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Coagulation                                                                                      205


                                                                                             )
                                Alkalinity (mg/L as CaCO )                 Alkalinity (mg/L as CaCO 3
                                                  3
                            0   5   10   15  20   25  30              0   5   10   15   20  25   30
                                                         1.0       1.0                             10
                         100                             0.8       0.8                             8
                          80
                      Alum dosage at CCC  (mg/L as Al 2 (SO 4 ) 3 . 14H 2 O/L)  60  0.6  Al 3+  dosage at CCC  (meq/L)  Settled water turbidity  (NTU)  0.6  6 4  pH


                                                                   0.4
                                                         0.4
                          40
                          20

                          0                              0.2       0.2                             2
                                                         0.0       0.0                             0
                           0.0  0.1  0.2  0.3  0.4  0.5  0.6         0.0  0.1  0.2  0.3  0.4  0.5  0.6
                    (a)            Alkalinity (meq/L)           (b)           Alkalinity (meq/L)

            FIGURE 9.9 Results of experiments to assess the role of alkalinity for two low turbidity, low alkalinity snowmelt waters characterized by
            turbidities  0.5 NTU and alkalinities 30–50 mg=L as CaCO 3 : (a) Critical alum dosage (CCC) at minimum turbidity versus alkalinity
            added and (b) settled water turbidity and pH versus alkalinity added. (Adapted from Tseng, T. et al., J. Am. Water Works Assoc., 92(6), 48,
            June 2000.)

               5.0                                             pH < 4.5, respectively. Black noted also that when either
                                   • pH  was of filtrate used   alum or a ferric salt is added to water hydrolysis occurs. The
               4.8
                                     for color  measurement    hydrolysis products were more effective than trivalent ions in
               4.6                 • TDS = 30 mg/L
             pH                    • HCO  = 6.1 mg/L           reducing the zeta potential of particles (Black, 1960; Black
                                         –
               4.4                      3                      and Willems, 1961, p. 597). At the same time, Packham
                                                               (1962) recognized the role of aluminum hydroxide precipitate,
               4.2
                                                               that is, that clay particles are ‘‘enmeshed’’ in the ‘‘mass of
               4.0                                             flocculating aluminum hydroxide’’ (later called ‘‘sweep floc’’).
                  0      100      200     300     400     500
                          Alum dosage (mg Al (SO ) ·18H O/L)   9.5.3.2  Sequential Hydrolysis Reactions
                                                2
                                           4 3
                                        2
                                                               Aluminum or ferric iron salts react with water forming a wide
            FIGURE 9.10  pH as affected by alum dosage. (Adapted from
                                                               array of complexes or precipitate, depending on pH. To illus-
            Black, A.P. and Willems, D.G., J. Am. Water Works Assoc., 53(5),
                                                               trate, a postulated sequence of hydrolysis reactions for Al ,
                                                                                                              3þ
            593, May 1961.)
                                                               that is, involving the ‘‘splitting’’ of the water molecule is (Stumm
                                                               and Morgan, 1962; Amirtharajah and Mills, 1982, p. 210),
            experiments over a 12 month period, the raw water varied
            7.0   pH   7.7, 27   alkalinity   30 mg CaCO 3 =L; with  Al(H 2 O) 6 3þ  þ H 2 O ! Al(H 2 O) (OH) 2þ  þ H 3 O þ  (Al:1)
                                                                                           5
            alum dose 26 mg Al 2 (SO 4 ) 3   14H 2 O=L, the pH just after the
                                                                 Al(H 2 O) 5 (OH) 2þ  þ H 2 O ! Al(H 2 O) 4 (OH) þ H 3 O þ
                                                                                                    þ
                                                                                                    2
            rapid-mix unit was depressed to the range 5.8   pH   6.3
            (Hendricks et al., 2000, p. 16).                                                               (Al:2)
                                                                 Al(H 2 O) 4 (OH) 2 þ H 2 O ! Al(H 2 O) 3 (OH) 3 (s) þ H 3 O þ
                                                                              þ
            9.5.3 REACTIONS BETWEEN ALUM=FERRIC IRON                                                       (Al:3)
                   AND WATER
                                                                 Al(H 2 O) 3 (OH) 3 (s) þ H 2 O ! Al(H 2 O) 2 (OH) 4 þ H 3 O þ

            When alum or ferric iron is added to water, the reaction
                                                                                                           (Al:4)
            product is a complex with six water ligands (i.e., the six
            waters each share a coordinated bond with the central metal  Al(H 2 O) 2 (OH) 4 þ H 2 O ! Al(H 2 O)(OH) 5 2   þ H 3 O þ

            ion). The formula, Al(H 2 O) 6 , was postulated from empir-
                                   3þ
                                                                                                           (Al:5)
            ical and theoretical considerations and later, in 1972, con-
            firmed by ‘‘nuclear-magnetic-resonance’’ spectra (Nordstrom  Al(H 2 O)(OH) 5 2   þ H 2 O ! Al(OH) 6 3   þ H 3 O þ  (Al:6)
            and May, 1996, p. 45).
                                                               The foregoing are ‘‘proton-transfer’’ reactions and are essen-
            9.5.3.1  Beginning                                 tially instantaneous, limited in rate only by mixing and diffu-
            The idea that ferric iron or alum occur as free trivalent ion  sion (Nordstrom and May, 1996, p. 44). The hydration waters
            began to be questioned by about 1960 when A.P. Black (1960)  are ‘‘ligands’’ (see glossary). A similar reaction sequence
            recognized that they may be present only at pH < 3.0 and  occurs if Fe 3þ  is added to water.
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