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



                   For example, Na may attach to the cation-exchan-   three’’ founders of the discipline of physical chem-
                                 þ
                   ger site for H þ  and Cl    may attach to the anion-  istry, i.e., Wilhelm Ostwald, University of Liepzig;
                   exchanger site for OH to result in water as a prod-  Jacobus Henricus van’t Hoff of the University of

                   uct. Usually, the process is in a ‘‘mixed-bed,’’ but it  Amsterdam; Svante Arrhenius, of the Hogskola in
                   could be done in separate beds.                    Stockholm (Servos, 1990). The G was assigned in
            Electric conductance: See specific electric conductance.   the 1970s in recognition of Gibbs’ contribution.
            Equilibria: The term equilibria refers to an ion-exchange  Glauconite: (1) Ferrous alumnosilicates containing exchange-
                   reaction, and to the final concentrations of all species  able potassium, with rather dense and rigid crystal
                   both in solution and attached to ion-exchange sites.  structure;cation-exchangeoccursatthecrystalsurfaces
            Equilibrium constant: The constant that indicates the ratios of  (Helfferich, 1964, p. 11). (2) A mineral under the mica
                   reactants and products with reference to its associated  group within the subclass, ‘‘Phyllosilicate’’ (from
                   stoichiometric equation; valences are the exponents.  Greek, phyllon, leaf or sheet silicate). The taxonomy
            Equivalent weight: Atomic weight divided by valence of    is (http:==en.wikipedia.org=wiki=Silicate_minerals):
                   ion. For example, MW (Ca ) ¼ 40.078 g=mol
                                            2þ
                   and EqWt (Ca ) ¼ MW (Ca )=2 ¼ 40.078 g=mol=2         Phyllosilicate subclass (the sheet structures)=
                                          2þ
                              2þ
                   valence ¼ 20.039 g=equivalent weight. An ‘‘equiva-     Mica group=glauconite – (K,Na)(Al,Mg,Fe) 2
                   lent’’ weight is abbreviated, ‘‘eq.’’                  (Si,Al) 4 O 10 (OH) 2
            Exchange capacity: Sites for ion-exchange per unit mass of
                   ion-exchanger, expressed usually in milliequivalents  Groups under the Phyllosilicate subclass include: the
                   of ions per gram of ion-exchanger, i.e., meq=g.    Serpentine group; the Clay mineral group; the Mica
            Free radical: An atom such as H . , or group of atoms such as  group; and the Chlorite group. (3) For reference to
                   H 3 C . , that contains an unpaired electron, also called  explicate further the taxonomy, another sub-class
                   simply, a ‘‘radical.’’ Radicals are usually electrically  (parallel to ‘‘Phyllosilicates’’)is ‘‘Tectosilicates,’’ or
                   neutral. Because a radical contains an atom with an  ‘‘framework silicates,’’ which are characterized by a
                   incomplete octet, most radicals are unstable and   three-dimensional framework. With the exception of
                   therefore are highly reactive. A radical is represented  the quartz-group, the Tectosilicates are ‘‘aluminosili-
                                               ::
                   by a single dot in its formula, e.g., HO . is represented  cates,’’ and include the Feldspar group, the Feld-
                                               ::
                   as HO . (Fessenden and Fessenden, 1994, p. 14).    spathoid group, a Petalite, the Scapolite group, the
            Functional group: A complex with an exchangeable ion that  Analcime group, and the Zeolite group 3 A miscon-
                   attaches to the benzene ring of a polystyrene resin;  ception is that glauconite is a ‘‘zeolite,’’ which it is
                                                       2   Also       not; as stated, glauconite and zeolite fall under dif-
                   an example is the sulfonate group, i.e., –SO 3
                   called the ‘‘ion-active group.’’                   ferent mineral subclasses. See zeolite.
            Gel-type ion-exchange resin: A gel-type ion-exchange resin  Greensand: (1) A natural zeolite made of the mineral glau-
                   may be modeled conceptually as a plate of congealed  conite, a greenish-black material found in the form of
                   spaghetti. The strands, i.e., polymers are entangled  kidney-bean-shaped granules (Babbitt and Doland,
                   but there are randomly distributed points of adhesion  1949, p. 513). The material was one of the earliest
                   between the strands. The structure is open, porous,  recognized ion-exchange materials, being applied to
                   and heterogeneous, but externally appears as a     water treatment about 1925 and was mined from
                   homogeneous solid mass (foregoing from Kunin,      deposits in New Jersey. (2) The term ‘‘zeolite’’ is
                   1983, p. 45). Generally, the pore size of a gel-type  often applied to greensand; it is a misnomer, dating
                   resin is  30 Å (Kunin, 1979, p. 1).                to the early days of use (such as by Babbitt and
            Gibbs free energy: A state function, commonly defined as,  Doland, 1949). (3) Greensands have been used in
                   G ¼ H   TS,(G is Gibbs free energy, H is enthalpy,  iron and manganese removal by oxidation of Fe þ2  or
                   and S is the entropy of a system). Equilibrium is  Mn  þ2  with KMnO 4 , which then form solid precipi-
                   attained when the free energy of the products of a  tates, removed by the greensand.
                   reaction equals the free energy of the reactants. The  Hardness: An indication of the soap-consuming capacity of a
                   change in free energy is independent of the path. The  water, which was one of the early definitions. The
                   term, ‘‘free-energy,’’ was coined by Hermann von   causative ions include Ca ,Mg ,Fe ,Mn ,
                                                                                                        2þ
                                                                                            2þ
                                                                                                              2þ
                                                                                                  2þ
                   Helmholtz in 1882 to describe that portion of the  Zn ;Ca , and Mg  2þ  are the most common. Hard-
                                                                              2þ
                                                                         2þ
                   energy of a reaction that was not bound in the form  ness is usually expressed in terms of mg CaCO 3 =L.
                   of heat but could be freely converted to other forms  Hardness conversion: Suppose an analysis of a hard water
                   of energy. A similar quantity, the ‘‘chemical poten-  gives Ca 2þ  concentration ¼ 128 mg Ca =L and
                                                                                                        2þ
                   tial,’’ had been independently defined by Willard   Mg =L concentration ¼ 32 mg Mg =L. These con-
                                                                                                   2þ
                                                                         2þ
                   Gibbs, professor at Yale University in a paper pub-  centrations in equivalents per liter are: 88 mg
                   lished in 1878 in the Transactions of the Connecticut  Ca =L=(40.078 mq=2=meq) ¼ 4.391 meq Ca =L
                                                                                                            2þ
                                                                         2þ
                   Academy of Arts and Sciences (Servos, 1990,        and 16 mg Mg =L=(24.305 mq=2=meq) ¼ 1.317
                                                                                    2þ
                   p. 352). The paper was recognized by the ‘‘big-    meq Ca =L, giving total hardness ¼ 5.708 meq=L.
                                                                             2þ
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