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