Permeability coefficients across a membrane as derived from integrated Fick's law can be obtained from transport data according to the equation $$\ln{\Bigg(\frac{C}{C^0}\Bigg)}= -\frac{P~a}{V}t$$ where \(P\) is the permeability coefficient, \(a\) is the membrane exposed area, \(C\) and \(C^0\) are the species concentrations at any time and at initial time in the feed phase, respectively, and \(V\) is solution volume.
permcoef(trans, vol, area, units = c("cm^3", "cm^2", "h"), conc0 = NULL,
plot = FALSE)Data frame with the complete transport information of
interest species. Must be generated using
conc2frac.
Volume of the feed solution.
Membrane exposed area to the feed solution.
Units in which volume, area and time are provided. Volume
and area are function's parameters while the time is
extracted from the trans data frame.
Initial concentration of the species in the feed solution. The
value may be extracted from transport information if the data
frame provided in trans is not normalized. See
conc2frac for details.
logical default to TRUE. Should the plot be made?
A numeric vector with the permeability coefficient and it's standard uncertainty from the regression. Units are meters per second.
Species concentration units may be arbitrary as long as the permeability coefficient is calculated using the change in concentration ratio which is, as most ratios, adimensional