Scholar Commons > College of Arts and Sciences > Mathematics and Statistics > UJMM: One + Two > Vol. 2 > Iss. 2 (2010)

#### Article Title

#### Publication Year

2010

#### Abstract

Sequential reactions consist of linked reactions in which the product of the first reaction becomes the substrate of a second reaction. Sequential reactions occur in industrially important processes, such as the chlorination of methane. A generalized series of three sequential reactions was analyzed in order to determine the times at which each chemical species reaches its maximum. To determine the concentration of each species as a function of time, the differential rate laws for each species were solved. The solution of each gave the concentration curve of the chemical species. The concentration curves of species A_{1} and A_{2} possessed discreet maxima, which were determined through slope-analysis. The concentration curve of the final product, A_{3}, did not possess a discreet maximum, but rather approached a finite limit.

#### Recommended Citation

McGeachy, Jack
(2010)
"The Progression of Sequential Reactions,"
*Undergraduate Journal of Mathematical Modeling: One + Two*:
Vol. 2:
Iss.
2, Article 5.

DOI: http://dx.doi.org/10.5038/2326-3652.2.2.5

Available at:
http://scholarcommons.usf.edu/ujmm/vol2/iss2/5

#### Advisors:

Razvan Teodorescu, Mathematics and Statistics

Scott Campbell, Chemical & Biomedical Engineering

#### Problem Suggester:

Scott Campbell