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Nevertheless, the distribution of residence times Collecting Data Under Isothermal Operation 25 is such that the defined space time is correct for treating kinetic data obtained in a CSTR as long as appropriate corrections are made to the concentration terms. These difficulties with the definition of reaction time lead to frequency factors that are difficult to predict or reconcile with physical realities on the basis of fundamental concepts that will be discussed in Chapter 9. The only solution is therefore to make sure that the definition of space time is clearly reported and that the units used can be changed by the reader to other units using clearly understood conversion factors.

Rates of disappearance of reactants are written with a minus sign by convention. CA is the concentration of the reactant A. CB is the concentration of the reactant B. k is the rate constant. The rate constant itself has a structure and consists of a pre-exponential term and the activation energy term as per the Arrhenius equation: k = A exp(-E/RT) where A E T R is the frequency factor is the activation energy is the absolute temperature of the reaction is the ideal gas constant in units that make the exponent dimensionless.

The units in the exponential must be such that the exponent is dimensionless. They depend therefore on the absolute temperature and the units of R. Comparison of kinetic parameters between studies is therefore critically dependent on the reporting of well defined units used in making rate, time and concentration measurements. For the fitting itself we begin by forming the (X, r, T) triplets. Rate expressions contain only these three variables, although more than one conversion X (or its corresponding concentration) may be involved in a single rate expression, as is the case in an elementary bimolecular reaction.

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