The Progression of Sequential Reactions
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...
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| Format: | Article |
| Language: | English |
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University of South Florida
2010-01-01
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| Series: | Undergraduate Journal of Mathematical Modeling: One + Two |
| Subjects: | |
| Online Access: | http://scholarcommons.usf.edu/ujmm/vol2/iss2/5 |
| _version_ | 1828972037665718272 |
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| author | Jack McGeachy |
| author_facet | Jack McGeachy |
| author_sort | Jack McGeachy |
| collection | DOAJ |
| description | 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<sub>1</sub> and A<sub>2</sub> possessed discreet maxima, which were determined through slope-analysis. The concentration curve of the final product, A<sub>3</sub>, did not possess a discreet maximum, but rather approached a finite limit. |
| first_indexed | 2024-12-14T13:20:09Z |
| format | Article |
| id | doaj.art-77650770a4fd45e1a74739893722c316 |
| institution | Directory Open Access Journal |
| issn | 2326-3652 |
| language | English |
| last_indexed | 2024-12-14T13:20:09Z |
| publishDate | 2010-01-01 |
| publisher | University of South Florida |
| record_format | Article |
| series | Undergraduate Journal of Mathematical Modeling: One + Two |
| spelling | doaj.art-77650770a4fd45e1a74739893722c3162022-12-21T22:59:57ZengUniversity of South FloridaUndergraduate Journal of Mathematical Modeling: One + Two2326-36522010-01-012210.5038/2326-3652.2.2.5The Progression of Sequential ReactionsJack McGeachySequential 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<sub>1</sub> and A<sub>2</sub> possessed discreet maxima, which were determined through slope-analysis. The concentration curve of the final product, A<sub>3</sub>, did not possess a discreet maximum, but rather approached a finite limit.http://scholarcommons.usf.edu/ujmm/vol2/iss2/5Sequential Reactions, Chemical Concentration, Process Optimization |
| spellingShingle | Jack McGeachy The Progression of Sequential Reactions Undergraduate Journal of Mathematical Modeling: One + Two Sequential Reactions, Chemical Concentration, Process Optimization |
| title | The Progression of Sequential Reactions |
| title_full | The Progression of Sequential Reactions |
| title_fullStr | The Progression of Sequential Reactions |
| title_full_unstemmed | The Progression of Sequential Reactions |
| title_short | The Progression of Sequential Reactions |
| title_sort | progression of sequential reactions |
| topic | Sequential Reactions, Chemical Concentration, Process Optimization |
| url | http://scholarcommons.usf.edu/ujmm/vol2/iss2/5 |
| work_keys_str_mv | AT jackmcgeachy theprogressionofsequentialreactions AT jackmcgeachy progressionofsequentialreactions |