• Title/Summary/Keyword: Rate Determining Step

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Hydrothermal Kinetics and Mechanisms of Lime and Quartz Used Solid State Reaction Equations (고상반응식을 이용한 석회-석영의 수열반응속도와 반응메카니즘)

  • Lim, Going
    • The Journal of Engineering Research
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    • v.3 no.1
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    • pp.223-233
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    • 1998
  • The kinetic and mechanism of the hydrothermal reaction between lime and quartz used solid state reaction equations have been investigated. Hydrothermal reaction on the starting materials was carried out in an autoclave that quartz mixed with calcium hydroxide in CaO/$SiO_2$ ratio of 0.8-1.0 for 0.5-8 hour at saturated steam pressure of $180-200^{\circ}C$. The rate of reaction was given from the ratio of uncombined lime and quartz content to the total lime and quartz content. The rate of reaction was obtained the results by the Jander's equation $[1-(1-\alpha)^{1/3}]^N=Kt$. The reaction of lime is controlled mainly by the dissolution such as N=1, and the reaction of quartz is controlled mostly by the diffusion such as $N\risingdotseq2$. The rate of hydrothermal reaction in the calcium silicate hydrates system is suggested to be determined generally by the mass transfer through the product laver formed around the reactant particles. The rate equation for whole hydrothermal reaction is shown that it is converted into the rate determining step by the diffusion from the boundary reaction such as approximately $N=1-2$.

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Studies on the Semicarbazone Formation of Aliphatic and Alicyclic Ketones. (Aliphatic Ketone과 Alicyclic Ketone의 Semicarbazone 생성반응에 관한 연구)

  • Lim, Nag-Bin;Oh, Yang-Hwan;Kim, Yong-In
    • Journal of the Korean Applied Science and Technology
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    • v.8 no.1
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    • pp.59-67
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    • 1991
  • The reactions of semicarbazide hydrochloride with aliphatic and alicyclic ketones were studied kinetically at 15, 25, 35 and 45$^{\circ}C$ in 20% ethanol solution buffered at pH 2.9. The rate of cyclohexanone semicarbazone formation is 5.5 times as fast as that of cyclopentanone semicarbazone, while 3-pentanone semicarbazone is 4.7 times as slow as that of 2-pentanone, The activation energy of cyclohexanone, 2-pentanone, 2 hexanone, cyclopentanone, 4-methyl-2-pentanone and 3-pentanone semicarbazone formation are calculated 5.08, 7.52, 8.79, 9.59, 9.49, 11.59, respectively. It is concluded from the effect of ionic strength that the reaction is affected by not ion but neutral molecules being progressed hydrogen bond between oxygen atom of carbonyl group and hydrogen atom of acid-catalyst and concerted nucleophilic attack of free base on the carbonly compound. Dependence on pH of the rate of 2-pentanone semicarbozone formation is linear relationship below pH 4.60 and above pH 5.60. As a result of studing citric acid catalysis, second order constants increase linearly with citric acid concentration. As the catalyst concentration is varied from 0.025 to 0.10 mol/1 at pH 2.90, the rate constants increase 1.4 times, but slight increase is observed at pH 5.60. Conclusively, the rate-determining step is formation of tetrahedral interemediate below pH 4.65 and dehydration between pH 5.60 and pH 7.11. It is concluded that the formation reaction of cyclohexanone semicarbazone is faster than cyclopentanone semicarbazone due to the steric strain in the process of forming tetrahedral intermediate.

The Effects of CO2 Released from Deep Geological Formations on the Dissolution Process of Galena in Shallow Subsurface Environments (지중저장 이산화탄소의 누출이 천부환경에서 방연석의 용해 과정에 미치는 영향)

