• 제목/요약/키워드: First Order Kinetic

검색결과 464건 처리시간 0.034초

흡착제의 흡착특성 규명을 위한 흡착모델의 적용성 평가(II)-흡착속도론을 중심으로 (Applicability of Theoretical Adsorption Models for Studies on Adsorption Properties of Adsorbents(II))

  • 나춘기;박현주
    • 대한환경공학회지
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    • 제33권11호
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    • pp.804-811
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    • 2011
  • 본 연구는 흡착제의 흡착특성을 이해하는데 이용되는 각종 흡착모델의 적용성을 평가하는데 목적이 있다. 이를 위해 상용의 음이온교환수지(PA-308)를 이용하여 질산성질소에 대한 흡착특성을 회분식 실험을 통해 조사하였다. 음이온교환수지에 의한 질산성질소의 속도실험 결과는 초기의 빠른 흡착과정과 후기의 느린 흡착 과정의 두 가지 단계의 과정으로 이원화되는 경향을 나타내었다. 1차 속도식과 2차 속도식 모두 전체 반응시간에서의 질산성질소에 대한 음이온교환수지의 흡착속도를 수식화 할 수 없었다. 초기의 빠른 흡착반응($t\leq$ 20분)은 1차 속도식에 따르고 외부확산에 의해 거의 지배되는 거동을 보이는 반면, 후기 느린 흡착반응(t > 20분)은 2차 속도 화학반응과 내부확산, 즉 세공 내 확산에 의해서 일어남을 알 수 있었다.

대학생의 자아분화와 동적 가족화 반응 특성 연구 (Study on the self-differentiation of the university students and Kinetic Femily Drawing Respondent Characteristics)

  • 이정숙;김윤희
    • 한국생활과학회지
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    • 제9권4호
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    • pp.429-445
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    • 2000
  • This study was analyzed for the relationship between the self-differentiation of the university students and Kinetic Family Drawings that was responded their mental aspect. Results of this study were following. First, the level of self-differentiation by sex, age, region and grade was significantly different. Second, Kinetic Family Drawings respondent characteristics by their sex, age, region, grade and sibling order was significantly different. Third, in the relationship between the self-differentiation of the university students and Kinetic Family Braving respondent characteristics, when the group had less conflict and more interaction among family members, they could separate their subjective and objective tension and they could attach to their parents. In the case that crisis was occurred in their family, they had less possibility to represent dysfunctional communication style or regressive behaviors.

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키토산비드를 이용한 양이온/음이온의 흡착모델 적용 (Applicability of adsorption kinetic model for cation/anion for chitosan hydrogel bead)

  • 안병렬
    • 상하수도학회지
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    • 제33권3호
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    • pp.205-213
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    • 2019
  • Batch adsorption tests were performed to evaluate the applicability of adsorption kinetic model by using hydrogel chitosan bead crosslinked with glutaraldehyde (HCB-G) for Cu(II) as cation and/or phosphate as anion. Pseudo first and second order model were applied to determine the sorption kinetic property and intraparticle and Boyd equation were used to predict the diffusion of Cu(II) and phosphate at pore and boundary-layer, respectively. According to the value of theoretical and experimental uptake of Cu(II) and phosphate, pseudo second order is more suitable. On comparison with the value of adsorption rate constant (k), phosphate kinetic was 2-4 times faster than that of Cu(II) at any experimental condition indicating the electrostatic interaction between ${NH_3}^+$ and phosphate is dominated at the presence of single component. However, when Cu(II) and phosphate simultaneously exist, the value of k for phosphate was sharply decreased and then the difference was not significant. Both diffusion models confirmed that the sorption rate was controlled by film mass transfer at the beginning time (t < 3 hr) and pore diffusion at next time section (t > 6 hr).

Kinetic and multi-parameter isotherm studies of picric acid removal from aqueous solutions by carboxylated multi-walled carbon nanotubes in the presence and absence of ultrasound

  • Gholitabar, Soheila;Tahermansouri, Hasan
    • 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.

