• 제목/요약/키워드: kinetic equation

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Rate and Product Studies on the Solvolyses of Allyl Chloroformate

  • Koh, Han Joong;Kang, Suk Jin
    • Bulletin of the Korean Chemical Society
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    • 제33권12호
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    • pp.4117-4121
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    • 2012
  • The solvolysis rate constants of allyl chloroformate ($CH_2=CHCH_2OCOCl$, 3) in 30 different solvents are well correlated with the extended Grunwald-Winstein equation, using the $N_T$ solvent nucleophilicity scale and $Y_{Cl}$ solvent ionizing scale, with the sensitivity values of $0.93{\pm}0.05$ and $0.41{\pm}0.02$ for l and m, respectively. These l and m values can be considered to support a $S_N2$ reaction pathway. The activation enthalpies (${\Delta}H^{\neq}$) were 12.5 to 13.4 $kcal{\cdot}mol^{-1}$ and the activation entropies (${\Delta}S^{\neq}$) were -34.4 to -37.3 $cal{\cdot}mol^{-1}{\cdot}K^{-1}$, which is also consistent with the proposed bimolecular reaction mechanism. The solvent kinetic isotope effect (SKIE, $k_{MeOH}/k_{MeOD}$) of 2.16 was also in accord with the $S_N2$ mechanism. The values of product selectivity (S) for the solvolyses of 3 in alcohol/water mixtures was 1.3 to 3.9, which is also consistent with the proposed bimolecular reaction mechanism.

2相 Linear Stepping Motor의 진동특성에 관한 연구 (A Study on the Vibration Characteristics of 2-phase Linear Stepping Motor)

  • 오홍석;김동희;이상호;정도영;김춘삼
    • 전력전자학회논문지
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    • 제4권6호
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    • pp.554-560
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    • 1999
  • 리니어 스텝핑 모터(Linear Stepping Motor : 이하 LSM이라 칭함)는 운동 변환기구 없이 입력신호에 따라 선형적인 변위를 발생시키는 다이렉트 드라이브(Direct Drive)방식의 전동기이다. 따라서 LSM은 자동반송장치, 의료기기, OA,FA 응용 등에 다양하게 사용되고 있다. 그러나 LSM은 구동시 구조적으로 큰 진동이 발생됨으로서 추력이 급격히 떨어질 때가 있으며, 최악의 경우에는 역전이나 탈조현상이 발생하고, 또한 소음의 원인이 되기 때문에 응용에 있어서 많은 제약을 받고 있는 실정이다. 여기에 대응하기 위해, 본 논문에서는 권선 인덕턴스에 저장된 에너지와 LSM의 유도전압을 이용한 새로운 1상 여자방식에 의한 진동억제 방법을 보여주며, 또한 LSM의 구조를 기초로 자기등가회로를 구성하였으며, 또한 자기등가회로에 대한 방정식을 이용하여 LSM의 전기적인 등기회로를 유도하였다. 그리고, LSM의 새로운 1상 여자방식에 의한 진동특성을 전압방정식과 추력방정식 및 운동방정식을 사용하여 ACSL에 의하여 시뮬레이션 하였으며, 레이저 실측 시스템에 의한 실측결과와 비교·검토하였다.

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제주 화산석으로 합성한 제올라이트 물질을 이용한 용액 중의 Co 이온 제거 (Removal of Cobalt Ion in Aqueous Solution Using Zeolitic Materials Synthesized from Jeju Volcanic Rocks)

