The Jossens isotherm: A critical look at water contaminant adsorption modeling

Abstract

ABSTRACT The Jossens isotherm is a useful model for describing water contaminant adsorption. This article critically examines several issues that impede its practical application. Initially, it clarifies the common misidentification of the Redlich–Peterson isotherm as the Jossens isotherm. Next, it addresses the challenge of deriving unique parameter values from the original loading-implicit form of the Jossens isotherm due to the high correlation between parameters. To resolve this problem, the article proposes a more robust solution: a loading-explicit form based on the Lambert W function, which facilitates reliable parameter estimation. Finally, the article critiques the current linearized Jossens isotherm, which relies on a trial-and-error method for parameter estimation, and introduces two alternative linearized forms that eliminate the need for this subjective approach.