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ERIC Number: EJ1100276
Record Type: Journal
Publication Date: 2016-Apr
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0021-9584
Solving Simple Kinetics without Integrals
de la Pen~a, Lisandro Herna┬┤ndez
Journal of Chemical Education, v93 n4 p669-675 Apr 2016
The solution of simple kinetic equations is analyzed without referencing any topic from differential equations or integral calculus. Guided by the physical meaning of the rate equation, a systematic procedure is used to generate an approximate solution that converges uniformly to the exact solution in the case of zero, first, and second order kinetics. The approximate solution is shown to have unequivocally the same form as the exact solution, except for an effective parametric rate constant that turns into the actual rate constant of the process at the appropriate limit. The use of simple algebraic methods makes the analysis elementary and its generalization to processes with fractional order kinetics straightforward. We discuss the educational value of this approach while highlighting its use for introducing chemical kinetics and related topics to high school and first-year students. Furthermore, instructors and students already familiar with the main results derived here will also benefit from this presentation as it offers a different perspective on the solution of routinely found differential equations.
Division of Chemical Education, Inc and ACS Publications Division of the American Chemical Society. 1155 Sixteenth Street NW, Washington, DC 20036. Tel: 800-227-5558; Tel: 202-872-4600; e-mail: eic@jce.acs.org; Web site: http://pubs.acs.org/jchemeduc
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Michigan