Adsorbed Layer Thickness Determination for Convective-Based Media from Pressure Drop Data

In the present work, we derive a theoretical framework to determine the adsorbed layer thickness from pressure drop measurements for convective-based media without any assumptions about the geometry of the pore structure of the stationary phase matrix. Equations are presented to calculate accuracy of the estimated adsorbed layer thickness as a consequence of measurement error and approximations of the mathematical model. We discovered that there is a minimum in the error for certain pressure drops that results in optimal experimental conditions for determining the adsorbed layer thickness. We demonstrate that the adsorbed layer thickness can be determined with less than 10% error using a wide range of experimental conditions simply from pressure drop data. By careful selection of porous bed dimensions and flow rates, the adsorbed layer thicknesses from subnanometer dimensions up to several hundred nanometers can be determined by measurement of the pressure drop in a range of several bars. The method was experimentally tested on methacrylate monolithic columns using monodisperse latex nanoparticles as a reference standard and two different proteins as unknowns demonstrating close agreement with calculations.