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13-16   WATER AND WASTEWATER ENGINEERING

                                The Chick-Watson law assumes that the concentration of disinfectant remains constant. As
                            noted above, even without reaction with other constituents in the water, the disinfectant con-
                            centration decays with time. Even if the concentration is kept constant during inactivation of
                            microorganisms, the results do not always follow  Equation 13-23 . “Tailing,” “shoulders,” and
                            time lags may occur with different microorganism and disinfectant combinations. Different tem-
                            peratures and pH values for the same organism and disinfectant will result in different curves as
                            shown in  Figures 13-4a  and  13-4b .
                                 In many cases the exponent “ n ” in  Equation 13-22  is close to 1.0 (Hoff, 1986). Thus, a fixed
                            value of the product  Ct  results in a fixed degree of inactivation.
                                Plotting combinations of disinfectant concentration and time to a fixed percent inactivation
                                                                                 n
                            for a given temperature yields curves that follow the form of  C    t      constant. The constant is a func-
                            tion of the organism, temperature, and pH. The curves are linear on a log-log scale ( Figures 13-6 A,
                            13-6B, and 13-6C).


                              1000
                                                    Giardia

                              100
                             Time, min    Polio type 1               E. histolytica


                               10
                                               E. coli
                                1
                                0.1                     1                     10
                            (a)                 Free available chlorine, mg/L

                              FIGURE 13-6A
                              Free available chlorine disinfection. Time to achieve 99.6 to 100 percent
                            kill at water temperature of 0	C to 5 	 C.


                              1000

                                                    Giardia
                                                                     E. histolytica
                              100
                             Time, min    Polio type 1

                               10

                                               E. coli
                                1
                                0.1                     1                     10
                            (b)                 Free available chlorine, mg/L
                            FIGURE 13-6B
                              Free available chlorine disinfection. Time to achieve 99.6 to 100 percent kill at
                            water temperature of 10 	 C.
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