Modeling Titration Curves
 

A Point of Integration

Chemistry and Mathematics

 

Titration is a procedure used by chemists to determine the concentrations of dissolved chemical species. Chemistry teachers often use titrations to teach about acid/base behavior. The chemistry teacher uses the shapes of titration curves when explaining a variety of chemical behaviors. What a chemistry teacher describes as the buffering zone and the equivalence point of a titration curve, the mathematics teacher describes as critical points of a function. The titration curve represents a possible area for integration when teaching these two disciplines.

We have developed a simple calculator program that generates a titration curve for any reacting acid species with a strong base (such as sodium hydroxide). The user enters these quantities: molarity of acid; dissociation constant for the acid (Ka); dissociation constant for water (Kw); volume of acid to be titrated; and molarity of titrant (such as NaOH). The calculator then generates a titration curve plotting pH vs. volume titrant added.

Ka = 100
Ka = 1x10^-5
Ka = 1x10^-10
  1. Ka = 100
  2. Ka = 1x10^-5
  3. Ka = 1x10^-10

PROGRAMS FOR DOWNLOADING

The following programs are UUE encoded.
TI-82
TI-83
Program for creating titration curves.
TITRATE.82P.sit MAC

TITRATE.82P.zip WIN

TITRATE.82P.sit MAC

TITRATE.83p.zip WIN

Program written for calculation of first and second derivative of a titration curve. Written by Vernier Software.
DERIVE.82p.sit MAC

DERIVE.82p.zip WIN

DERIVE.83p.sit MAC

DERIVE.83p.zip WIN