T. Hamieh et B. Siffert, THEORETICAL AND EXPERIMENTAL-STUDY OF THE SURFACE-CHARGE DENSITY AND THE SURFACE-POTENTIAL OF COAL-WATER SUSPENSIONS IN DISSYMMETRICAL ELECTROLYTES, Colloids and surfaces. A, Physicochemical and engineering aspects, 84(2-3), 1994, pp. 217-228
To estimate the physicochemical interactions between dispersed particl
es and the stability of a suspension it is necessary to know the surfa
ce charge and surface potential of the particles. In practice, the sur
face potential can reach very high values (+/-100 to +/-400 mV). In th
at case, the solution of the Debye-Huckel equation becomes inaccurate.
The same holds if the particle radius a becomes very small (500-10 an
gstrom) and if kappaa < 100 where kappa is the Debye-Huckel reciprocal
length. In the latter case, the Poisson-Boltzmann equation (implying
parity between a spherical particle and a plane surface) becomes unsui
table. A more suitable and precise solution of the non-linear Poisson-
Boltzmann equation for charged spherical particles in the presence of
dissymmetrical electrolytes was worked out. The relationship between t
he electrostatic potential PSI(x) and the surface charge sigma0 was es
tablished. It was found that electrolytes with trivalent anions (1-3 a
nd 2-3 electrolytes) give higher surface densities. These theoretical
results were confirmed by studying the surface charge and potential of
coal-in-water suspensions in the presence of various dissymmetrical e
lectrolytes such as Na2SO4, Na5P3O10, CaCl2, Na3PO4 and NaCl. Using ou
r theoretical model and experimental results we were also able to obta
in the changes in electrostatic potential as a function of the distanc
e x (from the particle surface) in various electrolytes and for differ
ent pH values. Our experimental results were in good agreement with th
e theoretical calculations. It was demonstrated (in order of decreasin
g surface charge density) that sigma0(NaTPP) > sigma0(Na3PO4) > sigma0
(Na2SO4) > sigma0(NaCl) > sigma0(CaCl2) or sigma0(1-5) > sigma0(1-3) >
sigma0(1-2) > sigma0(1-1) > sigma0(2-1)