  • Nam, Jieun;Wang, Sookyun
    • Journal of Soil and Groundwater Environment
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    • v.20 no.1
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    • pp.19-27
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    • 2015
  • If $CO_2$ stored for geological sequestration escapes from deep formations and is introduced to shallow aquifers, it dissolves into groundwater, creates acidic environments, and enhance mineral dissolution from rocks and soils. Among these minerals, dissolution and spread of hazardous trace metals can cause environmental problems with detrimental impacts on groundwater quality. This study aims to investigate geochemical effects of $CO_2$ in groundwater on dissolution of galena, the main mineral controlling the mobility of lead. A series of batch experiments are performed with granulated galena in $CO_2$ solutions under various experimental conditions for $CO_2$ concentration and reaction temperature. Results show that dissolution of galena is significantly enhanced under acidic environments so that both of equilibrium concentrations and dissolution rates of lead increase. For thermodynamic analysis on galena dissolution, the apparent rate constants and the activation energy for galena dissolution are calculated by applying rate law to experimental results. The apparent rate constants are $6.71{\times}10^{-8}mol/l{\cdot}sec$ at $15^{\circ}C$, $1.77{\times}10^{-7}mol/l{\cdot}sec$ at $25^{\circ}C$, $3.97{\times}10^{-7}mol/l{\cdot}sec$ at $35^{\circ}C$ and the activation energy is 63.68 kJ/mol. The galena dissolution is suggested to be a chemically controlled surface reaction, and the rate determining step is the dissociation of Pb-S bond of surface complex.

Tetramethyl orthosilicate(TMOS) Synthesis by the Copper-Catalyzed Reaction of the Metallic Silicon with Methanol (II) - The Kinetics of the Copper-Catalyzed Reaction of Silicon with Methanol - (구리 촉매하에서 규소와 메탄올의 반응에 의한 Tetramethyl orthosilicate(TMOS) 합성(제2보) - 구리촉매하에서 규소와 메탄올과의 반응의 반응속도론 -)

  • Soh, Soon-Young;Won, Ho-Youn;Chun, Yong-Jin;Lee, Bum-Jae;Yang, Hyun-Soo
    • Applied Chemistry for Engineering
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    • v.10 no.2
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    • pp.259-262
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    • 1999
  • The copper-catalyzed reaction of silicon with methanol was carried out in a mixed bed reactor to obtain tetramethyl orthosilicate (TMOS). In order to determine the kinetics of the reaction per active site on the silicon surface, a flow rate transition technique was employed. A kinetic study showed the reaction was in Linear relationship with the amount of contact mass and independent on the concentration of methanol. This result indicated that the rate-determining step was not the chemical process involving methanol, but the formation of silicon intermediate on the contact mass. On the basis of optimum experimental conditions, the maximum TMOS formation rate per g-silicon is 0.030 (g/min) at $210^{\circ}C$, in which activation energy was 8.5 kcal/mol and reaction rate equation was $k=4.09{\times}10^4\;exp$ ($-4.73{\times}10^3/T$).

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Aminolysis of 2,4-Dinitrophenyl 2-Furoate and 2-Thiophenecarboxylate: Effect of Modification of Nonleaving Group from Furoyl to Thiophenecarbonyl on Reactivity and Mechanism

  • Um, Ik-Hwan;Min, Se-Won;Chuna, Sun-Mee
    • Bulletin of the Korean Chemical Society
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    • v.29 no.7
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    • pp.1359-1363
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    • 2008
  • Second-order rate constants have been determined spectrophotometrically for reactions of 2,4-dinitrophenyl 2- thiophenecarboxylate (2) with a series of alicyclic secondary amines in 80 mol % $H_2O$/20 mol % DMSO at 25.0 ${\pm}$ 0.1 ${^{\circ}C}$. The Brønsted-type plot exhibits a downward curvature, i.e., the slope decreases from 0.74 to 0.34 as the amine basicity increases. The $pK_a$ at the center of the Brønsted curvature, defined as $pK_a^o$, has been determined to be 9.1. Comparison of the Brønsted-type plot for the reactions of 2 with that for the corresponding reactions of 2,4-dinitrophenyl 2-furoate (1) suggests that reactions of 1 and 2 proceed through a common mechanism, although 2 is less reactive than 1. The curved Brønsted-type plot has been interpreted as a change in RDS of a stepwise mechanism. The replacement of the O atom in the furoyl ring by an S atom (1 $\rightarrow$ 2) does not alter the reaction mechanism but causes a decrease in reactivity. Dissection of the apparent second-order rate constants into the microscopic rate constants has revealed that the $k_2/k_{-1}$ ratio is not influenced upon changing the nonleaving group from furoyl to thiophenecarbonyl. However, $k_1$ has been calculated to be smaller for the reactions of 2 than for the corresponding reactions of 1, indicating that the C=O bond in the thiophenecarboxylate 2 is less electrophilic than that in the furoate 1. The smaller k1 for the reactions of 2 is fully responsible for the fact that 2 is less reactive than 1.

