Here, a mathematical model is presented, which accounts
for the
dependence of the surface electrical charge density (σ) on pH
and the concentration of added salts (C
s), generated when a water drop rolls or slides on the surface of
a hydrophobic polymer, a process known as liquid–polymer contact
electrification (LPCE). The same model was successfully applied to
fit the isotherms of ξ-potential as a function of pH, reported
in the literature by other authors for water–poly(tetrafluoroethylene)
(PTFE) interfaces. Hence, the dependence of σ and ξ on
pH was described using the same concept: acid–base equilibria
at the water–polymer interface. Equilibrium constants were
estimated by fitting experimental isotherms. The experimental results
and the model are consistent with a number of 10–100 acid–base
sites/μm2. The model predicts the increase of |σ|
and |ξ| with pH in the range of 2–10 and the existence
of a zero-charge point at pHzcp ≅ 3 for PTFE (independent
of C
s). Excellent fits were obtained with K
a/K
b ∼ 9
× 107, where K
a and K
b are the respective acid and base equilibrium
constants. On the other hand, the observed decrease in |σ| and
|ξ| with C
s at fixed pH is quantitatively
described by introducing an activity factor associated with the quenching
of water activity by the salt ions at the polymer–water interface,
with quenching constant K
q. Additionally,
the quenching predicts a decrease in |σ| and |ξ| at extreme
pH, where I > (1/K
q)
(I: ionic strength), in agreement with literature
reports.
Water drops become charged after sliding on a polymer surface. The variation of the detected charge with pH and ionic strength are compatible with OH− or H+ transfer from the drop to the polymer. These changes are accounted for by a thermodynamic model.
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