• Title/Summary/Keyword: pseudo second order

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Study on Process Parameter of Ethyl Violet by Activated Carbon Adsorption (활성탄 흡착에 의한 Ethyl Violet의 공정 파라미터 연구)

  • Lee, Jong-Jib
    • Journal of Korean Society of Water Science and Technology
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    • v.26 no.6
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    • pp.143-152
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    • 2018
  • The process parameters of ethyl violet from aqueous solution by activated carbon adsorption were carried out as a function of pH, temperature, contact time, initial concentration and temperature. The adsorption equilibrium data can be described well by the Langmuir and Freundlich isotherm models. Base on Langmuir constant ($R_L=0.0343{\sim}0.0523$) and Freundlich constant (1/n=0.1633~0.1974), This process could be employed as effective treatment for adsorption of ethyl violet. The kinetic experimental results showed that the adsorption process can be well described with the pseudo second order model. Based on the positive enthalpy (6.505 kJ/mol), the adsorption of ethyl violet onto granular activated carbon is endothermic. The negative Gibbs free energy (-1.169~-1.681 kJ/mol) obtained indicates that the adsorption process is spontaneous and physisorption.

Enhanced ion-exchange properties of clinoptilolite to reduce the leaching of nitrate in soil

  • Kabuba, John
    • Analytical Science and Technology
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    • v.35 no.2
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    • pp.41-52
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    • 2022
  • The leaching of nitrate from soil increases the concentration of elements, such as nitrogen, phosphorus, and potassium, in water, causing eutrophication. In this study, the feasibility of using clinoptilolite as an ion-exchange material to reduce nitrate leaching in soil was investigated. Soil samples were collected from three soil depths (0 - 30, 30 - 90, and 90 - 120 cm), and their sorption capacity was determined using batch experiments. The effects of contact time, initial concentration, adsorbent dosage, pH, and temperature on the removal of NO3- were investigated. The results showed that an initial concentration of 25 mg L-1, a contact time of 120 min, an adsorbent dosage of 5.0 g/100 mL, a pH of 3, and a temperature of 30 ℃ are favorable conditions. The kinetic results corresponded well with a pseudo-second-order rate equation. Intra-particle diffusion also played a significant role in the initial stage of the adsorption process. Thermodynamic studies revealed that the adsorption process is spontaneous, random, and endothermic. The results suggest that a modification of clinoptilolite effectively reduces the leaching of nitrate in soil.

SHADOWING PROPERTY FOR ADMM FLOWS

  • Yoon Mo Jung;Bomi Shin;Sangwoon Yun
    • Journal of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.395-408
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    • 2024
  • There have been numerous studies on the characteristics of the solutions of ordinary differential equations for optimization methods, including gradient descent methods and alternating direction methods of multipliers. To investigate computer simulation of ODE solutions, we need to trace pseudo-orbits by real orbits and it is called shadowing property in dynamics. In this paper, we demonstrate that the flow induced by the alternating direction methods of multipliers (ADMM) for a C2 strongly convex objective function has the eventual shadowing property. For the converse, we partially answer that convexity with the eventual shadowing property guarantees a unique minimizer. In contrast, we show that the flow generated by a second-order ODE, which is related to the accelerated version of ADMM, does not have the eventual shadowing property.

The Effects of Charge Transfer Complex on the Reaction of Aniline and Iodine (Aniline과 Iodine간의 반응에 있어서 전하이동 착물의 영향)

  • Oh-Yun Kwon;U-Hyon Paek;Eung-Ryul Kim
    • Journal of the Korean Chemical Society
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    • v.36 no.2
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    • pp.174-179
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    • 1992
  • Reaction of aniline and iodine in$CHCl_3,\;CH_2Cl_2 : CHCl_3$(1 : 1), and $CH_2Cl_2$ has been studied kinetically by using conductivity method, Pseudo first-order rate constants ($k_{obs}$) and second-order rate constants ($k_{obs}$/[aniline]) are dependent on the aniline concentration. Second-order rate constants obtained were increased with increasing aniline concentration. We analysed these results on the basis of formation of charge transfer complex as reaction intermediate. From the construction of react ion scheme and derivation of rate equation, we calculated equilibrium constants and activation parameters for the formation and transformation of charge transfer complex. The equilibrium constants were decreased by an increase in the dielectric constant of the solvent and the value is 1.7-3.7$M^{-1}$. The rate of transformation are markedly affected by the solvent polarity. ${\Delta}H^{\neq}$ is about 14.2kJ/mol, and ${\Delta}S^{\neq}$ is large negative value of -243J/mol K.