  • 조은님;이창한;김문일
    • 한국환경과학회지
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    • 제30권9호
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    • pp.719-726
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    • 2021
  • In this study, zeolitic materials were synthesized from Jeju Volcanic Rocks (JVR) using a fusion/hydrothermal method at NaOH/JVR ratios of 0.6 and 1.2. The crystallinities of the zeolitic materials at NaOH/JVR ratios of 0.6 and 1.2 were 25.5% and 59.0%, respectively. It was confirmed through the SEM image that the zeolitic materials covered the zeolite particle with a cube-shaped crystals. The Co ions adsorption by the zeolitic materials were to reach the adsorption equilibrium at 120 min. It could be better simulated in the pseudo-second order adsorption kinetic equation than in the pseudo-first order adsorption kinetic equation. The adsorption capacities (qm) of Co ions could be to estimate Langmuir isotherm better than Freundlich isotherm. The maximum adsorption capacities (qm) at NaOH/JVR ratios of 0.6 and 1.2 were 55.3 mg/g and 68.7 mg/g, respectively. It was found that there was a high correlation between the crystallinity of zeolitic materials and the adsorption capacity of Co ions adsorption.

Kinetic Behavior of Escherichia coli on Various Cheeses under Constant and Dynamic Temperature

  • Kim, K.;Lee, H.;Gwak, E.;Yoon, Y.
    • Asian-Australasian Journal of Animal Sciences
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    • 제27권7호
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    • pp.1013-1018
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    • 2014
  • In this study, we developed kinetic models to predict the growth of pathogenic Escherichia coli on cheeses during storage at constant and changing temperatures. A five-strain mixture of pathogenic E. coli was inoculated onto natural cheeses (Brie and Camembert) and processed cheeses (sliced Mozzarella and sliced Cheddar) at 3 to 4 log CFU/g. The inoculated cheeses were stored at 4, 10, 15, 25, and $30^{\circ}C$ for 1 to 320 h, with a different storage time being used for each temperature. Total bacteria and E. coli cells were enumerated on tryptic soy agar and MacConkey sorbitol agar, respectively. E. coli growth data were fitted to the Baranyi model to calculate the maximum specific growth rate (${\mu}_{max}$; log CFU/g/h), lag phase duration (LPD; h), lower asymptote (log CFU/g), and upper asymptote (log CFU/g). The kinetic parameters were then analyzed as a function of storage temperature, using the square root model, polynomial equation, and linear equation. A dynamic model was also developed for varying temperature. The model performance was evaluated against observed data, and the root mean square error (RMSE) was calculated. At $4^{\circ}C$, E. coli cell growth was not observed on any cheese. However, E. coli growth was observed at $10{\circ}C$ to $30^{\circ}C$C with a ${\mu}_{max}$ of 0.01 to 1.03 log CFU/g/h, depending on the cheese. The ${\mu}_{max}$ values increased as temperature increased, while LPD values decreased, and ${\mu}_{max}$ and LPD values were different among the four types of cheese. The developed models showed adequate performance (RMSE = 0.176-0.337), indicating that these models should be useful for describing the growth kinetics of E. coli on various cheeses.

탄소/산화철 나노복합재료의 Brilliant Green 흡착에 대한 반응속도론적, 열역학적 연구 (Kinetic and Thermodynamic Studies of Brilliant Green Adsorption onto Carbon/Iron Oxide Nanocomposite)

  • Ahmad, Rais;Kumar, Rajeev
    • 대한화학회지
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    • 제54권1호
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    • pp.125-130
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    • 2010
  • 본 연구에서는 수용액 중에서 유해한 brilliant green (BG) 제거를 위한 탄소와 산화철 나노복합재료의 흡착특성을 살펴보았다. 탄소와 산화철 나노복합재료는 화학침전법과 $750^{\circ}C$에서 질산 철과 탄소를 열처리 함으로서 합성하였다. 그 생성물은 TEM, XRD, 그리고 TGA를 이용하여 확인하였다. 나노복합재료에 대한 BG의 흡착 연구는 열역학적 인자와 반응속도론적인자들을 이용하여 수행하였다. 흡착 속도식은 준 이차 속도식이 준 일차 속도식에 비해 잘 들어맞는다고 보여준다. 실험 결과는 Langmuir 과 Freundlich 흡착 등온선을 이용하여 분석하였다. 평형 데이터는 Langmuir모델에 잘 들어맞으며 최대 단일 층 흡착 용량 64.1 mg/g 을 갖는다. 열역학적 인자들은 나노복합재료에 BG의 흡착 으로부터 유도하며 흡착은 자발적이며 흡열 과정임을 확인하였다.

