Academic Journal
Mathematical modelling of the vitamin C clock reaction
| العنوان: | Mathematical modelling of the vitamin C clock reaction |
|---|---|
| المؤلفون: | R. Kerr, W. M. Thomson, D. J. Smith |
| المصدر: | Royal Society Open Science, Vol 6, Iss 4 (2019) |
| بيانات النشر: | The Royal Society, 2019. |
| سنة النشر: | 2019 |
| المجموعة: | LCC:Science |
| مصطلحات موضوعية: | clock reaction, matched asymptotic expansions, mathematical chemistry, Science |
| الوصف: | Chemical clock reactions are characterized by a relatively long induction period followed by a rapid ‘switchover’ during which the concentration of a clock chemical rises rapidly. In addition to their interest in chemistry education, these reactions are relevant to industrial and biochemical applications. A substrate-depletive, non-autocatalytic clock reaction involving household chemicals (vitamin C, iodine, hydrogen peroxide and starch) is modelled mathematically via a system of nonlinear ordinary differential equations. Following dimensional analysis, the model is analysed in the phase plane and via matched asymptotic expansions. Asymptotic approximations are found to agree closely with numerical solutions in the appropriate time regions. Asymptotic analysis also yields an approximate formula for the dependence of switchover time on initial concentrations and the rate of the slow reaction. This formula is tested via ‘kitchen sink chemistry’ experiments, and is found to enable a good fit to experimental series varying in initial concentrations of both iodine and vitamin C. The vitamin C clock reaction provides an accessible model system for mathematical chemistry. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2054-5703 |
| Relation: | https://doaj.org/toc/2054-5703 |
| DOI: | 10.1098/rsos.181367 |
| URL الوصول: | https://doaj.org/article/4eec348b141a4d5f913d12ac0459d1ff |
| رقم الانضمام: | edsdoj.4eec348b141a4d5f913d12ac0459d1ff |
| قاعدة البيانات: | Directory of Open Access Journals |
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