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McKay, Donald. "Front matter" Multimedia Environmental Models ...

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K QA thus can be calculated by the analogous equation,<br />

©2001 CRC Press LLC<br />

K QA = yK OA(r/1000)<br />

where y is organic matter mass fraction. This is equivalent to Z Q = yZ O (r/1000),<br />

where Z O is the chemical’s Z value in octanol and r is the aerosol density.<br />

In summary, Z Q can be deduced using the above equation, using the simple oneparameter<br />

expression for K QA or one of the two-parameter equations for K P. Bidleman<br />

and Harner (2000) discuss the merits of these approaches in more detail.<br />

5.5.6 Other Partition Coefficients<br />

In principle, partition coefficients can be defined and correlated for any phase<br />

of environmental interest, usually with respect to the fluid media air or water. For<br />

example, vegetation or foliage-air partition coefficients K FA can be measured and<br />

correlated against K OA. Since K FA is Z F/Z A and K OA is Z O/Z A, the correlation is<br />

essentially of Z F versus Z O. Hiatt (1999) has suggested that, for foliage, K FA is<br />

approximately 0.01 K OA, implying that Z F is about 0.01 Z O, or foliage has a content<br />

of octanol-equivalent material of 1%.<br />

It is thus possible to estimate Z values for chemicals in any phase of environmental<br />

interest, provided that the appropriate partition coefficient has been measured<br />

or can be estimated. Figure 5.5 summarizes the relationships between fugacity,<br />

concentrations, partition coefficients, and Z values.<br />

5.6 MULTIMEDIA PARTITIONING CALCULATIONS<br />

5.6.1 The Partition Coefficient Method<br />

The calculation of one phase concentration from another by the use of a simple<br />

partition coefficient is the most direct and convenient method. Care must be taken<br />

that the concentration units and the partition coefficient dimensions are consistent,<br />

especially when dealing with solid phases. There may also be inadvertent inversion<br />

of a partition coefficient, i.e., the use of K 12 instead of K 21. It is also possible to<br />

deduce certain partition coefficients from others; e.g., if an air/water and a soil/water<br />

partition coefficient are available, then the air/soil or soil/air partition coefficient can<br />

be deduced as follows:<br />

K AS = K AW/K SW<br />

If we are treating 10 phases, then it is possible to define 9 independent interphase<br />

partition coefficients, the 10th being dependent on the other 9. In principle,<br />

with 10 phases, it is possible to define 90 partition coefficients, half of which are<br />

reciprocals of the others. When dealing with very complex multicompartment envi-

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