Adsorption analysis is a method for describing an overall isotherm of
a mixture of unknown composition such as natural organic substances or
chemical industries wastewater by dividing into fictive components of
different adsorbability. The adsorption behaviour of the fictive comp
onents is characterized by using the Freundlich isotherm. The competit
ive adsorption between these components is described by the Ideal Adso
rbed Solution Theory (IAST). Usually, at given Freundlich parameters K
and n, the initial concentrations of the fictive components must be a
djusted in order to obtain a good fit between calculated and measured
isotherm data points. The results of this adjustment depend to some ex
tent on the minimization criteria. Previously, the modeling was done w
ith empirical or numerical methods which required a lot of computation
time and sometimes caused numerical problems which made the interpret
ation of the results difficult. This paper describes a mathematical me
thod for the evaluation of isotherms by adsorption analysis.