다양한 온도에서 석탄/바이오매스의 혼합 촤-CO2 가스화 반응특성 연구 (Kinetic Study of Coal/Biomass Blended Char-CO2 Gasification Reaction at Various temperature)

  • 김정수;김상겸;조종훈;이시훈;이영우
    • Korean Chemical Engineering Research
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    • 제53권6호
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    • pp.746-754
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    • 2015
  • 본 연구는 이온교환법을 통해 Ni촉매를 담지한 저등급 석탄(인도네시아 Eco탄)과 바이오매스(대한민국 상록수)의 혼합물로부터 제조된 촤(char)를 $700{\sim}900^{\circ}C$ 등온조건에서 온도가 반응속도에 미치는 영향에 대해 알아보았다. $Char-CO_2$ 가스화 반응은 700, 750, 800, 850, $900^{\circ}C$의 온도에서 진행하였으며, 기-고체 반응의 가스화 거동특성을 알아보기 위하여 각각 다른 가정을 갖고 있는 shrinking core model(SCM), volumetric reaction model(VRM), random pore model(RPM), modified volumetric reaction model(MVRM)을 실험결과에 적용하여 비교하였다. Arrhenius equation를 이용하여 Ni-coal/biomass와 Non-catalyst coal/biomass의 활성화에너지를 구하였고 이를 비교하였다.

정수 슬러지를 재활용한 펠렛형 흡착제 상에서 염기성 악취 물질의 흡착속도상수 (Adsorption Kinetic Constants for Basic Odorant on Pellet-type Adsorbents Recycled from Water-treatment Sludge)

  • 김고운;박나영;배정현;전종기;이철호
    • 공업화학
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    • 제25권2호
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    • pp.167-173
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    • 2014
  • 정수 슬러지를 재활용하여 제조한 펠렛형 흡착제의 트리메틸아민과 암모니아의 흡착 특성을 연구하였다. 펠렛형 흡착제를 $110^{\circ}C$에서 건조 처리 했을 때보다 $500^{\circ}C$에서 소성했을 때 BET 표면적과 기공 부피가 증가하는 것을 알 수 있었다. 정수 슬러지를 재활용하여 제조한 펠렛형 흡착제는 브뢴스테드 산점과 루이스 산점을 보유하는 것을 확인하였다. 흡착질 가스인 트리메틸아민과 암모니아가 일정한 농도로 흡착제 층으로 유입되고, 흡착제의 중량과 흡착질의 선속도를 변화시키면서 흡착질 가스의 파과시간을 측정하였다. Wheeler의 흡착속도식을 사용하여 트리메틸아민과 암모니아의 동적흡착용량과 흡착속도상수를 결정하였다. 동적흡착용량과 흡착속도상수가 흡착질 가스의 선속도에 따라 변화함을 알 수 있었다. 정수 슬러지를 재활용하여 제조한 펠렛형 흡착제 상에서, 다양한 흡착조건에서 트리메틸아민과 암모니아의 파과시간을 예측하기 위한 실험식을 도출하였다.

Kinetic Studies of the Solvolyses of 4-Nitrophenyl Phenyl Thiophosphorochloridate

