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  Home > JCE Print > Journal of Chemical Education > Issues > 2005  > September  >
Research: Science and Education
Reduction of Iodine by Phosphorus(I): Integration of the Rate Equation
Kenneth Kustin
Department of Chemistry, Brandeis University, Waltham, MA 02454-9110

Edward W. Ross
U.s. Army Soldier Biological and Chemical Command, Natick Soldier Center, Combat Feeding Innovative Science Team, Natick, MA 01760-5018

Cover
September 2005
Vol. 82 No. 9
p. 1413

Abstract
The reduction of iodine by phosphorus(I) (hypophosphorous acid) yields iodide and phosphorus(III) (phosphorous acid). The reaction is autocatalytic in hydrogen ion, autoinhibitory in iodide ion, and zero order in iodine over a wide concentration range. We return to the original article by A. D. Mitchell that presents a mechanism to account for these facts and devise a method to integrate numerically the complex rate equation for this reaction. Integration is combined with nonlinear curve-fitting to determine the rate-limiting rate constant and provide a fit to the data that is considerably improved over the original. The entire exercise provides an excellent case study for introducing the student to numerical integration and curve-fitting of complex nonlinear reaction dynamics.
Supplement
Appendices I, II, and III are available.
*  Contents JCE2005p1413W.doc (Microsoft Word)
*  Download
JCE2005p1413W.pdf

JCE2005p1413W.zip

More Information
*  Citation
Kustin, Kenneth; Ross, Edward W. J. Chem. Educ. 2005 82 1413.
*  Keywords
Chemometrics; Computer-Based Learning; Graduate Education / Research; Inorganic Chemistry; Kinetics; Mathematics / Symbolic Mathematics; Mechanisms of Reactions; Oxidation / Reduction; Physical Chemistry; Rate Law; Reactions; Upper-Division Undergraduate
*  History
Created:
Last Updated:
August 2, 2005
August 10, 2005
  Home > JCE Print > Journal of Chemical Education > Issues > 2005  > September  > Page 1413


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