An experiment is designed to measure the

Chapter 14, Problem 14.27

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An experiment is designed to measure the partitioncoefficient, K, associated with the transfer of a pharmaceutical product through a polymer material.The partition coefficient is defined as the ratio of thedensities of the species of interest (the pharmaceutical)on either side of an interface. In the experiment, liquidpharmaceutical (?p?1250 kg/m3) is injected into ahollow polymer sphere of inner and outer diametersDi?5 mm and Do?5.1 mm, respectively. The sphereis exposed to convective conditions for which the den-sity of the pharmaceutical at the outer surface is zero.After one week, the spheres mass is reduced byM?8.2 mg. What is the value of the partition coeffi-cient if the mass diffusivity is DAB?0.2?10?11m2/s?

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