Utilization of Cotton Stalks-Biomass Waste in the Production of Carbon Adsorbents by KOH Activation for Removal of Dye-Contaminated Water

  • Fathy, Nady A.;Girgis, Badie S.;Khalil, Lila B.;Farah, Joseph Y.
    • Carbon letters
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    • 제11권3호
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    • pp.224-234
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    • 2010
  • Four activated carbons were produced by two-stage process as followings; semi-carbonization of indigenous biomass waste, i.e. cotton stalks, followed by chemical activation with KOH under various activation temperatures and chemical ratios of KOH to semi-carbonized cotton stalks (CCS). The surface area, total pore volume and average pore diameter were evaluated by $N_2$-adsorption at 77 K. The surface morphology and oxygen functional groups were determined by SEM and FTIR, respectively. Batch equilibrium and kinetic studies were carried out by using a basic dye, methylene blue as a probe molecule to evaluate the adsorption capacity and mechanism over the produced carbons. The obtained activated carbon (CCS-1K800) exhibited highly microporous structure with high surface area of 950 $m^2/g$, total pore volume of 0.423 $cm^3/g$ and average pore diameter of 17.8 ${\AA}$. The isotherm data fitted well to the Langmuir isotherm with monolayer adsorption capacity of 222 mg/g for CCS-1K800. The kinetic data obtained at different concentrations were analyzed using a pseudo-first-order, pseudo-second-order and intraparticle diffusion equations. The pseudo-second-order model fitted better for kinetic removal of MB dye. The results indicate that such laboratory carbons could be employed as low cost alternative to commercial carbons in wastewater treatment.

금속(金屬)-Ligand 착염형성(錯鹽形成)에 의한 중금속(重金屬) 제거(除去) 방법(方法)에 관한 연구(硏究);시간(時間)의 영향(影響) (Application of Principle in Metal-Ligand Complexation to Remove Heavy Metals;Time Effects)

  • 양재의;신용건;김정제
    • 한국환경농학회지
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    • 제12권1호
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    • pp.51-57
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    • 1993
  • 본 연구(硏究)에서는 부숙(腐熟)된 퇴비(堆肥)로부터 추출(抽出)한 부식산(腐植酸) 및 훌브산용액(酸溶液)과 중금속(重金屬) 용액(溶液)을 반응(反應)시켜 복합체(複合體)를 형성(形成), 침전(沈澱)시키고, 침전물(沈澱物)을 여과법(濾過法)에 의해 분리하여 중금속(重金屬)의 제거효율(除去效率)을 측정하였으며, 이때 시간(時間)이 침전형성(沈澱形成)에 미치는 영향(影響)을 kinetics model을 도입하여 조사하였다. 중금속(重金屬) (Cu 또는 Pb)과 유기(有機)리간드[(Humic acid: HA) 또는 (Fulvic acid: FA)] 사이의 침전형성(沈澱形成) 반응(反應)은 single first- 또는 Multiple first order kinetics를 따랐는데, 이는 중금속(重金屬)의 농도(濃度)와 리간드의 종류(種類)에 크게 의존(依存)하였다. 따라서 중금속(重金屬)-유기(有機)리간드 침전반응(沈澱反應)은 중금속(重金屬)의 반응농도(反應濃度)에 의존하고, 반응시간(反應時間)에 정비예(正比例)하여 침전형성율(沈澱形成率)이 증가(增加)한 후 침전형성율(沈澱形成率)의 변화가 거의 없는 의사(擬似) 평형상태(平衡狀態)에 도달하였다. Cu와 유기(有機)리간드의 침전형성 반응은, 리간드의 종류에 관계없이, Cu의 농도가 $300{\mu}M$ 보다 낮을때는 single first order kinetics를, 농도가 $300{\mu}M$ 보다 높을때는 Multiple first-order Kinetics를 따랐다. Cu의 농도가 증가될수록 반응상수(反應常數)(${\kappa}$)는 유의성(有意性)있게 증가되어 침전형성(沈澱形成) 속도(速度)가 빨랐다. 침전형성(沈澱形成)이 Multiple first order kinetics일 경우, 반응단계가 진행될수록 ${\kappa}$ 값이 작아졌고, 대부분의 침전형성은 1단계인 15분 이내에서 일어났으며, 시간이 경과할수록 서서히 진행되어 평형(平衡)에 도달하였다. Cu의 농도가 같을때 1단계반응에서의 훌브산(酸)의 ${\kappa}$ 는 부식산(腐植酸)의 ${\kappa}$ 보다 커서 훌브산이 부식산보다 Cu를 더 빨리 침전시켰다. Pb의 농도가 증가할수록 Pb-HA의 침전형성반응에서는 ${\kappa}$ 값이 작아졌으나, 반면에 Pb-FA의 반응에서는 ${\kappa}$ 값이 증가되었다. Pb-유기(有機)리간드의 침전형성(沈澱形成)은 30분 이내(1단계)에 이뤄졌으며, 이후의 ${\kappa}$ 값은 매우 작아 반응시간(反應時間)에 크게 영향을 받지 않았다. 유기(有機)리간드가 부식산(腐植酸)이고, 중금속(重金屬)의 농도(濃度)가 $200{\sim}300{\mu}M$ 일때 Pb의 ${\kappa}$값은 Cu의 ${\kappa}$ 값보다 커서 Pb이 Cu보다 빨리 침전되었으나, 중금속(重金屬)의 농도(濃度)가 $400{\sim}500{\mu}M$ 일때는 Cu의 ${\kappa}$ 값은 Pb의 ${\kappa}$ 값보다 컸다.

