中值定理在微分法确定反应级数时的应用  

Application of the Lagrange Law of the Mean at Determining Reaction Series

作　　者：郭子成[1] 周广芬[1] 刘艳春[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2004年第4期7-10,共4页Journal of Hebei University of Science and Technology

摘　　要：将具有简单级数反应的动力学方程按麦克劳林级数展开成曲线方程,证明可以使用拉格朗日中值定理获取曲线上某点的切线斜率,进而可用微分法确定反应级数。使用拉格朗日中值定理获取微分数据,工作量小,误差小。该法突破了以前必须做两张图才能求级数的限制。对化学动力学的理论与实验教学有拓宽思路、促进教学的作用。In this paper, a new data-processing method of determining reaction order is proposed, which obtains the differential data in terms of the Lagrange Law of the Mid-value. It has less workload and error chance. The data-processing jobs can be finished by the computer. This method overcomes the limits of calculating reaction order by constructing two figures. It will bring about a great advance in the teaching and experiment of chemical kinetics.

关 键 词：拉格朗日中值定理 微分法 反应级数 级数展开 切线 证明 动力学方程 获取 作用 促进 

分 类 号：N09[自然科学总论—科学技术哲学] O172[理学—数学]