Mathematical modeling for adsorption process of dye removal nonlinear equation using power law and exponentially decaying kernels

2020 ◽  
Vol 30 (4) ◽  
pp. 043106 ◽  
Author(s):  
Sania Qureshi ◽  
Abdullahi Yusuf ◽  
Asif Ali Shaikh ◽  
Mustafa Inc ◽  
Dumitru Baleanu
Keyword(s):  
Mathematical Modeling ◽  
Nonlinear Equation ◽  
Power Law ◽  
Dye Removal ◽  
Adsorption Process

Effects of Langmuirian adsorption on the potentiostatic response at spherical and planar electrodes

1991 ◽  
Vol 56 (1) ◽  
pp. 42-59 ◽  
Author(s):  
María-Luisa Alcaraz ◽  
Jesús Gálvez
Keyword(s):  
Power Law ◽  
Adsorption Process ◽  
Asymptotic Solutions ◽  
Planar Electrodes ◽  
Comparison Of The Results

Equations for a potentiostatic reaction with an adsorption process following Langmuir’s isotherm have been derived for the expanding sphere with any power law electrode model. This model is very general and includes, among others, the following ones: (a) stationary plane; (b) stationary sphere; (c) expanding plane; and (d) expanding sphere. Characteristics of these solutions and the behavior of the corresponding asymptotic solutions are discussed. A comparison of the results obtained for plane and spherical electrodes has also been performed.

Mathematical Modeling of the Hydrogen Adsorption Process

2021 ◽  
Author(s):  
M.H. Alruyshid ◽  
B. Dmitrievsky ◽  
A. Ishin ◽  
S. Skvortsov ◽  
A. Terekhova
Keyword(s):  
Mathematical Modeling ◽  
Adsorption Process ◽  
Hydrogen Adsorption

scholarly journals Baker’s yeast-MnO2 composites as biosorbent for Malachite green: An ecofriendly approach for dye removal from aqueous solution

2018 ◽  
Vol 14 (1) ◽  
pp. 1
Author(s):  
Bruna Assis Paim dos Santos ◽  
Aline Silva Cossolin ◽  
Hélen Cristina Oliveira dos Reis ◽  
Ketinny Camargo de Castro ◽  
Evanleide Rodrigues da Silva ◽  
...  
Keyword(s):  
Aqueous Solution ◽  
Malachite Green ◽  
Dye Removal ◽  
Adsorption Process ◽  
Baker’S Yeast ◽  
Baker's Yeast ◽  
Direct Oxidation ◽  
Langmuir Isotherm Model ◽  
Pseudo Second Order ◽  
Biomass Dosage

In this study, baker’s yeast-MnO2 composites, produced by direct oxidation of yeast with KMnO4 under acidic conditions, were used as biosorbent to remove the triphenylmethane dye Malachite green (MG) from an aqueous solution. Parameters that influence the adsorption process, such as pH, contact time, temperature, initial dye concentration and biosorbent dosage, were evaluated in batch experiments. The optimum removal of MG was found to be  86.7 mg g-1 at pH 10, 1.0 g L-1 of biomass dosage and 45°C. The kinetic data of dye removal was better described by the pseudo-second-order model. The adsorption process followed the Langmuir isotherm model and the maximum biosorption capacity was estimated to be  243.9 mg g-1 (at 25°C). The negative values of ∆G° and the positive value of ∆H° indicated that the MG biosorption onto yeast-MnO2 composites is spontaneous and endothermic. Fourier transform infrared spectroscopy (FTIR) indicated that the nano-MnO2 particles deposited on yeast-MnO2 composites surface facilitated the MG adsorption. It was concluded that baker’s yeast-MnO2 composites have potential for application as adsorbent for removal of MG from aqueous solution.

scholarly journals Removal of Crystal Violet Dye from Aqueous Solutions onto Date Palm Fiber by Adsorption Technique

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Mashael Alshabanat ◽  
Ghadah Alsenani ◽  
Rasmiah Almufarij
Keyword(s):  
Crystal Violet ◽  
Date Palm ◽  
Dye Removal ◽  
Adsorption Process ◽  
Maximum Adsorption Capacity ◽  
Order Model ◽  
Date Palm Fibers ◽  
Crystal Violet Dye ◽  
Pseudo Second Order ◽  
Influence Of Ph

The adsorption of crystal violet (CV) onto date palm fibers (DPFs) was examined in aqueous solution at 25°C. The experimental maximum adsorption capacity value was0.66×10−6. Langmuir, Freundlich, Elovich and Temkin models were applied to describe the equilibrium isotherms. The influence of pH and temperature on dye removal was evaluated. The percentage removal of CV dye by adsorption onto DPF at different pH and temperatures showed that these factors play a role in the adsorption process. Thermodynamic analysis was performed, and the Gibbs free energyΔGο, enthalpy changeΔHο, and entropyΔSοwere calculated. The negative values ofΔGοindicate spontaneous adsorption. The negative value ofΔHοindicates that the interaction between CV and DPF is exothermic, and the positive value ofΔSοindicates good affinity between DPF and CV. The kinetic data were fitted to a pseudo-second-order model.

