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27.12 We are interested in the diffusion of CO₂ gas out of a randomly porous adsorbent material slab of 2.0 cm thickness, as shown in the figure below. Initially, the gas space inside the porous material contains 10% mole CO₂ (A) and 90 mole% air (B). The process is maintained at 25 C and total system pressure of 1.0 atm. At these conditions, the binary molecular diffusion coefficient of CO₂ in air is 0.161 cm²/s, but the effective diffusion coefficient of CO₂ within the porous medium is only 0.010 cm²/s. Fresh air containing no CO₂ blows over the surface of the slab so that the convective mass-transfer coefficient for CO₂ transfer (k) is 0.0025 cm/s. How long will it take for the CO₂ concentration of the gas space inside the porous material to be reduced to only 2.0 mole% CO₂ at a depth of 1.6 cm from the exposed surface of the slab? 1.6 cm Air flow (no CO₂) Boundary layer Exposed surface CAS YAO = 0.10 (CO₂) CAoo Inert surface Porous slab L = 2.0 cm

27.12 We are interested in the diffusion of CO₂ gas out of a randomly porous adsorbent material slab of 2.0 cm thickness, as shown in the figure below. Initially, the gas space inside the porous material contains 10% mole CO₂ (A) and 90 mole% air (B). The process is maintained at 25 C and total system pressure of 1.0 atm. At these conditions, the binary molecular diffusion coefficient of CO₂ in air is 0.161 cm²/s, but the effective diffusion coefficient of CO₂ within the porous medium is only 0.010 cm²/s. Fresh air containing no CO₂ blows over the surface of the slab so that the convective mass-transfer coefficient for CO₂ transfer (k) is 0.0025 cm/s. How long will it take for the CO₂ concentration of the gas space inside the porous material to be reduced to only 2.0 mole% CO₂ at a depth of 1.6 cm from the exposed surface of the slab? 1.6 cm Air flow (no CO₂) Boundary layer Exposed surface CAS YAO = 0.10 (CO₂) CAoo Inert surface Porous slab L = 2.0 cm

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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27.12 We are interested in the diffusion of CO₂ gas out of a randomly porous adsorbent material slab of 2.0 cm thickness, as shown in the figure below. Initially, the gas space inside the porous material contains 10% mole CO₂ (A) and 90 mole% air (B). The process is maintained at 25 C and total system pressure of 1.0 atm. At these conditions, the binary molecular diffusion coefficient of CO₂ in air is 0.161 cm²/s, but the effective diffusion coefficient of CO₂ within the porous medium is only 0.010 cm²/s. Fresh air containing no CO₂ blows over the surface of the slab so that the convective mass-transfer coefficient for CO₂ transfer (ke) is 0.0025 cm/s. How long will it take for the CO₂ concentration of the gas space inside the porous material to be reduced to only 2.0 mole% CO₂ at a depth of 1.6 cm from the exposed surface of the slab? 1.6 cm Air flow (no CO₂) CACO Boundary layer Exposed surface CAS YAO = 0.10 (CO₂) Inert surface Porous slab L = 2.0 cm
Transcribed Image Text:27.12 We are interested in the diffusion of CO₂ gas out of a randomly porous adsorbent material slab of 2.0 cm thickness, as shown in the figure below. Initially, the gas space inside the porous material contains 10% mole CO₂ (A) and 90 mole% air (B). The process is maintained at 25 C and total system pressure of 1.0 atm. At these conditions, the binary molecular diffusion coefficient of CO₂ in air is 0.161 cm²/s, but the effective diffusion coefficient of CO₂ within the porous medium is only 0.010 cm²/s. Fresh air containing no CO₂ blows over the surface of the slab so that the convective mass-transfer coefficient for CO₂ transfer (ke) is 0.0025 cm/s. How long will it take for the CO₂ concentration of the gas space inside the porous material to be reduced to only 2.0 mole% CO₂ at a depth of 1.6 cm from the exposed surface of the slab? 1.6 cm Air flow (no CO₂) CACO Boundary layer Exposed surface CAS YAO = 0.10 (CO₂) Inert surface Porous slab L = 2.0 cm
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