A small spherical granule is used as a controlled drug capsule of release into the gastrointestinal system. In particular, a bead measuring 0.1 cm in diameter has an initial uniform concentration of 0.2 mmol/L of drug griseofulvin (species A). Determine the time it will take for the concentration of the griseofulvin in the center of the granule to reach 10% of its value. The diffusivity of griseofulvin in the granule material is 1.5x10-7 cm2 /s. After releasing the granule, the drug is immediately consumed so that the surface concentration is essentially zero.

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 small spherical granule is used as a controlled drug capsule of release into the gastrointestinal system. In particular, a bead measuring 0.1 cm in diameter has an initial uniform concentration of 0.2 mmol/L of drug griseofulvin (species A). Determine the time it will take for the concentration of the griseofulvin in the center of the granule to reach 10% of its value. The diffusivity of griseofulvin in the granule material is 1.5x10-7 cm2 /s. After releasing the granule, the drug is immediately consumed so that the surface concentration is essentially zero.

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