Page 693 - Fundamentals of Water Treatment Unit Processes : Physical, Chemical, and Biological
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648                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



            dielectric, with space (gap) between, charged by an alternating             T (°C)
            current source; electrons flow across the gap in proportion to   39.35  29.88  25.36  20.97  16.71  12.56  8.54  4.63  0.83
            the voltage difference. The dielectric is commonly glass or  1000
            ceramic material. Air or oxygen is passed between the plates                         Phenol
            and through the corona discharge; the oxygen reacts to                           Mesitylene
            become ozone, O 3 . The electrodes may be in the shape of
            two plates in parallel, or two concentric cylinders. The process
                                                                       •
            is not efficient, since only about 0.15 fraction of the energy is  k (L/mol   s) 100
            used for the O 2 to O 3 conversion; therefore about 0.85 fraction           1,1,2-trichloroethylene
            is heat and must be removed. The ozone production rate is a  10
            function of the peak voltage, frequency, and the geometry of                        Toluene
                                                                                  Benzene
            the cell. Typical voltages are 10,000–19,000 V and most
            generators are in the medium frequency range of 60–1000 Hz.
                                                                          1
            For every 100 kg=h of gas flowing, 1–10 kg=h ozone is pro-
            duced, depending on applied voltage, whether the gas is air  0.003250 0.003300 0.003350 0.003400 0.003450 0.003500 0.003550 0.003600 0.003650
            or oxygen, flow of feed gas, and cooling water temperature
                                                                                       1/T (K)
            (Rakeness et al., 1996, p. 4).
                                                               FIGURE 20.2  Arrhenius plot of kinetic constants for five organic
            20.2.2.2.2  Ozone Kinetics
                                                               compounds, pH   2. (From Hoigné, J. and Bader, H., Water Res.,
            Ozone has been found to react readily with some organic  17(2), 178, 1983a.)
            compounds but not with others. Also, in some cases, the
            reactions go to mineralization while with others a sequence  Kinetic constants were determined for some 67 compounds,
            of reactions is involved and in many cases the products may  in four groups, shown in columns below with representative
            be less complex and perhaps amenable to biodegradation.  compounds. The kinetic constants varied over wide order-of-
                                                                                                5
                                                                                            3
            Kinetics has everything to do with whether to use ozone or  magnitude ranges, for example, 10 –10 L=(mol   s), in each
            to modify the conditions such as with UV light or peroxide, or  group, but with the third group being the lowest in absolute
            to search for some other oxidant, for example, ClO 2 . The  values, that is, <8L=(mol   s).
            latter, for example, was found to have a much higher reaction
            rate than KMnO 4 or ozone in oxidation of Mn , at low
                                                    2þ
            concentrations, to MnO 2 (Gregory, 1996, 1997).    Substituted      Substituted  Substituted
              In part, explanations of why ozone behavior varies have  Benzenes  Ethylene    Alkanes  Miscellaneous
            been explained in terms of the reaction kinetics between  Chlorobenzene  Tetrachloroethylene  1-Propylamine  Carbon
            ozone and various compounds. The benchmark work in this                                     tetrachloride
            area was a set of three papers: Hoigné and Bader (1983a,b)  Benzene  Trichloroethylene  tert-Butanol  Chloroform
            and Hoigné et al. (1985). As they point out, determination of  Toluene  Maleic acid  Ethanol  Bromoform
            ozone kinetics is complicated by the loss of ozone at any gas–  o-Xylene  Allylbenzene  1-Propanol  Urea
            air interfaces that may be present and by the rapid decompos-  1,2,3-  Styrene  1-Octanol  Saccharose
            ition of ozone to oxygen, albeit through a complex pathway  Trimethylbenzene
            (as illustrated in Figure 20.1).                   Phenol                      Formaldehyde  Dioxane
              The rate law for ozone in aqueous solution is first  Naphthalene              Propanal    Glucose
            order with respect to both ozone and solute concentration,
            that is,
                                                               The half-life of a compound being oxidized is given (Hoigné
                                                               and Bader, 1983a, p. 182),
                          d[O 3 ]
                               ¼ k(O 3 )[O 3 ] [M]     (20:12)
                            dt                                                           0:69
                                                                                                          (20:13)
                                                                                t 1=2 ¼
                                                                                             =h
            in which
                                                                                     [O 3 ]   k O 3
              [O 3 ] is the concentration of ozone (mol=L)     and if h ¼ 1, and if [O 3 ] ¼ 10  5  mol=L (0.5 mg=L)
              [M] is the concentration of reactant, M (mol=L)
              t is the time (s)                                                          0:69             (20:14)
              k(O 3 ) is the rate constant (L=mol   s)                           t 1=2 ¼  10  5    k O 3
            Figure 20.2 illustrates the variation in kinetic constants for  in which
            five organic compounds, showing also the variation with  t 1=2 is the time for depletion of 50% of the compound being
            temperature, which is in accordance with the Arrhenius rela-  treated (s)
            tion; note that pH   2 for all tests. Activation energies were, in  h is the stoichiometric coefficient
            general, 35–50 kJ=mol (Hoigné and Bader, 1983a, p. 181).  [O 3 ] is the concentration of ozone in reactor (mol=L)
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