• 상하수도학회지
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• 제34권3호
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• pp.201-210
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• 2020

2 (Langmuir, Freundlich, Elovich, Temkin, and Dubinin-Radushkevich) and 3 (Sips and Redlich-Peterson)-parameter isotherm models were applied to evaluated for the applicability of adsorption of Cu(II) and/or phosphate isotherm using chitosan bead. Non-linear and linear isotherm adsorption were also compared on each parameter with coefficient of determination (R²). Among 2-parameter isotherms, non-linear Langmuir and Freundlich isotherm showed relatively higher R² and appropriate maximum uptake (q_m) than other isotherm equation although linear Dubinin-Radushkevich obtained highest R². 3-parameter isotherm model demonstrated more reasonable and accuracy results than 2-parmeter isotherm in both non-linear and linear due to the addition of one parameter. The linearization for all of isotherm equation did not increase the applicability of adsorption models when error experiment data was included.

• Biotechnology and Bioprocess Engineering:BBE
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• 제11권1호
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• pp.61-66
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• 2006

The simple Langmuir isotherm is frequently employed to describe the equilibrium behavior of protein adsorption on a wide variety of adsorbents. The two adjustable parameters of the Langmuir isotherm - the saturation capacity, or $q_m$, and the dissociation constant, $K_d$ - are usually estimated by fitting the isotherm equation to the equilibrium data acquired from batch equilibration experiments. In this study, we have evaluated the possibility of estimating $q_m$ and $K_d$ for the adsorption of bovine serum albumin to a cation exchanger using batch kinetic data. A rate model predicated on the kinetic form of the Langmuir isotherm, with three adjustable parameters ($q_m,\;K_d$, and a rate constant), was fitted to a single kinetic profile. The value of $q_m$ determined as the result of this approach was quantitatively consistent with the $q_m$ value derived from the traditional batch equilibrium data. However, the $K_d$ value could not be retrieved from the kinetic profile, as the model fit proved insensitive to this parameter. Sensitivity analysis provided significant insight into the identifiability of the three model parameters.

• 청정기술
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• 제9권4호
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• pp.153-161
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• 2003

벤젠과 톨루엔을 활성탄에 흡착하는 공정을 개발하기 위한 기초 실험을 수행하였다. 정적흡착실험은 온도와 압력의 변화에 따른 벤젠과 톨루엔의 흡착특성을 연구하였다. 흡착제로는 활성탄 12~20mesh와 20~40mesh를 사용하였으며 흡착질로는 벤젠, 톨루엔, 질소를 사용하였다. 실험결과는 Langmuir isotherm으로 fittimg하였고, 온도의존성을 계산하였고, 흡착열과 흡착상수를 얻었다. 이성분 정적흡착실험에서는 Langmuir isotherm parameter들이 Extended Langmuir isotherm에 일반적으로 적용할 수 있는 지를 확인하였다. 이때 사용한 실험기법은 기존의 방법에서처럼 흡착 전후의 기상의 몰분율을 측정하여 실험하는 방법이 아닌 압력변화반을 측정하는 정용적법에 기초한 방법을 사용하였다. 동적흡착실험올 수행하여 실험결과를 전사모사로부터 얻어진 결과와 비교하였다. 본 연구에서는 공정에서 흡착조건을 결정할 수 있는 기본 데이터를 획득할 수 있었다.

• 청정기술
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• 제9권2호
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• pp.81-85
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• 2003

HPLC 칼럼을 사용하여 단일성분의 등온흡착 곡선을 구하는 실험을 수행하였으며, 파라미터를 계산하기 위하여 equilibrium-dispersive model을 Macsyma$^{(R)}$(Macsyma Inc., Arligton, MA, USA.)로 전산모사하여 파라미터들을 계산하였다. 전산모사와의 적합성을 검증하기 위하여 시료로 카페인을 사용해 샘플의 과량주입 실험을 통하여 실험치와 계산치를 비교하였으며, 시료의 농도와 이동상의 유속 변화에 따른 용출 피크들의 변화를 관찰하였다.

• Korean Chemical Engineering Research
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• 제46권1호
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• pp.175-183
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• 2008

흡착제 Li-X 제올라이트(UOP)에서 $CO_2$, CO, $CH_4$, $H_2$에 대한 단일성분 및 혼합성분의 흡착평형 실험을 정적부피법에 의해 수행하였다. 실험 데이터는 압력범위 0~20 bar와 온도범위 293.15 K, 303.15 K, 313.15 K에서 실시하였다. 각각 등온식의 파라미터들은 단일성분 실험을 통해 결정했고, 결정한 파라미터로 혼합성분의 흡착 평형을 예측하였으며 실험값과 비교하였다. Li-X 제올라이트에서의 $H_2/CO_2$, $H_2/CO$, $H_2/CH_4$ 혼합성분의 흡착평형 실험 결과는 extended langmuir-freundlich(L-F) 등온식, dual-site langmuir(DSL) 등온식을 이용해 예측하였으며 실험값과 비교하였다. L-F 등온식은 다른 모델들에 비해 $CH_4$와 $H_2$에서 좋은 예측 결과를 보여주었다. 또한 DSL 등온 식은 $CO_2$와 CO에서 좋은 예측 결과를 보여주었다.

