Kinetics and thermodynamics of methyl orange adsorption from aqueous solutions-artificial neural network-particle swarm optimization modeling

•PbO-NP-AC was used for the adsorption of methyl orange.•The optimized contact time and pH were found to be 20 min and 2 respectively.•ANN-particle swarm method is used for optimization of influential parameters.•MO removal efficiency increased with the increase in the contact time.•The maximum adsorption capacity of PbO-NP-AC is 333.33 mgg− 1

The efficiency and performance of lead oxide nanoparticles loaded activated carbon were well investigated and elucidated for the removal of methyl orange dye. The influence of variables like; pH, contact time, MO concentration and mass of adsorbent was investigated and optimized by artificial neural network-partial swarm optimization (ANN-PSO). At optimal conditions predicted by ANN-PSO, the coefficient of determination (R2) and mean square error (MSE) correspond to test data were 0.97 and 0.00093, respectively. The maximum removal percentage (~ 98%) was observed at conditions set at: 0.02 g of PbO-NP-AC, 15 mg L− 1 of MO at pH 2.0 following mixing and stirring for 20 min. The experimental data were efficiently explained by the Langmuir isotherm model at all conditions with maximum adsorption capacity of 333.33 mg g− 1. Kinetic studies at various adsorbent mass and initial MO concentrations revealed that maximum MO removal was achieved within 15 min. The experimental data follow the pseudo-second-order rate equation.

Graphical abstractMorphological and anatomical property of the synthesized lead oxide nanoparticle.Download full-size image