Precise Determination of Reaction Orders

Kittrell, J. R.; Mezaki, R.; Watson, C. C.

doi:10.1021/ie50677a011

Cited by 25 publications

(23 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The reaction order, r, and the rate constant, kM, in the cracking step were obtained from integration of Eq. (4) by using the approach of Kittrell et al 7), and the value of r, was found to be unity. The rate constants of hydrogenation and of coke formation were evaluated from integration of Eq.…”

Section: Introductionmentioning

confidence: 77%

Kinetics of Methylcyclohexane Cracking over Silica-Alumina Catalyst

Tone

Seko²,

Yokota

et al. 1971

Bull. Japan Petrol. Inst.

View full text Add to dashboard Cite

Summary:For the catalytic cracking of methylcyclohexane in a fixed bed, the product distriperature and one atmosphere pressure over a F. C. C. catalyst consisting of 25.33 weight per cent of alumina. It was observed that the catalyst activity declined as the reaction proceeds. The authors proposed a kinetic model that included cracking, hydrogenation and coke formation steps in the reaction process, and the rate constants were determined by simulation approach utilizing this kinetic model. The rate constants were rearranged in terms of coke content by introducing an activity factor which accounts for catalyst fouling. The calculated values of both the product distribution and the coke content in a fixed bed agreed fairly well with the observed values.

show abstract

Section: Introductionmentioning

confidence: 77%

Kinetics of Methylcyclohexane Cracking over Silica-Alumina Catalyst

Tone

Seko²,

Yokota

et al. 1971

Bull. Japan Petrol. Inst.

View full text Add to dashboard Cite

show abstract

“…In kinetics, one type of reparameterization frequently needed is that associated with the exponential dependence of parameters upon temperature. In particular, a parameter entering many of the hyperbolic models is a rate constant such as * = y exp (-E/RT) (14) Better estimation can generally be achieved if this parameter is defined as k = y' exp ^ (15) where y' = y exp (-E/RT) (16) Now, in an estimation situation, point estimates of parameters E and y' can be obtained more readily than those of E and y using Equation 14. Compared to the direct use of Equation 14, the choice of initial parameter estimates is less critical and the estimation routine converges to the minimum more rapidly.…”

Section: Reparameterization For Surface Conditioningmentioning

confidence: 99%

“…In the determination of a reaction rate model adequately describing a heterogeneous kinetic system, one may desire to specify the functional form of a model describing his reaction system and to estimate precisely the parameters within this model. Many techniques have been developed for determining the preferred functional form of the rate model {14, 15). In this paper, we shall be primarily concerned with the estimation aspects of kinetic modeling rather than these specification aspects.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Parametric Sensitivity in Fitting Nonlinear Kinetic Models

Mezaki¹,

Kittrell²

1967

Ind. Eng. Chem.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The problem of the normal distribution of the response variable i.e. y k and the possibility of outliers has been considered extensively [29,31,321. A suitable method for graphical representation of the normal distribution of data is given by Chambers et al [33].…”

mentioning

confidence: 99%

A general integral method for the determination of empirical reaction rates and parameters

Neuhaus

Maier

1996

Chem Eng & Technol

View full text Add to dashboard Cite

A general procedure for the determination of empirical rates and kinetic parameters of irreversible, constant volume reactions is presented which is clearly superior to the conventional methods of kinetic analysis. By nonlinear regression of the integrated potential rate equation for stoichiometrically independent reactions of nth order, the empirical pre-exponential factor, activation energy, and reaction order are obtained. The regression equation relates explicitly the final concentration of the reference component not only to the time parameter of the reaction but also to the initial concentration. This includes an integral method for the determination of reaction orders in concentration. Two limiting cases are treated -the stoichiometric mixture of reactants and a mixture with one reactant in large excess. By analysis of standard Hougen-Watson rate models the dependence of empirical reaction orders on experimental conditions and simulated rate parameters is evaluated. By grouping the data into ranges of monotonous concentration change, conversion rates and rate parameters of reactions with changing volumes are calculated in a less rigorous deduction. The simplified interpretation of published experimental data is demonstrated for the total oxidation of methane on Pd-catalysts and the dehydrogenation of cyclohexanol on ZnO.

show abstract

Precise Determination of Reaction Orders

Abstract: The most commonly applied model for correlating reaction rate data is the power function rate equation, which requires careful data analysis for estimation of the reaction order. The authors present a method for the analysis of

Cited by 25 publications

References 3 publications

Kinetics of Methylcyclohexane Cracking over Silica-Alumina Catalyst

Kinetics of Methylcyclohexane Cracking over Silica-Alumina Catalyst

Parametric Sensitivity in Fitting Nonlinear Kinetic Models

A general integral method for the determination of empirical reaction rates and parameters

Contact Info

Product

Resources

About