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Chemical Modification of Porcine Brain myo-Inositol Monophosphate Phosphatase by N-bromosuccinimide

  • Lee, Byung-Ryong;Bahn, Jae-Hoon;Jeon, Seong-Gyu;Ahn, Yoon-Kyung;Yoon, Byung-Hak;Kwon, Hyeok-Yil;Kwon, Oh-Shin;Choi, Soo-Young
    • BMB Reports
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    • v.32 no.3
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    • pp.294-298
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    • 1999
  • Myo-inositol monophosphate phosphatase is a key enzyme in the phosphoinositide cell-signaling system. Incubation of myo-inositol monophosphate phosphatase from porcine brain with N-bromosuccinimide (NBS) resulted in a time-dependent loss of enzyme activity. The inactivation followed pseudo-first-order kinetics with the second-order rate constant of $3.8{\times}10^3\;M^{-1}min^{-1}$. The time course of the reaction was significantly affected by the substrate myo-inositol-1-phosphate, which afforded complete protection against the loss of catalytic activity. Spectrophotometric studies indicated that about one oxindole group per molecule of enzyme was formed following complete loss of enzymatic activity. It is suggested that the catalytic function of myo-inositol monophosphate phosphatase is modulated by the binding of NBS to a specific tryptophan residue at or near the substrate binding site of the enzyme.

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Preparation of PVC-Al(OH)3 Beads Immobilized Al(OH)3 with PVC and their Adsorption Characteristics for Fluoride Ions from Aqueous Solution (Al(OH)3를 PVC로 고정화한 PVC-Al(OH)3 비드의 제조와 수중의 불소 이온의 흡착 특성)

  • You, Hae-Na;Kam, Sang-Kyu;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.23 no.5
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    • pp.887-893
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    • 2014
  • In order to remove fluoride ions from aqueous solution, PVC-$Al(OH)_3$ beads were prepared by immobilizing $Al(OH)_3$ with polyvinyl chloride (PVC). The prepared PVC-$Al(OH)_3$ bead was characterized by using SEM, EDS and Zeta potential. Dependences of pH, contact time and initial fluoride concentration on the adsorption of fluoride ions were studied. The optimal pH was in the range of 4~10. The adsorption was rapid during the initial 12 hr, and equilibrium was attained within 72 hr. The adsorption rate of fluoride ions by PVC-$Al(OH)_3$ beads obeyed the pseudo-second-order kinetic model. The maximum adsorption capacity obtained from Langmuir isotherm model was found to be 62.68 mg/g.

Phosphate Removal of Aqueous Solutions using Industrial Wastes (산업폐기물을 이용한 수용액 중 인산염의 흡착 제거)

  • Kang, Ku;Kim, Young-Kee;Park, Seong-Jik
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.1
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    • pp.49-57
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    • 2013
  • The present study was conducted to investigate phosphate removal from aqueous solution using industrial wastes, red mud (RM), acid treated red mud (ATRM) and converter furnace steel slag (CFSS). The chemical composition of adsorbents was analyzed using X-ray fluorescence (XRF). Batch experiments and elution experiments using water tank were performed to examine environmental factors that influences on phosphate removal. Kinetic sorption data of RM, ATRM, and CFSS were described well by the pseudo second-order kinetic sorption model, and equilibrium sorption data of all adsorbents obeyed Freundlich isotherm model. The adsorption capacities of adsorbents followed order: ATRM (7.06 mg/g)>RM (4.34 mg/g)>CFSS (1.88 mg/g). Increasing pH from 3 to 11, the amount of adsorbed phosphate on all RM, ATRM, and CFSS were decreased. The presence of sulfate and carbonate decreased the phosphate removal of RM and ATRM but did not influence on the performance of CFSS. The phosphate removal of RM, ATRM, and CFSS was greater in seawater than deionized water, resulting from the presence of cations in seawater. The water tank elution experiments showed that RM capping blocked the elution of phosphate effectively. It was concluded that the adsorbents can be successfully used for the removal of the phosphate from the aqueous solutions.