Effect of DC Bias on the Growth of Nanocrystalline Diamond Films by Microwave Plasma CVD (마이크로웨이브 플라즈마 CVD에 의한 나노결정질 다이아몬드 박막 성장 시 DC 바이어스 효과)

  • Kim, In-Sup;Kang, Chan Hyoung
    • Journal of the Korean institute of surface engineering
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    • v.46 no.1
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    • pp.29-35
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    • 2013
  • The effect of DC bias on the growth of nanocrystalline diamond films on silicon substrate by microwave plasma chemical vapor deposition has been studied varying the substrate temperature (400, 500, 600, and $700^{\circ}C$), deposition time (0.5, 1, and 2h), and bias voltage (-50, -100, -150, and -200 V) at the microwave power of 1.2 kW, working pressure of 110 torr, and gas ratio of Ar/1%$CH_4$. In the case of low negative bias voltages (-50 and -100 V), the diamond particles were observed to grow to thin film slower than the case without bias. Applying the moderate DC bias is believed to induce the bombardment of energetic carbon and argon ions on the substrate to result in etching the surfaces of growing diamond particles or film. In the case of higher negative voltages (-150 and -200 V), the growth rate of diamond film increased with the increasing DC bias. Applying the higher DC bias increased the number of nucleation sites, and, subsequently, enhanced the film growth rate. Under the -150 V bias, the height (h) of diamond films exhibited an $h=k{\sqrt{t}}$ relationship with deposition time (t), where the growth rate constant (k) showed an Arrhenius relationship with the activation energy of 7.19 kcal/mol. The rate determining step is believed to be the surface diffusion of activated carbon species, but the more subtle theoretical treatment is required for the more precise interpretation.

Formation and Dissociation Kinetics of Tetraaza-Crown-Alkanoic Acid Complexes of Cerium(Ⅲ)

  • 최기영;김동원;정용순;김창석;홍춘표;이용일
    • Bulletin of the Korean Chemical Society
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    • v.19 no.6
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    • pp.671-676
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    • 1998
  • The formation and dissociation rates of $Ce^{3+}$ Complexes of the 1,4,7,10-tetraaza-13,16-dioxacyclooctadecane-NN', N",N"'-tetraacetic acid (1), 1,4,7,10-tetraaza-13,16-dioxacyclooctadecane-N,N',N",N"'-tetramethylacetic acid (2), and 1,4,7,10-tetraaza-13,16-dioxacyclooctadecane-N,N',N",N"'-tetrapropionic acid (3) have been measured by the use of stopped-flow spectrophotometry. Observations were made at 25.0±0.1 ℃ and at an ionic strength of 0.10 M $NaClO_4$. The complexation of $Ce^{3+}$ ion with 1 and 2 proceeds through the formation of an intermediate complex $(CeH_3L^{2+})^*$ in which the $Ce^{3+}$ ion is incompletely coordinated. This may then lead to be a final product in the rate-determining step. Between pH 4.76 and 5.76, the diprotonated $(H_2L^{2-})$ from is revealed to be a kinetically active species despite of its low concentration. The stability constants $(logK(CeH_3L^{2+}))$ and specific water-assisted rate constants $(k_{OH})$ of intermediate complexes have been determined from the kinetic data. The dissociation reactions of $Ce^{3+}$ complexes of 1, 2, and 3 were investigated with $Cu^{2+}$, ions as a scavenger in acetate buffer. All complexes exhibit acid-independent and acid-catalyzed contributions. The effect of buffer and $Cu^{2+}$ concentration on the dissociation rate has also been investigated. The ligand effect on the dissociation rate of $Ce^{3+}$ complexes is discussed in terms of the side-pendant arms and the chelate ring sizes of the ligands.

Kinetic Studies on the Reaction of 4-Substituted-2,6-dinitrochlorobenzenes with Substituted Anilines in MeOH-MeCN Mixtures (MeOH-MeCN 혼합용매계에서 4-치환-2,6-이니트로 염화벤젠과 아닐린 치환체와의 반응에 대한 속도론적 연구)

