• 제목/요약/키워드: pseudo second order

검색결과 431건 처리시간 0.026초

Equilibrium modeling for adsorption of NO3- from aqueous solution on activated carbon produced from pomegranate peel

  • Rouabeh, I.;Amrani, M.
    • Advances in environmental research
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    • 제1권2호
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    • pp.143-151
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    • 2012
  • Nitrate removal from aqueous solution was investigated using $ZnCl_2$ and phosphoric acid activated carbon developed from pomegranate peel with particle size 0.4 mm. Potassium nitrate solution was used in batch adsorption experiments for nitrate removal from water. The effects of activated carbon dosage, time of contact, and pH were studied. The equilibrium time was fond to be 45 min. Two theoretical adsorption isotherms namely Langmuir and Freundlich were used to describe the experimental results. The Langmuir fit the isotherm with the theoretical adsorption capacity ($q_t$) was fond 78.125 mg g-1. Adsorption kinetics data were modeled using the pseudo-first, pseudo-second order, and intraparticle diffusion models. The results indicate that the second-order model best describes adsorption kinetic data. Results show activated carbon produced from pomegranate is effective for removal of nitrate from aqueous solution.

POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR THREE-POINT BOUNDARY VALUE PROBLEMS WITH DEPENDENCE ON THE FIRST ORDER DERIVATIVE

  • Guo, Yanping;Han, Xiaohu;Wei, Wenying
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1323-1329
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    • 2010
  • In this paper, a new fixed point theorem in cone is applied to obtain the existence of at least one positive pseudo-symmetric solution for the second order three-point boundary value problem {x" + f(t, x, x')=0, t $\in$ (0, 1), x(0)=0, x(1)=x($\eta$), where f is nonnegative continuous function; ${\eta}\;{\in}$ (0, 1) and f(t, u, v) = f(1+$\eta$-t, u, -v).

Biosorption of Lead $(Pb^{2+})$ from Aqueous Solution by Rhodotorula aurantiaca

  • Cho, Dae-Haeng;Yoo, Man-Hyong;Kim, Eui-Yong
    • Journal of Microbiology and Biotechnology
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    • 제14권2호
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    • pp.250-255
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    • 2004
  • The aim of this work was to investigate the adsorption isotherm and kinetic model for the biosorption of lead $(Pb^{2+})$ by Rhodotorula aurantiaca and to examine the environmental factors for this metal removal. Within five minutes of contact, $Pb^{2+}$ sorption reached nearly 86% of the total $Pb^{2+}$ sorption. The optimum initial pH value for removal of $Pb^{2+}$ was 5.0. The percentage sorption increased steeply with the biomass concentration up to 2 g/l and thereafter remained more or less constant. The Langmuir sorption model provided a good fit throughout the concentration range. The conformity of these data to the Langmuir model indicated that biosorption of $Pb^{2+}$ by R. aurantiaca could be characterized as a monolayer, single-site type phenomenon with no interaction between ions adsorbed in neighboring sites. The maximum $Pb^{2+}$ sorption capacity $(q_{max})$ and Langmuir constant (b) were 46.08 mg/g of biomass and 0.04 l/mg, respectively. The pseudo second-order equation was well fitted to the experimental data. The correlation coefficients for the linear plots of t/q against t for the second-order equation were 0.999 for all the initial concentrations of biosorbent for contact times of 180 min. The theoretical $q_{eq}$ value was very close to the experimental $q_{eq}$ value.

Novel Low-Power High-dB Range CMOS Pseudo-Exponential Cells

  • De La Cruz Blas, Carlos A.;Lopez-Martin, Antonio
    • ETRI Journal
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    • 제28권6호
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    • pp.732-738
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    • 2006
  • In this paper, novel CMOS pseudo-exponential circuits operating in a class-AB mode are presented. The pseudo-exponential approximation employed is based on second order equations. Such terms are derived in a straightforward way from the inherent nonlinear currents of class-AB transconductors. The cells are appropriate to be integrated in portable equipment due to their compactness and very low power consumption. Measurement results from a fabricated prototype in a 0.5 ${\mu}m$ technology reveal a range of 45 dB with errors lower than ${\pm}0.5$ dB, a power consumption of 100 ${\mu}W$, and an area of 0.01 $mm^2$.

