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Ion-Exchange                                                                                     535



                   To convert to hardness expressed as CaCO 3 ,       access to the interior of the beads (Helfferich, 1964,
                   MW(CaCO 3 ) ¼ 100.087  g=mol   or   50.044         p. 61). The term was coined by Robert Kunin and his
                                                                      associates at Rohm and Haas (Kunin, 1983, p. 48) to
                   g=equivalent. Therefore, 5.708 meq hardness=L
                   50.044 mg CaCO 3 =meq ¼ 285 mg hardness as         distinguish the foregoing pore structure (network)
                   CaCO 3 =L, which is a ‘‘hard’’ water. (As a note,  from the gel-type (intertwined polymer strands with
                   expressing hardness in terms of CaCO 3 is probably  cross-linking to provide adhesions between strands).
                   used because of tradition and because it has been  The macro-reticular structure results in pore sizes
                   used so extensively that the relative concentrations in  50–1,000,000 Å, which, therefore, provide for
                   terms of CaCO 3 are understood with respect to rela-  large molecules to gain access to the interior sites.
                                                                                               2
                   tive impacts. Hardness as equivalents per liter would  The surface areas are 7–600 m =g dry resin (Kunin,
                   be a more direct and a more rational expression.)  1979, p. 2).
            Heavy metal: A metal that has a ‘‘higher’’ molecular weight  Microporous: Zeolite is classed as a microporous solid
                   such as lead, cadmium, mercury, etc.; usually these  because of its regular repeating array of pores
                   metals are considered toxic at low concentrations,  within crystal units connected by angstrom-sized
                   e.g., mg=L.                                        channels (see Van Tassel et al., 1994, p. 925). As
            Ion-active group: See functional group.                   related to a resin, the term microporous refers to
            Ion-exchange: (1) The process of exchanging an ion in solu-  pores  20 A; gel-type resins are in this category
                   tion for one of the same charge that was attached to a  (Kunin, 1979, p. 1).
                   ‘‘site’’ within an ion-exchanger. Changing Ca 2þ  in  Milliequivalents: The number of equivalent weights divided
                   solution for Na in the ion-exchanger is an example.  by 1000. Usually, the expression is applied to the
                               þ
                   The foregoing is a traditional softening application.  expression of the concentration of a given ion in
                   In years since the 1980s, USEPA drinking water     meq=L.
                   regulations have been increasingly important, and  Mixed-bed: A mixed-bed contains a cation-exchanger
                   engineers have sought ion-exchangers that have     charged with H þ  and an anion-exchanger charged
                   selective properties, e.g., to remove arsenic, fluoride,  with OH ; both are synthetic resins, in bead form.

                   boron, nitrate. (2) A separation process which util-  In the removal cycle, the various cations, e.g., Na ,
                                                                                                               þ
                   izes functional or active sites on so-called inert  Ca ,Mg , exchange with hydrogen and the
                                                                         2þ
                                                                               2þ
                   matrices (Calmon, 1985, p. 2).                     various anions, e.g., Cl , HCO 3 ,SO 4 ,NO 3 ,
                                                                                                        2



            Ion-exchanger: An ion-exchanger can be any solid substance  exchange with OH , with water being the product.

                   having an array of ion-exchange sites. Usually the  Monomer: A unit of a polymer. Styrene is a monomer that
                   substances-providing sites are either crystalline or  comprises polystyrene.
                   macromolecules. A material, e.g., a zeolite or other  pH: Defined as the negative log of the hydrogen ion concen-
                                                                                                     14
                   crystal structure, a synthetic resin, or other material,  tration. For water, [H ][OH ] ¼ 10  and pH ¼

                                                                                         þ
                   that may have exchange sites within its structure.  14-pOH .

                   The sites are accessible by diffusion from an external  pK: The negative log of the equilibrium constant for an
                   solution. Ions that are smaller than the pore size may  acid-base reaction. To illustrate, consider the disso-
                   be excluded from the space.                        ciation of acetic acid: HA ¼ > H þ A . The equi-

                                                                                                 þ
            Isotherm: The relationship between the solid phase concen-  librium statement is, K a ¼ [H ][A ]=[HA]. Take
                                                                                                þ

                   tration of a given ion and its aqueous phase       logs of both sides, log K a ¼ log[H ] þ log[A ]

                                                                                                    þ
                   concentration at a specified temperature.           log[HA]. Multiply both sides by ( 1) to get,  log
            Leakage: The appearance in the effluent of an ion-exchange  K a ¼ log[H ]   log[A ] þ log[HA]. Then, pK a ¼
                                                                                 þ

                   column of ions which should be removed. Leakage    pH þ p[A ]   p[HA], which defines pK a for the dis-

                   may be due to unfavorable equilibria or incomplete  sociation of acetic acid. For acetic acid, pK a (acetic
                   regeneration (Dow, 1964, p. 73).                   acid) ¼ 4.7.
            Macro-porous: A generic term that refers to resins with pores  Polymer: A repeating monomer unit, e.g., polystyrene.
                    200 Å (Kunin, 1979, p. 1). On the other hand, the  Poly-electrolyte: A repeating monomer unit, e.g., polystyr-
                   macro-porous resins may also refer generically to  ene that has ion-functional groups, e.g., sulfonic
                   those resins that have large pore sizes, which are, at  acid, attached to a monomer.
                   the same time, of the macro-reticular type with pore  Pore (for an ion-exchanger resin): Spaces of distances
                   sizes 50–1,000,000 Å (Kunin, 1979, pp. 2–3).       between polymer chains and cross-links. The sizes
            Macro-reticular ion-exchange resin: A highly porous resin  depend on the degree of cross-linking (Kunin, 1983,
                   prepared by adding an organic solvent for the resin  p. 48).
                   monomers, but a poor solvent for the polymer, to the  Quaternary: Etymology: Middle English, from Latin quater-
                   polymerization mixture. As polymerization pro-     narius, adjective, consisting of four each, from qua-
                   gresses, the solvent is squeezed out by the growing  terni four each (from quater four times) þ -arius –ary.
                   copolymer regions. Spherical beads obtained with   1 a : a group of four. (http:==unabridged.merriam-
                   pores several hundred angstrom units provide easy  webster.com)
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