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increase in value? (1) ke Select all that apply, and justify your choice for each. (2) CA at outlet (3) NA (e) If the volumetric flowrate Vo is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each (1) ke (2) CA at outlet (3) NA

increase in value? (1) ke Select all that apply, and justify your choice for each. (2) CA at outlet (3) NA (e) If the volumetric flowrate Vo is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each (1) ke (2) CA at outlet (3) NA

Introduction to Chemical Engineering Thermodynamics
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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The spinning disk mass transfer performance is described by the Levich correlation, given by @d² Sh = 0.62 Re¹/2 Sc¹/3 with Re= V The "characteristic length" for the spinning disk is its diameter, d. The angular rotation rate o is defined as radians/time. There are 2 radians in one revolution (rev). V₁ = = 20 cm³/sec YA,O = 0.05 Ув,0 = 0.0 Yc,o= 0.95 CAO 600 K, 2.0 atm well mixed gas rotating disk (d = 10 cm) Figure 30-4E. Spinning disk reactor. (radian/sec) 2л (rev/sec) V₁ = 20 cm³/sec CA = ? А A B CA I love CA 0 catalytic surface boundary layer
Transcribed Image Text:The spinning disk mass transfer performance is described by the Levich correlation, given by @d² Sh = 0.62 Re¹/2 Sc¹/3 with Re= V The "characteristic length" for the spinning disk is its diameter, d. The angular rotation rate o is defined as radians/time. There are 2 radians in one revolution (rev). V₁ = = 20 cm³/sec YA,O = 0.05 Ув,0 = 0.0 Yc,o= 0.95 CAO 600 K, 2.0 atm well mixed gas rotating disk (d = 10 cm) Figure 30-4E. Spinning disk reactor. (radian/sec) 2л (rev/sec) V₁ = 20 cm³/sec CA = ? А A B CA I love CA 0 catalytic surface boundary layer
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 cm²/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, co, 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. (d) If the rotation rate (o) of the disk is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each. (1) ke (2) CA at outlet (3) NA (e) If the volumetric flowrate Vo is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each (1) ke (2) CA at outlet (3) NA
Transcribed Image Text: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 cm²/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, co, 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. (d) If the rotation rate (o) of the disk is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each. (1) ke (2) CA at outlet (3) NA (e) If the volumetric flowrate Vo is increased, which of the following process variables will also increase in value? Select all that apply, and justify your choice for each (1) ke (2) CA at outlet (3) NA
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