6 - Collection and Analysis of Rate Data

6 - Collection and Analysis of Rate Data - CHE4473 Kinetics...

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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) CA%(mol/%L) 0 2 300 1.6 540 1.35 900 1.1 1320 0.87 1800 0.7 2400 0.53 3600 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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  • Spring '14
  • LanceL.Lobban
  • PBR

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