• Title/Summary/Keyword: First Order Kinetic

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폐기물로부터 메탄발생량 예측을 위한 Sigmoidal 식과 1차 반응식의 통계학적 평가 (Statistical Evaluation of Sigmoidal and First-Order Kinetic Equations for Simulating Methane Production from Solid Wastes)

  • 이남훈;박진규;정새롬;강정희;김경
    • 유기물자원화
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    • 제21권2호
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    • pp.88-96
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    • 2013
  • 본 연구의 목적은 고형폐기물의 메탄발생 특성을 나타내기 위한 1차 반응식과 S형태 식들의 적합성을 평가하는 것이다. S형태 식은 수정 Gompertz와 Logistic 식을 사용하였다. 모델의 적합성을 평가하기 위해 잔차제곱합, 표준제곱근 오차, Akaike's information criterion 등의 통계분석을 실시하였다. AIC (Akaike's information criterion)는 모델의 변수 개수 차이에 따른 모델 적합성을 비교하기 위하여 적용하였다. 1차 반응식의 경우 지체기를 고려하지 않을 때보다 고려하였을 경우 잔차제곱합과 표준제곱근 오차는 감소하는 것으로 나타났다. 그러나 1차 반응식의 경우 S형태 식보다 AIC가 상대적으로 높게 나타났다. 이는 S형태 식이 1차 반응식보다 메탄발생특성을 나타낼 때에 더욱 적합한 것으로 사료된다.

이산화염소수 처리에 의한 주요 식중독균의 불활성화에 관한 두 kinetic models의 비교 (Evaluation of Two Kinetic Models on the Inactivation of Major Foodborne Pathogens by Aqueous Chlorine Dioxide Treatment)

  • 이지혜;송현정;송경빈
    • 한국식품저장유통학회지
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    • 제18권3호
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    • pp.423-428
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    • 2011
  • 주요 식중독균인 E. coli O157:H7, L monocytogenes, S. aureus, S. Typhimurium과 S. Enteritidis를 주어진 이산화염소수 농도에서 시간별로 처리한 inactivation data를 first-order kinetic model과 Weibull model을 이용하여 kinetic parameter를 비교, 분석하였다. 그 결과 Weibull model이 first-order kinetic model보다 inactivation kinetic data에 더 적합한 것을 보였다. 또한 특정 농도의 이산화염소수에서 처리한 survival plot의 tR values(특정 이산화염소수 농도에서 미생물 90%를 감소시키기 위해 필요한 시간)는 Weibull model을 적용 시, E. coli O157:H7가 5 ppm에서 2.49 min, L. monocytogenes가 5 ppm에서 1.47 min, S. aureus가 5 ppm에서 0.94 min, S. Typhimurium이 1 ppm에서 0.87 min 그리고 S. Enteritidis가 1 ppm에서 0.08 min으로 측정 되었다.

Palm Oil Mill Effluent 처리 시 Anaerobic Hybrid Reactor의 기질 제거 Kinetics 비교 (A Comparison of Substrate Removal Kinetics of Anaerobic Reactor systems treating Palm Oil Mill Effluent)

  • 오대양;신창하;김태훈;박주양
    • 상하수도학회지
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    • 제25권6호
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    • pp.971-979
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    • 2011
  • Palm Oil Mill Effluent (POME) is the mixed organic wastewater generated from palm oil industry. In this study, kinetic analysis with treating POME in an anaerobic hybrid reactor (AHR) was performed. Therefore, the AHR was monitored for its performances with respect to the changes of COD concentrations and hydraulic retention time (HRT). Batch tests were performed to find out the substrate removal kinetics by granular sludge from POME. Modified Stover Kincannon, First-order, Monod, Grau second-order kinetic models were used to analyze the performance of reactor. The results from the batch test indicate that the substrate removal kinetics of granular sludge is corresponds to follow Monod's theory. However, Grau second-order model were the most appropriate models for the continuous test in the AHR. The second order kinetic constant, saturation value constant, maximum substrate removal rate, and first-order kinetic constant were 2.60/day, 41.905 g/L-day, 39.683 g/L-day, and 1.25/day respectively. And the most appropriate model was Grau second-order kinetic model comparing the model prediction values and measured COD concentrations of effluent, whereas modified Stover-Kincannon model showed the lowest correlation.

