Models of carboxyl acidity frequently applied to humic substances (HS)
are examined by potentiometric titrations of polycarboxylic acids of
intermediate size (N = number of acid groups = 3-70). The unique prope
rties of these acids are not well described by extrapolation from smal
l (N = 1 or 2) or large (N > 100) acids. The intrinsic acidity constan
t, pK(int), varies with N, reaching a minimum in the intermediate size
range (N = 4 to 14). The site interaction parameter Phi contains a la
rge non-electrostatic term for the smaller acids, even though site het
erogeneity is minimal. Models of HS acidity must explicitly consider (
1) the size domain of the humic mixture, rather than relying on small-
or large-acid models and (2) the polar effects of uncharged polar gro
ups.