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In the present study, the applicability of Mn-doped PbS nanoparticle synthesis for eliminating (methylene blue [MB]) dye rapidly from aqueous solutions was investigated. Identical techniques including Brunauer–Emmett–Teller theory, Fourier transform infrared, X-ray diffraction, thermogravimetric analysis, differential thermal analysis and scanning electron microscopy have been utilised to characterise this novel material. The investigation showed the applicability of Mn-doped PbS nanoparticles as an available, suitable and low-cost adsorbent for proper deletion of (MB) dye from aqueous media. Also, the impacts of variables including initial (MB) dye (X 1 ), pH (X 2 ), adsorbent dosage (X 3 ), sonication time (X 4 ), central composite design and response surface methodology (RSM) were shown. In the current article, the values of 10 mgL −1 , 0.025 g and 6.0 and 5.0 min were considered as the ideal values for (MB) dye removal, respectively. The adsorption data fitted well with the Langmuir isotherm model with correlation coefficient ( R2  &gt; 0.999), and the maximum adsorption capacities (q max ) were observed to be 200.0 mg g −1  for (MB) dye at desired conditions. The pseudo-second-order kinetics coincides quite well with the kinetic results. The thermodynamic parameters including enthalpy, entropy and Gibbs energy were calculated for the adsorption of these (MB) dyes using Mn-doped PbS nanoparticles that are suitable, spontaneous and exothermic. The use of artificial neural network model as a tool for determining mean square error (=0.607) for (MB) dye removal by Mn-doped PbS nanoparticles. Ultrasonic power had important role in shortening the adsorption time of (MB) dye by enhancing the dispersion of adsorbent in solution. Overall, Mn-doped PbS nanoparticles could be a promising adsorbent material for (MB) dye removal from aqueous solutions in a short time.

international journal of environmental analytical chemistry

Ultrasonic assisted adsorption of methylene blue dye and neural network model for adsorption of methylene blue dye by synthesised Mn-doped PbS nanoparticles