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618                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



            ferrous metals, stainless steel, and copper, but not silver (since  1. Hydrolysis: When chlorine gas is introduced in
            the silver chloride formed on contact is inert). Aqueous solu-  water, dissolution occurs readily, as seen by the
            tions are also corrosive. Materials used commonly for moist  Henry’s law coefficient, that is, H(Cl 2 ,208C) ¼
            gas and solutions include PVC, fiberglass, Kynar, polyethyl-  7283 mg=L=atm (Table H.5). Upon dissolution,
            ene, certain types of rubber, Saran, Kel-F, Viton, and Teflon  hydrolysis occurs with the reaction given as (Doull,
            (White, 1999).                                          1980, p. 18)

            19.3.3.2  Chlorine Demand                                 Cl 2 þ H 2 O , HOCl þ H þ Cl      (19:14)
                                                                                          þ
            Since HOCl is a strong oxidizing agent, it reacts with a range
                                                                    The HOCl further dissociates to give
            of reducing substances, for example, NH 3 ,Fe ,Mn ,
                                                          2þ
                                                    2þ
            NO 3 ,H 2 S, NOM, etc. (Fair et al., 1948, p. 1055). The          HOCl , OCl þ H  þ         (19:15)


            aggregate of such reactions is termed, ‘‘chlorine-demand.’’
            The inorganic reactions are rapid while the NOM reactions  The two species, HOCl and OCl together are des-

            are, in general, slow.                                  ignated as ‘‘free chlorine,’’ and also as ‘‘free avail-
                                                                    able chlorine.’’ As evident in Equations 19.14 and
            19.3.3.2.1  Breakpoint Chlorination                     19.15, the distribution of the species is pH depen-
            As seen by Equations 19.25 through 19.27, in subsequent  dent, with the HOCl predominating at pH   7.3; for
            Section 19.3.6.1, chlorine reacts with ammonia to form chlor-  reference, Cl 2 is the dominant species for pH   3.3.
            amines. Figure 19.4 shows a typical breakpoint chlorination  Also, for reference, at pH ¼ 6.0, T ¼ 208C, HOCl
            relationship caused by the reaction with ammonia. As the  0.97 fraction; and at pH ¼ 7.0, T ¼ 208C, HOCl
            chlorine concentration increases the ‘‘free available chlorine’’  0.79 fraction (Fair et al., 1948, p. 1052; White,
            (the solid line) increases but at a rate less than that of ‘‘applied  1999, p. 218). The Ct’s for HOCl are generally 5–20
            chlorine’’ (solid line). The difference between the ‘‘applied  times higher than for OCl (see Table 19.3); in other

            chlorine’’ and the ‘‘free available chlorine’’ is the ‘‘chlorine  words, chlorine is the most effective at pH   7.0.
            demand.’’ As the applied chlorine concentration continues to  2. Acid–base reaction equilibria for chlorine: The spe-
            increase, the free available chlorine residual declines to near-  cies present when chlorine gas reacts with water are
            zero, which is the ‘‘breakpoint.’’ After the breakpoint, the free  seen in Equations 19.14 and 19.15, that is, Cl 2 (gas),
            chlorine increases linearly with the applied chlorine.  Cl 2 (aq), HOCl, OCl ,Cl ,H ,OH . Thus, the first


                                                                                            þ

                                                                    step in the analysis of acid–base equilibria is to write
            19.3.3.2.2  Chlorine Reactions                          the reaction equations, which permit the reactant and
            Chlorine in water involves a sequence of reactions. Reactions  product species to be identified. Table 19.5 summar-
            include hydrolysis and acid–base. In addition, chlorine acid–  izes the reactions and the associated equilibrium
            base equilibrium is depicted in graphical form. Finally, the  equations, the latter being the second step. The reac-
            formation of hypochlorites is reviewed.                 tions, of course, are linked. The third step is to write
                                                                    the mass balance relation, that is,
                                                                    C ¼ Cl 2 (aq) ¼ [HOCl] þ [OCl ] þ [Cl ]  (19:16)


                  2.5
                                                                    and the charge balance may be stated,
                                    Chlorine applied
                  2.0                                               With the mass balance, charge balance, and five
                                                                                                        (19:17)
                                                                      [H ] ¼ [OCl ] þ [OH ] þ [Cl ]
                 Chlorine residual (mol Cl/mol N)  1.5  Chlorine-demand  breakpoint  available  equilibrium equations, there are seven equations,
                                                                        þ



                                                                    which means that the seven unknowns may be
                                                   Free
                                                                    solved. Often, the mass balance and the charge bal-
                  1.0
                                                                    ance are combined; for example, the [Cl ] may be

                                                  chlorine
                                                                    eliminated by subtracting Equation 19.17 from
                                                                    Equation 19.16.
                  0.5
                                                                    CD19.6 shows the concentrations of the aqueous
                                                   Free           3. Graphical depiction of equilibria for chlorine: Table
                              Chloramines         chlorine          chlorine species, that is, Cl 2 (aq), HOCl, OCl ,

                  0.0                                                          þ
                    0.0    0.5    1.0    1.5    2.0    2.5          along with H ,OH ; fractions of the first three
                                                                    are given also, for example, a 0 ¼ [Cl 2 ]=C(total),
                           Chlorine applied (mol Cl/mol N)
                                                                    a 1 ¼ [HOCl]=C(total), a 2 ¼ [OCl ]=C(total), respec-

            FIGURE 19.4  Illustration of breakpoint chlorination. (Adapted  tively. The ancillary tables show the formulae for
            from Doull, J., Drinking Water and Health, Vol. 2, National Acad-  the ‘‘a’’ calculations, which are the basis for the
            emy Press, Washington, DC, 1980, p. 22).                calculations of the concentrations of [Cl 2 (aq)],
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