The
Debye and Güntelberg Charging Processes are essential
tools for deriving electrolyte solutions’ activity coefficient
models. The Debye–Hückel, Born, and Mean Spherical Approximation
are among some famous theories derived via charging processes. How
they relate to each other, or if both charging processes are equivalent,
or even if both are consistent, has been a matter of discussion in
the literature for many years. In this work, we evaluate the results
from both charging processes using the Debye–Hückel
and the Born equations, using different dependencies of the relative
permittivity concerning salt concentration, temperature, and partial
charging variable. Our results show that both charging processes are
connected through a charging process here called the Ionic Cloud Charging
Process. We show how these three charging processes relate to each
other, verifying the magnitude of the derivatives of relative permittivity
on the final models and their origin from the Ionic Cloud Charging
Process.