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Citation: Shuzhe Sun, Zehao Zhang, Bin Zhang. Mathematical Interpretation of Initial Curve of Acid-Base Titration between Strong Base and Weak Acid: Taking NaOH and HAc as an Example[J]. University Chemistry, ;2021, 36(6): 200800. doi: 10.3866/PKU.DXHX202008008 shu

Mathematical Interpretation of Initial Curve of Acid-Base Titration between Strong Base and Weak Acid: Taking NaOH and HAc as an Example

Shuzhe Sun ^1,2 ,
Zehao Zhang ^2,3 ,
Bin Zhang ^1,,

1.
School of Chemistry and Chemical Engineering, Shandong University, Jinan 250100, China;
2.
Taishan College, Shandong University, Jinan 250100, China;
3.
School of Life Sciences, Shandong University, Qingdao 266237, Shandong Province, China

Corresponding author: Bin Zhang, binzhang68@sdu.edu.cn
Received Date: 3 August 2020

In the acid-base titration curve of titration from NaOH to HAc, shown in the sixth edition of Analytical Chemistry edited by Wuhan University, we found that there was an obvious protruding part of the curve at the initial stage of titration, which was significantly different from the curve of titration from NaOH to HCl at the same concentration. In this paper, the mathematical expression of fitting the curve is derived by using various equilibrium relations in acid-base reaction. The correlation law of acid-base titration is proved by combining with the image of mathematical function. The mathematical model can explain not only the differences between two curves, but also the reasons and influencing factors of the initial titration curve difference of weak acids by strong alkali titration.
- Analytical chemistry,
- Acid-base titration,
- Titration curves,
- Acid-base equilibrium,
- Mathematical model
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