Consortium for Mathematics and its Applications

Product ID: 99814
Supplementary Print
Undergraduate

Calibration and the Law of Mass Action (UMAP)

Author: Yves Nievergelt


This Module shows how methods for various analyses of data reduce to the calculation of a weighted mean to minimize a weighted sum of squares. Applications include Wilhelm Ostwald's calibration of a laboratory instrument called an azotometer, mathematical modeling of chemical reactions, and test of the chemical Law of Mass Action.

Table of Contents

1. INTRODUCTION

2. CALIBRATING AN AZOTOMETER WITH MATHEMATICAL MODELS

2.1 Collecting Data from Controlled Experiments
2.1.1 Constant Excess in Readings from the Azotometer
2.1.2 Proportionality in Readings from the Azotometer
2.1.3 Systematic Excess in the Readings from the Azotometer
2.2 Fitting Mathematical Models to the Data

3. TESTING THE LAW OF MASS ACTION WITH MATHEMATICAL MODELS
3.1 Modeling Bimolecular Reactions

4. SOLUTIONS TO ODD-NUMBERED EXERCISES

STATISTICAL APPENDIX

REFERENCES

ACKNOWLEDGMENTS

ABOUT THE AUTHOR


©2015 by COMAP, Inc.
UMAP Module
31 pages

Mathematics Topics:

  • Calculus ,
  • Probability & Statistics

Application Areas:

  • Chemistry

Prerequisites:

Calculus

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