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PDF - Institut national polytechnique de Toulouse

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2.3 Kinetics<br />

The term kinetics <strong>de</strong>rives from the ancient greek (η κινησις, action of moving or moving<br />

oneself, movement, change). Used in the mo<strong>de</strong>rn chemistry language, it <strong>de</strong>signates the<br />

study of the reaction rate of chemical or enzymatic reactions.<br />

Chemistry and kinetics of the thermal <strong>de</strong>gradation of hydrocarbons is important in<br />

several different domains of process and environmental engineering. These are e.g.<br />

geochemistry, conversion of petroleum, coal, and biomass to liquid fuels, cracking<br />

processes, and recycling of polymers.<br />

The kinetics of polymer <strong>de</strong>composition can be studied in or<strong>de</strong>r to <strong>de</strong>termine the<br />

appropriate conditions for hin<strong>de</strong>ring or limiting the evolution of toxic compounds and<br />

recuperation of raw materials from the thermal treatment of plastic wastes.<br />

The principal objectives common to the majority of kinetic studies are the<br />

<strong>de</strong>termination of the rate equation, i.e. the <strong>de</strong>scription of the extent of conversion of<br />

reactant(s) or formation of product(s) with time, and the assessment of the influence of<br />

temperature on the rate of reaction.<br />

The rate of conversion, dα/dτ, is usually assumed to be a linear function of a single<br />

temperature-<strong>de</strong>pen<strong>de</strong>nt rate constant, k, and a temperature-in<strong>de</strong>pen<strong>de</strong>nt function of the<br />

conversion, α, i.e., dα/dτ = k.f(α).<br />

The quantitative representation of the rate-temperature <strong>de</strong>pen<strong>de</strong>nce of k has been<br />

almost universally expressed by the Arrhenius equation, k = A.exp(-E a /RT), where A is<br />

the “frequency factor” (usually assumed to be in<strong>de</strong>pen<strong>de</strong>nt of temperature), E a is the<br />

activation energy, and R is the i<strong>de</strong>al gas constant.<br />

Values of the Arrhenius equation, or else the Arrhenius parameters E a , the activation<br />

energy, and A (called also the “pre-exponential factor”) <strong>de</strong>scribe quantitatively the<br />

energy barrier to reaction and the frequency of occurrence of the situation that may lead<br />

to product formation, respectively. As such, these parameters facilitate the concise<br />

reporting of kinetic data, and the comparison of different systems from the point of view<br />

of their chemical reactivities. Moreover, they can be used to forecast behaviour at<br />

temperatures outsi<strong>de</strong> the intervals of different conditions of the experimental<br />

measurements.<br />

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