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Coagulation                                                                                      197



            Coagulation theory, involving colloids, color, coagulants, and  colloid n   þ Al   (OH) (H 2 O) n mþ
                                                                                         n
            the coagulation process, evolved over decades. Two of the     ! colloid   [Al   (OH) n (H 2 O) n ] (m n)þ  (9:3)
            key players in the formative decades of coagulation chemis-
            try, A.P. Black and Wilfred Langelier, were academic chem-
                                                               where
            ists in the water treatment industry and are a part of the lore of
                                                                  colloid n   is the negatively charged colloid with n negative
            the field. Many others who contributed to modern theory are
                                                                    charges
            cited (and many others were not cited due to limitations in the
                                                                  colloid   [Al   (OH) n (H 2 O) n ] (m   n)þ  is the colloid and metal
            scope of this text).
                                                                    ion complex
            9.3.2 COAGULATION REACTIONS                        The positively charged complexes, on the left side in Equation
                                                               9.3, become incorporated within the diffuse ‘‘double layer’’ of
            The reactions of metal ions, for example, Al 3þ  and Fe , with
                                                      3þ
                                                               a negatively charged particle, which results in the reaction
            water result in a variety of products, with the species depen-
                                                               product, that is, a colloid–metal ion complex, on the right
            dent on pH, dosage, ionic strength, alkalinity, and perhaps
                                                               side, called here a ‘‘microfloc.’’ The van der Waals attractive
            other factors. The reactions are complex and are only sum-
                                                               forces between the resulting ‘‘microflocs’’ then dominate,
            marized here.
                                                               permitting them to attach to one another, forming a precipi-
                                                               tate. The job of rapid-mix is to induce collisions between the
            9.3.2.1  Metal Ion Reactions with Water
                                                               reactants on the left side of Equation 9.3 to form such micro-
            At low pH, for example, 4 < pH < 6, when Al  3þ  or Fe 3þ  react
                                                               flocs. Since the life of the complexes is very short, that is, in
            with water, the reaction products are ‘‘complexes’’ with water.
                                                               terms of milliseconds, a very large fraction of the collisions
            At higher pH levels, for example, 6 < pH < 10, and especially
                                                               between reactants must occur before leaving the ‘‘rapid-mix’’
            at higher dosages, metal hydroxide is the major product. The
                                                               (Chapter 10).
            two categories of reactions are
                                                               9.3.2.2.2  Sweep Floc (pH > 6)
              1. Complexes,
                                                               The ‘‘sweep-floc’’ reaction (Amirtharajah and Mills, 1982) is
                                                               between aluminum hydroxide precipitate, Equation 9.2, and
               Al 2 (SO 4 ) 3 þ nH 2 O
                                                               colloids in suspension and occurs at pH > 6,
                  ! 2Al   (OH) (H 2 O) n  nþ  þ H þ 3SO 4  2   (9:1)
                                         þ
                             n
                                                                    colloid þ Al(OH) ! colloid   [Al(OH) ]  (9:4)

                                                                                                      3
                                                                                    3
              2. Metal ion precipitate,
                                                               In sweep-floc, the positively charged Al(OH) 3 precipitate
                                           þ       2   (9:2)
              Al 2 (SO 4 ) 3 þ6H 2 O!2Al(OH) 3 þ6H þ3SO 4      contacts the negatively charged colloids through random con-
                                                               tacts, for example, through turbulence in ‘‘rapid-mix,’’ result-
                 where                                         ing in particle attachment and enmeshment. The aluminum
                   Al 2 (SO 4 ) 3 is the aluminum sulfate, that is, alum  hydroxide floc is amorphous in nature with large surface
                                 nþ                                                      2
                   Al   (OH) n (H 2 O) n  is the hydrated aluminum  area, for example, 159–234 m =g for ferric floc (Randtke,
                     complex with water (variable charge and vari-  1988, p. 41), which also facilitates particle enmeshment
                     able waters of hydration)                 (Matijevic, 1967, p. 337). The removal of the suspended
                   Al(OH) 3 is the aluminum hydroxide precipitate  microscopic particles is, in general, proportional to the floc
                     (waters of hydration not shown)           surface area.
                                                                  Figure 9.3 shows two photomicrograph examples of alum
            9.3.2.2  Two Coagulation Mechanisms                floc enmeshing diatoms. Both figures (Figure 9.3a and b)
            The two coagulation zones in Al 3þ  and Fe 3þ  coagulation are  illustrate the amorphous but differing character of an alumi-
            as follows: (1) charge neutralization for pH < 6; and (2) sweep  num hydroxide floc particle enmeshing diatoms. The particles
            floc for pH > 6. The reaction products for the two zones are  are not free to disengage, that is, they appear to involve
            ‘‘hydrolysis-products’’ and Al(OH) 3 precipitate, respectively  bonding between the particles and the alum floc.
            (Amirtharajah and Mills, 1982).
                                                               9.3.2.3  NOM Removal by Metal Coagulatants
            9.3.2.2.1  Charge-Neutralization (pH < 6)          Independent variables that affect NOM removal include pH
            In Equation 9.1, the Al product is actually an array of ‘‘poly-  and coagulant dosage, with dosage being proportional to the
            nuclear’’ Al cations, also called aluminum ‘‘hydrolysis’’ prod-  humic concentration, that is, it is stoichiometric (Black and
            ucts, or ‘‘complexes,’’ and occur in the pH range, pH   6.  Willems, 1961, p. 592; O’Melia et al., 1979, p. 594; Dempsey
            The complexes are positively charged, have only a few milli-  et al., 1984). The ‘‘zones’’ of coagulation for NOM were
            seconds of life, and react, in turn, with negatively charged  delineated by Edwards and Amirtharajah (1985), which
            microscopic particles. The reaction is termed ‘‘charge-neutral-  extended work done for turbidity removal by Amirtharajah
            ization,’’ and is depicted as                      and Mills (1984).
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