Page 913 - Fundamentals of Water Treatment Unit Processes : Physical, Chemical, and Biological
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868                                                                        Appendix H: Dissolved Gases



            H.3  Air Binding in Filter Media—General           Mass percent: Mass of solute divided by (mass of solute þ
                 A rapid filter in water treatment experiences air bind-  mass of solvent)—as given by Silberberg (1996,
                 ing. Provide an analysis of how this can occur.      p. 480).
            H.4  Air Binding in Filter Media—WTP               Molality: Moles of solute dissolved in 1000 g solvent—as
                 The Betasso Water Treatment Plant that serves        given by Silberberg (1996, p. 480).
                 Boulder, Colorado obtains is source water from Silver  Molarity: Moles of solute dissolved in 1 L of solution—as
                 Lake at a high elevation. The water drops to a treatment  given by Silberberg (1996, p. 480).
                 plant more that 300 m lower elevation by means of a  Mole: A mole is defined (Alberty and Silbey, 1992, p. 9) as
                 pipeline to the plant. Air binding in filters has been a  the amount of substance that has as many atoms or
                                                                                                  12
                 chronic problem. Provide an analysis: (1) how the air  molecules as exactly 0.012 kg of  C. A gram-mole
                 gets into the water and (2) the point where the air will  is the mass in grams of 6.022   10 23  molecules of a
                 precipitate.                                         substance; for example, a mole of carbon has a mass
            H.5  Remedies for Air Binding                             of 12.011 g (Table B.1).
                 How would you remedy the air binding filter media?  Mole fraction: Moles of solute dissolved divided by (moles
            H.6  Algae as Possible Cause of Gas Binding               of solute þ mole of solvent)—as given by Silberberg
                 Algae occur in the summer months in Lake Whatcom,    (1996, p. 480).
                 the source water for the Bellingham Water Treatment  Ostwald coefficient: Volume of gas at system temperature T
                 Plant, Washington. Air boils have been observed dur-  and partial pressure p dissolved per unit volume of
                 ing backwash. Provide an analysis of the situation.  solvent. If the solubility is small and the gas phase is
            H.7  Quantification of Air Binding                         ideal, the Ostwald coefficient is independent of p and
                 Convert the dissolved gas in a water source to volume  these two coefficients are simply related by
                 of air that may accumulate in a filter bed after gas  Ostwald coefficient ¼ (T=273)   Bunsen coefficient
                 precipitation.
            H.8  Gas Production in Benthic Muds
                 Gas bubbles are observed breaking at the surface of a
                 lake in Iowa. Explain.                        REFERENCES
            H.9  Algae and Dissolved Gas                       Alberty, R. A. and Silbey, R. J., Physical Chemistry, 1st edn., John
                 Gas bubbles are observed within an algae mass floating  Wiley & Sons, Inc., New York, 1992.
                 on the surface of a pond. Explain.            Ashworth, R. A., Howe, G. B., Mullins, M. E., and Rogers, T. N., Air-
            H.10 Gas Bubbles in Primary Clarifier                    water partitioning coefficients of organics in dilute aqueous
                 A water sample is obtained from the sludge zone of a  solutions, Journal of Hazardous Materials, 18:25–36, 1988.
                                                               Battino, R., Solubility Data Series, Volume 7, Oxygen and Ozone,
                 primary clarifier in a wastewater treatment plant, using
                                                                    International Union of Pure and Applied Chemistry, Pergamon
                 a Kemmerer water sampler. A portion of the sample is
                                                                    Press, Oxford, 1981.
                 released to a 100 mL graduated cylinder and then  Brennan, R. A., Nirmalakhandan, N., and Speece, R. E., Compari-
                 poured into an evaporating dish where a carbon dioxide  son of predictive methods for Henry’slaw coefficients
                                                         1500       of organic chemicals, Water Research, 32(6):1901–1911,
                 titration is carried out. The result was C CO 2
                 mg=L. Gas bubbles were observed breaking the water  June 1998.
                 surface of the clarifier. Explain.             Carroll, J. J., Use of Henry’s law for multicomponent mixtures,
                                                                    Chemical Engineering Progress, 88(8):53–58, August, 1992.
            H.11 Dissolved Gas Concentration from Diffused Aer-
                                                               Carroll, J. J., Henry’s law—a historical view, Journal of Chemical
                 ation
                                                                    Education, 70(2):91–92, February 1993.
                 A diffused aeration system is located at the bottom of a  Carroll, J. J., Henry’s law revisited, Chemical Engineering Progress,
                 pond at elevation 1524 m (5000 ft). The pond is 10.33  95(1):49–56, January 1999.
                 m deep. Determine the dissolved oxygen concentration  Dean, J. A., Lange’s Handbook of Chemistry, 13th edn., McGraw-
                 at the bottom of the pond.                         Hill, New York, 1985.
            H.12 The ‘‘Bends’’ in Salmon                       Eisenberg, D. and Crothers, D., Physical Chemistry—with Applica-
                                                                    tions to the Life Sciences, Benjamin=Cummings Publishing
                 In the Columbia River migrating salmon have been
                                                                    Co., Menlo Park, CA, 1979.
                 killed by the ‘‘bends’’ when swimming below a dam
                                                               Fogg, P. G. T. and Gerrard, W., Solubility of Gases in Liquids, John
                 in the deep water below a dam (in the vicinity of a  Wiley & Sons, New York, 1991.
                 plunging nappe). Explain.                     Gosset, J. M., Cameron, C. E., Eckstrom, B. P., Goodman, C., and
                                                                    Lincoff, A. H., Mass Transfer Coefficients and Henry’s Con-
                                                                    stants for Packed-Tower Air Stripping of Volatile Organics:
            GLOSSARY                                                Measurement and Correlation, Final Report December 1981–
                                                                    May 1984, AD-A158 811 Engineering and Services Labora-
            Bunsen coefficient: Volume (corrected to 08C and 1.0 atm) of
                                                                    tory, Air Force Engineering and Services Center, Tyndall Air
                   gas dissolved per unit volume of solvent at system
                                                                    Force Base, FL, 1984.
                   temperature T when the partial pressure of the solute  Kavanaugh, M. C. and Trussell, R. R., Design of aeration towers to
                   is 1.0 atm (Reid et al. 1977, p. 357, Fogg and   strip volatile contaminants from drinking water, Journal
                   Gerrard, 1991, p. 6).                            American Water Works Association, 71(12):684–692, 1980.
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