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[3] The liquid phase reaction A+B C + D is catalyzed by a solid catalyst in a parallel-tube PBR (see diagram). Since this is a highly exothermic reaction (AHR = - 35.1 kcal/mol) and the temperature must be kept below 500 K, the reactor is composed of narrow parallel tubes filled with catalyst embedded in an external cooling system (U.alp = 278 cal/sec Kgeat K and T. = 350 K, constant). The apparent bed density inside each tube is 1.3 Leadem The rate of this surface-catalyzed reaction is given by the Langmuir-Hinshelwood expression rak KACAK,Cg/(1+KACx+KxCu+KcCc+KCD) with k = 6.7x10%-13.500RT) mol/Kgcat sec with Ese in cal/mol. The adsorption constants for A, B, C, and Dat 300 K are 1.4, 1.5, 2.4, and 3.1 (L/mol), respectively, while the corresponding heats of adsorption are 6.3, 6.25, 9.5, and 9.3 kcal/mol, respectively. Note that adsorption is exothermic, so adsorption enthalpy changes are negative. The feed is a liquid mixture of A and B (CA= 10 mol/L; Cso = 12 mol/L) at 350 K, entering each tube of the reactor at a volumetric flow rate of 10 L/sec. The Cp of the reactants (A and B) is 32 cal/mol K and that of the products (C and D) is 45 cal/mol K. (a) Calculate and plot the temperature profile inside each single tube (diameter = 9 cm, length=17 m) and verify whether the temperature is kept below the acceptable maximum 500 K (b) Calculate and plot the concentration profiles of A, B, C, and D along the length of the tube. (c) Calculate the coverage of A, B, C, and D over the catalyst surface as a function of tube length. Discuss the observed variations of coverage in terms of the changes in concentration and temperature that take place along the tube. [3] The liquid phase reaction A+B C + D is catalyzed by a solid catalyst in a parallel-tube PBR (see diagram). Since this is a highly exothermic reaction (AHR = - 35.1 kcal/mol) and the temperature must be kept below 500 K, the reactor is composed of narrow parallel tubes filled with catalyst embedded in an external cooling system (U.alp = 278 cal/sec Kgeat K and T. = 350 K, constant). The apparent bed density inside each tube is 1.3 Leadem The rate of this surface-catalyzed reaction is given by the Langmuir-Hinshelwood expression rak KACAK,Cg/(1+KACx+KxCu+KcCc+KCD) with k = 6.7x10%-13.500RT) mol/Kgcat sec with Ese in cal/mol. The adsorption constants for A, B, C, and Dat 300 K are 1.4, 1.5, 2.4, and 3.1 (L/mol), respectively, while the corresponding heats of adsorption are 6.3, 6.25, 9.5, and 9.3 kcal/mol, respectively. Note that adsorption is exothermic, so adsorption enthalpy changes are negative. The feed is a liquid mixture of A and B (CA= 10 mol/L; Cso = 12 mol/L) at 350 K, entering each tube of the reactor at a volumetric flow rate of 10 L/sec. The Cp of the reactants (A and B) is 32 cal/mol K and that of the products (C and D) is 45 cal/mol K. (a) Calculate and plot the temperature profile inside each single tube (diameter = 9 cm, length=17 m) and verify whether the temperature is kept below the acceptable maximum 500 K (b) Calculate and plot the concentration profiles of A, B, C, and D along the length of the tube. (c) Calculate the coverage of A, B, C, and D over the catalyst surface as a function of tube length. Discuss the observed variations of coverage in terms of the changes in concentration and temperature that take place along the tube