2019•Undergraduate Journal of Mathematical Modeling One + TwoOpen access

Acid-Base Titration

David Pierre

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Abstract

Titration is an analytical method used in biomedical sciences and analytical chemistry laboratories to determine the quantity or the concentration of a known or unknown substance. There are many kinds of titrations, but this investigation is fundamentally based on acid-base titration, in which the development of a mathematical titration model is explained and determined. In a titration experiment, the concentration and volume of the base added is proportionally equal to those of the acid. The concentration of the substance is determined by following this principle. Moreover, these calculations are usually approximate. Thus, the construction of a titration model is done to minimize the percent errors, simultaneously describing the effect of titration, and also allowing the determination of the characteristics of the unknown substance used. Furthermore, the values generated by the titration model are compared to the theoretical ones. It allows the verification of the mathematical model constructed. Subsequently, the efficiency of titration model is further tested by using a theoretical problem to exclude the errors from the experiment. This verification displays the accuracy of the accepted titration model. The concentration of the unknown acid is found by using this mathematical model.

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Titration is an analytical method used in biomedical sciences and analytical chemistry laboratories to determine the quantity or the concentration of a known or unknown substance. There are many kinds of titrations, but this investigation is fundamentally based on acid-base titration, in which the development of a mathematical titration model is explained and determined. In a titration experiment, the concentration and volume of the base added is proportionally equal to those of the acid. The concentration of the substance is determined by following this principle. Moreover, these calculations are usually approximate. Thus, the construction of a titration model is done to minimize the percent errors, simultaneously describing the effect of titration, and also allowing the determination of the characteristics of the unknown substance used. Furthermore, the values generated by the titration model are compared to the theoretical ones. It allows the verification of the mathematical model constructed. Subsequently, the efficiency of titration model is further tested by using a theoretical problem to exclude the errors from the experiment. This verification displays the accuracy of the accepted titration model. The concentration of the unknown acid is found by using this mathematical model.

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Available abstract

Titration is an analytical method used in biomedical sciences and analytical chemistry laboratories to determine the quantity or the concentration of a known or unknown substance. There are many kinds of titrations, but this investigation is fundamentally based on acid-base titration, in which the development of a mathematical titration model is explained and determined. In a titration experiment, the concentration and volume of the base added is proportionally equal to those of the acid. The concentration of the substance is determined by following this principle. Moreover, these calculations are usually approximate. Thus, the construction of a titration model is done to minimize the percent errors, simultaneously describing the effect of titration, and also allowing the determination of the characteristics of the unknown substance used. Furthermore, the values generated by the titration model are compared to the theoretical ones. It allows the verification of the mathematical model constructed. Subsequently, the efficiency of titration model is further tested by using a theoretical problem to exclude the errors from the experiment. This verification displays the accuracy of the accepted titration model. The concentration of the unknown acid is found by using this mathematical model.

Key concepts: Titration, Titration curve, Acid–base titration, Gran plot, Chemistry, Base (topology), Analytical Chemistry (journal), Mathematics

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