• Advances in environmental research
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• 제3권2호
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• pp.131-149
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• 2014

Two different model selection indices, the Akaike information criterion (AIC) and the coefficient of determination ($R^2$), are used to discriminate competing isotherm equations for aqueous pollutant removal systems. The former takes into account model accuracy and complexity while the latter considers model accuracy only. The five types of isotherm shape in the Brunauer-Deming-Deming-Teller (BDDT) classification are considered. Sorption equilibrium data taken from the literature were correlated using isotherm equations with fitting parameters ranging from two to five. For the isotherm shapes of types I (favorable) and III (unfavorable), the AIC favors two-parameter equations which can easily track these simple isotherm shapes with high accuracy. The $R^2$ indicator by contrast recommends isotherm equations with more than two parameters which can provide marginally better fits than two-parameter equations. To correlate the more intricate shapes of types II (multilayer), IV (two-plateau) and V (S-shaped) isotherms, both indices favor isotherm equations with more than two parameters.

• 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.

• 청정기술
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• 제15권4호
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• pp.265-272
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• 2009

본 연구에서는 하수슬러지에서 만든 활성탄을 이용하여 벤젠에 대한 정지(static)흡착실험을 수행하였다. 7.999 kPa에 이르는 압력 범위 내에서 온도 조건을 변화시켜 가며 303.15, 318.15, 333.15 K에서 흡착실험을 진행하였다. 등온흡착곡선은 Langmuir isotherm, Freundlich isotherm, Toth isotherm을 적용하여 비교하였다. 벤젠의 흡착량(q)을 fitting한 결과 Langmuir isotherm과 Toth isotherm으로 fitting한 등온흡착 곡선의 정확도가 높은 것으로 나타났다. 그리고 Langmuir isotherm의 $q_{max}$ 값을 이용하여 흡착제의 흡착량을 비교하였다. 또한, 하수슬러지 활성탄과 상용활성탄의 세공 발달 여부를 비교하기 위해 SEM image를 관찰하였다. SEM image 관찰 결과, 국내외 상용활성탄(DARCO A.C., SPG-100 A.C.)이 하수슬러지 활성탄에 비해 세공발달 정도가 우수하며, 세공발달 정도가 우수한 국내외 상용활성탄(DARCO A.C., SPG-100 A.C.)이 하수슬러지 활성탄에 비해 벤젠흡착량(q)이 높은 것을 확인할 수 있었다. 그러나 실온조건인 303.15K에서 하수슬러지의 최대 벤젠흡착량($q_{max}$)은 국내 상용활성탄(SPG-100 A.C.)의 최대 벤젠흡착량($q_{max}$)과 대등한 수치로 나타났으므로 하수슬러지 활성탄의 상용화 가능성을 검증할 수 있었다.

• Environmental Engineering Research
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• 제22권1호
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• pp.95-107
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• 2017

Adsorption equilibrium and kinetic behavior of two toxic heavy metals hexavalent chromium [Cr(VI)] and mercury [Hg(II)] on mustard oil cake (MOC) was studied. Isotherm of total chromium was of concave type (S1 type) suggesting cooperative adsorption. Total chromium adsorption followed BET isotherm model. Isotherm of Hg(II) was of L3 type with monolayer followed by multilayer formation due to blockage of pores of MOC at lower concentration of Hg(II). Combined BET-Langmuir and BET-Freundlich models were appropriate to predict Hg(II) adsorption data on MOC. Boyd's model confirmed that external mass transfer was rate limiting step for both total chromium and Hg(II) adsorptions with average diffusivity of $1.09{\times}10^{-16}$ and $0.97m^2/sec$, respectively. Desorption was more than 60% with Hg(II), but poor with chromium. The optimum pH for adsorptions of total chromium and Hg(II) were 2-3 and 5, respectively. At strong acidic pH, Cr(VI) was adsorbed by ion exchange mechanism and after adsorption reduced to Cr(III) and remained on MOC surface. Hg(II) removal was achieved by complexation of $HgCl_2$ with deprotonated amine ($-NH_2$) and carboxyl (COO-) groups of MOC.

