Page 56 - gas transport in porous media
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Chapter 4: Solid/Gas Partitioning
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                           Table 4.1. Examples of solid–gas sorption coefficients onto dry soils
                                                                   Solid–gas partition  Solid–water partition
                                           Organic carbon  Surface area  coefficients,  coefficient,
                                                         2
                                                                                      3
                                                                        3

                           Soil type       content (%)  (m /g)     K (cm /g)     K d (cm /g)
                                                                    d
                           Rhineback a     3           82.5        1,377         1.41
                           Harford a       1.6         44.0        1,669         0.96
                           Gila a          0.4         98.5        1,831         0.3
                                      a
                           Montmorillonite  0.02       733         23,300        0.31
                           Iron Oxides b   N/A         273         15,840        N/A
                           Kaolinite b     N/A         10          440           N/A
                           Aquifer Soil c  0.1         18.7        1,464         0.1
                           Yolo c          1.1         80.6        3,401         0.58
                           a
                            Ong and Lion (1991a)
                           b
                            Shimizu et al. (1992)
                           c
                            Peterson et al. (1995)
                           N/A – not available
                           properties of the sorbate and sorbent. Most of these equations relate the adsorption
                           coefficients to the enthalpies of vaporization, enthalpies of adsorption, and saturation
                           vapor pressures (e.g., Goss and Schwarzenbach, 1998; Goss and Schwarzenbach,
                           1999). However, these equations do not consider the effects of moisture or humid-
                           ity on the sorption of VOCs. Typical solid–vapor partitioning coefficients, K ,

                                                                                             d
                           for trichloroethylene (TCE) on oven-dried soils are presented in Table 4.1. As a
                           comparison, the aqueous solid–water partitioning coefficients, K d , are also presented.
                             In a moist environment, the mass of VOC sorbed is less than the mass of VOC
                           sorbed on oven-dried surfaces due to competition for sorption sites between water
                           molecules and VOCs (Call, 1957; Chiou and Shoup, 1985; Rhue et al., 1989; Ong
                           and Lion, 1991b; Thibaud et al., 1992; Goss, 1993; Storey et al., 1995). The charged
                           surfaces of minerals and soils have a higher affinity or preference for water molecules
                           than the hydrophobic vapor compounds. Figure 4.2 shows the impact of different
                           relative humidities on the sorption of TCE onto alumina.
                             Assuming that the mass of VOC sorbed for each process is additive, the mass of
                           VOC sorbed can be written as:

                                    Total mass sorbed = Mass sorbed at the solid–water interface
                                                     + Mass dissolved in the liquid phase
                                                     + Mass sorbed at the gas–water interface
                                                     + Mass sorbed at the solid–gas interface
                                                     + Condensation into pores

                             If sufficient moisture is present on the surface of the soil, the mass sorbed at the
                           solid–gas interface can be neglected. Ignoring condensation, the vapor partitioning
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