Problem 30-4E. The "spinning disk" reactor is often used to carry out chemical reactions under controlled hydrodynamic conditions. Consider the highly-simplified process shown in Figure 30-4E, where one spinning disk is mounted within a chamber equipped a single gas inlet and outlet stream. The surface of the disk is coated with a non-porous catalyst. The catalyst surface catalyzes an instantaneous reaction where gaseous reactant A goes to gaseous product B (A →B on the surface). Since the reaction is presumed instantaneous, the rate process is mass transfer limited, and the concentration of A at the catalyst surface is essentially zero (CAS≈ 0). As the disk spins, a hydrodynamic boundary layer is created between the surface and the bulk gas, and the spinning motion also mixes the bulk gas to create a well-mixed environment within the chamber. The process is carried out at 600 K and 2.0 atm, where 20 cm³/sec of feed gas (also at conditions of 600 K and 2.0 atm) containing 5.0 mole % of reactant A and 95 mole% of inert carrier gas C are delivered to the chamber. The diameter of the disk is 10 cm, and the volume of the chamber is 2000 cm³. Potentially relevant properties for A, B, and C are provided below: Selected properties of gaseous species A, B, and C at T = 600 K and P = 2.0 atm. molecular diffusion coefficient DAC = 0.300 cm²/sec kinematic viscosity VA = 0.520 cm²/sec DBC = 0.235 cm²/sec VB = 0.300 cm2²/sec DAB=0.219 cm²/sec Vc = 0.520 cm²/sec (a) A mass transfer coefficient of ke = 1.345 cm/sec for reactant A in the gas mixture is desired. What is the required spinning disk rotation rate, oo, in units of rev/sec? Is the mass-transfer process for reactant A within the boundary layer best described as a dilute unimolecular diffusion process (UMD) process, or an equimolar counter-diffusion (EMCD) process? Justify your reasoning. (b) Develop a steady-state process material balance model, in fully algebraic form (no numbers), to predict the outlet concentration, CA. (c) Determine the outlet concentration, CA, based on kc = 1.345 cm/sec. If the natation of the dial in i which of the fallami
Problem 30-4E. The "spinning disk" reactor is often used to carry out chemical reactions under controlled hydrodynamic conditions. Consider the highly-simplified process shown in Figure 30-4E, where one spinning disk is mounted within a chamber equipped a single gas inlet and outlet stream. The surface of the disk is coated with a non-porous catalyst. The catalyst surface catalyzes an instantaneous reaction where gaseous reactant A goes to gaseous product B (A →B on the surface). Since the reaction is presumed instantaneous, the rate process is mass transfer limited, and the concentration of A at the catalyst surface is essentially zero (CAS≈ 0). As the disk spins, a hydrodynamic boundary layer is created between the surface and the bulk gas, and the spinning motion also mixes the bulk gas to create a well-mixed environment within the chamber. The process is carried out at 600 K and 2.0 atm, where 20 cm³/sec of feed gas (also at conditions of 600 K and 2.0 atm) containing 5.0 mole % of reactant A and 95 mole% of inert carrier gas C are delivered to the chamber. The diameter of the disk is 10 cm, and the volume of the chamber is 2000 cm³. Potentially relevant properties for A, B, and C are provided below: Selected properties of gaseous species A, B, and C at T = 600 K and P = 2.0 atm. molecular diffusion coefficient DAC = 0.300 cm²/sec kinematic viscosity VA = 0.520 cm²/sec DBC = 0.235 cm²/sec VB = 0.300 cm2²/sec DAB=0.219 cm²/sec Vc = 0.520 cm²/sec (a) A mass transfer coefficient of ke = 1.345 cm/sec for reactant A in the gas mixture is desired. What is the required spinning disk rotation rate, oo, in units of rev/sec? Is the mass-transfer process for reactant A within the boundary layer best described as a dilute unimolecular diffusion process (UMD) process, or an equimolar counter-diffusion (EMCD) process? Justify your reasoning. (b) Develop a steady-state process material balance model, in fully algebraic form (no numbers), to predict the outlet concentration, CA. (c) Determine the outlet concentration, CA, based on kc = 1.345 cm/sec. If the natation of the dial in i which of the fallami
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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