A wet sphere of gelatin gel at a temperature of 20 "C contains a uniform concentration of urea of 0.05 kg mol/m'. The sphere has a diameter of 16 mm. The sphere is suddenly immersed in turbulent water which initially contains urea of concentration 0.1 kg mol/m'. The diffusion coefficient of the urea in the gelatin gel is 8.59 * 10*" m/s. The convective mass transfer coefficient ke is 1.07375 x 10 m/s and the equilibrium distribution coefficient K is 1. For radial mass transfer only, listing your assumptions, calculate, (a) the concentration at a distance of 4,8 mm from the midpoint of the sphere after 25.87 hours of mass transfer. (b) the time by which the concentration, c, at the centre of the sphere is 0.09975 kg mol/m3

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A wet sphere of gelatin gel at a temperature of 20 "C contains a uniform concentration of urea of 0.05 kg mol/m'. The sphere has a diameter of 16 mm. The sphere is suddenly immersed in turbulent water which initially contains urea of concentration 0.1 kg mol/m'. The diffusion coefficient of the urea in the gelatin gel is 8.59 * 10*" m/s. The convective mass transfer coefficient ke is 1.07375 x 10 m/s and the equilibrium distribution coefficient K is 1. For radial mass transfer only, listing your assumptions, calculate, (a) the concentration at a distance of 4,8 mm from the midpoint of the sphere after 25.87 hours of mass transfer. (b) the time by which the concentration, c, at the centre of the sphere is 0.09975 kg mol/m3

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