• 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.

• 전기화학회지
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• 제16권4호
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• pp.211-216
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• 2013

At Pt(111), Pt(100), Pt, and Rh interfaces, the Frumkin adsorption isotherm of underpotentially deposited hydrogen (UPD H) and related electrode kinetic data are determined using the standard Gibbs energy of adsorption. The Temkin adsorption isotherm of UPD H correlating with the Frumkin adsorption isotherm of UPD H is readily determined using the correlation constants between the Temkin and Frumkin or Langmuir adsorption isotherms. At the Pt(111), Pt(100), Pt, and Rh interfaces, the lateral repulsive interaction between the UPD H species is interpreted using the interaction parameter for the Frumkin adsorption isotherm. The lateral repulsive interaction between the UPD H species at the Pt(111), Pt(100), Pt, and Rh interfaces is significantly different from the lateral attractive interaction between the overpotentially deposited hydrogen (OPD H) species at Pt, Ir, and Pt-Ir alloy interfaces.

• Advances in environmental research
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• 제4권3호
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• pp.197-210
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• 2015

Hexavalent chromium [Cr (VI)] adsorption on lateritic soil and lateritic soil blended with black cotton (BC) soil, marine clay and bentonite clay were studied in the laboratory using batch adsorption techniques. In the present investigation the natural laterite soil was blended with 10%, 20% and 30% BC soil, marine clay and bentonite clay separately. The interactions on test soils have been studied with respect to the linear, Freundlich and Langmuir isotherms. The linear isotherm parameter, Freundlich and Langmuir isotherm parameters were determined from the batch adsorption tests. The adsorption of Cr (VI) on natural laterite soil and blended laterite soil was determined using double beam spectrophotometer. The distribution coefficients obtained were 1.251, 1.359 and 2.622 L/kg for lateritic soil blended with 10%, 20% and 30% BC soil; 5.396, 12.973 and 48.641 L/kg for lateritic soil blended with marine clay and 5.093, 8.148 and 12.179 L/kg for lateritic soil blended with bentonite clay respectively. The experimental data fitted well to the Langmuir model as observed from the higher value of correlation coefficient. Soil pH and iron content in soil(s) has greater influence on Cr (VI) adsorption. From the study it is concluded that laterite soil can be blended with clayey soils for removing Cr (VI) by adsorption.

• Bulletin of the Korean Chemical Society
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• 제34권8호
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• pp.2358-2366
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• 2013

Iron oxide (ferrihydrite, hematite, and magnetite) coated silica gels were prepared using a low-cost, easily-scalable and straightforward method as the adsorbent material for arsenic removal application. Adsorption of the anionic form of arsenic oxyacids, arsenite ($AsO^{2-}$) and arsenate ($AsO{_4}^{3-}$), onto hematite coated silica gel was fitted against non-linear 3-parameter-model Sips isotherm and 2-parameter-model Langmuir and Freundlich isotherm. Adsorption kinetics of arsenic could be well described by pseudo-second-order kinetic model and value of adsorption energy derived from non-linear Dubinin-Radushkevich isotherm suggests chemical adsorption. Although arsenic adsorption process was not affected by the presence of sulfate, chloride, and nitrate anions, as expected, bicarbonate and silicate gave moderate negative effects while the presence of phosphate anions significantly inhibited adsorption process of both arsenite and arsenate. When the actual efficiency to remove arsenic was tested against 1 L of artificial arsenic-contaminated groundwater (0.6 mg/L) in the presence competing anions, the reasonable amount (20 g) of hematite coated silica gel could reduce arsenic concentration to below the WHO permissible safety limit of drinking water of $10{\mu}g/L$ without adjusting pH and temperature, which would be highly advantageous for practical field application.

• Carbon letters
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• 제22권
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• pp.14-24
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• 2017

Carboxylated multi-wall carbon nanotubes (MWCNTs-COOH) have been used as efficient adsorbents for the removal of picric acid from aqueous solutions under stirring and ultrasound conditions. Batch experiments were conducted to study the influence of the different parameters such as pH, amount of adsorbents, contact time and concentration of picric acid on the adsorption process. The kinetic data were fitted with pseudo-first order, pseudo-second-order, Elovich and intra-particle diffusion models. The kinetic studies were well described by the pseudo-second-order kinetic model for both methods. In addition, the adsorption isotherms of picric acid from aqueous solutions on the MWCNTs were investigated using six two-parameter models (Langmuir, Freundlich, Tempkin, Halsey, Harkins-Jura, Fowler-Guggenheim), four three-parameter models (Redlich-Peterson, Khan, Radke-Prausnitz, and Toth), two four-parameter equations (Fritz-Schlunder and Baudu) and one five-parameter equation (Fritz-Schlunder). Three error analysis methods, correlation coefficient, chi-square test and average relative errors, were applied to determine the best fit isotherm. The error analysis showed that the models with more than two parameters better described the picric acid sorption data compared to the two-parameter models. In particular, the Baudu equation provided the best model for the picric acid sorption data for both methods.