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Consider a two-layer model of an artery. The layers are of thickness Ro - R₁ and R₁ – R₁. The inner layer has the diffusion coefficient D; (1×10-8 cm²/s) and the outer layer has the diffusion coefficient Do (4×10-8 cm²/s). The solute concentration in the lumen (i.e., 0

Consider a two-layer model of an artery. The layers are of thickness Ro - R₁ and R₁ – R₁. The inner layer has the diffusion coefficient D; (1×10-8 cm²/s) and the outer layer has the diffusion coefficient Do (4×10-8 cm²/s). The solute concentration in the lumen (i.e., 0

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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Consider a two-layer model of an artery. The layers are of thickness Ro - R₁ and R₁ – R₁. The inner layer has the diffusion coefficient D; (1×10-8 cm²/s) and the outer layer has the diffusion coefficient Do (4×10-8 cm²/s). The solute concentration in the lumen (i.e., 0<R< R₁) is C=0.2Co and the concentration at Ro is Co. Ro=0.5 cm, R₁=0.4 cm, and R=0.2 cm. a) Derived the expression of concentration profile for layer Ro – R₁ and R1₁ – Rj. b) What is the concentration at R=R1? - c) Derived the expression of effective diffusion coefficient. Calculate the effective diffusion coefficient using the given values. R₁
Transcribed Image Text:Consider a two-layer model of an artery. The layers are of thickness Ro - R₁ and R₁ – R₁. The inner layer has the diffusion coefficient D; (1×10-8 cm²/s) and the outer layer has the diffusion coefficient Do (4×10-8 cm²/s). The solute concentration in the lumen (i.e., 0<R< R₁) is C=0.2Co and the concentration at Ro is Co. Ro=0.5 cm, R₁=0.4 cm, and R=0.2 cm. a) Derived the expression of concentration profile for layer Ro – R₁ and R1₁ – Rj. b) What is the concentration at R=R1? - c) Derived the expression of effective diffusion coefficient. Calculate the effective diffusion coefficient using the given values. R₁
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