed to stand for at least 1 h.
                    Destroy the excess KMnO 4 by adding 0.1 M NaHSO 3   After testing the solution for completeness of precipitation, the
                    dropwise. The resulting precipitate of KClO 4 is pale purple or  sample is filtered, washed with 0.1% w/v ammonium oxalate,
                    white in color.                                     and dried at 100–120 °C for 1 h. The precipitate is then
                  6. When solutions of Ba(SCN) 2 and MgSO 4 are mixed, a  transferred to a muffle furnace where it is converted to CaCO 3
                    precipitate of BaSO 4 forms. Following are the descriptions  by drying at 500 ± 25 °C until a constant weight.
                    and results for several experiments in which only the  (a) Why is the precipitate of CaC 2O 4× H 2O converted to
                    concentrations of Ba(SCN) 2 and MgSO 4 are different. Explain  CaCO 3? (b) In the final step, if the sample is heated at too
                    why these experiments produce different results.    high of a temperature, some CaCO 3 may be converted to
                    Experiment 1. When equal volumes of 3.5 M Ba(SCN) 2 and  CaO. What effect would this have on the reported %w/w Ca?
                    3.5 M MgSO 4 are mixed, a gelatinous precipitate immediately  (c) Why is the precipitant, (NH 4) 2C 2O 4, added to a hot, acidic
                    forms.                                              solution rather than to a cold, alkaline solution?
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