Batch adsorber design for different solution volume/adsorbent mass ratios using the experimental equilibrium data with fixed solution volume/adsorbent mass ratio of malachite green onto orange peel

Equilibrium studies were carried out at 305 K for the sorption of malachite green onto orange peel for a fixed operating line condition (solution volume/adsorbent mass ratio or V/M ratio). The experimental data were fitted to the Freundlich, Langmuir and Redlich–Peterson isotherms by non-linear method. The best fitting isotherm was found to be the Langmuir and Redlich–Peterson isotherm. Redlich–Peterson is a special case of Langmuir isotherm when the constant g equals unity. A single stage batch adsorber was designed for different operating line (V/M) ratios using the Redlich–Peterson isotherm. Equilibrium data were obtained from the Langmuir isotherm at different V/M ratios using the mass balance equation for the batch adsorber system. A simple linear expression relating the parameters involved in the batch adsorber design was proposed for the studied system.