A New Kinetic Model for Multicomponent Adsorption in Batch Systems

2018 ◽  
Author(s):  
yongson hong ◽  
Kye-Ryong Sin ◽  
Yong-U Ri ◽  
Jong-Su Pak ◽  
Yung Jon ◽  
...  

In many of kinetic studies on binary component adsorption, the kinetic models for unary component adsorption were used although binary adsorption process were more complex than unary ones. We proposed a new kinetic model for multicomponent adsorption in batch systems. This model, using the deactivation kinetics model(DKM) for the noncatalytic heterogeneous reaction, is represented by a set of simultaneous ordinary differential equations, the characteristic is to calculate the concentration of adsorbates and the overall deactivation degree of the adsorbent with time together. The multicomponent adsorption kinetic model was solved with ODE function of MATLAB and the kinetic parameters were estimated by the nonlinear least squares fitting. The results of nonlinear fitting to the previous experimental data show that the proposed kinetic model can be useful for kinetics modeling of multicomponent adsorption in batch systems. <br>

2018 ◽  
Author(s):  
yongson hong ◽  
Kye-Ryong Sin ◽  
Yong-U Ri ◽  
Jong-Su Pak ◽  
Yung Jon ◽  
...  

In many of kinetic studies on binary component adsorption, the kinetic models for unary component adsorption were used although binary adsorption process were more complex than unary ones. We proposed a new kinetic model for multicomponent adsorption in batch systems. This model, using the deactivation kinetics model(DKM) for the noncatalytic heterogeneous reaction, is represented by a set of simultaneous ordinary differential equations, the characteristic is to calculate the concentration of adsorbates and the overall deactivation degree of the adsorbent with time together. The multicomponent adsorption kinetic model was solved with ODE function of MATLAB and the kinetic parameters were estimated by the nonlinear least squares fitting. The results of nonlinear fitting to the previous experimental data show that the proposed kinetic model can be useful for kinetics modeling of multicomponent adsorption in batch systems. <br>


2018 ◽  
Author(s):  
yongson hong ◽  
Kye-Ryong Sin ◽  
Yong-U Ri ◽  
Jong-Su Pak ◽  
Yung Jon ◽  
...  

In many of kinetic studies on binary component adsorption, the kinetic models for unary component adsorption were used although binary adsorption process were more complex than unary ones. We proposed a new kinetic model for multicomponent adsorption in batch systems. This model, using the deactivation kinetics model(DKM) for the noncatalytic heterogeneous reaction, is represented by a set of simultaneous ordinary differential equations, the characteristic is to calculate the concentration of adsorbates and the overall deactivation degree of the adsorbent with time together. The multicomponent adsorption kinetic model was solved with ODE function of MATLAB and the kinetic parameters were estimated by the nonlinear least squares fitting. The results of nonlinear fitting to the previous experimental data show that the proposed kinetic model can be useful for kinetics modeling of multicomponent adsorption in batch systems. <br>


The Analyst ◽  
2015 ◽  
Vol 140 (9) ◽  
pp. 3121-3135
Author(s):  
Fereshteh Emami ◽  
Marcel Maeder ◽  
Hamid Abdollahi

Schematic of intertwined equilibrium-kinetic model at time = 0,1,2…T when both equilibrium and kinetic models are solved explicitly.


Catalysts ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 1150
Author(s):  
Muhammad Hamza ◽  
Ataf Ali Altaf ◽  
Samia Kausar ◽  
Shahzad Murtaza ◽  
Nasir Rasool ◽  
...  

Dye removal through photocatalytic degradation employing nanomaterials as catalysts is a growing research area. In current studies, photocatalytic alizarin red (AR) dye degradation has been investigated by designing a series of Cr based manganese oxide nanomaterials (MH1–MH5). Synthesized nanomaterials were characterized by powder X-ray diffraction, scanning electron microscopy/energy dispersive x-ray, Brunauer–Emmett–Teller, and photoluminescence techniques and were utilized for photocatalytic AR dye degradation under UV light. AR dye degradation was monitored by UV–visible spectroscopy and percent degradation was studied for the effect of time, catalyst dose, different dye concentrations, and different pH values of dye solution. All the catalysts have shown more than 80% dye degradation exhibiting good catalytic efficiencies for dye removal. The catalytic pathway was analyzed by applying the kinetic model. A pseudo second-order model was found the best fitted kinetic model indicating a chemically-rate controlled mechanism. Values of constant R2 for all the factors studied were close to unity depicting a good correlation between experimental data.


