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



                                                                    Q(avg)   2.2 and Q(min)=Q(avg)   0.35. Neglect vari-
                           BOX 21.1   DESIGN
                                                                    ation in water quality.
              In reviewing the chemistry of water treatment, Moffett  Required
              (1968) summarized the overall state of the art. Many of  Determine the volume required for an equalization stor-
              his comments are pertinent to understanding contem-   age basin such that the average flow enters the treatment
              porary design and operation, with two of the most     train; let Q(max) occur at t   9 days; let Q(min) occur at
              pertinent abstracted:                                 t   21 days, with the variation being a continuous func-
                 ‘‘For many years, both the design and the operation  tion (appearing approximately sinusoidal).
              of water purification plants were considered to be arts.
                                                                    Hint: Construct a mass flow diagram and solve for DV
              Little attention was given to the chemistry of water
                                                                    (equalization) graphically as the sum of the maximum
              treatment and to the effects of chemical variables upon
                                                                    differences between the cumulative actual flow above
              the engineering design or operation of a plant. Design
                                                                    and below the cumulative average flow, that is, the sum
              had focused on steel and concrete. The sizing of plant
                                                                    of the maximum ordinate differences between the two.
              facilities was based on millions of gallons of water to be
                                                               21.3 Cooling Basin Salt Accumulation
              treated per day and detention time.
                 Approximately ten years ago, there appeared to be an  Given
              awakening to the fact that water treatment should be a  A clay-lined, that is, essentially zero seepage, cooling
              scientific discipline, . . . . In the last 5 years, the number  basin for a coal-fired power plant with a volume,
                                                                               3
              and competency of published articles has increased until  V ¼ 12,300 m (10 acre-ft). To avoid applying for
              now we can delineate the chemical and engineering     a national pollution discharge elimination system
              variables in the process design and the operation of a  (NPDES) permit, the management elected to have zero
              water plant. Today, no water plant should be built    discharge. The evaporation rate is about 250 mm=year.
              without a complete process study prior to physical    The incoming water, mostly snowmelt, has total dis-
              design’’ (Moffett, 1968, p. 1255).                    solved solids concentration, TDS   50 mg=L.
                                                                    Required
                                                                    Estimate the number of years before TDS   1000 mg=L.
            21.3.3.2  Cyanide Precipitation                         Hint: Do an annual mass balance, that is, Q   C ¼ V   dC=
                                                                    dt and t(years) ¼ 1000=(dC=dt).
            Removals of cyanides, free and complexed, at concentrations
            about 30 mg=L total cyanide were investigated with respect to
            mining wastes. In the first step, hydrogen peroxide and
                                                               ACKNOWLEDGMENT
            sodium thiosulfate are added at 7 < pH < 9 in a 1:2 molar
            ratio to convert free and weakly complexed cyanide to non-  John H. Smith III, president, Sepco, Inc., Fort Collins, Color-
            toxic thiocyanate. Then steryldimethylbenzylammonium  ado, provided the photograph of the settling tank for heavy
            chloride is added to precipitate ferro-cyanide and, finally,  metals removal (Figure 21.3) and the material on the case
            ferric sulfate is added as a sweep floc and sequestrant for  study.
            heavy metals. Final effluent concentrations were  0.02
            mg=L (Schiller, 1983).
                                                               GLOSSARY
                                                               Amorphous solid: A solid that lacks molecular level order
            PROBLEMS
                                                                      (Silberberg, 1996, p. 428).
            21.1 Precipitation Reactions                       Anion: Ion with one or more negative charges, for example,
                                                                      Cl ,SO 4 .
                                                                              2

                Given
                                                               Cation: Ion with one or more positive charges, for example,
                Phosphate in wastewater is considered a nutrient pollu-
                                                                      Na ,Ca .
                                                                             2þ
                                                                         þ
                tant and is removed by lime addition. Assume the con-
                                                               Colligative properties: Of the four important solution prop-
                                         3þ
                centration of phosphate as PO 4  is 30 mg=L, that is,
                                                                      erties as affected by solutes, it is the number of solute
                                                                      particles that makes the difference, not their chem-
                                3þ ¼ 30 mg=L
                             C PO 4
                                                                      ical identity. The properties are vapor pressure low-
                                                                      ering, boiling point elevation, freezing point
                Required
                                                                      depression, and osmotic pressure.
                Determine the concentration of Ca 2þ  needed to precipi-
                                                               Complex: A central metal cation bonded to molecules and=or
                tate the phosphate.
                                                                      anions called ligands. To maintain electroneutrality,
            21.2 Equalization Basins                                  the complex ion is typically associated with simple
                Given                                                 ions, called counterions, for example, for the coord-
                                                     3
                The flow from a mine with Q(avg)   0.32 m =s (5000     ination compound, [Co(NH 3 ) 6 ]Cl 3 , the complex ion
                gpm) may vary from month to month with Q(max)=        is [Co(NH 3 ) 6 ] , the three Cl ions are counterions,

                                                                                  3þ
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