• Biotechnology and Bioprocess Engineering:BBE
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• 제11권2호
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• pp.110-115
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• 2006

We conducted a sensitivity analysis of the simulated moving bed (SMB) chromatography with the case model of the separation of two amino acids phenylalanine and tryptophan. We consider a four-zone SMB chromatography where the triangle theory is used to determine the operating conditions. Competitive Langmuir isotherm model was used to determine the adsorption isotherm. The finite difference method is used to solve nonlinear partial differential equation (PDE) systems numerically. We examined the effects of alterations in the operating conditions(feed-extract, feed-raffinate, eluent-extract, eluent-raffinate, recycle, and switching time) and the adsorption isotherm parameters (Langmuir isotherm parameters a and b) on SMB efficiency. The variation range of operating conditions and Langmuir isotherm a was between -50 and 50% of original value and the variation range of the Langmuir isotherm b was between $2.25^{-5}$ and $2.25^5$ times of original value.

• Korean Chemical Engineering Research
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• 제44권5호
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• pp.460-467
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• 2006

Zeolite 5A 촉매에서 $H_2$, CO, $CO_2$에 대한 단성분 및 혼합성분의 흡착평형 실험을 정적부피법에 의해 수행하였다. 실험 데이타는 온도범위 293.15 K, 303.15 K, 313.15 K이고, 압력범위는 25 atm까지로 하여 얻었다. 각각의 파라미터들은 단성분 실험을 통해 얻었고, 이를 통해 혼합성분의 흡착 평형을 예측하였으며 실험값과 비교하였다. Zeolite 5A 에서의 $H_2/CO_2$, $CO/CO_2$ 혼합가스의 흡착평형 실험 결과는 Langmuir isotherm, Langmuir-Freundlich isotherm and Dual-Site Langmuir isotherm을 이용해 예측하였다. 그 결과 Dual-Site Langmuir isotherm모델이 가장 유사한 예측을 하는 것으로 나타났다.

• 한국수산과학회지
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• 제30권6호
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• pp.936-943
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• 1997

Biosorbents of nonliving, dried marine brown algae Undaria pinnatifida, Hizikia fusiformis, and Sargassum fulvellum were investigated for their lead biosorption performances. As the amount of biosorbent added was increased, the lead removal by biosorbent materials increased but the lead biosorption capacities decreased. However the lead biosorption capacity by the biosorbent materials increased with increasing initial lead concentration and pH in the range of $C_o\;10\~500\;mg/L$. Among the biosorbent materials used in this study, the lead biosorption capacity in the solutions with no pH adjustment decreased in the following sequence: U. pinnatifida > H. fusiformis > S. fulvellum. Equilibrium parameters based on Langmuir and Freundlich isotherm were determined. It was found that the lead biosorption by biosorbent materials were expressed by the Langmuir isotherm better than the Freundlich isotherm.

• 자원리싸이클링
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• 제15권3호
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• pp.81-86
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• 2006

수중에서 일어나는 흡착반응에 대해 고전적 Langmuir 등온흡착식에서 고려되고 있지 않은 흡착제 표면에서의 흡착질과 물분자간의 치환과정을 고려한 수정된 Langmuir 등온흡착식을 제시하였다. 활성탄 표면에 대한 $Cd^{2+}$의 흡착을 대상으로 도출된 수정 등온흡착식을 적용한 결과, 흡착특성의 검토 및 반응양상의 해석에 있어 고전적 Langmuir 등온흡착식에 비해 그 적용성이 향상되는 것으로 파악되었다. 이에 의거하여 Langmuir 모델을 따르는 흡착계에 있어 제시된 수정 등온흡착식을 적용할 경우, 공정의 설계 및 운영과정에서 보다 정밀하고 향상된 결과를 얻을 수 있을 것으로 사료되었다.

• 공업화학
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• 제16권1호
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• pp.131-138
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• 2005

활성탄과 제올라이트 13X에 대한 벤젠의 정적흡착실험으로부터 Freundlich isotherm과 Toth isotherm을 구하였으며 똑같은 흡착제로 충진된 흡착탑을 이용하여 벤젠의 파과곡선을 측정하였다. 파과시간과 벤젠 분압의 관계를 해석하여 Freundlich isotherm의 파라미터를 결정하였다. 파과실험 결과의 해석으로부터 예측되는 벤젠의 흡착량이 정적 실험 결과로부터 예측되는 것과 비교적 잘 일치하였다. 활성탄에 대한 동적 실험 결과에서 좀 더 대칭형태에 가까운 파과곡선이 얻어져서 제올라이트 13X에 비해 더 적은 오차가 나타났다.

• 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.