基于Langmuir等温吸附的吸附动力学方程
Adsorption kinetics equation based on Langmuir isotherm
程惠亭 1刘恩周 1郝文斌2
作者信息
- 1. 西北大学化工学院,陕西西安 710127
- 2. 隆基乐叶光伏科技有限公司,陕西西安 710018
- 折叠
摘要
把吸附剂对溶质的吸附看作是吸附剂和溶质之间的化学反应,参照反应动力学方程提出了相应的吸附动力学方程.基于Langmuir等温吸附定义了吸附剂动力学浓度,并导出了它和固液比、Langmuir等温吸附方程参数的关系.吸附动力学微分方程为(1+a)级,对应于吸附剂动力学质量浓度是1级,对应于溶质质量浓度为a级.通过对动力学微分方程求解,分别得到了 a=1和a=2时的动力学方程的解析表达式.在a=2时,用提出的动力学方程对文献的吸附数据进行了回归计算,结果表明该动力学模型和实验数据吻合良好,回归的相关系数R2>0.97.
Abstract
The adsorption is regarded as a chemical reaction between solute and solid adsorbent,and the corresponding kinetic model was developed referring to the reaction kinetics.Based on Langmuir isothermal adsorption,the kinetic concentration of adsorbent was defined,and its relationship with solid-liquid ratio and Langmuir constant was determined.The model consists of a(1+a)order differential equation,corresponding to the adsorbent kinetic mass concentration of 1 and the solute mass concentration of a.The analytical expression of the model is obtained by solving kinetics differential equation at a=1 and a=2.The regression calculations of the adsorption data in literatures were carried out at a=2.The model prediction and the experimental data are in good agreement.The correlation coefficient R2 is over 0.97.
关键词
吸附/等温吸附/Langmuir等温吸附/吸附动力学Key words
adsorption/isothermal adsorption/Langmuir isotherm/adsorption kinetics引用本文复制引用
基金项目
西北大学研究生校企联合课程建设项目(2023)(XQ2023008)
出版年
2024