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Chemical transformation                                               249

                   Table 13.3  Rate constants for nitrification  (k n ) and denitrification  (k d ) in rivers  reported in the literature.
                                    River                             Source
                   k n      k d
                   d -1     d -1
                   0.5–0.8          ‘Normal range’                    Veldkamp and Van Mazijk (1989)
                   0.1–0.6          ‘Normal range’                    Thomann (1972)
                   > 1              ‘Smaller streams’                 Thomann and Mueller (1987)
                   0.5–3.0          River Trent, UK                   Garland (1978)
                   0.7              Willamette  River, Oregon, USA    Rickert (1982)
                   0.2–4.4          Speed River, Ontario, Canada      Gowda (1983)
                   0.0–1.9          River Rhine , Netherlands         Admiraal and Botermans (1989)
                   0.1      0.0–0.1  ‘Normal range’                   EDS (1995)
                   0.04–0.2  0.0–1.0  ‘Model documentation values (maximum range)’ EPA (1985)
                   3.0–4.0  1.75    Biebrza  River, Poland (summer)   Van der Perk (1996)
                   0.0      1.25    Langbroekerwetering, Netherlands (winter)  Van der Perk (1996)
                   0.5      0.5     Regge River, Netherlands          Van den Boomen et al. (1995)
                   3.0      1.75    Grindsted  River, Denmark         Bach et al. (1989)
                   0.66–5.20  0.57–5.28  Upper reach South Platte River (annual   Sjodin et al. (1997)
                                    range normalised to 20 °C)
                            0.1     Bedford Ouse River, UK            Whitehead et al. (1981)
                            0.05    River Thames,  UK                 Whitehead and Williams (1982)
                                                             -1
                                                            3
                            0.455     Mississippi River, USA (Q < 28.3 m  s )  Alexander et al. (2000)
                                    (nitrogen loss rate rate constant)
                                                           -1
                            0.118   Mississippi River, USA (28.3 m  s  < Q < 283 m   Alexander et al. (2000)
                                                                    3
                                                         3
                                    s  ) (nitrogen loss rate rate constant)
                                     -1
                                                          -1
                                                                    3
                                                        3
                            0.051   Mississippi River, USA (283 m  s  < Q < 850 m   Alexander et al. (2000)
                                    s  ) (nitrogen loss rate rate constant)
                                     -1
                                                           3
                                                             -1
                            0.005   Mississippi River, USA (Q > 850 m  s )   Alexander et al. (2000)
                                    (nitrogen loss rate rate constant)
                                                         -3
                   where  NH  = ammonium  concentration [M L ],  DO  = dissolved oxygen  concentration
                            4
                                                                  -1
                        -3
                   [M L ],  k   = maximum nitrification   rate constant [T ].  The Monod half-saturation
                            n,max
                                                        -1
                   concentration  is approximately 0.5 mg O  l  for most biochemical oxidation reactions
                                                      2
                   with oxygen as limiting oxidant . Moreover, in biodegradation  reactions of some organic
                   pollutants, the pollutant itself is one of the substrate components or can even constitute the
                   major substrate component. In this case, the rate constant depends on the concentration of
                   the pollutant itself, a co-substrate (reductant ), and the oxidant:
                            C          S          O 2
                    k                                  k max                          (13.19)
                          M    C     M    S    M    O 2
                            n
                                      n
                                                 n
                          pollutant  co-substrate  oxidant            oxidant
                                    (reductant)                       (reductant )
                      In the environmental temperature  range of 10 to 30 °C, an increase of temperature
                   generally results in an enhancement of microbial activity.  The rate of biochemical
                   reactions increases exponentially with temperature, so the percentage increase per degree is
                   approximately constant (Thomann and Mueller, 1987):
                   k       k   ( 1 T  2 T  )                                          (13.20)
                     1 T    2 T
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