  • Dae-Ho Kang;In-Sun Koo;Jong Gun Lee;Ikchoon Lee
    • Journal of the Korean Chemical Society
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    • v.29 no.6
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    • pp.565-574
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    • 1985
  • The rates of reaction between 4-substituted-2,6-dinitrochlorobenzenes with para-substituted anilines in methanol-acetonitrile mixtures were measured by conductometry. It was observed that the rate constant increases in the order of X = 4-$NO_2 {\gg}4-CN {\gg}4- CF_3$, where X is a substituent in the substrate. The rate constant also increases in the order of Y = p-O$CH_3{\gg}p- CH_3{\gg}H {\gg}p-Cl{\gg}m- NO_2$, where Y is a substituent in the aniline ring. Kinetic studies in the methanol-acetonitrile solvent system with various nucleophiles showed that the N-C bond forming step is making a great contribution to the overall second order rate constant. The electrophilic catalysis by methanol probably consists of the hydrogen bonding between alcoholic hydrogen and leaving chloride in the transition state. The nucleophilic catalysis by methanol may be ascribed to the formation of hydrogen bonds between alcoholic oxygen and hydrogens of amines in the transition state. All these experimental facts are supporting the operation of $S_N$Ar machanism with the second step being the rate determining. This mechanism can be successfully fitted to the PES model.

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A Kinetic Study on Aminolysis of t-Butyl 4-Pyridyl Carbonate and Related Compounds: Effect of Leaving and Nonleaving Groups on Reaction Mechanism

  • Kang, Ji-Sun;Lee, Jae-In;Um, Ik-Hwan
    • Bulletin of the Korean Chemical Society
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    • v.33 no.9
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    • pp.2971-2975
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    • 2012
  • Second-order rate constants $k_N$ have been measured spectrophotometrically for nucleophilic substitution reactions of t-butyl 4-pyridyl carbonate 8 with a series of alicyclic secondary amines in $H_2O$ at $25.0{\pm}0.1^{\circ}C$. The Br${\emptyset}$nsted-type plot for the reactions of 8 is linear with ${\beta}_{nuc}$ = 0.84. The ${\beta}_{nuc}$ value obtained for the reactions of 8 is much larger than that reported for the corresponding reactions of t-butyl 2-pyridyl carbonate 6 (i.e., ${\beta}_{nuc}$ = 0.44), which was proposed to proceed through a forced concerted mechanism. Thus, the aminolysis of 8 has been concluded to proceed through a stepwise mechanism with a zwitterionic tetrahedral intermediate $T^{\pm}$, in which expulsion of the leaving-group from $T^{\pm}$ occurs at the rate-determining step (RDS). In contrast, aminolysis of benzyl 4-pyridyl carbonate 7 has been reported to proceed through two intermediates, $T^{\pm}$ and its deprotonated form $T^-$ on the basis of the fact that the plots of pseudo-first-order rate constant $k_{obsd}$ vs. amine concentration curve upward. The current study has demonstrated convincingly that the nature of the leaving and nonleaving groups governs the reaction mechanism. The contrasting reaction mechanisms have been rationalized in terms of an intramolecular H-bonding interaction, steric acceleration, and steric inhibition.

Kinetics and Reaction Mechanism for Alkaline Hydrolysis of Y-Substituted-Phenyl Diphenylphosphinates

  • Hong, Hyo-Jeong;Lee, Jieun;Bae, Ae Ri;Um, Ik-Hwan
    • Bulletin of the Korean Chemical Society
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    • v.34 no.7
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    • pp.2001-2005
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    • 2013
  • The second-order rate constants ($k_{OH^-}$) for the reactions of Y-substituted-phenyl diphenylphosphinates (4a-4i) with $OH^-$ in $H_2O$ at $25.0{\pm}0.1^{\circ}C$ have been measured spectrophotometrically. Comparison of $k_{OH^-}$ with $k_{EtO^-}$ (the second-order rate constants for the corresponding reactions with $EtO^-$ in ethanol) has revealed that $EtO^-$ is less reactive than $OH^-$ although the former is ca. 3.4 $pK_a$ units more basic than the latter, indicating that the reactivity of these nucleophiles is not governed by their basicity alone. The Br${\o}$nsted-type plot for the reactions of 4a-4i with $OH^-$ is linear with ${\beta}_{lg}$ = -0.36. The Hammett plot correlated with ${\sigma}^-$ constants results in a slightly better correlation than that correlated with ${\sigma}^{\circ}$ constants but exhibits many scattered points. In contrast, the Yukawa-Tsuno plot for the same reactions exhibits an excellent linear correlation with ${\rho}$ = 0.95 and r = 0.55. The r value of 0.55 implies that a negative charge develops partially on the O atom of the leaving group. Thus, the reactions of 4a-4i with $OH^-$ have been concluded to proceed through a concerted mechanism.