Unformatted text preview: CHE4473 Kinetics Spring 2015 Homework N°6: Collection and Analysis of Rate Data Due Tuesday FEB 24th 2015 IMPORTANT: You must include copies of the graphs of all the numerical solutions (not the whole spreadsheet, please !). 1. The following data was obtained in a batch reactor operating in the liquid phase at constant volume to carry out the reaction A è R. time%(sec)
0.35 based on these data, obtain the numerical parameters for the rate law (k and n), using the three following methods a) Differential method, using a polynomial fitting of the C vs t data. b) Integral method assuming an either integer or half-‐integer value of n close to that suggested by the differential method approach c) Numerical integration of the C Vs. t with adjustable k and n values, combined with a non-‐linear regression to minimize the difference between the experimental and calculated values of CA. 2. The table below shows reaction rate data obtained in a differential flow reactor for the thermal decomposition of an organic compound (A è B + C). From the analysis of these data determine all the necessary kinetic parameters (A, E, n) to develop the following rate law -‐ rA = A e-‐E/RT CAn run T (K) CA(mol/L) (-‐rA) mol/L.s 1 700 0.2 1.25E-‐03 2 750 0.02 3.24E-‐04 3 800 0.05 1.86E-‐03 4 850 0.08 6.22E-‐03 5 900 0.1 1.49E-‐02 6 950 0.06 1.61E-‐02 7 1000 0.003 1.36E-‐03 8 1000 0.02 9.08E-‐03 3. The data below was obtained in a packed bed reactor (PBR) and shows the evolution of concentrations (in mol/L) of A, B, and C along the catalyst bed. The reaction that takes place on this catalyst in the liquid phase is A + 2 B è C, which has been proposed to obey a complex rate law, as follows 1 −! = (1+ 2 ) The reaction takes place isothermally and without change in density. Derive the design equation for a PBR and use numerical fitting of the data with the proposed rate law to obtain the kinetic parameters k1, k2, and n. W/FA0 (Kgcat-‐h/mol) CA CB CC 1 92 83 8 2 86 72 14 3 82 64 18 4 79 58 21 5 77 53 23 6 75 49 25 4. The data below was obtained in a batch reactor for the reaction of sulfuric acid with diethylsulfate in aqueous solution at 23 C: Initial concentrations of H2S04 and (C2H5)SO4 are each 5.5 mol/liter. Find a rate equation for this reaction. Discuss what additional experiments will be needed to improve the applicability of this equation. ...
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