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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Condsider the timed drug-release pill illustrated below.

The pill is ingested into the stomach. The pill is a slab, 0.36 cm per side, that has an array of 16 cylindrical pores in it. Each pore is 0.4 mm in diameter and 2.0 mm deep. Pure solid drug A is loaded into each pore to a depth of 1.2 mm, which provides a total initial drug loading of 2.65 mg in all of the pores. The density of the solid drug A is 1:10 g/cm3. The drug dissolves into the fluid inside the stomach, which approximates the properties of water (component B). The maximum solubility of drug A in water is 2:0 × 10-4g mol/cm3 (i.e., not very soluble) and the diffusion coefficient of the drug is 2:0 × 10-5 cm2/s at body temperature of 37°C. The molecular weight of the drug is 120 g/mol.
a. Starting with the general differential equation for mass transfer and Fick’s flux equation, develop a simple model, in final integrated form, for predicting the flux of the drug from one pore. You may assume that the diffusion process is pseudo-steady state, the stomach fluid serves as an infinite sink for the drug so that cA = 0, and the drug does not chemically degrade inside the pore.
b. From your model, determine the total transfer rate of the drug from the whole pill, WA, to the body when each 0.2 cm pore is filled to a depth of 0.12 cm with solid drug.
c. How many hours will it take for all of the drug to be released?
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