Kinetic models에 의한 딸기 중 농약의 생물학적 반감기 비교와 생산단계잔류허용기준 설정 (Field tolerance of pesticides in the strawberry and comparison of biological half-lives estimated from kinetic models)

  • 박동식;성기용;최규일;허장현
    • 농약과학회지
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    • 제9권3호
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    • pp.231-236
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    • 2005
  • 본 연구는 생산단계의 딸기에 4가지 살균제(tolclofos-m, folpet, procymidone, triflumizole)를 수확 10일전 안전사용 기준량으로 처리한 후 잔류량을 파악하였고, 이것을 근거로 6 가지 kinetic models(first order, zero order, second order, power function model, elovich model, parabolic model)에 따른 반감기를 비교하였다. 최적의 모델로 판명된 first order kinetic model로부터 구한 반감기를 이용하여 생산단계잔류허용기준(field tolerance)을 설정, 제시하였다. 잔류분석법의 적합성 판단을 위한 회수율 실험에서는 $85.1{\sim}105.0%$ 범위를 보였으며, 4 가지 약제 모두 약제 처리 5일 후 평균 73% 이상 소실되었다. 잔류량과 시간과의 상관관계는 first order kinetic model에서 가장 높은 결정계수값을 보였으며, 이를 이용하여 산출한 반감기로 생산단계 잔류허용기준(안)을 설정하였다. 이와 같은 결과는 최적의 kinetic model로 반감기를 산출해야 한다는 이론적 근거를 제시하는 것이며, 수확 후 또는 유통 중의 잔류허용기준뿐만 아니라 생산단계에서도 허용기준을 마련하여 부적합 품목을 사전에 차단할 수 있는 기준설정의 예로서 안전 농산물 공급과 농가소득에 크게 기여할 수 있는 기초자료가 될 것이라 사료된다.

자연토양 및 카올린에 대한 코발트, 스트론튬, 세슘의 흡착 특성 (Adsorption Characteristics of Cobalt, Strontium, and Cesium on Natural Soil and Kaolin)

  • 천경호;최정학;신원식;최상준
    • 한국환경과학회지
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    • 제23권9호
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    • pp.1609-1618
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    • 2014
  • In this study, as a fundamental study for the remediation of the radionuclides-contaminated soil, the adsorption of cobalt, strontium, and cesium on natural soil and kaolin were experimently investigated and adsorption characteristics were evaluated by using several adsorption kinetic and isotherm models. The pseudo-first-order kinetic model (PFOM), pseudo-second-order kinetic model (PSOM), one-site mass transfer model (OSMTM), and two compartment first-order kinetic model (TCFOKM) were used to evaluate the kinetic data and the pseudo-second-order kinetic model was the best with good correlation. The adsorption equilibria of cobalt, strontium, and cesium on natural soil were fitted successfully by Redlich-Peterson and Sips models. For kaolin, the adsorption equilibria of cobalt, strontium, and cesium were fitted well by Redlich-Peterson, Freundlich, and Sips models, respectively. The amount of adsorbed radionuclides on natural soil and kaolin was in the order of cesium > strontium > cobalt. It is considered that these results could be useful to predicting the adsorption behaviors of radionuclides such as cobalt, strontium, and cesium in soil environments.

Adsorption Characteristics and Kinetic Models of Ammonium Nitrogen using Biochar from Rice Hull in Sandy Loam Soil

  • Choi, Yong-Su;Kim, Sung-Chul;Shin, Joung-Du
    • 한국토양비료학회지
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    • 제48권5호
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    • pp.413-420
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    • 2015
  • Objective of this study was to investigate adsorption characteristics and kinetic models of $NH_4-N$ to biochar produced from rice hull in respective to mitigation of greenhouse gases. $NH_4-N$ concentration was analyzed by UV Spectrophotometer. For the experiment, the soil texture used in this study was sandy loam soil, and application rates of chemical fertilizer and pig compost were $420-200-370kgha^{-1}$ (N-P-K) and $5,500kgha^{-1}$ as recommended amount after soil test for corn cultivation. Biochar treatments were 0.2-5% to soil weight. Its adsorption characteristic was investigated with application of Langmuir isotherm, and pseudo-first order kinetic model and pseudo-second order kinetic model were used as kinetic models. Adsorption amount and removal rates of $NH_4-N$ were $39.3mg^{-1}$ and 28.0% in 0.2% biochar treatment, respectively. The sorption of $NH_4-N$ to biochar was fitted well by Langmiur model because it was observed that dimensionless constant ($R_L$) was 0.48. The maximum adsorption amount ($q_m$) and binding strength constant (b) were calculated as $4.1mgg^{-1}$ and $0.01Lmg^{-1}$ in Langmuir isotherm, respectively. The pseudo-second order kinetic model was more appropriate than pseudo-first order kinetic model for high correlation coefficient ($r^2$) of pseudo-second order kinetic model. Therefore, biochar produced from rice hull could reduce $N_2O$ by adsorbing $NH_4-N$ to biochar cooperated in sandy loam soil.

