Derivation of Azizian–Volkov (AV)-isotherm based on statistical thermodynamics

A New Isotherm for Multisite Occupancy Adsorption of Binary Gaseous Mixtures

“…This new isotherm equation accounts for two different states of an adsorbate. 21,22 Since there are many industrial situations that contain several components, it is necessary to introduce isotherm equations for binary adsorption. In recent years, multicomponent equilibrium studies have been passed through many stages of development.…”

“…33 Also, statistical thermodynamics has been applied for the derivation of other adsorption isotherms. 22,[34][35][36][37] The purpose of the present work is to derive a new isotherm for binary adsorption, in such a way each molecule occupies more than one site in the lattice sites.…”

“…The design of industrial adsorption equipment requires the availability of reliable equilibrium data and theoretical models for their accurate prediction. Until recently, equilibrium adsorption (thermodynamics) has been studied extensively, and there are various isotherm equations that relate the amount of adspecies to the pressure or concentration at equilibrium. − Most recently, we proposed a new isotherm equation based on classical and statistical thermodynamics, known as the Azizian−Volkov (AV) isotherm. This new isotherm equation accounts for two different states of an adsorbate. , …”

“…On the basis of statistical thermodynamics, the EA isotherm has been derived for the adsorption of linear k -mers in such a way that each molecule occupies k sites in the lattice . Also, statistical thermodynamics has been applied for the derivation of other adsorption isotherms. ,− The purpose of the present work is to derive a new isotherm for binary adsorption, in such a way each molecule occupies more than one site in the lattice sites.…”