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652                                                        The Toxicology of Fishes


                              TABLE 14.4
                              Selected Output Data from the QWASI Model Simulation of Chemical Fate in the
                              Hypothetical Lake
                                                                     Anthracene       Pyrene

                              Fugacities (Pa)
                              Water column                            1.46 × 10 –05  5.8 × 10 –06
                              Sediment                                1.27 × 10 –05  8.02 × 10 –06
                              Fluxes (kg/year)
                              Sediment burial                            0.063           0.845
                              Sediment transformation                    1.128           4.693
                              Water transformation                     110.109          72.558
                              Volatilization                             7.916           3.998
                              Water outflow                              35.901          69.830
                              Water particle outflow                      0.510           4.333
                              Total water and particle outflow           36.411          74.163
                              Concentrations
                                              3
                              Air concentration (ng/m )                100             100
                              Total water concentration (ng/L)         665.0          1354.6
                                                      3
                              Total sediment concentration (mol/m )     17.7           210.2
                              Total concentration in particles (ng/g)  1864.4        15,829.7
                              Total concentration in sediment solids (ng/g)  291.1    3932.7
                              Total concentration in sediment pore water (ng/L)  570.3  1765.3
                              Mass
                              Water (kg)                                 9.98           20.32
                              Sediment (kg)                              3.16           42.52
                              Total mass in system (kg)                 13.13           62.84


                       Table 14.3 give the input data for these chemicals, including the physicochemical properties of the two
                       PAHs and the physical parameters of the illustrative lake. Table 14.4 gives selected output data, including
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                       concentrations (g/m ), fluxes (kg/year), and masses of the PAHs in water and sediment. Figure 14.2 and
                       Figure 14.3 present these data pictorially.

                       Anthracene
                       Figure 14.2 shows that of the total anthracene input of 155.6 kg/yr, most (100 kg/yr, or 64.2%) enters
                       the system by direct discharges with water inflow contributing 54.7 kg/yr (35.2%) and atmospheric
                       absorption and deposition 0.876 kg/yr (0.56%). The water column contains 9.98 kg at a concentration
                                                        3
                                   3
                       of 0.000665 g/m  or equivalently 665 µg/m  which is sufficient to generate loss processes that dissipate
                       the inputs exactly. There is a total transfer of 3.25 kg/yr to the sediment, but 2.06 kg/yr returns by
                       resuspension and diffusion; thus, there is a net transfer of 1.19 kg/yr. Other losses in decreasing order
                       of importance are reaction in water, 110 kg/yr (70.8%); outflow, 36.4 kg/yr (23.4%); and evaporation,
                       7.9 kg/yr (5.1%). Of this net transfer of 1.19 kg/year from the water column to the sediment, most is
                       degraded (1.128 kg/yr), with some (0.063 kg/yr) being permanently buried in inaccessible sediment.
                       The mass in the sediment is 3.16 kg, about one third the mass in the water column. Of the total 665
                       µg/m  in the water, 656 µg/m  is in solution (and may thus be bioavailable) and 9 µg/m  is sorbed to
                                                                                           3
                           3
                                              3
                       suspended sediment; thus, all but 1.3% is in solution. This is typical for a relatively low suspended solids
                       concentration such as 5 mg/L. If this was 20 mg/L, the percent sorbed would increase to about 5%.
                        Key additional quantities that emerge from these results are the residence times of the chemical in
                       each compartment. The residence time is defined as the mass in the compartment divided by the total
                       input or output rate. It can be viewed as the average time the chemical resides in the compartment before
                       being removed. For the sediment, this is 3.16 kg divided by 3.251 kg/yr, or 0.97 year. For the water
                       column, it is 9.98 kg divided by 155.6 kg/yr, or a shorter 0.064 year (23 days). Overall, for the entire
                       system, the residence time is 13.13 kg divided by 155.6 kg/yr, or 0.084 year (31 days). The implication
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