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By J. F. Le Page

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F(x0 - x)] vs. , x0 and x are concentrations at equilibrium, time zero and for the run, respectively. The slopes of the two straight lines from these plots then give the constant k 1 bC, fx. for both n-pentane and isopentane from a f1rst"order reaction rate equation: log x. --- Xo - X kl p = - be� c, lJ X0 The straight-line plots in Fig. 6c then gi ve the specific reaction rates as a function of conversion, since the rates are equal at x •. 6) At equilibrium, the two rates are equal; and one thus has: or �A = Ca = K kbA CA where the equilibrium constant, K, is equal to the ratio of the reactivities of the direct and reverse reactions.

1 6 . 10 mol . 09 � = 7 = 5 . 4 �. 8 . o. 1 6 . 1 0 This high value for modified Thiele module corresponds t o intergranular diffusional limitations. • • = 4. Determining '1 : From the above data and calculated results, values for the energy of activation, y, and heat flow, {1, can be calculated as: E ch � . T RT Figure 2. 17, in which 1' 30, can be used to estimate. 7 for the effectiveness factor 'I · Jl = = 46 KINETICS OF CHEM ICAL REACTIONS IN HETEROGENEOUS CATALYSIS 2 Instead of the foregoing procedure, it is usually advisable to perform the following experiment based on the proportionality of the Thiele module to the dimension of the catalyst granule.

1 0 - 3 (cm 2 • s - 1). (c) Calculating Ch, the concentration of ethanol: For 10% conversion, the concentration of ethanol can be assumed as the arithmetic average between reactor inlet and outlet, or a 5% conversion, so that the average mixture contains 95 mol of ethanol per 105 mol of water, ethylene and ethanol: 1 273 95 -4 Ch = = 0. 1 6 . 10 mol . 09 � = 7 = 5 . 4 �. 8 . o. 1 6 . 1 0 This high value for modified Thiele module corresponds t o intergranular diffusional limitations. • • = 4. Determining '1 : From the above data and calculated results, values for the energy of activation, y, and heat flow, {1, can be calculated as: E ch � .

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