Page 61 - Soil and water contamination, 2nd edition
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48                                                   Soil and Water Contamination

                                                 -1
                       distribution coefficient of 70 l kg  for sediment–water partitioning and a concentration
                       factor of 65 for fish–water partitioning.
                    6.   The adsorption of caesium (Cs) to illite (a clay mineral) was studied by means of a batch
                       experiment. During this experiment an amount of 8 mg of illite was added to 80 ml
                       solution with a known initial Cs concentration. The solution was buffered at a pH of 8.0.
                       After shaking for 12 days, the dissolved Cs concentration was measured. The results are
                       shown in the table below

                       Experiment no.  Initial Cs concentration  Cs concentration after 12 days
                                     µg l -1             µg l -1
                       1.             1                   0.5
                       2.             2                   1.1
                       3.             5                   3.1
                       4.            10                   7.0
                       5.            20                  15.5
                                                             -1
                       a.   Calculate the adsorbed concentration in μg g  for each of the five experiments after
                          12 days.
                       b.  Draw the isotherm of Cs.
                       c.  Is this a Freundlich isotherm or a Langmuir isotherm? Explain your answer.

                    7.  The precipitation reaction of barite (barium sulphate; BaSO ):
                                                                     4
                               2-
                         2+
                       Ba  + SO  ↔ BaSO  (s)
                              4         4
                                                                           0
                                                                                          -1
                         is characterised by the following thermodynamic properties: ΔG  = -56.91 kJ mol ;
                                      -1
                          0
                       ΔH  = -6.35 kJ mol .
                       a. Is  the dissolution of barium sulphate endothermic or exothermic?
                       b.  Calculate the solubility product for barium sulphate at 25 °C.
                                      2+
                       c.  Calculate the Ba  concentration in a solution saturated with BaSO at 25 °C.
                                                                             4
                                      2+
                       d.  Calculate the Ba  concentration in a solution saturated with BaSO at 10 °C.
                                                                             4
                       e.   Explain what happens if a small amount of sulphuric acid (H SO ) is added to the
                                                                           2  4
                          saturated solution.
                                                                                          2-
                                                                        -1
                                                   2+
                    8.   A water sample has a calcium (Ca ) activity of 0.001 mol l  and a sulphate (SO )
                                                                                          4
                                       -1
                       activity of 0.02 mol l . Evaluate the saturation index of gypsum (CaSO ∙2H O) given the
                                                                              4
                                                                                  2
                       solubility product of gypsum = 10 -4.61 . What is your conclusion?
                                                                                           0
                    9.   A solution in equilibrium with gypsum also contains a certain amount of the CaSO
                                                                                           4
                                                                  0
                       complex. Discuss what the presence of aqueous CaSO  complexes implies for the total
                                                                  4
                       amount of calcium in solution.
                    10.  Phosphoric acid (H PO ) dissociates in three steps at different pHs and with different K
                                      3  4                                                 a
                       values:
                                                               +
                                                           -
                       First dissociation step:   H PO  ↔ H PO  + H    K  = 6.92∙10 -3
                                               3  4     2  4            a
                                                                +
                                                           2-
                                                   -
                       Second dissociation step:   H PO  ↔ HPO  + H    K  = 6.17∙10 -8
                                               2  4        4            a
                                                  2-
                                                              +
                                                          3-
                       Third dissociation step:   HPO  ↔ PO  + H       K  = 2.09∙10 -12
                                                  4      4              a
                                                                                        3-
                                                                                2-
                                                                         -
                         What is the dominant phosphate species (i.e. H PO , H PO , HPO , or PO ) at
                                                              3   4  2  4      4       4
                       pH = 8, pH = 6, and pH= 4?
                                                                   +
                                                             -
                    11. Consider the reaction:   NH  + H O ↔ OH  + NH    K  = 1.8∙10 -5
                                                 3   2             4    b
                                                         -1
                       Calculate the pH of a solution of 0.15 mol l  of ammonium chloride (NH Cl)
                                                                                4
                       (Hint: Note that pK  + pK  = pK  = 14).
                                      a    b    w
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        Soil and Water.indd   60                                                            10/1/2013   6:44:21 PM
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