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Analysis of Elementary and Complex Reaction Kinetics
Author

Eric Bittner
Organization: University of Houston
Department: Chemistry Department
URL: http://www.chem.uh.edu/people/faculty/Bittner/index.php
Education level

College
Description

Kinetics deals with how fast chemical process occur. In the simplest case of unimolecular decay: A->B, species A undergoes some transformation to become species B. The rate of change of A into B can be cast as a simple differential equation:

tA[t] == -k A[t]

where the constant k is the rate constant. For chemical species, A[t] represents the concentration. This is subject to the initial condition that A[0] = Ao. This simple differential equation can be integrated

DSolve[{∂tA[t] == -k A[t], A[0] == Ao}, A[t], t] {{A[t] -> Ao E^(-k t)}}

to produce an exponentially decaying population (or concentration) of A.
Subjects

*Education > College
*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Chemistry
*Teaching
Keywords

Physical Chemistry, Chemical Kinetics, Elementary Reaction Kinetics, Complex Reaction Kinetics, Unimolecular Decay, Half-Life, Bi-Molecular Reaction, Differential Rate Law, Integrated Rate Law, Equilibrium, Sequential Reaction, Steady State Approximation, Parallel Reactions, Brusselator, Attractors, Repellers, Limiting Cycle, Poincare-Bendixson Theorem, Glycolis, Oregonator, Belousov-Zhabotinskii Reaction, Thermo-Catalyzed Reactions, Heat Catalysis, Chaotic Dynamics, Strange Attractors, Stochastic Reactions
Downloads

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Kinetics-Notes-version7.cdf (2.2 MB) - CDF Document