Consider a homogeneous spherical bacterium with a radius of 10 cm. A substance A diffuses into the bacteria and a first-order reaction takes place there. In the steady state, ignoring the term convective transfer; a) Derive the differential equation that gives the change in substance A concentration . b) Solve the differential equation you found in part (a) using the boundary conditions given below. (Reaction rate constant, k=0.8 s-1 and diffusion coefficient, D=0.2 cm2/s) Boundary Conditions; 1: r = 0.01 cm CA = 0 mol/cm3 2: r = 1 cm CA= 10 mol/cm
Consider a homogeneous spherical bacterium with a radius of 10 cm. A substance A diffuses into the bacteria and a first-order reaction takes place there. In the steady state, ignoring the term convective transfer; a) Derive the differential equation that gives the change in substance A concentration . b) Solve the differential equation you found in part (a) using the boundary conditions given below. (Reaction rate constant, k=0.8 s-1 and diffusion coefficient, D=0.2 cm2/s) Boundary Conditions; 1: r = 0.01 cm CA = 0 mol/cm3 2: r = 1 cm CA= 10 mol/cm
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 homogeneous spherical bacterium with a radius of 10 cm. A substance A diffuses into the bacteria and a first-order reaction takes place there. In the steady state, ignoring the term convective transfer;
a) Derive the differential equation that gives the change in substance A concentration .
b) Solve the differential equation you found in part (a) using the boundary conditions given below.
(Reaction rate constant, k=0.8 s-1 and diffusion coefficient, D=0.2 cm2/s)
Boundary Conditions;
1: r = 0.01 cm CA = 0 mol/cm3
2: r = 1 cm CA= 10 mol/cm
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