The applicability of a distributed parameter model for describing the
distribution of aniline and alpha-naphthylamine between soil and aqueo
us phases at short contact times was assessed. Mass action equations c
onsidered in the distributed parameter model were (a) acid dissociatio
n of the protonated organic amine (BH+); (b) sorption of the neutral s
pecies (B) to soil organic carbon through the partition coefficient K-
oc; and (c) ion exchange of the protonated organic amine and inorganic
divalent cations (Ca2+ + Mg2+ = D2+). The last reaction was expressed
mathematically as separated association reactions for each cation to
unoccupied cation exchange sites, with constants K-BH and K-D. A Gauss
ian distribution on log KBH values with mode mu and standard deviation
a was employed. The overall model was expressed as a system of two no
nlinear equations with two unknown values (BH+ and D2+). The model was
evaluated with aniline and a-naphthylamine isotherms measured on thre
e Indiana soils ranging in pH (4.5-7.0) and added calcium concentratio
n (0.5-50 mM) after a 24 h contact period. The parameters K-oc, mu, an
d sigma for each amine were obtained by minimizing the sum of squared
residuals between predicted and measured aqueous-phase organic amine c
oncentrations (i.e., [B](aq) + [BH+](aq)) for all soil, pH, and CaCl2
conditions, simultaneously. Calculated isotherms were compared against
those calculated with the general form of the speciation model in whi
ch a singular value of KBH was employed. The distributed parameter for
m of the model resulted in nonlinear calculated isotherms in general a
greement with the curvature of alpha-naphthylamine measured isotherms.
Skewed distributions on log K-BH were evaluated also.