scholarly journals Sustainable Development of Magnetic Chitosan Core–Shell Network for the Removal of Organic Dyes from Aqueous Solutions

Materials ◽  
2021 ◽  
Vol 14 (24) ◽  
pp. 7701
Author(s):  
Karthik Rathinam ◽  
Xinwei Kou ◽  
Ralph Hobby ◽  
Stefan Panglisch
Keyword(s):  
Electrostatic Interactions ◽  
Dye Removal ◽  
Adsorption Process ◽  
Organic Dyes ◽  
Core Shell ◽  
Order Kinetic ◽  
Alizarin Red ◽  
Anthraquinone Dye ◽  
Magnetic Chitosan ◽  
Repulsive Forces

The wide use of alizarin red S (ARS), a typical anthraquinone dye, has led to its continued accumulation in the aquatic environment, which causes mutagenic and carcinogenic effects on organisms. Therefore, this study focused on the removal of ARS dye by adsorption onto a magnetic chitosan core–shell network (MCN). The successful synthesis of the MCN was confirmed by ATR-FTIR, SEM, and EDX analysis. The influence of several parameters on the removal of ARS dye by the MCN revealed that the adsorption process reached equilibrium after 60 min, pH played a major role, and electrostatic interactions dominated for the ARS dye removal under acidic conditions. The adsorption data were described well by the Langmuir isotherm and a pseudo-second order kinetic model. In addition to the preferable adsorption of hydrophobic dissolved organic matter (DOM) fractions onto the MCN, the electrostatic repulsive forces between the previously adsorbed DOM onto MCN and ARS dye resulted in lower ARS dye removal. Furthermore, the MCN could easily be regenerated and reused for up to at least five cycles with more than 70% of its original efficiency. Most importantly, the spent MCN was pyrolytically converted into N-doped magnetic carbon and used as an adsorbent for various dyes, thus establishing a waste-free adsorption process.

scholarly journals Removal of triphenylmethane dye from aqueous solutions through an adsorption process over waste materials

2020 ◽  
Vol 10 (4) ◽  
pp. 5772-5779
Keyword(s):  
Adsorption Isotherm ◽  
Adsorption Capacity ◽  
Dye Removal ◽  
Functional Group ◽  
Adsorption Process ◽  
Removal Rate ◽  
Freundlich Isotherm ◽  
Second Order ◽  
Pseudo Second Order ◽  
Best Fit

Water pollution is the most significant issue due to rapid growing industrial development especially textile dye industry. Therefore, the adsorption process experiment was conducted to determine the removal ability of the adsorbent chosen. The removal rate and adsorption capacity of Phenol red and Cresol were analyzed by using eggshell adsorbent in the adsorption process. The experiment was conducted with parameters of initial concentration, dosage, pH and contact time. Results indicated that the removal rate achieved more than 90% and the adsorption capacity exceeded more than 5 mg/g. The functional group before adsorption process eggshell adsorbent and after adsorption process eggshell adsorbent was analyzed by using FTIR (Fourier Transform Infrared Spectroscopy). The study of adsorption isotherm and kinetics model was carried out to identify the efficiency of the eggshell adsorbent reacting with the dye solution. The adsorption isotherm that applied in this research was Langmuir isotherm, Jovanovic isotherm and Freundlich isotherm. Moreover, Pseudo-first-order and Pseudo-second-order chosen were conducted to determine the kinetic studies. In short, eggshell adsorbent is highly effective on dye removal through adsorption capacity. The functional group of the eggshell adsorbent was found such as alcohols, phenol, alkanes, carbonyls, ester, saturated aliphatic, aldehydes, aromatics, 2°amines and phosphorus. For kinetics study, Freundlich isotherm was analyzed as the best fit isotherm model as it achieved the highest R2 value which is closed to 1 and Pseudo-second-order was analyzed as the best fit kinetic model in this experiment. Therefore, eggshell adsorbent is highly effective in dye removal.

scholarly journals A Novel Geopolymer Foam Based On ZSM-5 Zeolite Fabricated Using Templating Emulsion/Chemical Foaming Method and Its Application in Batch and Continuous Dye Removal Systems

2022 ◽  
Author(s):  
Mahboobeh Monjezi ◽  
Vahid Javanbakht
Keyword(s):  
Adsorption Capacity ◽  
Dye Removal ◽  
Adsorption Process ◽  
Dye Adsorption ◽  
Batch Adsorption ◽  
Maximum Adsorption Capacity ◽  
Continuous Systems ◽  
Green Materials ◽  
Pseudo Second Order ◽  
Chemical Foaming