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모사해수 조건에서 회분식 실험을 이용한 제강슬래그의 카드뮴 흡착 특성 평가 (Assessment of the Sorption Characteristics of Cadmium onto Steel-making Slag in Simulated Sea Water Using Batch Experiment)

  • 김은협;이성수;이광헌;김용우;박준범;오명학
    • 한국지반공학회논문집
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    • 제27권4호
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    • pp.43-50
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    • 2011
  • 본 연구에서는 국내 해안지역에 존재하는 카드뮴을 산업 폐기물인 제강슬래그를 이용하여 제거하고자, 제강슬래그의 카드뮴 제거 성능을 평가하였다. 이를 위해 회분식 실험으로 등온흡착 실험과 동적흡착 실험을 수행하였다. 등온 흡착 실험을 통해 제강슬래그의 카드뮴 제거는 Langmuir 모델이 Freundlich에 비해 잘 맞음을 확인하였고 최대 흡착량(${\beta}$)을 계산할 수 있었다. 동적흡착 실험결과의 경우, 유사이차 모델을 이용해 해석하였고 카드뮴의 초기농도가 높을수록 평형 흡착량 ($q_e$)은 증가하였고 반응상수 ($k_2$)와 초기반응속도 (h)는 줄어들었다. 모사해수 조건에서 $q_e$는 증류수 조건과 큰 차이가 없었지만 $k_2$와 h는 증류수에 비해 줄어들었다. 또한, 유사이차 모델을 통해 예측된 $q_e$이 등온흡착 실험에서 구한 평형 흡착량 ($C_s$)과 유사해 동적흡착 실험결과로 등온흡착 실험결과를 예측하는 것이 가능함을 확인하였으며 유사이차 모델을 이용해 목표 제거율에 도달하는 반응시간을 계산할 수 있었다.

Acid green-25 removal from wastewater by anion exchange membrane: Adsorption kinetic and thermodynamic studies

  • Khan, Muhammad Imran;Ansari, Tariq Mahmood;Zafar, Shagufta;Buzdar, Abdul Rehman;Khan, Muhammad Ali;Mumtaz, Fatima;Prapamonthon, Prasert;Akhtar, Mehwish
    • Membrane and Water Treatment
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    • 제9권2호
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    • pp.79-85
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    • 2018
  • In this work, batch adsorption of anionic dye acid green-25 (AG-25) from aqueous solution has been carried out at room temperature using anion exchange membrane (DF-120B) as a noval adsorbent. The effect of various experimental parameters such as contact time, membrane dosage, ionic strength and temperature on the adsorption of dye were investigated. Kinetic models namely pseudo-first-order, pseudo-second-order, Elovich, liquid film diffusion, Bangham and modified freundlich models were employed to evaluate the experimental data. Parameters like adsorption capacities, rate constant and related correlation coefficients for every model are calculated and discussed. It showed that adsorption of AG-25 onto DF-120B followed pseudo-first-order rate expression. Thermodynamic study indicates that adsorption of AG-25 onto DF-120B is an exothermic and spontaneous process.

Hydroxyapatite 첨가 활성탄을 이용한 Cd의 동역학적 흡착과 흡착평형에 관한 연구 (Kinetics and Equilibrium Adsorption Studies of Cd Adsorption by the Activated Carbon Containing Hydroxyapatite)

  • 안상우;최재영;박재우
    • 한국지반환경공학회 논문집
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    • 제11권1호
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    • pp.45-51
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    • 2010
  • 본 연구는 hydroxyapatite(HAP) 첨가 활성탄(HAP sorbent)의 카드뮴에 대한 흡착특성을 조사하였다. HAP 첨가량의 변화에 따른 카드뮴의 제거특성은 HAP 첨가량이 증가 할수록 카드뮴의 제거량은 흡착에 의한 영향으로 증가하는 것으로 나타났다. 이러한 결과는 HAP에 의한 이온교환능력의 증가에 의한 것으로 사료된다. 동역학적 흡착과 흡착평형에 관한 연구는 연속적인 회분식 실험을 통하여 조사하였다. 조사된 흡착평형 데이터는 Langmuir와 Freundlich isotherm mode을 사용하여 살펴보았으며, 초기 흡착질의 농도 변화에 따른 HAP 첨가 활성탄의 카드뮴의 흡착은 Freundlich isotherm model에 적합한 것으로 나타났다. Cd의 흡착반응의 동역학적 연구를 위하여 유사 1차 반응속도와 유사 2차 반응속도 모델을 사용하 Cd 흡착반응의 흡착 메커니즘을 조사하였다. 유사 2차 반응속도를 따르며, 유사 2차 반응속도 상수는 활성탄에 HAP의 첨가량이 증가할수록 증가하는 것을 확인할 수 있었다. 또한, intraparticle diffusion model을 사용하여 수용액상의 흡착질과 흡착매질과의 흡착 메커니즘을 조사하였다. 수용액상 카드뮴의 흡착 메커니즘은 흡착질과 흡착매질에서 표면흡착반응과 입자내 확산이 동시에 일어나는 것으로 확인되었다.

