Titration
Anita
Salem, Mathematics, Rockhurst University
Paula
Shorter, Mathematics, Computer Science, and Physics, Rockhurst University
Dale Harak, Chemistry, Rockhurst
University
Area of Application: Chemistry
Mathematical Level: Calculus I
Purpose: The
chemical technique of titration is used to determine the concentration of a substance
in a solution. The purpose of this project is to construct a mathematical model
describing the effects of titration, and then to use that model to determine the
concentration and the identity of an acid in a solution by fitting the model to
real titration data.
Prerequisites: No
calculus is required for constructing the titration model, but optimization concepts
involving first and second derivatives are used when further analyzing the model.
Titration data collected by a student at Rockhurst University is provided. A computer
algebra system (CAS) or graphing calculator is strongly recommended for the numerical
and graphical analysis of the titration data.
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