A spherical gel capsule of 0.50 cm diameter is used a drug delivery device. Initially, there is

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A spherical gel capsule of 0.50 cm diameter is used a drug delivery device. Initially, there is a total drug amount 0.005 mmole uniformly loaded into the gel material. The capsule is ingested, and within the gastrointestinal tract, the bulk con cent-ration of the drug A within the gastrointestinal fluid is equal to zero. However, there is a finite convective film mass transfer resistance in the mass-transfer process, and the convective mass- transfer coefficient for drug A around the surface of the sphere is equal to 5.0 × 10-5 cm/s. At 37°C, the effective diffusion coefficient of drug within the gel is 3.0 × 10-6 cm2/s, whereas the molecular diffusion coefficient of the drug in the gastro intestinal fluid is 1.5 × 10-5 cm2/s.

a. What is the mass-transfer Biot number for the process? The Biot number (Bi) is the inverse of m in the concentration time charts. 

b. What is the molar concentration of drug A in the center of the capsule after 2.3 hours?

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Fundamentals Of Momentum Heat And Mass Transfer

ISBN: 9781118947463

6th Edition

Authors: James Welty, Gregory L. Rorrer, David G. Foster

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