
[物化] 表觀活化能
Apparent activation energy calculating results show that the high reactive coal can improve the ignition property of blended coals and moreover there exists an optimum blending ratio.
表觀活化能的計算結果表明高活性煤種的存在可以很好的改善混煤的着火性能,并且存在最佳摻混比例。
A new linear activation energy method for predicting service life of solid propellant is put forward on the basis of the function relationship of apparent activation energy and temperature.
通過理論推導得出了表觀活化能與溫度的函數關系,将其應用于推進劑貯存壽命預估,得到了新的預估公式,提出了線性活化能法。
According to experimental results, the model parameters, such as the order of reaction, the rate constants, the apparent activation energy and the inactivation factor of catalyst were obtained.
通過對實驗數據的處理,得到了該模型的反應級數、速率常數、表觀活化能以及催化劑失活因子等參數。
Reaction rate constant, effective diffusivity, apparent activation energy, effective diffusion activation energy and resistance in various steps of the reaction process were analyzed in this paper.
并對反應速率常數和有效擴散系數、表觀反應活化能和有效擴散活化能及反應過程中各步驟阻力進行了分析。
The order of the reaction and apparent activation energy has been determined.
測定了反應級數和表觀活化能;
The apparent activation energy of voluminal reduction on MOOFCC by microwave heating is very low (9.
微波加熱含碳氧化錳礦粉體還原反應的活化能非常低(9。
The kinetic study indicates that the apparent activation energy of resin matrix decomposition increases with the increase of reaction degree.
動力學研究表明,樹脂基體的表觀活化能隨分解程度增加逐漸增加。
The values of apparent activation energy and reaction rate constant were calculated.
計算了初始階段的反應速度常數和表觀活化能;
It's also confirmed through calculating the apparent activation energy.
通過對表觀活化能的計算也證實了上述結論。
For the esterification of n-butyl acetate catalyzed by the resin, the apparent activation energy(Ea), catalytic coefficient (ka) and effect of internal and external diffusion were investigated.
考察了樹脂催化劑液相合成乙酸丁酯反應的表觀活化能、催化系數和内外擴散影響。
The number of active center and the apparent activation energy and the propagation activation energy of buta***ne polymerization were dete…
測得了*********在本體系中聚合的表觀與增長活化能以及活性中心數目。
In this paper, by testing gel time and further gaining the apparent activation energy and the relation between it and amine value, the rules of reacting activation of curing agent were discussed.
通過對合成的環氧- 二乙烯三胺的凝膠時間測試,和由此而得來的表觀活化能以及它與胺加成物的胺值之間的關系來考察固化劑的反應活性規律。
Reaction apparent activation energy and frequency factor were calculated.
求得了反應的表觀活化能及頻率因子。
Kinetic parameters have been calculated respectively from experimental data: apparent activation energy (E) and apparent frequency factor(A) of the reactions .
根據實驗分别确定了動力學參數:反應的表觀活化能E和表觀頻率因子A。
Kinetic constant and apparent activation energy of iodine catalytic reaction of ascorbic acid oxidation Naphth Green B have been determined by spectrophotometric method.
本文采用分光光度法測定了碘催化抗壞血酸氧化萘酚綠B反應的反應速度常數和表觀活化能。
The apparent activation energy of thermal degradation reaction of the NR by natural coagulation is higher than that coagulated with the technology of formic acid.
自然凝固工藝制備的NR熱降解反應的表觀活化能高于甲酸凝固工藝制備的NR 熱降解反應的表觀活化能。
Also, the apparent activation energy of the reaction of hydrogenation of benzene and the reaction of production of hydrogen was figured out respectively based on the experimental data.
考察了反應溫度對苯加氫反應速度和析氫反應速度的影響,推算出苯加氫反應和析氫反應的表觀活化能;
The permeability of water vapor through epoxy coatings with talcum powder coated by stearic acid was measured by permeation cup, the permeation apparent activation energy was calculated .
用通透杯測定了不同溫度下水汽在含硬脂酸包覆滑石粉環氧塗層中的滲水率,通過計算求出了水汽在塗層中傳輸的表觀活化能。
Two methods which were derived from the temperature and apparent activation energy at glass transition and from VFT equation were used to calculate the viscoelastic coefficients in WLF equation.
通過玻璃化轉變溫度和表觀活化能以及由VFT方程導得WLF方程粘彈系數的兩種新計算方法。
The apparent activation energy of the inhibitory reaction is 86.
