﻿ 酸碱滴定曲线的数学分析及其化学意义的探讨

### 酸碱滴定曲线的数学分析及其化学意义的探讨

1. 1 山东大学化学与化工学院, 济南 250100
2 山东大学泰山学堂, 济南 250100
• 收稿日期:2022-05-11 录用日期:2022-06-05 发布日期:2022-06-21
• 通讯作者: 张斌 E-mail:binzhang68@sdu.edu.cn
• 基金资助:
山东大学教育教学改革研究项目(2021Y234);山东大学教育教学改革研究项目(2022Y071);“基础学科拔尖学生培养计划”研究课题(20180212)

### Mathematical and Chemical Analyses of Acid-Base Titration Curve

Xuyang Wang1,2, Shuzhe Sun1,2, Xiaowen Xu1, Guizheng Zou1, Bin Zhang1,*()

1. 1 School of Chemistry and Chemical Engineering, Shandong University, Jinan 250100, China
2 Taishan College, Shandong University, Jinan 250100, China
• Received:2022-05-11 Accepted:2022-06-05 Published:2022-06-21
• Contact: Bin Zhang E-mail:binzhang68@sdu.edu.cn

Abstract:

Acid-base titration is the most basic experiment in analytical chemistry. The titration curve reflects the whole process of neutralization reaction and is very important to understand acid-base titration. Based on three basic hypotheses, the chemical equilibrium, electroneutrality principle and mass balance, we established mathematical model between ionization degree and pH as well as titration percentage by keeping one parameter unchanged and the other two changed at the initial point. In addition, we recovered the acid-base titration curve by performing mathematical analysis and derivatization of the function. Through the analysis of two initial conditions in mathematical formula and the effects on the function, the quantitative validation on interpretations was introduced for reactions of different concentrations and strength of acids in titrations described in traditional teaching materials. With theoretical expansion of titration curves, we proposed a possible method for weak acid titration.