Consecutive Irreversible First-order Reactions Research Articles

Use of databases in the kinetic analysis of two parallel first-order reactions

In a previous publication by the author, a kinetic analysis of two consecutive irreversible first-order reactions was carried out in order to estimate values of the two rate constants k 1 and k 2. The procedure employed involved the use of the database paradox 3 which contained a powerful script language called pal. A computer run was performed utilizing an algorithm based on a derived expression, and which involved an iteration method. The k values obtained were in satisfactory agreement with both theoretical and experimental values. The aim of this paper is now to extend the preceding to a kinetic analysis of two parallel irreversible first-order reactions, each yielding a common product. Again, a pal script was employed along with a somewhat modified algorithm. The k values are in satisfactory agreement with theoretical and with experimental data, where available.

Use of databases in thermal analysis. Part 5

A mathematical expression was previously derived for the concurrent determination of two rate constants, k 1 and k 2, for two consecutive irreversible first-order reactions. This expression required the measurement of slopes in order to ascertain the required reaction rates. In this paper, a relational database manager (DB) was employed to estimate values of the two rate constants using this expression. For this purpose, a computer algorithm was developed using the Paradox 3 DB which possesses a powerful script language ( pal). Database analyses were carried out using both theoretical and experimental data. The pal script employed is described and the resulting k 1 and k 2 values are compared with the assumed and reported values.

Singular points in the problem of steady-state multiplicity for the stirred tank with consecutive reactions

The problem of steady-state multiplicity for a nonadiabatic stirred tank with two consecutive irreversible first-order chemical reactions is reformulated. Analytical expressions for star, wigwam and lower-order singular points of the steady-state balance equations of the reactor have been derived. The multistage procedure of Balakotaiah and Luss ( Chem. Engng Sci. 39, 1984) for the systematic construction of loci of singular points has been employed to find in the parameter space a region of seven steady states of the reactor. The results of the numerical computation display the existence of such a region in an extremely small domain of the parameter space. Hence, the successful experimental search for this steady-state pattern in real systems seems doubtful. A similar conclusion may also be expected with respect to other multireaction lumped-parameter systems.

Computer-determined kinetic parameters from tg curves. Part XXI

The utilization of thermogravimetry should allow an estimate of the extent of reaction for consecutive equations such as ▪ based on the amount of gas liberated. An expression was developed for the concurrent determination of the rate constants, k 1 and k 2, for the above two consecutive irreversible first-order reactions, which required the measurement of reaction rates (slopes). Then a computer algorithm was presented to implement this expression. This algorithm involved a modification of an algorithm previously reported by the authors, and was tested for the cases of theoretical and experimental data. Values of k 1 and k 2 obtained for these cases are compared with assumed and previously reported values.

Application of simplified complementary tristimulus colorimetry to chemical kinetics in solution—II Determination of rate constants of consecutive irreversible first-order reactions

A simple but highly reproducible method based on simplified complementary tristimulus colorimetry is proposed for determination of the rate constants of two consecutive irreversible first-order reactions. For the binary system the complementary colour points can be calculated in the same manner as in conventional tristimulus colorimetry. Hence the mole fractions of the three reacting species can be calculated as a function of time. Application of the method is illustrated by the assay of xanthine oxidase with hypoxanthine.

A general treatment for the kinetics of two consecutive irreversible first-order reactions. Determination of rate constants for the tin(II)-ion catalysed esterification of alkali metal carboxybenzenesulphonates with ethylene glycol

A general treatment for the kinetics of two consecutive irreversible first-order reactions. Determination of rate constants for the tin(II)-ion catalysed esterification of alkali metal carboxybenzenesulphonates with ethylene glycol