다양한 방해석 표면에 대한 Mn과 Co 흡착 기작 (The Removal Kinetics of Mn and Co from the Contaminated Solutions by Various Calcium Carbonate Surfaces)

  • H., Yoon;Ko, K.S.;Kim, S.J.
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 2004년도 임시총회 및 추계학술발표회
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    • pp.219-222
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    • 2004
  • Removal characteristics of Mn and Co was studied from the contaminated solutions via surface reaction with various calcium carbonate (calcite). Synthetic calcium carbonates which has different surface morphology as well as surface areas were prepared by a spontaneous precipitation method and used. Mn and Co removal behavior by the different solid surface demonstrate characteristic sorption behaviors depend on the type of calcite used, such as surface area or surface morphology. Calcium carbonate crystals (mostly calcite) which exhibit complicated surface morphology (c-type) shows strong sorption affinity for Mn and Co removal via sorption than on the a-type or b-type calcite crystals of less complicated surfaces. The applicability of two kinetic models, the pseudo-first-order kinetic equation and the Elovich kinetic model was examined on these sorption behavior. Elovich kinetic model was found more suitable to explain the very early stage adsorption kinetics, while the pseudo-first-order kinetic equation was successfully fitted for the adsorption kinetics after 50 hours.

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Kinetic Study on Bromine-Exchange Reaction of Antimony Tribromide with t-Butyl Bromide in Nitrobenzene and in 1, 2, 4-Trichlorobenzene$^*$

  • Choi, Sang-Up;Pae, Young-Il
    • Bulletin of the Korean Chemical Society
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    • 제3권4호
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    • pp.144-148
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    • 1982
  • The kinetic study on the bromine-exchange reaction of antimony tribromide with t-butyl bromide in nitrobenzene or 1,2,4-trichlorobenzene has been carried out, using Br-82 labelled antimony tribromide. The results show that the exchange reaction is first order with respect to t-butyl bromide and 1.5th order with respect to antimony tribromide. It is assumed that the 1.5th order indicates the coexistance of first- and second-order kinetics. Reaction mechanisms for the exchange reaction are proposed.

염료감응 태양전지용 루테늄 금속착체 염료의 이산화티타늄 전극에 대한 동적 흡착 연구 (Adsorption Kinetic Study of Ruthenium Complex Dyes onto TiO2 Anodes for Dye-sensitized Solar Cells (DSSCs))

  • 안병관
    • 한국전기전자재료학회논문지
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    • 제24권11호
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    • pp.929-934
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    • 2011
  • The adsorption kinetic study of ruthenium complex, N3, onto nanoporous titanium dioxide ($TiO_2$) photoanodes has been carried out by measuring dye uptake in-situ. Three simplified kinetic models including a pseudo first-order equation, pseudo second-order equation and intraparticle diffusion equation were chosen to follow the adsorption process. Kinetic parameters, rate constant, equilibrium adsorption capacities and related coefficient coefficients for each kinetic model were calculated and discussed. It was shown that the adsorption kinetics of N3 dye molecules onto porous $TiO_2$ obeys pseudo second-order kinetics with chemisorption being the rate determining step. Additionally the heterogeneous surface and the pore size distribution of porous $TiO_2$ adsorbents were also discussed.

Kinetic and Equilibrium Study of Lead (II) Removal by Functionalized Multiwalled Carbon Nanotubes with Isatin Derivative from Aqueous Solutions

  • Tahermansouri, Hasan;Beheshti, Marzieh
    • Bulletin of the Korean Chemical Society
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    • 제34권11호
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    • pp.3391-3398
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    • 2013
  • The carboxylated multiwall carbon nanotubes (MWCNT-COOH) and functionalized with isatin derivative (MWCNT-isatin) have been used as efficient adsorbents for the removal of lead (Pb) from aqueous solutions. The influence of variables including pH, concentration of the lead, amount of adsorbents and contact time was investigated by the batch method. The adsorption of the lead ions from aqueous solution by modified MWCNTs was studied kinetically using different kinetic models. The kinetic data were fitted with pseudo-first-order, pseudo-second-order, and intra-particle diffusion models. The sorption process with MWCNT-COOH and MWCNT-isatin was well described by pseudo-second-order and pseudo-first-order kinetics, respectively which it was agreed well with the experimental data. Also, it involved the particle-diffusion mechanism. The values of regression coefficient of various adsorption isotherm models like Langmuir, Freundlich and Tempkin to obtain the characteristic parameters of each model have been carried out. The Langmuir isotherm was found to best represent the measured sorption data for both adsorbent.