Page 77 - Materials Chemistry, Second Edition
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60        Practical Design Calculations for Groundwater and Soil Remediation



              Discussion:
                1.  Although the sample volume is only 40 mL, the calculation basis
                   was 1 L to simplify the calculation.
                2.  With the presence of the headspace in the sample bottle, the appar-
                   ent liquid concentration was lower than the actual concentration.


           Example 2.35:   Mass Partition between Solid and
                         Liquid Phases in an Aquifer
           The aquifer underneath a site is impacted by tetrachloroethylene (PCE). The
           aquifer porosity is 0.4, and the (dry) bulk density of the aquifer material is 1.6
           g/cm . A groundwater sample contains 200 ppb of PCE.
                3
             Assuming that the adsorption follows a linear model, estimate:

             (a)  The PCE concentration adsorbed on the aquifer material, which con-
                tains 1% by weight of organic carbon.
             (b)  The partition of PCE in two phases, i.e., dissolved phase and
                adsorbed onto the solid phase.

              Solution:
               (a)  The PCE concentration adsorbed onto the solid has been deter-
                   mined in Example 2.31 as 0.50 mg/kg.
               (b)  Basis: 1-L aquifer formation
                   Mass of PCE in the liquid phase
                       = (C)[(V)(ϕ)] = (0.2)[(1)(0.4)] = 0.08 mg
                   Mass of PCE adsorbed on the solid
                       = (S)[(V)(ρ )] = (0.5)[(1)(1.6)] = 0.8 mg
                               b
                   Total mass of PCE = mass in the liquid + mass on the solid
                       = 0.08 + 0.8 = 0.88 mg
                   Percentage of total PCE mass in the aqueous phase
                       = 0.08/0.88 = 9.1%

              Discussion:
              Most of the PCE, 90.9%, in the impacted aquifer is adsorbed onto the
                aquifer materials. This partially explains why the cleanup of aqui-
                fers takes a long time using the pump-and-treat method.

           Example 2.36:   Mass Partition between Liquid and Solid Phases
           A wastewater contains 500 mg/L of suspended solids. The fraction of organ-
           ics of the solids is 1% by weight. The benzene concentration of the filtered
           wastewater is determined to be 5 mg/L. K  of benzene is 85 mL/g.
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