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Biological Reactions and Kinetics                                                                687



            This means that the enthalpy (defined as the internal energy plus  mostly since the 1950s; texts from that period through the
            PV energy) wants to go from higher to lower values. The entropy  recent decade have summarized available knowledge and
            wants to increase, which results in a more negative value of DG.  were cited extensively. Of the reputed 1000 papers on activated
            For example, a gas confined to a bottle will diffuse once the cap  sludge to the early 1970s, several have been ‘‘landmark,’’ a few
            is off; its entropy is increasing giving more disorder. To get the  of which have been identified and, in some cases, cited.
            gas back in the bottle (more order) requires energy. Essentially
            all water treatment involves trying to get more order from
            disorder. In biological treatment where we want to remove a  22.3.1 COMPOSITION OF SUBSTRATES
            dissolved substrate from water the cells have more order. Also,
                                                               Formulae for substrate and cells are required as the first step
            we can settle the cells and further process them (such as vacuum
                                                               in constructing a balanced chemical equation. Categories of
            filtration), creating still more order.
                                                               substrates include organic compounds such as glucose,
              The foregoing summary is intended to introduce a few of the
                                                               alcohols, proteins, etc; and inorganic compounds such as
            thermodynamic terms that are mentioned in this text. The review
                                                               ammonia (occurring as NH 3 or NH 4 , depending on pH), nitrates,
                                                                                          þ
            is not intended to explain a topic that warrants a focused study.
                                                               and sulfates.
            The idea of treating microbial cell synthesis as a chemical
            reaction and relating the free-energy of reaction to the yield of
                                                               22.3.1.1  Domestic Wastewater and Organic
            cells and applied to biological treatment was reviewed during the
                                                                        Compounds
            early to mid 1960s by Servizi and Bogan (1963, p. 64) and
            McCarty (1964) and are what might be termed, ‘‘classic’’ papers  Formulae for representative organic substances of interest in
            on the topic.                                      wastewater treatment are given in Table 22.4. Domestic was-
                                                               tewater is first, and was derived from laboratory analysis, as
                                                               was the formula for bacterial cells. A general formula for
            22.3 BIOLOGICAL TREATMENT OVERVIEW
                                                               carbohydrates is given as CH 2 O, which has a multitude of
            The two aspects of biological treatment are (1) the reaction,  variations, a few of which are shown, e.g., glucose, sucrose,
            and (2) kinetics. The reaction is best understood as a balanced  and lactose. Other substances listed are indicative of the
            chemical equation and the kinetics is usually expressed by the  variety found in raw wastewaters or may occur at some
            classic Monod equation. In addition to understanding prin-  stage of treatment. Urea, in the bottom row, is a source of
            ciples, certain reference material is useful, including chemical  ammonia and comes from the breakdown of protein to amino
            formulae on substrates and cells; and coefficients such as cell  acids, which breaks down further to give urea as a product,
            yield, and Monod. The material reviewed has been building  and is a physiological process (Rawn, 1989, p. 468).



                        TABLE 22.4
                        Formulae for Sampling of Organic Compounds
                        Substance            Composition       Formula              Reference
                        Domestic wastewater  Fats, protein, sugars  C 10 H 19 O 3 N  Orhon and Artan (1994, p. 95)
                        Bacteria cells   Protein, fats, lipids, etc.  C 5 H 7 O 2 N  Porges et al. (1956, p. 43)
                        Carbohydrates    Cellulose, starch, sugars  CH 2 O  Eckenfelder and Weston (1956, p. 21)
                        Glucose                              C 6 H 12 O 6  Eckenfelder and Weston (1956, p. 21)
                        Sucrose                              C 12 H 22 O 11  Eckenfelder and Weston (1956, p. 21)
                        Lactose                              C 12 H 22 O 11   H 2 O  Eckenfelder and Weston (1956, p. 21)
                        Protein          Amino acids,        C 16 H 24 O 5 N 4  Orhon and Artan (1994, p. 95)
                                          nitrogenous organics
                        Grease           Fats and oils       C 8 H 16 O    Orhon and Artan (1994, p. 95)
                        Methyl alcohol                       CH 3 OH       Eckenfelder and Weston (1956, p. 21);
                                                                            Orhon and Artan (1994, p. 95)
                        Ethyl alcohol                        CH 3 CH 2 OH  Eckenfelder and Weston (1956, p. 21);
                                                                            Orhon and Artan (1994, p. 95)
                        Acetic acid                          CH 3 COOH     Eckenfelder and Weston (1956, p. 21);
                                                                            Orhon and Artan (1994, p. 95)
                        Propionic acid                       CH 3 CH 2 COOH  Orhon and Artan (1994, p. 95)
                        Urea                                 H 2 NCONH 2   Stryer (1981, p. 33)
                        Sources: Orhon, D. and Artan, N., Modeling of Activated Sludge Systems, Technomic Publishing Co., Lancaster, PA, 1994;
                               Eckenfelder, W.W. Jr. and Weston, R.F., in McCabe, J. and Eckenfelder, W.W. Jr., (Eds.), Biological Treatment
                               of Sewage and Industrial Wastes, Volume 1, Aerobic Oxidation, Reinhold Publishing, New York, 1956.
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