Dubinin and the Brouers-Sotolongo family isotherms

TL;DR

This paper relates the Dubinin isotherm to Brouers-Sotolongo isotherms, compares their fits to experimental data, and proposes a methodology for extracting macroscopic information from statistical isotherms.

Contribution

It establishes a connection between Dubinin and Brouers-Sotolongo isotherms and introduces a new method for analyzing adsorption data.

Findings

Dubinin and Brouers-Sotolongo isotherms can be related.

Experimental data fits show comparable accuracy.

Proposed methodology aids in extracting macroscopic parameters.

Abstract

We show how the Dubinin isotherm and its extensions can be related to the isotherms derived from the general BrouersSotolongo isotherm. We compare them using benzene vapor adsorbed on activated carbon data from one of the original Dubinin paper. We use the same procedure to analyze data from the thesis of MarquezMontesino on the adsorption on activated carbon prepared from pinus caribaea saw dust. We conclude by proposing a simple methodology to determine the macroscopic information given by genuine statistical isotherms.