  • Koh, Han-Joong;Kang, Suk-Jin
    • Bulletin of the Korean Chemical Society
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    • 제30권10호
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    • pp.2413-2418
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    • 2009
  • Rates of solvolyses of 4-nitrophenyl phenyl thiophosphorochloridate (4-N$O_2$PhOP(S)(Cl)OPh, $\underline{1}$) in ethanol, methanol, and aqueous binary mixtures incorporating ethanol, methanol, acetone, and 2,2,2-trifluroethanol (TFE) are reported. Thermodynamic parameters were determined at several temperatures in three representative solvents. The extended Grunwald-Winstein equation was applied to 29 solvents and the correlation coefficient (R) showed 0.959. The sensitivities (l = 1.37 and m = 0.62) are similar to those obtained for diphenyl thiophosphorochloridate (($PhO)_2$PSCl, $\underline{2}$), diphenyl phosphorochloridate (($PhO)_2$POCl, $\underline{3}$), diphenyl phosphinic chloride ($Ph_2$POCl, $\underline{4}$), and diphenyl thiophosphinic chloride ($Ph_2$PSCl, $\underline{5}$). The solvolytic reaction mechanism of 4-nitrophenyl phenyl thiophosphorochloridate ($\underline{1}$) is suggested to be proceeded a $S_N$2 process as previously reported result. The activation enthalpies are shown as slightly low as ${\Delta}H^{\neq}\;=\;9.62\;to\;11.9\;kcal{\cdot}mol^{-1}$ and the activation entropies are shown as slightly high negative value as ${\Delta}S^{\neq}\;=\;-34.1\;to\;-44.9\;cal{\cdot}mol^{-1}{\cdot}K^{-1}$ compared to the expected $S_N$2 reaction mechanism. Kinetic solvent isotope effects are accord with a typical $S_N$2 mechanism as shown in the range of 2.41 in MeOH/ MeOD and 2.57 in $H_2O/D_2O$ solvent mixtures.

야자계 활성탄에 의한 Brilliant Blue FCF 염료의 흡착 동력학 및 열역학에 관한 연구 (Adsorption Kinetics and Thermodynamics of Brilliant Blue FCF Dye onto Coconut Shell Based Activated Carbon)

  • 이종집
    • Korean Chemical Engineering Research
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    • 제53권3호
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    • pp.309-314
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    • 2015
  • 야자계 활성탄을 사용하여 수용액으로부터 brilliant blue FCF 염료의 흡착에 대해 조사하였다. 회분식 실험은 흡착제의 양, 초기농도와 접촉시간과 온도를 흡착변수로 사용하여 수행하였다. 흡착평형자료는 Langmuir와 Freundlich 식을 사용하여 해석하였으며, Freundlich 식이 더 좋은 일치도를 나타냈다. 평가된 Freundlich 상수(1/n=0.129~0.212)로부터 활성탄에 의한 brilliant blue FCF의 흡착조작이 적절한 처리방법이 될 수 있음을 알았다. 흡착속도실험자료를 유사일차반응속도식과 유사이차반응속도식에 적용해 본 결과, 흡착동력학은 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 나타낸다.

단일 3축 가속도센서를 사용한 보행 시 대사에너지 예측 (Prediction of Energy Expenditure by Using a Tri-axial Accelerometer)

  • 이희영;김승현;이동엽;박선우;김영호
    • 한국운동역학회지
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    • 제21권2호
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    • pp.253-258
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    • 2011
  • The purpose of this study was to compare metabolic energy expenditure with the computed kinetic energy for different speeds of walking and running over the treadmill and to find the relevance for individual and group equation by performing a statistical analysis, Bland-Altman plot. Seven male subjects participated, and they were required to walk and run on the treadmill with the gas analyzer and triaxial accelerometer. Walking speeds were 3.0, 4.0, 5.0 and 6.0 km/h and running speeds were 7.0, 8.0 and 9.0 km/h respectively. Kinetic energy was calculated by the integration of acceleration data and compared with the metabolic energy measured by a gas analyzer. Correlation coefficients showed relatively good between the measured metabolic energy and the calculated kinetic energy. In addition, a dramatic increase in kinetic energy was also observed at the transition speed of walking and running, and two standard deviations in Bland-Altman plot, derived from the difference between measured and predicted values, were 1.14, 2.53, 2.93, 1.80, 2.80, 0.60 and 2.48 respectively. It was showed that there is no difference for methods of how to predict the kinetic energy expenditure for individual and group even though people had each different physical characteristic.