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A study of consecutive competitive reaction systems
Author(s) -
Friedman M. H.,
White R. R.
Publication year - 1962
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690080503
Subject(s) - stoichiometry , mathematics , set (abstract data type) , thermodynamics , differential equation , reaction rate constant , reaction rate , experimental data , kinetic energy , mathematical analysis , rate equation , chemistry , statistics , physics , kinetics , computer science , classical mechanics , biochemistry , programming language , catalysis
Experimental kinetic data are most conveniently correlated by the integrated form of the differential rate equations which the reactions are presumed to obey. A new method of obtaining an approximate integral solution of the differential equations is described and applied to a set of three consecutive competitive reactions. The approximate integral solution is used to correlate experimental data on systems whose stoichiometry would indicate a consecutivecompetitive mechanism. The compositions of the reaction mixes are predicted with a standard error of estimate of less than 4% of the original concentration of the initiating reactant, in most cases less than 2%. The estimates of the rate constants, found by fitting the approximate solution to the data, are within experimental error of the values obtained by differentiation of the published results.