• 제목/요약/키워드: first order kinetic model

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활성탄을 이용한 Acid Yellow 14 흡착에 대한 평형, 동역학 및 열역학 파라미터의 연구 (Equilibrium, Kinetic and Thermodynamic Parameter Studies on Adsorption of Acid Yellow 14 Using Activated Carbon)

  • 이종집
    • Korean Chemical Engineering Research
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    • 제54권2호
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    • pp.255-261
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    • 2016
  • 활성탄을 사용한 Acid Yellow 14 염료의 흡착 실험은 흡착제의 양, pH, 초기농도, 접촉시간과 온도를 흡착변수로 사용하여 수행하였다. 흡착평형자료는 Langmuir, Freundlich 및 Temkin 등온식을 사용하여 해석하였는데, Freundlich 식이 가장 좋은 일치도를 나타냈다. 평가된 Freundlich 상수(1/n=0.129~0.212)와 Langmuir 분리계수($R_L=0.202{\sim}0.243$)로부터 활성탄에 의한 Acid Yellow 14의 흡착조작은 적절한 처리방법이 될 수 있음을 알았다. Temkin의 흡착열관련상수(B)는 5.101~9.164 J/mol로 평가되어, 흡착공정이 물리흡착임을 알았다. 흡착속도실험자료를 유사일차반응속도식과 유사이차반응속도식에 적용해 본 결과, 흡착동력학은 유사이차반응속도식에 잘 맞는 것으로 나타났다. Gibbs 자유에너지(-4.81~-10.33 kJ/mol)와 엔탈피(+78.59 kJ/mol)는 흡착이 자발적이고 흡열공정으로 진행된다는 것을 나타낸다.

퇴적물내 Black Carbon에 대한 Naphthalene과 Phenanthrene의 수착 및 탈착동력학 (Sorption and Desorption Kinetics of Naphthalene and Phenanthrene on Black Carbon in Sediment)

  • 오상화;;송동익;신원식
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제16권6호
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    • pp.79-94
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    • 2011
  • Black carbon (BC), a kind of high surface area carbonaceous material (HSACM), was isolated from Andong lake sediment. Sorption and desorption kinetics of naphthalene (Naph) and phenanthrene (Phen) in organic carbon (OC) and BC in the Andong lake sediment were investigated. Several kinetic models such as one-site mass transfer model (OSMTM), two-compartment first-order kinetic model (TCFOKM), and a newly proposed modified two-compartment first-order kinetic model (MTCFOKM) were used to describe the sorption and desorption kinetics. The MTCFOKM was the best fitting model. The MTCFOKM for sorption kinetics showed that i) the sorbed amounts of PAHs onto BC were higher than those onto OC, consistent with BET surface area; ii) the equilibration time for sorption onto BC was longer than those onto OC due to smaller size of micropore ($11.67{\AA}$) of BC than OC ($38.18{\AA}$); iii) initial sorption velocity of BC was higher than OC; and iv) the slow sorption velocity in BC caused the later equilibrium time than OC even though the fast sorption velocity was early completed in both BC and OC. The MTCFOKM also described the desorption of PAHs from the OC and BC well. After desorption, the remaining fractions of PAHs in BC were higher than those in OC due to stronger PAHs-BC binding. The remaining fractions increased with aging for both BC and OC.

Kinetic Analysis and Mathematical Modeling of Cr(VI) Removal in a Differential Reactor Packed with Ecklonia Biomass

  • Park, Dong-Hee;Yun, Yeoung-Sang;Lim, Seong-Rin;Park, Jong-Moon
    • Journal of Microbiology and Biotechnology
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    • 제16권11호
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    • pp.1720-1727
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    • 2006
  • To set up a kinetic model that can provide a theoretical basis for developing a new mathematical model of the Cr(VI) biosorption column using brown seaweed Ecklonia biomass, a differential reactor system was used in this study. Based on the fact that the removal process followed a redox reaction between Cr(VI) and the biomass, with no dispersion effect in the differential reactor, a new mathematical model was proposed to describe the removal of Cr(VI) from a liquid stream passing through the differential reactor. The reduction model of Cr(VI) by the differential reactor was zero order with respect to influent Cr(IlI) concentration, and first order with respect to both the biomass and influent Cr(VI) concentrations. The developed model described well the dynamics of Cr(VI) in the effluent. In conclusion, the developed model may be used for the design and performance prediction of the biosorption column process for Cr(VI) detoxification.