2008 ◽  
Vol 3 (2) ◽  
Author(s):  
S Renganathan ◽  
R Venkatakrishnan ◽  
P Gautam ◽  
Lima Rose Miranda ◽  
M Velan

Sorption capacity of two different parts of Eichhornia crassipes such as Lamina and Petiole on a Basic dye (Basic Aurophine-O), Acidic dye (Acid Fast Red-A) and Reactive dye (Brill Red-5B) was studied in a batch system. The maximum equilibrium uptake capacity of petiole was 25.5 mg/g for Basic Aurophine-O, 23.1 mg/g for Acid Fast Red-A and 0.18 mg/g for Brill Red-5B. The equilibrium uptake capacity of petiole was found to be more in Basic Aurophine-O dye when compared to all other dyes studied. The maximum equilibrium uptake capacity of lamina was 27.0 mg/g for Basic Aurophine-O, 25.2 mg/g for Acid Fast Red-A and 4.2 mg/g for Brill Red-5B. The equilibrium uptake capacity of lamina was found to be more in Basic Aurophine-O when compared to Brill Red-5B and Acid Fast Red-A dyes studied in the present investigation. From the result, it was observed that the uptake capacity of dyes using E. crassipes part Lamina was found to be more when compared to the other E. crassipes part of Petiole used in the present study. Sorption results were found to be fitted very well with the Pseudo-second order kinetic model when compared to Pseudo-first order kinetic model. The intra particle diffusion coefficient (Ki) and diffusion coefficient (Di) obtained for the removal of dyes studied using Lamina was found to be more when compared to the other part of Petiole. The polynomial equations are developed and can be used as a ready reckoner equation to find out the percentage color removal of dyes studied in the present investigation at different period of time intervals.


2013 ◽  
Vol 781-784 ◽  
pp. 647-652
Author(s):  
Shuang Gao ◽  
Ling Hua Zhang ◽  
Qing Chen ◽  
Lin Bai ◽  
Ya Jun Lang

Ectoine had important physiological functions and superior potential applications, so the study of ectoine was extensively attented. This article was related to kinetic models of cell growth, product formation and substrate consumption, which was not only established according to the characteristics of ectoine batch fermentation by Halomonas salina DSM 5928 but also obtained the kinetic parameters by the nonlinear fitting method in the Microcal Origin software. Logistic, Luedeking-Piret and Luedeking-Piret-like equations was applied to analyze the cell growth, the ectoine formation and the substrate consumption by the kinetic model,respectively. The results between calculated values and experimental data were coincident. By fitting, correlation coefficients R2 were ≥ 0.989. The fermentation conditions of ectoine were analyzed according to the model. The results showed that ectoine productivity (0.28 g/L/h) was the highest when initial monosodium glutamate concentration (S0) was 60 g/L. However, when S0 was 80 g/L, the ectoine concentration was maximal, i.e., 7.59 g/L. The research suggested that ectoine formation belonged to the mixed kinetic mechanism of cell growth and biomass concentration, while the ectoine production mainly depended on instantaneous biomass concentration. The fermentation method for improving ectoine concentration was further proved. The established kinetic model will be of significant value to provide the optimal conditions of present process.


2018 ◽  
Vol 83 (4) ◽  
pp. 473-488 ◽  
Author(s):  
Abbas Roshanaei ◽  
Mehdi Alavi

The kinetic studies of propane aromatization reaction over Zn/ /HZSM-5 catalyst at temperature of 500?560?C and space velocity of 500?2500 cm3 gcat -1 h-1, in a plug flow reactor, under catalyst deactivating conditions were performed. A lumped kinetic model consisting of six lumped components and six reaction steps was proposed to describe the aromatization of propane. The kinetic model involves 18 kinetic parameters and one catalyst deactivation constant. The reaction steps orders were obtained by the power law model. Frequency factors and the apparent activation energies of the reaction steps were calculated based on the Arrhenius equation. An exponential function depending on the time-on-stream was applied for the catalyst deactivation model and the kinetic parameters were calculated via a genetic algorithm. The kinetic results indicated that the lumped kinetic model can well estimate the product yields of propane aromatization.


2012 ◽  
Vol 19 (1) ◽  
pp. 29-38
Author(s):  
Klara Piotrowska ◽  
Mirosław Imbierowicz ◽  
Andrzej Chacuk

Wet Oxidation of Dairy Sewage Results of kinetic studies on the process of wet oxidation of dairy sewage are presented. Experiments were carried out in a stirred batch tank reactor at the oxygen partial pressure equal to 1 MPa and at temperature ranging from 473 to 523 K. Dairy sewage was subjected to oxidation at a natural pH close to 4. The efficiency of decomposition of organic compounds was estimated on the basis of TOC measurement. The highest TOC reduction rate reached 79.6%. A kinetic model of the process was proposed and its parameters were determined experimentally. Good agreement of the experimental and calculated results was obtained.


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