阻抑反應的表觀活化能為86。
In medium temperature area, reaction rate is severely affected by internal diffusion and the apparent activation energy is about a half as that of kinetic control area.
中溫區為内擴散嚴重影響區,其表觀活化能約為反應動力學控制區活化能的一半;
The number of active center and the apparent activation energy and the propagation activation energy of buta***ne polymerization were determined.
測得了*********在本體系中聚合的表觀與增長活化能以及活性中心數目。
The results show that matrixes have changed the composition of pyrolysis products and have decreased the apparent activation energy of pyrolysis reaction, thus speeding up the progress of reaction.
實驗結果表明:各種介質均改變了幹酪根熱解産物的組成特征,并不同程度降低了幹酪根裂解的表觀活化能,從而加速了反膨的進行。
The order of the reaction and apparent activation energy was determined.
測定了反應級數和表面活化能。
In the unit kinetic parameters for the reaction rate constant, the frequency factor and the apparent activation energy etc.
測定了反應速率常數、頻率因子、活化能等動力學參數。
At present, it is recommended that the apparent activation energy of hydration reaction at early stage may be used to evaluate the efficiency of anti-freezing admixtures.
建議在冬季施工中,将早期水化活化能作為防凍外加劑效率的綜合指标。
The time to gelation and the apparent activation energy for the reaction were determined by DSC, TBA and the cure test. The kinetic parameters were obtained.
用DSC、TBA和固化儀等手段測定了凝膠化時間和表觀反應活化能,計算了反應動力學參數。
表觀活化能(Apparent Activation Energy)是化學動力學中的重要概念,特指在非基元反應或複雜反應體系中,通過實驗數據(如阿倫尼烏斯方程)拟合得到的活化能數值。它反映了反應速率隨溫度變化的整體表現,但不同于基元反應中分子碰撞所需克服的真實能壘(即微觀活化能)。其核心特點與意義如下:
實驗拟合值
表觀活化能是通過測量不同溫度下的反應速率常數 (k),并代入阿倫尼烏斯方程拟合得出:
$$ ln k = ln A - frac{E_a}{RT} $$
其中 (E_a) 即為表觀活化能,(A) 為指前因子,(R) 為氣體常數,(T) 為溫度。該值綜合了反應路徑中多個基元步驟的能壘疊加效應。
複雜反應的體現
在包含連串反應、平行反應或催化反應等複雜體系中,表觀活化能可能由多個基元步驟的活化能組合而成。例如:
表觀活化能可用于預測反應速率對溫度的敏感性。較高的 (E_a) 意味着速率隨溫度升高顯著加快,這對工業反應器控溫策略有指導意義。
在催化研究中,表觀活化能的降低常歸因于催化劑降低了關鍵步驟的能壘,是衡量催化活性的重要指标。
若表觀活化能隨實驗條件(如濃度、pH)突變,可能提示反應主導路徑的改變,為機理研究提供線索。
Atkins, P. W., & de Paula, J. Physical Chemistry(牛津大學出版社). 第10版第22章詳細讨論了複雜反應動力學中的表觀活化能概念。
Bell, A. T. "The Impact of Nanoscience on Heterogeneous Catalysis." Science (2003). 闡述了多相催化體系中表觀活化能的物理意義。
Fogler, H. S. Elements of Chemical Reaction Engineering(普rentice Hall). 第3章分析了非等溫反應器中表觀活化能的應用。
(注:鍊接因平台限制未展示,文獻信息可依據标題與作者檢索原文。)
表觀活化能(Apparent Activation Energy) 是通過實驗數據計算得到的動力學參數,主要用于描述複雜反應體系的能量阈值。以下是詳細解釋:
表觀活化能源于阿倫尼烏斯公式(Arrhenius equation)中的參數 $E_a$,其定義式為: $$ k = A e^{-E_a / RT} $$ 其中 $k$ 為速率常數,$R$ 為氣體常數(8.314 J/(mol·K)),$T$ 為溫度。通過實驗測定不同溫度下的 $k$ 值,以 $ln k$ 對 $1/T$ 作圖,所得直線斜率的負值與 $R$ 的乘積即為表觀活化能。
表觀活化能廣泛用于材料科學(如水泥熟料形成反應)、化學動力學分析等領域,幫助量化反應速率對溫度的敏感程度。
如需更完整的實驗方法或公式推導,可參考化學動力學教材或專業文獻。
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