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微分-积分法确定反应速率常数
引用本文:粟智.微分-积分法确定反应速率常数[J].新疆师范大学学报(自然科学版),2004,23(4):62-66.
作者姓名:粟智
作者单位:新疆师范大学,生命与环境科学学院,新疆,乌鲁木齐,830054
摘    要:介绍微分-积分法确定反应速率常数的原理以及利用MATLAB语言设计了微分.积分法求反应级数的计算机处理过程。处理时先对在实验测定中不同时刻测定的浓度C数据,利用三次样条插值法和差分法求出各浓度C对应的速率V,再利用线性回归法求出反应级数,最后利用动力学积分方程计算反应速率常数。本以一级、二级反应和分数级反应实验测定结果为例进行验证,结果表明,利用所编程序确定的反应级数与常规方法能很好的吻合。在化学动力学中这种数据处理方法将使实验过程得到简化,实验结果更准确、更可靠。

关 键 词:微分  反应级数  反应速率常数  积分法  积分方程  种数  化学动力学  反应实验  分数  实验过程
文章编号:1008-9659-(2004)-04-0062-05
修稿时间:2004年1月25日

Differential-integral Method of Determining for the Rate Constant
SU Zhi.Differential-integral Method of Determining for the Rate Constant[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2004,23(4):62-66.
Authors:SU Zhi
Abstract:Based on the theory of a differential method and the integral method for determining the order of a reaction and the rate constant,the paper introduces the experimental data processing by using the differential integral method and designing Matlab program.During the process,for the measured concentricity value C at different time during the experiment,use the piecewise cubic spline branketing method and the differentiation method the get velocity ratio V which is in corresponding to the different concentricity C,and then use the linear regression analysis to get the relation of lnC and lnV and the reaction order n,at last to get the rate constant K by using the the integral function of chemical kinetic.Calculation examples for experimental data of these reaction orders such as,the first,the second and the quantile are given.and the results show a good agreement to the results computed with ordinary.In the chemical kinetic,this method of experimental data processing will simplify the experimental procedure,and the results may be more accurate and reliable.
Keywords:Differential-integral method  Order of a Reaction  Linear regression  piecewise cubic spline branketing method  Data processing  Rate constant  Matlab program
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