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Formation Kinetic Study of Thermal Products of Tocopherols

  • Chung, Hae-Young
    • Preventive Nutrition and Food Science
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    • 제12권3호
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    • pp.131-134
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    • 2007
  • The kinetic analyses for thermal products of alpha-, gamma- and delta-tocopherols during heating as functions of temperature and time were studied. Alpha-, gamma- and delta-tocopherols dissolved in glycerol were heated at $100{\sim}200^{\circ}C$ for $5{\sim}60$ min. The thermal products were separated by hexane extraction and analyzed by HPLC using a reversed phase ${\mu}-Bondapak$ $C_{18}-column$ with two kinds of elution solvents in a gradient mode. The formation kinetics of thermal products of tocopherols followed a first-order kinetic model. The formation rate of thermal products of tocopherols was dependent on heating temperatures and heating times. The activation energy and enthalpy for the thermal products of ${\gamma}-and$ ${\delta}-tocopherols$ were higher than those for ${\alpha}-tocopherol$ as in the case of the oxidative degradation kinetics of tocopherol. The magnitude order of the activation energy was ${\gamma}->{\delta}->{\alpha}-tocopherol$.

태양광과 UV-A 빛 하에서 ZnO 을 이용한 Reactive Black 5의 광분해작용 (Photomineralisation of Reactive Black 5 with ZnO using Solar and UV-A Light)

  • Amisha, S.;Selvam, K.;Sobana, N.;Swaminathan, M.
    • 대한화학회지
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    • 제52권1호
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    • pp.66-72
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    • 2008
  • 태양광과 UV-A빛 조건하에 수용액 속에서 디아조염료의 광 촉매분해반응에 대해 조사를 해보았다. 염료의 광 촉매 분해반응에는 염료의 농도, 촉매 량, 그리고 pH와 같은 여러 가지 영향 요소들이 존재한다. 과산화수소, ammonium persulphate와 isopropanol 등의 첨가는 분해비율에 대해 큰 영향을 미친다. Langmuir-Hinshelwood model에 근거한 광 분해반응의 동역학적분석은 광분해반응은 대략적으로 pseudo first order kinetics을 따름을 알 수 있다. 광분해산물로 이산화탄소, 질산염, sulphate 이온 등이 증명되었다. 광 촉매, ZnO는 태양광 하에서보다 UV-A빛 하에서 더욱 효율적임을 발견하였다.

