Probabilistic derivation of the kinetic rate equations

Lee, Tieh-Sheng; Kuffner, Roy J.

doi:10.1021/ed045p430

J. Chem. Educ.

1968

DOI: 10.1021/ed045p430

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Probabilistic derivation of the kinetic rate equations

Tieh-Sheng Lee¹,

Roy J. Kuffner²

Abstract: The use of the probabilistic approach is readily applicable to reaction kinetics if one considers the probability of the survival of the reactant molecule instead of the survival of a radioactive nucleus.

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Limitations in Studying the Kinetics of Fabric Detergency

Schott

1976

Textile Research Journal

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The simplest expressions for the rate of removal of particulate soil from fabrics, including those for first-order kinetics, are described. Two factors militate against obtaining proportionality constants between a time function and a residual soil function which remain constant for long washing times, namely: redeposition, and heterogeneities in soil and fabric. Soil redeposition tends to lower the observed soil-removal rate. This effect can be eliminated by suitable experimental procedures. However, the inhomogeneities inherent in fabrics (fiber surface irregularities, variation in spaces between fibers and yarns) cause them to have sorption sites with a broad range of soil binding strengths. Variations in the size and shape of particles on artificial test fabrics and, for natural soil, in chemical composition as well, cause the particles to adhere to fabric substrates with bonds of different strengths. These heterogeneities produce a broad range of specific soil-removal rates whose values depend on the energies of adhesion of the particle-fabric complex. The most loosely held soil, with the highest removal rate constants, is washed off early so that the soil remaining on the fabric becomes progressively richer in the most tightly bound soil, with the smallest removal rate constants. Hence the average or observed rate constant for soil removal decreases during the washing process.

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Limitations in Studying the Kinetics of Fabric Detergency

Schott

1976

Textile Research Journal

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Kinetic Rate Equations in Integrated form for Single-Step Reactions Involving Different Types of Reactant

Ray

Mandal

2008

Progress in Reaction Kinetics and Mechanism

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A method has been developed to obtain kinetic rate equations in integrated form for reactions involving two or three different types of reactant with different stoichiometries. The integrated rate equation of a reaction of desired order has been shown to be generated in a stepwise manner with the help of the integrated rate law(s) of lower order(s) by this procedure. The beauty of this procedure is that it is devoid of complicated integrations. This method has a particular mathematical importance, in that it can be used to solve first-order differential equations that involve different terms, each of which is associated with some arbitrary power.

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Probabilistic derivation of the kinetic rate equations

Abstract: The use of the probabilistic approach is readily applicable to reaction kinetics if one considers the probability of the survival of the reactant molecule instead of the survival of a radioactive nucleus.

Cited by 2 publications

References 0 publications

Limitations in Studying the Kinetics of Fabric Detergency

Limitations in Studying the Kinetics of Fabric Detergency

Kinetic Rate Equations in Integrated form for Single-Step Reactions Involving Different Types of Reactant

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