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Coagulation                                                                                      229



            Boltzman equation: A gas occupying a given volume has an  Chelate: Complex involving multidentate ligand. See ligand.
                   overall average energy per mole; the gas molecules  . Monodentate ligand—Ligands that attach at only
                   actually have a distribution of energies as defined by  one point, such as H 2 O, OH ,Cl , and CN .



                   the Boltzman equation, that is, N=N o ¼ e  (E=kT) .  . Multidentate ligand—Ligands that attach at two
            Bridging: Generally, the term applies to the condition in    or more sites.
                   which single polymer molecules attach to two or  Chelate: Polydentate ligands can produce a chelate (Greek
                   more suspended particles.                          for claw), a complex in which a ligand forms a ring
            Briggs cell: A cell of specified dimensions that provides for a  that includes the metal ion (Shriver and Atkins,
                   specified flow through with a specified voltage       1999, p. 220).
                   between plates (see Black and Smith, 1962 who  Chelating agent: A multidentate ligand.
                   describe an operational cell as referenced in a 1940  Clay: Soil fraction characterized by small size, for example,
                   article by D.R. Briggs).                            2 mm, negative charge, and plasticity when mixed
            Bronsted acid: A substance that may contribute a proton to  with water (Mitchell, 1993, pp. 18–30). Some alu-
                   solution or cause a proton to be contributed to solu-  minosilicate clays listed are as follows: kaolinite,
                   tion. A water ligand bound to a central metal ion may  illite, vermiculite, smectite (group includes mont-
                   contribute a proton to solution. The complex is thus  morillonite), and chlorite (Hemingway and Sposito,
                   acting as a Bronsted acid.                         1996, p. 87). Clays may have cations on the layered
            Brownian motion: Random motion of molecules in a gas due  surfaces that may be exchanged easily with other
                   to thermal energy, measured by the parameter, kT in  cations in solution and are called ‘‘exchangeable’’
                   gases (in which k is the Boltzman constant and T is the  cations. The amount of exchangeable cations
                   absolute temperature). Note that k ¼ R=N o , where R is  expressed in milleequivalents per 100 g of dry clay
                   the universal gas constant and N o is Avogadro’s num-  is called the ‘‘cation exchange capacity’’ (CEC),
                   ber, that is, the number of molecules in a mole.   sometimes called the ‘‘base exchange capacity.’’
            Carboxyl group: A chemical group,  COOH, which may        Montmorillonite has a CEC   70 meq=100 g.
                   be attached to a larger carbon-based molecule,     Also, montmorillonite is characterized by interlayer
                   for example, a polymer. A characteristic of the group  swelling. Illites, on the other hand, are distinguished
                   is its ionization, which may leave a charged site, that  by the lack of interlayer swelling. For kaolinite,
                   is, at pH > 4,  COOH þ H 2 O ! COO þ H 3 O .       1 < CEC < 10 meq=100 g (van Olphen, 1977,

                                                          þ
            Cartridge filter: Fiber-wound filter about 30 cm long       pp. 57–76).
                   and 12 cm diameter and hollow in center, used  Coagulant: (1) A substance, usually a trivalent cation, which
                   commonly since the 1980s for evaluation of filter   may combine directly with colloids to form ‘‘micro-
                   performance or assessment of organisms in natural  flocs;’’ more likely however, the hydrolysis products
                   water bodies. The results are expressed as numbers  of Al 3þ  (or Fe ) reacting with water combine with
                                                                                  3þ
                   of organisms of different species and particles    suspended colloids and charged particles. (2) Any
                   retained per liter of water that has passed through  chemical that destabilizes a sol suspension (adapted
                   the filter. The sampling=analysis procedure and     from O’Melia, 1978, p. 241).
                   results is designated, ‘microscopic particulate analy-  Coagulant aid: A substance that may be added to rapid-mix
                   sis’ (MPA). Figure 13.2 shows two cartridge filters  to improve the results of coagulation. The most
                   as used in the evaluation of particle removal for a  common is a polymer. In cases of low turbidity
                   slow sand filter. The cartridge is placed in a pressur-  water, a clay, such as bentonite has been used to
                   ized holder designed to permit water flow from the  aid coagulation.
                   outside to the hollow center. Recommended flow  Coagulation: (1) Coagulation comes from the Latin word,
                   through the cartridge is 4 L=min (1 gpm), albeit   coagulare—to be driven together and is brought
                   flows of perhaps 40 L=min (10 gpm) have been        about by a reduction of the repulsive potential of
                   used. After removal, the cartridge is placed in a  the electrical double layer in accordance with the
                   1 gal size Zip-loct plastic bag and placed on ice  DLVO theory causing particle destabilization
                   for transport to a laboratory for MPA analysis. See  (Black, 1967, p. 277; Stumm and O’Melia, 1968).
                   microscopic particulate analysis.                  (2) The chemical process of reducing the zeta poten-
            Cation: Ion with positive charge, for example, Na ,Ca ,   tial and destabilization of particles (Moffett, 1968,
                                                      þ
                                                          2þ
                   Al ,Fe ,. . . .                                    p. 1256). (3) The chemical reduction of repulsive
                          3þ
                     3þ
            Cationic polymer: Polymer with attached ionic groups that  forces between particles such that the van der
                   are positive.                                      Waals forces become dominant so that particles
            Central ion: Usually a metal ion that coordinates with a  will stick when they collide and form aggregates
                   ligand.                                            called ‘‘microflocs.’’ The process remains an ‘‘art’’
            Charge neutralize: Attachment of a positive charged poly-  (Gregory, 1975, p. 61). (4) Concerning kinetics, the
                   meric metal ion species or cationic polymer to a   coagulation reactions are nearly instantaneous and
                   negatively charged colloid.                        the only time required for their completion is what
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