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



            Batch reactor:A defined-volume reactor, e.g., a tank, in  will be placed in operation as operating column #3, which
            which there is zero influent flow and zero outflow during a  ensures that the breakthrough curve is perpetually within
            period of reaction.                                column #2, or at least not extending to the end of column #3.
            Continuous-flow reactor: A reactor in which the influent
            flow >0 and the effluent flow >0. Usually, such reactors  15.1.1.4  Performance Measures
            are either complete-mix or a column. The former are more  Several measures of performance have been used. The
            common for powdered activated carbon; the latter are  ‘‘effectiveness’’ of the process is whether the effluent concen-
            more common for granular activated carbon.         tration is less than a target value, C b (the breakthrough value)
            Column: A packed-bed reactor that is shaped as a column and  i.e., C e   C b . Another measure of effectiveness is the volume
                                                               of water treated when C e   C b occurs, i.e., V b . A measure of
            is a continuous-flow. The reactor column is nonhomogeneous
            with respect to adsorbate concentration with depth, Z.  efficiency is the carbon usage rate (CUR); CUR ¼ (mass of
                                                               carbon involved when C e   C b occurs)=V b (Reed et al., 1996).
            Breakthrough curve: A term given to the characteristic
                                                               A parameter used in research is ‘‘bed volumes’’ treated, in
            S-shaped concentration versus time curve that is seen in the
                                                               which a bed volume is defined as the pore volume in the
            effluent of a packed-bed column as the column nears exhaus-
                                                               GAC reactor bed, i.e., pore volume of reactor bed ¼ V(reactor
            tion, i.e., as it approaches ‘‘saturation’’ near the bottom of the
                                                               bed)   P (in which P ¼ porosity). The relation between ‘‘bed
                                                   .
                                                               volumes’’ treated and time of operation, t,is ‘‘bed volumes
            column. The mathematical statement is C(t) Z¼Z max
            Wave front: The concentration, C, versus distance, Z, curve at  treated’’ ¼ Q   t=(V(reactor bed)   P).
            a given time, i.e., C(Z) t within a column, or packed-bed
            reactor. The emergence of the wave front (i.e., its translation)
            at the bottom of the column defines the ‘‘breakthrough’’  15.1.2 ADSORBENTS
            curve. What is called here the ‘‘wave front’’ is also called,
                                                               The range of manufactured adsorbents is not large; the most
            synonymously, the ‘‘mass-transfer zone’’ (see also Neethling
                                                               common is activated carbon. Therefore, it is described more
            and Culp, 1990, p. 132, Snoeyink, 1990, p. 795). Johnson
                                                               extensively.
            et al. (1964, p. 9) refer to the phenomenon of a wave front
            (of dissolved organic matter) moving downward through the  15.1.2.1  Kinds of Adsorbents
            column and that complete exhaustion is not accomplished
                                                               Almost any solid substance can serve as an adsorbent. In
            until the total bed length has had this ‘‘front’’ pass through it.
                                                               nature, rocks in mountain streams may provide a surface for
                                                               biofilms; sand may serve the same function in the percolation
            15.1.1.2  Process Description                      of water through soil to groundwater. Clay or silt may provide
            The adsorption process is the assimilation of adsorbate mol-  adsorption sites for bacteria (and probably viruses). In water
            ecules or particles by the surface of a solid, i.e., the adsorbent.  treatment, biological or chemical flocs may provide adsorp-
            This process may be depicted by the reaction,      tion sites for organic molecules.

                              X þ A ! A   X             (15:1)  15.1.2.1.1  Activated Carbon
                                                               The most common adsorbent used for engineered adsorp-
            where                                              tion systems is activated carbon, which can adsorb a wide
              X is the concentration of adsorbent, X, in aqueous suspen-  spectrum of organic compounds. Its large surface area, e.g.,
                                                                     2
                         3
                sion (kg=m )                                   1000 m =g, provides the highest adsorption capacity of any
              A is the concentration of adsorbate, A, in aqueous solution  material. Its mean pore diameter is about 3–6 mm (McGuire
                     3
                (kg=m )                                        and Suffet, 1978, p. 623).
              A   X is the concentration of A in adsorbed state on or
                                    3
                within X (kg A=kg X=m solution)                15.1.2.1.2  Synthetic Resins
                                                               Several commercial resins (i.e., ‘‘macroreticular’’ resins,
              The adsorbate may be any dissolved molecular substance  meaning that they resemble a net in internal appearance or
            or particles in suspension. Usually, for a designed system, the  structure) are available, e.g., XAD-1t, XAD-2t, XAD-4t,
            adsorbent is activated carbon.                     XAD-7t, XAD-8t, etc. (Kunin, 1980) with surface areas
                                                                                         2
                                                               100, 300, 725, 450, and 160 m =g, respectively, with mean
            15.1.1.3  Operation                                pore diameters 200, 100, 48, 85, and 150 Å, respectively. The
            Regardless of the kind of system, an adsorbent, e.g., GAC,  first three are nonpolar adsorbents and XAD-7t, XAD-8t are
            will eventually become ‘‘saturated,’’ i.e., exhausted, by con-  polar. The pore size distribution may be quite large with
            tinuous exposure to a given adsorbate. Therefore, to utilize the  XAD-7t having a range of 30–1800 Å. These resins are
            GAC effectively, several columns, e.g., 2 or 3, may be  polymeric, i.e., they are pure polymers without ion-active
            arranged serially. An additional column may serve as standby.  groups, and depend upon their large surface areas for their
            The first column will become saturated first and then must be  adsorption capacities. The XAD-8t resin (Rohm and Haas,
            removed from operation. At same time, the standby column  Philadelphia, Pennsylvania) has been used to concentrate
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