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Consider steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=ro*(1+x/L). ro = 1mm, L=1cm. Use Fick's law, find the steady state flux at x=L/2, given the following boundary conditions: x=0 Cx= Co = 3.9 M x=L Cx= CL = 1.5 M The diffusion coefficient D = 2.4x10-6 m2/s. You can assume the concentration only varies in the funnel axial direction (x direction) and does not change in the radial or angular direction. Your answer should have a unit of mole/(m? s) and you only need to enter the numerical value in the box below

Consider steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=ro*(1+x/L). ro = 1mm, L=1cm. Use Fick's law, find the steady state flux at x=L/2, given the following boundary conditions: x=0 Cx= Co = 3.9 M x=L Cx= CL = 1.5 M The diffusion coefficient D = 2.4x10-6 m2/s. You can assume the concentration only varies in the funnel axial direction (x direction) and does not change in the radial or angular direction. Your answer should have a unit of mole/(m? s) and you only need to enter the numerical value in the box below

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 steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=ro*(1+x/L). ro = 1mm, L=1cm. Use Fick's law, find the steady state flux at x=L/2, given the following boundary conditions: X=0 Cx= Co = 3.9 M x=L Cx= CL = 1.5 M The diffusion coefficient D = 2.4x10-6 m?/s. You can assume the concentration only varies in the funnel axial direction (x direction) and does not change in the radial or angular direction. Your answer should have a unit of mole/(m? s) and you only need to enter the numerical value in the box below
Transcribed Image Text:Consider steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=ro*(1+x/L). ro = 1mm, L=1cm. Use Fick's law, find the steady state flux at x=L/2, given the following boundary conditions: X=0 Cx= Co = 3.9 M x=L Cx= CL = 1.5 M The diffusion coefficient D = 2.4x10-6 m?/s. You can assume the concentration only varies in the funnel axial direction (x direction) and does not change in the radial or angular direction. Your answer should have a unit of mole/(m? s) and you only need to enter the numerical value in the box below
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