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



            temperature; dissolved-oxygen concentration; and pH (Parker  where
            et al.=EPA 1975, pp. 3-6–3-29). The kinetic rate constant, m,  M is the methanol concentration (mg methanol=L)
            for ammonia follows the Monod equation, i.e., with    K M is the half-saturation constant for methanol (mg
            C(NH 4 ) as the S. The cell concentration, X(nitrifiers),  methanol=L)
                 þ
            depends on the fraction, f(nitrifiers), of X (the MLSS in the
            reactor), which depends on the BOD=TKN ratio (Parker  They give K M ¼ 0.1 mg methanol=L; in other words an
            et al.=EPA 1975, pp. 3–22). Oxygen is a reactant, per the  excess of ethanol above the stoichiometric requirement is not
            stoichiometric equation, Equation 22.9, and affects the spe-  necessary as about 1 mg methanol=L in the reactor effluent is
            cific growth rate as defined by a ‘‘secondary’’ Monod equa-  sufficient for the kinetic coefficient to approach the maximum.
            tion,  i.e.,  by  the  factor  [C(O 2 )=(K s (O 2 )þC(O 2 )],  or  Concerning pH, the highest rate is in the range 7.0   pH   .5.
                                          1
            m   0.19   [C(O 2 )=(2.0þC(O 2 )] day ; the curve starts to  As evident from Equation 22.10 the reaction is anoxic, which
            level at C(O 2 ) > 4mg O 2 =L, with about 0.8 fraction of bm  means that oxygen has a negative effect since it has a stronger
            at 4 mg=L. The effect of pH is due to the alkalinity require-  affinity for electrons than does NO 3 .

                                                  is available at  Since the reaction must occur without oxygen, an anoxic
            ment, per Equation 22.9, in which HCO 3
            7.0 < pH < 8.4.                                    reactor must be added to follow the nitrification reactor. A
              Nitrification is done most effectively in a separate nitrifi-  carbon supplement is usually required.
            cation activated-sludge reactor, then the cell-separator stage
            that follows the organic carbon (BOD) reactor and cell separ-
            ator. In the design of the system, from u c   1=(m   b), then  22.5.9 PHOSPHOROUS UPTAKE
             m
            u   1=(bm   b)   1=(0.32–0.05) day  1   3.7 day (note that
             c
                                                       m
            b   0.05 day  1  was assumed). The SRT(design) > u ;thus,  22.5.9.1  Occurrence in Wastewaters
                                                       c
            SRT(design)> 3.7 day. Parker et al.=EPA (1975, pp.3-19–3-20)  The three forms of phosphorous in wastewater are orthopho-
            recommended SRT(design)   5 day, with an associated reduc-  sphate, polyphosphate, and organically bound phosphate
            tion in ammonia concentration >0.95 fraction.      (Orhan and Artan, 1994, p. 471). The orthophosphates
              A major factor in successful nitrification is that nitrifiers  are easily assimilated by microorganisms. McCarty (1970,
            must comprise a significant fraction of the biomass, i.e., X,in  227) gives the formulae of condensed phosphates as
                                                                                                               4
                                                                                    5
            the reactor. This requires a low BOD=TKN ratio in the  tripolyphosphate, P 3 O 10 ; and pyrophosphate as P 2 O 7 ,
            reactor, calculated as BOD removed in mg=L and TKN  which must be hydrolyzed to the PO 4  3  form for assimilation;
            oxidized in mg=L; to illustrate, if the numbers are 20 and 25,  about 0.5–0.8 fraction are hydrolyzed during biological treat-
                                                               ment (p. 228). The total P in wastewater ranges 6–20 mg=L
            respectively, BOD=TKN   0.8. Further, if Y(net nitrifiers)
                                                                                          3
            0.15 kg nitrifiers synthesized=kg NH 4 as N oxidized and if  and the orthophosphate, PO 4 -as-P ranges 4–15 mg=L
                                          þ
            Y(net-cell-mass)  0.55 kg cells synthesized=kg BOD oxidized,  (Orhan and Artan, 1994, p. 472). Table 22.2 provides add-
            then (f nitrifiers)  (0.15   25)=[(0.15  25)þ(0.55   20)] ¼ 0.25.  itional resolution on concentrations and forms. Black and
            The low BOD=TKN ratio is achieved by adding a nitrifying  Veatch=EPA (1971, p. 2-1) gave a yearly mass P output per
            reactor with sludge recycle, after the carbon reactor. In other  capita in municipal wastewater as 1.6 kg (3.5 lb) with about
            words, to emphasize, the treatment train adds a nitrification  0.5 kg (1.2 lb) from human excretions and about 1.1 kg
            reactor with a cell separator and recycle. For most systems,  (2.3 lb) from detergents with phosphates and gave an average
            1   BOD=TKN   3, for which 0.21 > (f-nitrifiers) > 0.08.  total P in domestic raw wastewater as 10 mg P=L.
            Parker et al.=EPA (1975, pp. 3–25) showthatat208C, the

            nitrification rate, U(N)¼ f(nitrifiers)  [(m(nitrifiers)=Y(nitrifiers)]   22.5.9.2  Uptake to Cells
                                            1
            (0.25kgnitrifiers=kg all cells)  [0.32 day =0.15 kg cells synthe-
                                                               Phosphorous is an integral part of cell matter such as DNA,
            size=kg NH 4 -N oxidized]  0.53 kg NH 4 -N oxidized=kg all
                                             þ
                      þ
                                                               RNA, ADP=ATP, etc., and therefore is an essential nutrient.
            cells=day. The ‘‘all cells’’ is measured as MLVSS. Thus, the rate
                                                               From the P-based cell formula by Stumm, C 106 H 180 O 45 N 16 P,
            of substrate utilization rate, U, depends to a large extent on the
                                                               Equation 22.5, MW ¼ 2429 g=mol and MW(P)   31, giving
            fraction of nitrifiers.
                                                               fraction(P)   0.013. Bowker and Stensel (EPA, 1987, p. 15)
                                                               gave 0.015 < fraction(P) < 0.02. They gave an estimated
            22.5.8.2  Denitrification: NO 3 to N 2 Gas          0.10 < fraction=removal(P) < 0.30. Their historical review


            Concerning denitrification, i.e., conversion of NO 3  to N 2  referred to a 1955 finding that P uptake could exceed the
            gas, kinetic constants are given in Table 22.9. Parker et al.=  cell fractions normally expected, and 1965 observations at a
            EPA (1975, pp. 3–40) use a secondary Monod relationship to  full-scale plant of P   1mg=L with adequate aeration, which
            calculate the effect of other variables on the maximum spe-  was referred to as ‘‘luxury uptake.’’ For such sludges, 0.02 <
            cific growth rate. For the effect of methanol as carbon source  fraction(P) < 0.07.
            the relationship given was
                                                               22.5.9.3  Theory
                                            M
                               _
                   m(nitrifiers) ¼ m(nitrifiers)       (22:59)  In the early 1970s the additional uptake was thought by
                                         K M þ M               some to have been due to chemical precipitation, which
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