A biodegradable polymer sphere with a radius of R erodes in water slowly and the erosion happens on the surface. The concentration of the polymer in the undissolved state is constant of Cp and in the solution is Cps(r). At the polymer surface Cps(r=R) = Φp Cp, where Φp is the polymer partition coefficient in water. Far from the sphere, the polymer concentration is 0. Assume the concentration in the bulk is in the steady state. The polymer diffusion coefficient in water D = 2x10-6 cm2/s, Cp = 1x10-8 mol/cm-3, Φp = 0.01, R0 = 2.2mm. Find out how many days it takes the polymer to dissolve completely
A biodegradable polymer sphere with a radius of R erodes in water slowly and the erosion happens on the surface. The concentration of the polymer in the undissolved state is constant of Cp and in the solution is Cps(r). At the polymer surface Cps(r=R) = Φp Cp, where Φp is the polymer partition coefficient in water. Far from the sphere, the polymer concentration is 0. Assume the concentration in the bulk is in the steady state. The polymer diffusion coefficient in water D = 2x10-6 cm2/s, Cp = 1x10-8 mol/cm-3, Φp = 0.01, R0 = 2.2mm. Find out how many days it takes the polymer to dissolve completely
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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A biodegradable polymer sphere with a radius of R erodes in water slowly and the erosion happens on the surface. The concentration of the polymer in the undissolved state is constant of Cp and in the solution is Cps(r). At the polymer surface Cps(r=R) = Φp Cp, where Φp is the polymer partition coefficient in water. Far from the sphere, the polymer concentration is 0. Assume the concentration in the bulk is in the steady state. The polymer diffusion coefficient in water D = 2x10-6 cm2/s, Cp = 1x10-8 mol/cm-3, Φp = 0.01, R0 = 2.2mm. Find out how many days it takes the polymer to dissolve completely.
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