In our derivation for mass transfer outwards from a sphere with drug embedded in it, what was the condition (boundary condition) at the bondary of z = infinity? Concentration ANS:________?

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
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In our derivation for mass transfer outwards from a sphere with drug embedded in it, what was the condition (boundary condition) at the bondary of z = infinity? Concentration ANS:________?

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Step 1

In this case the drug is diffusing outwards and air is not diffusing inwards and hence is a case of diffusion of a component A through non-diffusing component B. A being the drug and B being the air. The concentration of the drug at the surface of the sphere is denoted by CA. W is the constant molar rate of mass transfer and R is the radius of the sphere. The diffusivity of A through B is denoted by DAB. The equation of the process is:

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Step 2

The boundary conditions to solve the equation (1) are:

Chemical Engineering homework question answer, step 2, image 1

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