제주 스코리아로부터 합성한 제올라이트계 고정화 흡착제에 의한 Cu와 Cs 이온의 흡착 특성 (Characteristics of Cu and Cs Ions adsorbed on an immobilized Adsorbent including Zeolite Synthesized from Jeju Scoria)

  • 이창한;감상규;이민규
    • 한국환경과학회지
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    • 제28권1호
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    • pp.55-64
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    • 2019
  • The adsorption properties of $Cs^+$ and $Cu^{2+}$ ions were evaluated by using a polysulfone scoria zeolite (PSf-SZ) composite with synthetic zeolite synthesized from Jeju volcanic rocks (scoria). In order to investigate the adsorption properties, various parameters, such as pH, contact time, reaction rate, concentration, and temperature in aqueous solutions, were evaluated by tests carried out in batch experiments. The adsorption capacities of $Cs^+$ and $Cu^{2+}$ ions increased between pH 2 but achieved equilibrium at pH 4 and above. The adsorption rate increased rapidly up to the initial 24 h, after which it plateaued ; the adsorption rate then sustained at equilibrium from 48 h. The adsorption kinetics of $Cs^+$ and $Cu^{2+}$ ions were described better by the pseudo-second-order kinetic model than the pseudo-first-order kinetic model. The Langmuir model fitted the adsorption isotherm data better than the Freundlich model. The maximum adsorption capacities of $Cs^+$ and $Cu^{2+}$ ions obtained from the Langmuir model were 53.8 mg/g and 84.7 mg/g, respectively. The calculated thermodynamic parameters showed that the adsorption of $Cs^+$ and $Cu^{2+}$ ions on PSf-SZ was feasible, spontaneous and endothermic reaction.

Hevea brasiliensis - A Biosorbent for the Adsorption of Cu(II) from Aqueous Solutions

  • Sivarajasekar, N.
    • Carbon letters
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    • 제8권3호
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    • pp.199-206
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    • 2007
  • The activated carbon produced from rubber wood sawdust by chemical activation using phosphoric acid have been utilized as an adsorbent for the removal of Cu(II) from aqueous solution in the concentration range 5-40 mg/l. Adsorption experiments were carried out in a batch process and various experimental parameters such as effect of contact time, initial copper ion concentration, carbon dosage, and pH on percentage removal have been studied. Adsorption results obtained for activated carbon from rubber wood sawdust were compared with the results of commercial activated carbon (CAC). The adsorption on activated carbon samples increased with contact time and attained maximum value at 3 h for CAC and 4 h for PAC. The adsorption results show that the copper uptake increased with increasing pH, the optimum efficiency being attained at pH 6. The precipitation of copper hydroxide occurred when pH of the adsorbate solution was greater than 6. The equilibrium data were fitted using Langmuir and Freundlich adsorption isotherm equation. The kinetics of sorption of the copper ion has been analyzed by two kinetic models, namely, the pseudo first order and pseudo second order kinetic model. The adsorption constants and rate constants for the models have been determined. The process follows pseudo second order kinetics and the results indicated that the Langmuir model gave a better fit to the experimental data than the Freundlich model. It was concluded that activated carbon produced using phosphoric acid has higher adsorption capacity when compared to CAC.

대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석 (Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model)

  • 서호택;이득수;부정숙
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.579-584
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    • 2000
  • Algebraic Reynolds Stress (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the model's predictability. The applied numerical schemes are upwind scheme and skew-upwind scheme. The numerical results show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show slight deviations in second order (i.e., kinetic energy and turbulence intensity). By comparison with the previous results using $k-{\varepsilon}$ model, ARS model predicts better than the standard $k-{\varepsilon}$ model, however, predicts slightly worse than the $k-{\varepsilon}$ model including the streamline curvature modification. Additionally this study can reconfirm that skew-upwind scheme has approximately 25% improved predictability than upwind scheme.

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대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석 (Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model)

  • 서호택;부정숙
    • 대한기계학회논문집B
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    • 제24권12호
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    • pp.1615-1624
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    • 2000
  • Algebraic Reynolds Stree (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the predictability of model. The applied numerical schemes are the upwind scheme and the skew-upwind scheme. The numerical results show a good prediction in the first order calculations(i.e., reattachment length, mean velocity, pressure), however, slight deviations in the second order(i.e., kinetic energy and turbulence intensity). Comparing with the previous results using the k-$\varepsilon$ model, the ARS model predicts better than the standard k-$\varepsilon$ model, however, slightly worse than the k-$\varepsilon$ model including the streamline curvature modification. Additionallay this study can reconfirm that the skew-upwind scheme has approximately 25% improved predictability than the upwind scheme.