Abstract Geopolymers as sustainable and environmentally friendly “green materials”, can be synthesized by utilizing waste material and by-products. A porous geopolymer foam adsorbent based on ZSM-5 zeolite was prepared using templating emulsion/chemical foaming method in different conditions and used for dye removal in batch and continuous systems. The parameters affecting the dye adsorption including temperature, concentration, and pH, kinetics, isotherm, and thermodynamics of the process were investigated. The results of the geopolymer foam synthesis showed that thermal pretreatment of the zeolite has a positive effect on the strength and adsorption capacity. Moreover, the increase in sodium silicate more than the stoichiometric reduces the strength and adsorption capacity. The findings obtained from the batch adsorption process showed that the adsorption kinetics of the pseudo-second-order model and the adsorption isotherm of the Temkin model is adjusted with the experimental data. Thermodynamic results indicated that the process of dye adsorption with geopolymer foam is exothermic. The results from continuous experiments indicated more compatibility of the adsorption process with the models of Thomas and Bohart-Adams. The maximum adsorption capacity of methylene blue in batch and continuous processes was 9.82 and 8.17 mg/g. The adsorbent reduction was performed successfully by chemical and thermal processes.

scholarly journals Preparation and Characterization of Bio-Adsorbent from Coconut Husk for Remazol Red Dye Removal

2020 ◽  
Vol 11 (3) ◽  
pp. 10006-10015
Keyword(s):  
Dye Removal ◽  
Adsorption Process ◽  
Burning Time ◽  
Ftir Analysis ◽  
Coconut Husk ◽  
Different Types ◽  
Ft Ir ◽  
Remazol Red ◽  
Red Dye

This study aimed to evaluate the effectiveness of bio-adsorbent from coconut husk for the removal of remazol red dye. The characteristics of coconut husk bio adsorbent are studied using Fourier transform infrared (FT-IR) and scanning electron microscope (SEM). The effects of different types of adsorbent and the effects of initial dye concentration on the removal of remazol red dyes were evaluated. The results showed that the percentage removal of remazol red dye by the treated bio adsorbent is higher compared to the untreated bio adsorbent, especially by activated coconut husk with 5 hours burning time in the furnace. The SEM results also show that the treated bio adsorbent morphology is more porous and rougher to improve the adsorption process. Meanwhile, FTIR analysis shows the reduction of peaks because of the removal of much lignin and hemicelluloses. The best adsorbent recorded is activated coconut husk at 5 hours burning time when it achieved 75% removal.

Green Synthesis of Silver Nanoparticles Using a Terrestrial Weed Mucuna bracteata DC and Their Adsorption Study on Reactive Red 120

2020 ◽  
Vol 12 (2) ◽  
pp. 207-214
Author(s):  
N. Mahalaxmi ◽  
E. V. Ramasamy
Keyword(s):  
Dye Removal ◽  
Adsorption Process ◽  
Silver Ions ◽  
Blue Shift ◽  
Ambient Conditions ◽  
X Ray Diffraction ◽  
Tem Analysis ◽  
Reactive Red 120 ◽  
Pseudo Second Order ◽  
Ft Ir

An eco-friendly method of silver nanoparticle (SNPs) synthesis is presented by utilizing a terrestrial weed, Mucuna bracteata DC. This plant based nanoparticles are effectively reducing anionic dye, Reactive Red 120 by adsorption—an effective method of dye removal from effluents. The method enables the rapid synthesis of SNPs at ambient conditions without any use of hazardous chemicals. The characterization of nanoparticles with UV-visible spectrophotometer indicated the absorption peak at 299 of blue shift; SEM and TEM analysis has revealed the presence of particles with spherical morphology of about 30–80 nm in size; The X-ray diffraction and EDAX studies confirmed the presence of silver atoms; The FT-IR spectra indicated the role of hydroxyl functional groups and amino group of the phyto extract, are responsible for the reduction and stabilizing silver ions in to SNPs. The dye removal results showed that the adsorption process increases when the concentration of nanoparticles increases. The adsorption process obeys Langmuir isotherm (R2 value were 0.994 and RL value lies between 0 and 1) and pseudo second order kinetics (R2 value were 0.998) more effectively. The isotherm and kinetic model confirmed that Mucuna bracteata based SNPs can be used as a suitable adsorbent for the removal of dyes from effluents.

scholarly journals Microporous carbon material from fish waste for removal of methylene blue from wastewater

2020 ◽  
Vol 81 (6) ◽  
pp. 1180-1190
Author(s):  
You Wang ◽  
Qifan Peng ◽  
Naseem Akhtar ◽  
Xiaonong Chen ◽  
Yaqin Huang
Keyword(s):  
Methylene Blue ◽  
Carbon Material ◽  
Dye Removal ◽  
Adsorption Process ◽  
Low Cost ◽  
Blue Dye ◽  
Adsorption Efficiency ◽  
High Adsorption ◽  
Fish Waste ◽  
Pseudo Second Order

Abstract Microporous fish waste-based activated carbon material (MFC) was prepared, with a large surface area of 2,193.52 m²/g, a pore size of 2.67 nm and micropore and total pore volumes of 0.9168 cm³/g and 0.9975 cm³/g, respectively. Adsorption efficiency of MFC was investigated by removal of methylene blue dye from wastewater. The Langmuir model and pseudo-second-order kinetics adequately described the adsorption process. MFC exhibited a high adsorption capacity of 476.19 mg/g at 30 °C, and reached equilibrium within 1 h. MFC could be an efficient and low-cost adsorbent for cationic dye removal during wastewater treatment.

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