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Consider a solid sphere, of radius R., which is placed in a large body of unstirred, aqueous solution, as shown in Figure 1. The dissolution of the solid A, is slow enough that quasi-steady-state can be assumed. Given the solubility of A in the solution is CA* at the surface of the sphere and assume there is a bulk diffusion in the solution (i.e. the term yA(NA+Nu) is not zero). 1.) Derive an expression for the concentration distribution of A in the solution; and 2.) develop a mathematical relationship for molar flow rate of A, entering the solution at the surface of the sphere. FLUID SOLID 'A' &r Rs

Consider a solid sphere, of radius R., which is placed in a large body of unstirred, aqueous solution, as shown in Figure 1. The dissolution of the solid A, is slow enough that quasi-steady-state can be assumed. Given the solubility of A in the solution is CA* at the surface of the sphere and assume there is a bulk diffusion in the solution (i.e. the term yA(NA+Nu) is not zero). 1.) Derive an expression for the concentration distribution of A in the solution; and 2.) develop a mathematical relationship for molar flow rate of A, entering the solution at the surface of the sphere. FLUID SOLID 'A' &r Rs

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 solid sphere, of radius R, which is placed in a large body of unstirred, aqueous solution, as shown in Figure 1. The dissolution of the solid A, is slow enough that quasi-steady-state can be assumed. Given the solubility of A in the solution is CA* at the surface of the sphere and assume there is a bulk diffusion in the solution (i.e. the term yA(NA+Nu) is not zero). 1.) Derive an expression for the concentration distribution of A in the solution; and 2.) develop a mathematical relationship for molar flow rate of A, entering the solution at the surface of the sphere. FLUID SOLID 'A' &r Rs
Transcribed Image Text:Consider a solid sphere, of radius R, which is placed in a large body of unstirred, aqueous solution, as shown in Figure 1. The dissolution of the solid A, is slow enough that quasi-steady-state can be assumed. Given the solubility of A in the solution is CA* at the surface of the sphere and assume there is a bulk diffusion in the solution (i.e. the term yA(NA+Nu) is not zero). 1.) Derive an expression for the concentration distribution of A in the solution; and 2.) develop a mathematical relationship for molar flow rate of A, entering the solution at the surface of the sphere. FLUID SOLID 'A' &r Rs
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