Page 253 - Soil and water contamination, 2nd edition
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240                                                  Soil and Water Contamination

                     t=0                      Centre of mass at times t  , t  , and t
                     x=0                                     1  2   3
                                   t               t                   t
                                   1               2                    3



                           L
                           1

                                  L  2                                             x - direction

                                             L
                                              3




                                   max
                                  C       at t 1

                            Concentration          C      at t 2       C      at t 3
                                                   max

                                                                        max


                                                                                    6642  6642  6642
                            0      L               L                   L
                                    1               2                   3
                                                     Distance  (x)
                    Figure 13.1  Downstream propagation of a pulse injection into a river due to advection  and dispersion.  In addition,
                    the injected chemical is subject to first-order removal . Note that the chemographs become broader while travelling
                    downstream (dispersion) and their size decreases.



                    13.2  SORPTION EQUILIBRIUM AND KINETICS

                    Adsorption and desorption  reactions between solute and the surfaces of solids play a very
                    important role in the retention  or even immobilisation  of chemicals by solids. The sorption
                    mechanisms of dissolved constituents onto solid particles include cation exchange  at
                    negatively charged surfaces of clay minerals , and hydrophobic sorption  of organic compounds
                    to organic coatings or organic matter .  These mechanisms are controlled by the physico-
                    chemical properties of both the solute and the sorbent; many solids can preferentially adsorb
                    some types of dissolved constituents.
                       In Section 2.5.4 we saw that when water containing a dissolved chemical is mixed with a
                    solid medium, the total mass of the chemical partitions between the solution and the solid.
                    The following equation represents a mass balance  of this process in a given volume of water:
                                 M                       V
                    C     C    C   s      C   ( C   C )                                (13.3)
                     tot  w    s           s    tot  w
                                  V                     M
                                                          s
                                                                                 -3
                    where  C  = the total concentration of the chemical in the water [M L ],  C  = the
                           tot                                                        w
                                                          -3
                    concentration of the chemical in solution [M L ], C  = the concentration of the chemical
                                                              s




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        Soil and Water.indd   252                                                           10/1/2013   6:45:10 PM
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