석탄계 입상 활성탄에 의한 Brilliant Blue FCF 염료의 흡착 동력학 및 열역학에 관한 연구 (Adsorption Kinetics and Thermodynamics of Brilliant Blue FCF Dye onto Coal Based Granular Activated Carbon)

  • 이종집
    • 공업화학
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    • 제26권2호
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    • pp.210-216
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    • 2015
  • 석탄계 입상 활성탄을 사용하여 수용액으로부터 brilliant blue FCF 염료의 흡착에 대해 조사하였다. 회분식 실험은 흡착제의 양, 초기농도와 접촉시간과 온도를 흡착변수로 사용하여 수행하였다. 흡착평형자료는 Langmuir, Freundlich 및 Temkin 식을 사용하여 해석한 결과 Freundlich 식이 가장 좋은 일치도를 나타냈다. 평가된 Freundlich 상수(1/n = 0.129~0.212)로부터 이 흡착공정이 적절한 처리방법이 될 수 있음을 알았다. 흡착속도실험자료를 유사일차 및 유사이차 반응속도식에 적용해 본 결과는 유사이차반응속도식에 잘 맞는 것으로 나타났다. 음수값의 Gibbs 자유에너지(-4.81~-10.33 kJ/mol)와 양수값의 엔탈피(+78.59 kJ/mol)는 흡착이 자발적이고 흡열공정으로 진행된다는 것을 나타냈다.

Removal of different anionic dyes from aqueous solution by anion exchange membrane

  • Khan, Muhammad Ali;Khan, Muhammad Imran;Zafar, Shagufta
    • Membrane and Water Treatment
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    • 제8권3호
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    • pp.259-277
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    • 2017
  • Adsorption is a widely used technique for the removal of dyes from wastewaters by variety of adsorbents. In this work, the main focus is on the potential assessment of anion exchange membrane for the removal of different dyes using batch system and investigation of experimental data by applying various kinetic and thermodynamic models. The removal of anionic dyes i.e., Eosin-B, Eriochrome Black-T and Congo Red by anion exchange membrane BII from aqueous solution was carried out and effect of various parameters such as contact time, membrane dosage, temperature and ionic strength on the percentage removal of anionic dyes was studied. The experimental data was assessed by kinetic models namely pseudo-first-order, pseudo-second-order, Elovich liquid film diffusion, Bangham and the modified Freundlich models equation have been used to analyze the experimental data. These results indicate that the adsorption of these anionic dyes on BII follows pseudo-second-order kinetics with maximum values of regression coefficient (0.992-0.998) for all the systems. The adsorption of dyes was more suitable to be controlled by a liquid film diffusion mechanism. The adsorptive removal of dye Eosin-B and Eriochrome Black-T were decreased with temperature and thermodynamic parameters such as free energy (${\Delta}G^o$), enthalpy (${\Delta}H^o$) and entropy (${\Delta}S^o$) for adsorption of dyes on membrane BII were calculated at 298 K, 308 K and 318 K. The values of enthalpy and entropy were negative for EB and EBT representing that the adsorption of these dyes on BII is physiosorptive and exothermic in nature. Whereas the positive values of enthalpy and entropy for CR adsorption on BII, indicating that its adsorption is endothermic and spontaneous in nature. It is evident from this study that anion exchange membrane has shown good potential for the removal of dyes from aqueous solution and it can be used as adsorbent for dues removal on commercial levels.

활성탄에 의한 아마란스 염료의 흡착동력학에 관한 연구 (Study on Adsorption Kinetic of Amaranth Dye on Activated Carbon)

  • 이종집
    • 청정기술
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    • 제17권2호
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    • pp.97-102
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    • 2011
  • 입상활성탄에 의한 아마란스 염료의 흡착특성을 회분식 실험을 통해 조사하였다. 아마란스 염료의 흡착동력학적 연구는 298, 308, 318 K에서 초기농도 100, 200, 300 mg/L의 수용액을 가지고 수행하였다. 입상활성탄에 의한 아마란스 염료의 흡착 평형관계는 298K에서 Langmuir 등온식이 잘 적용되었다. 유사일차반응속도식과 유사이차반응속도식을 사용하여 동력학 실험값을 평가한 결과, 유사이차반응속도식이 더 잘 맞았으며, 속도상수($k_2$) 값은 아마란스 초기농도 100, 200, 300 mg/L 에 대해 각각 0.1076, 0.0531 및 0.0309 g/$mg{\cdot}h$로 조사되었다. 활성화에너지, 표준엔탈피, 표준엔트로피 및 표준자유에너지를 평가하였다. 조사된 표준자유에너지값은 초기농도 200 mg/L 에서 -5.08 ~ -8.10 kJ/mol로 자발적인 공정임을 알 수 있었다. 엔탈피변화량이 양의 값인 38.89 kJ/mol을 나타내어 활성탄에 대한 아마란스 염료의 흡착이 흡열반응으로 일어난다는 것을 알 수 있었다.