Nucleophile Effects for the Reactions of Nucleophilic Substitution by Pressure and Temperature (친핵성치환반응에서 압력과 온도변화에 따른 친핵체 효과)

  • Kim, Se-Kyong;Choi, Sung-Yong;Ko, Young-Shin
    • Journal of the Korean Chemical Society
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    • v.48 no.5
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    • pp.461-466
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    • 2004
  • Kinetics for the nucleophiles have been studied under high vacuum and high pressures in various temperatures. Pseudo-first order rate constants, second order rate constants, thermodynamic parameters and Hammett ${\rho}$-values are determined. The values of ${\Delta}V^{\neq},\;{\Delta}{\beta}^{\neq}\;and\;{\Delta}S^{\neq}$are all negative. The Hammett r-values are negative for the nucleophile (${\rho}$x) over the pressure range studied. The results of kinetic studies for pressure and nucleophilet show that these reactions proceed in typical $S_N2$ reaction mechanism and change of mechanism.

Adsorption Characteristics of Sr(II) and Cs(I) ions by Zeolite Synthesized from Coal Fly Ash (Coal Fly Ash로 합성한 제올라이트에 의한 Sr(II)과 Cs(I) 이온의 제거 특성)

  • Lee, Chang-Han;Park, Jeong-Min;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.23 no.12
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    • pp.1987-1998
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    • 2014
  • Zeolite was synthesized from power station waste, coal fly ash, as an alternative low-cost adsorbent and investigated for the removal of Sr(II) and Cs(I) ions from single- and binary metal aqueous solutions. In order to investigate the adsorption characteristics, the effects of various operating parameters such as initial concentration of metal ions, contact time, and pH of the solutions were studied in a batch adsorption technique. The Langmuir model better fitted the adsorption isotherm data than the Freundlich model. The pseudo second-order model was found more applicable to describe the kinetics of system. The adsorption capacities of Sr(II) and Cs(I) ions obtained from the Langmuir model were 1.7848 mmol/g and 0.7640 mmol/g, respectively. Although the adsorption capacities of individual Sr(II) and Cs(I) ions was less in the binary-system, the sum of the total adsorption capacity (2.3572 mmol/g) of both ions in the binary-system was higher than the adsorption capacity of individual ion in the single-system. Comparing the homogeneous film diffusion model with the homogeneous particle diffusion model, the adsorption was mainly controlled by the particle diffusion process.

과망간산을 이용한 지하수내 TCE 제거효과 평가

  • Yang Seung-Gwan;Go Seok-O
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2005.04a
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    • pp.53-56
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    • 2005
  • A Laboratory study was conducted to evaluate the kinetics of oxidation of trichloroethylene (TCE) in groundwater by potassium permanganate $(KMnO_4)$, Consumption of permanganate by TCE and aquifer materials was also evaluated to obtain an appropriate injection rate of $KMnO_4$. TCE degradation by $KMnO_4$ in the absence of aquifer material showed effective with pseudo-first order rate constant, $k_{obs}=1.8110^{-3}\;s^{-1}\;at\;KMnO_4=500mg/L$. TCE oxidation by $KMnO_4$ was found to be second order reaction and the rate constant, $k=0.65{\pm}0.08\;M^{-1}s^{-1}$, was independent of pH changes. $KMnO_4$ consumption rate by groundwater sampled from field site was not significant, indicating that groundwater containing negligible amount of dissolved organic matter does not have any influence on the $KMnO_4$ degradation. Meanwhile, aquifer materials from field site were actively reacted with permanganate, resulting in the significant consumption of $KMnO_4$. It might be attributed to the existence of metal oxides in aquifer materials, Based on the rate constants obtained from this study, appropriate injection rate of permanganate and TCE removal rate in groundwater could be estimated.

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