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

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0.1, and soil 1.0. There is also an emission of 4 mol/h. Calculate the fugacity<br />

concentrations, persistence amounts and outflow rates.<br />

I = E + GACBA<br />

+ GWCBW<br />

= 4 + 1000 ¥ 0.01 + 1 ¥ 1 = 15 mol/h<br />

SGZ<br />

= 1000 ¥ 4 ¥ 10–4<br />

+1 ¥ 10–1<br />

= 0.5 f = I/ SGZ<br />

= 30 Pa<br />

CA<br />

= 0.012 CW<br />

= 3 CS<br />

= 30 mol/m3<br />

mA<br />

= 120 mW<br />

= 300 mS<br />

= 30 M (total) = 450 mol<br />

GACA<br />

= 12 GWCW<br />

= 3 GSCS<br />

= 0 Total = 15 = I mol/h<br />

t = 450/15 =30 h<br />

In this example, the total amount of material in the system, M, is 450 mol. The<br />

inflow rate is 15 mol/h, thus the residence time or the persistence of the chemical<br />

is 30 hours. This proves to be a very useful time. Note that the air residence time<br />

is 10 hours, and the water residence time is 100 hours; thus, the overall residence<br />

time of the chemical is a weighted average, influenced by the extent to which the<br />

chemical partitions into the various phases. The soil has no effect on the fugacity<br />

or the outflow rates, but it acts as a “reservoir” to influence the total amount present<br />

M and therefore the residence time or persistence.<br />

6.2.3 D values<br />

The group G Z, and other groups like it, appear so frequently in later calculations<br />

that it is convenient to designate them as D values,<br />

i.e.,<br />

©2001 CRC Press LLC<br />

G Z = D mol/Pa h<br />

The rate, N mol/h, then equals D f. These D values are transport parameters, with<br />

units of mol/Pa h. When multiplied by a fugacity, they give rates of transport. They<br />

are thus similar in principle to rate constants, which, when multiplied by a mass of<br />

chemical, give a rate of reaction. Fast processes have large D values. We can write<br />

the fugacity equation for the evaluative environment in more compact form, as shown<br />

below:<br />

f = I/(D AA + D AW) = I/SD Ai<br />

where D AA = G AZ A, D AW = G WZ W, and the first subscript A refers to advection.<br />

Recalculating Example 6.1,<br />

Therefore,<br />

D AA = 0.4 and D AW = 0.1 and SD Ai = 0.5

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