Increasing Velocity, Determining the Values at Equilibrium and Remarkable Rate Constants in Inter–Conversion Processes Revisited

Keywords: inter-conversion; equilibrium; optimal solutions; increasing velocity; Schwarz inequality; remarkable rate constants; projector

Abstract

Inter-conversion processes of labile molecules obey similar laws to those of reversible chemical reactions. The main purpose of this review article is to recall and improve and correct previous results on this subject. Namely, one corrects a result on the relationship between two rate constants, in the case when an intermediate state is involved. One proves that by increasing velocity, the concentrations of the main species at equilibrium are equal. This assertion seems to be true in both cases: when an intermediate state is involved and in the opposite case. In the latter case, one characterizes the property of being a projector for the linear transform defined by the matrix of the differential system which governs the process. Namely, one proves that this transform is a projector if and only if the rate constants have a common value. This value is ½ and equals the equal values of the concentrations at equilibrium.

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Author Biography

Octav Olteanu, Politehnica University of Bucharest

Department of Mathematics-Informatics, University Politehnica of Bucharest, Splaiul Independenței 313, 060042 Bucharest, Romania

References

O. Olteanu, On the values at equilibrium and rate constants in inter–conversion processes, Recent Patents on Biotechnology, 9, 2 (2015), 102-107.

S.H. Bauer, Intramolecular conversions, V. Rational rate constants for reversible unimolecular reactions, Int J Chem Kinect 1985, 17(4), 367-380.

W. Rudin, Real and complex analysis. 3rd ed. McGraw-Hill Inc, 1987.

Published
2019-08-30
How to Cite
Olteanu, O. (2019). Increasing Velocity, Determining the Values at Equilibrium and Remarkable Rate Constants in Inter–Conversion Processes Revisited. MathLAB Journal, 3, 153-159. Retrieved from http://purkh.com/index.php/mathlab/article/view/373
Section
Research Articles