등온 및 동적 흡착 실험을 통한 제강 슬래그의 비소 흡착 특성 (Sorption Characteristics of Arsenic on Furnace Slag by Adsorption Isotherm and Kinetic Sorption Experiments)

  • 오참뜻;이성수;;권호진;이원택;박준범
    • 한국지반공학회논문집
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    • 제26권9호
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    • pp.37-45
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    • 2010
  • 본 연구에서는 지하수에 존재하는 비소를 산업 폐기물인 제강 슬래그를 이용하여 제거하고자, 제강 슬래그에 대한 비소의 흡착특성을 규명하였다. 이를 위해 등온흡착 실험과 동적흡착 실험을 수행하였고, 흡착반응 후 용액의 화학적 특성을 분석하였다. 실험 결과, 흡착 실험을 수행한 모든 용액은 염기 상태로 존재하였으며(pH 9이상), 칼슘의 농도가 가장 높았다(30~50mg/L). 등온흡착 실험결과는 Langmuir 모델보다Freundlich 모델에 적용하는 젓이 더 합리적이였으며, 제강 슬래그에 As(V)가 As(III)보다 약 87% 더 많이 흡착되는 것으로 확인됐다. 동적흡착 실험결과의 경우, 유사일차모델보다 유사이차모델을 통해 해석하는 것이 더 적합하였다. 비소의 초기농도가 높을수록 평형 흡착량($q_e$)과 완화시간($t_r$) 이 모두 증가하였으며, As(V)는 As(III)보다 평형 흡착량이 많고 완화시간은 짧은 것을 확인할 수 있었다. 또한, 유사이차모델을 통해 예측된 평형 흡착량이 등온흡착 실험에서 구한 평형 흡착량과 유사해 동적흡착 실험결과로 등온흡착 실험결과를 예측하는 것이 가능함을 확인하였다.

Comparative Study on Adsorptive Characteristics of Diazinon in Water by Various Adsorbents

  • Ryoo, Keon Sang;Jung, Sun Young;Sim, Hun;Choi, Jong-Ha
    • Bulletin of the Korean Chemical Society
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    • 제34권9호
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    • pp.2753-2759
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    • 2013
  • The aim of the present study is to explore the possibility of utilizing fly ash and loess, as alternative to activated carbon, for the adsorption of diazinon in water. Batch adsorption experiment was performed to evaluate the influences of various factors like initial concentration, contact time and temperature on the adsorption of diazinon. The adsorption data shows that fly ash is not effective for the adsorption of diazinon. The equilibrium data for both activated carbon and loess were fitted well to the Freundlich isotherm model. The pseudo-second-order kinetic model appeared to be the better-fitting model because it has higher $R^2$ compared to the pseudo-first-order kinetic model. The thermodynamic parameters such as free energy (${\Delta}G$), the enthalpy (${\Delta}H$) and the entropy (${\Delta}S$) were calculated. Contrary to loess, the ${\Delta}G$ values of activated carbon were negative at the studied temperatures. It indicates that the adsorption of diazinon by activated carbon is a favorable and spontaneous process. The positive ${\Delta}H$ values of activated carbon and loess suggest that the diazinon adsorption process is endothermic in nature. In addition, the positive ${\Delta}S$ values show that increased randomness occurs at the solid/solution surface during the adsorption of diazinon.

Coconut husk as a biosorbent for methylene blue removal and its kinetics study

  • Dave, Shailesh R.;Dave, Vaishali A.;Tipre, Devayani R.
    • Advances in environmental research
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    • 제1권3호
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    • pp.223-236
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    • 2012
  • Biosorption of methylene blue (MB) from aqueous solution was studied with respect to the point of zero charge of coconut husk, dye concentration, particle size, pH, temperature, as well as adsorbent and NaCl concentration using coconut husk biomass. Amongst Langmuir and Freundlich adsorption isotherms studied, Langmuir adsorption isotherm showed better agreement. Pseudo second order kinetics model was found to be more suitable for data presentation as compared to pseudo first order kinetics model. Also, involvement of diffusion process was studied using intraparticle diffusion, external mass transfer and Boyd kinetic model. Involvement of intraparticle diffusion model was found to be more relevant (prominent) as compared to external mass transfer (in) for methylene blue biosorption by the coconut husk. Moreover, thermodynamic properties of MB biosorption by coconut husk were studied. Desorption of methylene blue from biomass was studied with different desorbing agents, and the highest desorption achieved was as low as 7.18% with acetone, which indicate stable immobilization. Under the experimental conditions MB sorption was not significantly affected by pH, temperature and adsorbent concentration but low sorption was observed at higher NaCl concentrations.