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



                   is necessary for dispersing the chemicals throughout  Coordination compound: Has one or more central atoms or
                   the water (Conley and Evers, 1968).                central ions, usually metals, with a number of ligands
            Coagulation=flocculation: Moffett (1968, p. 1256) noted    attached. Same as a complex.
                   that the terms coagulation and flocculation are  Copolymer: If the polymer molecule is formed from more
                   ambiguous, as used in the water field. This was     than one type of repeating chemical unit, it is called a
                   affirmed by O’Melia (1970), who stated that coagu-  copolymer (Singley et al., 1971).
                   lation and flocculation have no commonly agreed  Coprecipitation: Contamination of a precipitate by an
                   upon definitions. Opinion seems to have converged,  impurity that is otherwise soluble under the condi-
                   however, on the following definitions:              tions of precipitation (Randtke, 1988, p. 41).
                   1. Coagulation refers to the chemical alteration of a  Coulomb: Quantity of electric charge. Charge is related to
                     colloid such that aggregation between destabilized  current by the relation, q ¼ i   t, in which q ¼ quantity
                     colloids and coagulant chemicals can occur upon  of charge (C), i ¼ current (A), and t ¼ time (s). For
                     mutual contact                                   reference, 1.00 As ¼ 1.00 C.
                   2. Flocculation is the process of aggregating coagu-  Coulombic interaction: Attraction or repulsion between
                     lant chemicals and colloids by contact induced by  charged particles in accordance with Coulomb’s
                     some transport mechanism, for example, Brown-    law, that is,
                     ian motion or turbulence.
            Colloid: Small particles that do not settle due to an electric              q 1 q 2
                                                                                  F ¼       2              (G9:1)
                   surface charge, usually negative. The characteristic               4pDe o r
                   size range is 10  9  to 10  5  m (10–100 Å or 10 mm).
                   Sennett and Olivier (1965, p. 34) suggest an upper  where
                   size limit of 1 mm for purposes of classifying a     F is the force between q 1 and q 2 (N)
                   ‘‘sol,’’ but point out that larger particles may exhibit  q 1 is the charge on particle ‘‘1’’ (coulombs)
                   characteristics of a colloid.                        q 2 is the charge on particle ‘‘2’’ (coulombs)
                                                                                         2
                                                                                     12
            Colloidal system: A ‘‘classical’’ colloidal system is a sol, that  e o ¼ 8.854   10  (C =(mJ)
                   is, dispersions of small solid particles in a liquid  D is the dielectric constant (dimensionless)
                   medium. These small particles are larger than the    r is the separation distance between particles ‘‘1’’
                   molecular size. In a colloidal system there are two    and ‘‘2’’ (m)
                   phases: (1) the dispersed phase, a solid, liquid, or gas
                   that is finely divided and dispersed uniformly      Thus such forces are found only in systems contain-
                   throughout a second substance which is the disper-  ing charged species. The strengths of the interactions
                   sion medium or continuous phase, and (2) the con-  equal or exceed those of the covalent bonds (Myers,
                   tinuous phase may be a solid, liquid, or gas (Myers,  1991, p. 39).
                   1991, pp. 187–195). An emulsion is a liquid dis-  Covalent bond: When two atoms bind to form a typical
                   persed in another liquid. A second class of colloids  nonionic molecule, the forces involved in bond for-
                   is where the aggregates of molecules that may be   mation are termed, covalent. The characteristic of
                   simultaneously a molecular solution and a true col-  such a bond are shared electrons between two or
                   loidal system (FA and HA would be in this cat-     more atoms. The covalent bonds are short range,
                   egory). Yet another class of colloids is the lyophilic  that is, they act over a bond distance of 0.1–0.2 nm.
                   colloids which are solutions but in which the solute  The energies of normal covalent bonds range from
                   molecules, that is, polymers, are much larger than  150 to 900 kJ=mol (100–300 kT), and generally
                   those of the solvent.                              decrease in strength as the bond length increases
            Color: Substance in water that causes ‘‘color’’ as measured  (Myers, 1991, p. 39).
                   on the cobalt scale. Two kinds of color are ‘‘appar-  Critical coagulant concentration (CCC): The minimum
                   ent’’ color and ‘‘true’’ color. The former is the result  concentration of coagulant above which destabiliza-
                   of a measurement using a sample of water ‘‘as-is’’  tion will take place (Stumm and O’Melia, 1968,
                   and the latter is the same measurement after filtering.  p. 516).
                   Organic color is associated with NOM.       Cross-linking: Incorporation of divinylbenzene into the
            Complex: In aqueous solution, free metal ions are complexed  polymerization of styrene results in two vinyl groups
                   with water. The metal ions are said to be hydrated.  participating in two separate chains, producing a
                   The interaction of these hydrated metal ions with  three  dimensional  network.  Polystyrene,  for
                   acids and bases is a ligand exchange reaction that  example, is soluble in many solvents but with 0.1%
                   is commonly called hydrolysis (or protolysis). A   divinylbenzene the polymer no longer dissolves
                   complex is the same as a coordination compound.    but only swells (Streitwieser and Heathcock, 1985,
                   To summarize,                                      p. 1113).
                                                               Crystal lattice: A solid that has a regular geometric arrange-
                    ligand þ central metal ion ! complex              ment of atoms in space that determine its properties.
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