A layer of glucose is submerged under a deep layer of water. As the glucose dissolves in the water, the concentration of glucose at the glucose-water interface is maintained constant. Determine the time required for the concentration of glucose in the water 1 cm above the interface to equal 10 % of the surface concentration, assuming convection is negligible and the water is initially free of glucose. The diffusivity of glucose in water at 25 °C is 6.9 x 10-10 m²/s.

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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A layer of glucose is submerged under a deep layer of water. As the glucose dissolves
in the water, the concentration of glucose at the glucose-water interface is maintained
constant. Determine the time required for the concentration of glucose in the water 1
cm above the interface to equal 10 % of the surface concentration, assuming convection
is negligible and the water is initially free of glucose. The diffusivity of glucose in water
at 25 °C is 6.9 x 10-1º m²/s.
Transcribed Image Text:A layer of glucose is submerged under a deep layer of water. As the glucose dissolves in the water, the concentration of glucose at the glucose-water interface is maintained constant. Determine the time required for the concentration of glucose in the water 1 cm above the interface to equal 10 % of the surface concentration, assuming convection is negligible and the water is initially free of glucose. The diffusivity of glucose in water at 25 °C is 6.9 x 10-1º m²/s.
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