Kinetic Study of the Anaerobic Digestion of Swine Manure at Mesophilic Temperature: A Lab Scale Batch Operation

  • Kafle, Gopi Krishna;Kim, Sang-Hun
    • Journal of Biosystems Engineering
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    • 제37권4호
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    • pp.233-244
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    • 2012
  • Purpose: The kinetic evaluation was performed for swine manure (SM) degradation and biogas generation. Methods: The SM was anaerobically digested using batch digesters at feed to inoculum ratio (F/I) of 1.0 under mesophilic conditions ($36.5^{\circ}C$). The specific gas yield was expressed in terms of gram total chemical oxygen demand (mL/g TCOD added) and gram volatile solids added (mL/g VS added) and their effectiveness was discussed. The biogas and methane production were predicted using first order kinetic model and the modified Gompertz model. The critical hydraulic retention time for biomass washout was determined using Chen and Hashimoto model. Results: The biogas and methane yield from SM was 346 and 274 mL/ TCOD added, respectively after 100 days of digestion. The average methane content in the biogas produced from SM was 79% and $H_2S$ concentration was in the range of 3000-4108 ppm. It took around 32-47 days for 80-90% of biogas recovery and the TCOD removal from SM was calculated to be 85%. When the specific biogas and methane yield from SM (with very high TVFA concentration) was expressed in terms of oven dried volatile solids (VS) basis, the gas yield was found to be over estimated. The difference in the measured and predicted gas yield was in the range of 1.2-1.5% when using first order kinetic model and 0.1% when using modified Gompertz model. The effective time for biogas production ($T_{Ef}$) from SM was calculated to be in the range of 30-45 days and the critical hydraulic retention time ($HRT_{Critical}$) for biomass wash out was found to be 9.5 days. Conclusions: The modified Gompertz model could be better in predicting biogas and methane production from SM. The HRT greater than 10 days is recommended for continuous digesters using SM as feedstock.

퇴적물에서의 납과 카드뮴의 흡착 동력학 모델링 (Modeling on the Sorption Kinetics of Lead and Cadmium onto Natural Sediments)

  • 곽문용;고석오;박재우;정연구;신원식
    • 생태와환경
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    • 제39권4호통권118호
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    • pp.450-461
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    • 2006
  • 본 연구에서는 pH 5.5에서 연안퇴적물내 납과 카드뮴의 흡착 동력학을 실험실규모의 회분식 반응기를 이용하여 조사하였다. 4종류의 모델: 단일영역 물질전달모델 (one-site mass transfer model, OSMTM), 겉보기 1차속도모델 (pseudo-first-order kinetic model, PFOKM), 겉보기 2차속도모델 (pseudo-second-order kinetic model, PSOKM)과 두영역 1차속도모델 (two compartment first-order kinetic model, TCFOKM)을 사용하여 흡착속도를 분석하였다. 관련된 모델매개변수의 수에서 기대되듯이 변수가 3개인 TCFOKM이 변수가 2개인 OSMTM, PFOKM, PSOKM 보다 흡착속도를 더 잘 표현할 수 있었다. 납과 카드뮴의 대부분의 흡착은 초기 3시간 이내에 빠르게 완료되었으며, 이후 기간 동안은 느린 흡착이 이루어졌다. 모든 모델에서 겉보기 흡착평형농도($q_{e,s}$)는 퇴적물의 양이온 교환능 (CEC)과 표면적이 증가함에 따라 증가하는 것으로 예측되었으며, 이는 초기 중금속 투여 농도와 중금속 및 퇴적물의 형태와 무관하였다. OSMTM에서의 흡착속도 상수 ($k_s,\;hr^{-1}$)는 퇴적물의 CEC와 표면적이 증가함에 따라 증가하였다. PFOKM의 겉보기 1차흡착속도상수 ($k_{p1,s},\;hr^{-1}$)는 퇴적물의 특성과 관련이 없었다. PSOM 분석결과 겉보기 2차흡착속도상수 ($k_{p2,s},\;g\;mmol^{-1}\;hr^{-1}$)와 초기흡착속도 ($v_{o,s},\;mg\;g^{-1}\;hr^{-1}$)는 퇴적물의 특성과 연관되지 않았다. TCFOKM의 빠른 흡착영역의 분율($f_{1,s}$)은 수용액상의 초기농도와는 무관하게 퇴적물의 CEC와 표면적이 증가함에 따라 증가하였다. 빠른 부분에서의 흡착속도 상수 ($k_{1,s}=10^{0.1}-10^{1.0}\;hr^{-1}$)는 느린 부분에서의 흡착속도 상수 ($k_{2,s}=10^{-2}-10^{-4}\;hr^{-1}$)보다 훨씬 더 큰 것으로 나타났다.