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I <br />' Partitioning of Compounds Between Water and Subsurface Solids <br />' • Given sufficient time, equilibrium can be established between concentrations of <br /> MTBE in air and water as described by Henrys Law constant, which is <br /> temperature dependent If the same units are selected for the air and water <br /> I concentrations, then Henry's Law constant is dimensionless However, the Henry's <br /> Law constant alone cannot be used to predict the volatility of MTBE from natural <br /> water because volatilization also depends on environmental vanables such as <br />' surface-water turbulence, and to some extent wind velocity <br /> Water solubility is probably the most important chemical property affecting the <br /> partitioning of organic compounds between water and subsurface solids Many <br />' organic compounds exhibit water solubilities in the low milligrams-per-liter to <br /> micrograms-per-liter range In general, these low solubilities indicate a strong <br /> partitioning to the organic carbon associated with the subsurface solids However, <br />' MTBE is very water soluble compared to the BTEX compounds and other <br /> components in gasoline, the solubility of pure liquid MTBE in water is about 50,000 <br /> mg/L (milligrams per liter) whereas the next most-soluble component of gasoline is <br />' benzene, which has a solubility of 1,780 mg/L (Mackay and others, 1992, 1993) <br /> Diffusion of HOCs in the vadose zone consists of several interacting processes of <br />' which three appear to be the dominating and controlling mechanisms; gaseous <br /> diffusion, liquid diffusion, and intraparticle and intraorganic matter diffusion <br /> (controlling adsorption-desorption reactions) Gas-phase diffusion coefficients are <br /> generally considered 103 to 104 larger than solute diffusion coefficients (Petersen <br /> I et al ,_1994),and the intraparticle and intraorganic matter diffusion is considered to <br /> be orders of magnitude lower (Grathwohi. 1998) Hence, it is important to <br /> recognize that the effective diffusion of HOCs in soil is not alone controlled by the <br />' soil-water content,but also by soil and chemical properties because these strongly <br /> affect the partitioning of HOCs between the soil phases and therefore controls the <br />' velocity at which HOCs move <br /> Gaseous diffusion has been shown to be dominant for many volatile HOCs in <br /> unsaturated soil because of a significant partitioning into the gaseous phase <br />' (McArthy and Johnson. 1993, Petersen et al . 1994, Batterman et al . 1996) <br /> If the air-filled porosity of the soil, C(cm3 soil air cm-3 soil), and the soil water <br /> content, #(cm3 soil water cm-3 soil),are assumed constant and solute diffusion is <br />' negligible, effective diffusion of a sorbing chemical such as naphthalene in the soil <br /> can be described by, <br /> fi/rT h <br /> l^ 1� .. • � <br /> �� f'1 C21 <br />' where Fis the chemical flux (Ng cm-2 soil&), Ctoiai is the total chemical <br /> concentration (jig cm-3 soil), z is soil depth (cm soil), 06 is the effective diffusion <br />' coefficient (cm2 soil d-1), Rg is the ratio of total/gas-phase concentration at <br /> equilibrium (CioW,equiiibnurdGas equdibnum)hereafter referred to as the retardation factor <br /> • <br /> 1 <br />