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Question 3 (18 marks) The following equations describe a dynamic model for adsorptive reactors. The component material balances for the packed adsorptive reactor can be described , at ac (C) 1-6 D 09. + Post Pan COR Equation 1 cz E at where i = 1....Nc gas components, z and t are the axial and temporal co-ordinates respectively. C is the gas-phase molar concentration of component i (mol/m). Pay is the adsorbent density (kg/m).q is the solid-phase concentration of adsorbate i (mol/kg), v is interstitial gas velocity (m/s). D. is the axial dispersion coefficient (m/s), R, is the reaction rate for component i in the reaction j. The overall mass balance equation, which gives the variation of fluid velocity through the column, takes the form: ca NC NR ac al OCV Oz + Pou, ar NC - P RT The energy balance for the reactor, including the heat-transfer to the column wall, is described as (Rawadich and Gomes, 2009: Ding and Alpay, 2000a; Xiu et al., 2002b): air ar (6,C.C.. +PC =k - -C.Chylaz + Put AH ca. at = P. (214, R)-(T-1 2.1 d. where Ki is the effective thermal conductivity. (I/ms K). C is the total molar concentration in the bulk phase (mol/m'). Che is the gas-phase heat capacity (J/mol.K). Cp is the solid-phase heat capacity, (J/kg.K), U is the overall bed-wall heat-transfer coefficient, (Jn".K), Alats, is the adsorption heat of component i (on the adsorbent surface). (J/mol). AHR, reaction heat of reaction j. (I/mol), and T. is the wall temperature. (K). Diffusion-controlled kinetics may be satisfactorily approximated as. da kq -4) 2021/11/29 Answer the following questions: a) Is this an isothermal or non-isothermal model? Why? b) Is this a dimensionless model? Why