
this distribution, which are used in Section 18.7 in our discussion of pharmacokinetics and
environmental modeling.
The properties we are interested in here all relate to the tendency for a chemical to
distribute itself between two connected phases. The phases involved may include air,
water, soil, or sediment in the environment, and tissues, membranes, lipids, and so on,
in organisms. The molecules of a chemical will be distributed according to the physico-
chemical attractions they have for the other molecules surrounding them in each phase.
The physicochemical attractive forces are the same as those described in Section 3.3: van
der Waals, dipole moment, hydrogen bonds, and so on. The process by which a chemical
distributes itself between two phases is called partitioning.
The equilibrium between two phases is described by exactly the same thermodynamics
as was developed for biochemical reactions in Chapter 5. In phase transfer the ‘‘reaction’’
is comparatively simple:
compound in phase A () compound in phase B
This leads to a definition of the phase equilibrium constant, which states that the com-
pound simply distributes itself between the two phases at a constant ratio, called the parti-
tion coefficient, K
P
:
K
P
¼
C
A
C
B
ð18:1Þ
where C
A
and C
B
are the concentrations of the compound in phases A and B, respectively.
(For use in partition constants, the concentrations can be expressed either in molar or mass
concentration units.)
One of the most basic partition parameters describing a chemical is its vapor pressure,
P
v
. This is the partial pressure at a given temperature that a chemical will have in equili-
brium with its pure liquid or solid phase. For example, if a vial is filled partway with ben-
zene liquid and sealed, the benzene will vaporize int o the airspace until its partical
pressure reaches an equilibrium value, which is the vapor pressure. The vapor pressure
can be considered to be a measure of the attractive forces among a compound’s molecules.
The stronger the attraction, the lower the vapor pressure. A high vapor pressure can facil-
itate exposure to toxic subst ances by inhalation or atmospheric transport.
Because it is such a basic property, the vapor pressure can serve as a sort of reference
concentration for comparison wtih concentrations in other phases. To be more precise, the
concentrations in different phases can be converted to units of fugacity, which are equiva-
lent to gas-phase partial pressure under ideal gas conditions. Put another way, the fugacity
can be thought of as the partial pressure of a substance in equilibrium with whatever con-
centration and phase is under consideration. The vapor pressure, then, corresponds to a
reference fugacity, or the concentration in any phase in equilibrium with the pure liquid.
Some investigators use fugacity in place of concentration units to express the amounts of a
contaminant in the environment.
At ambient pressures, the ideal gas law is very accurate for both pure and mixed gases
and rarely needs correction. Expressed in terms that relate the partial pressure of com-
pound i, P
i
, to concentration in mass/volume units, C
i
, and to temperature, T, and the
gas law constant, R, the ideal gas law is
P
i
M¼C
i
RT ð18:2Þ
PHYSICOCHEMICAL PROPERTIES 735