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Drug molecule A is nitially loaded in a cylindrical hydrogel with length of 5 mm and radius of 1 mm at an initial concentration, CAO = 5 mM. The cylinder is sealed with an mpermeable membrane except for one end. At t = 0, he device is placed in a large water bath with no drug present (0 mm). Assume: NA + Z=0 Z r = 1mm · Concentration at the hydrogel surface is then kept constant (CAS-0 for t> 0). ► Constant temperature, diffusion coefficient DAB = 1x10-5 cm²/s ► No chemical reactions or bulk flow · Diffusion occurs only through the end of the cylinder. no flux through end or sizes z = 5mm b).. How long will it take for the concentration at the half length of the cylinder (z=L/2) to reach one fifth of its initial value? a). Please provide the governing differential equation for mass transport within the hydrogel (you do not need to solve this) and state at least two relevant boundary conditions at t > 0.

Drug molecule A is nitially loaded in a cylindrical hydrogel with length of 5 mm and radius of 1 mm at an initial concentration, CAO = 5 mM. The cylinder is sealed with an mpermeable membrane except for one end. At t = 0, he device is placed in a large water bath with no drug present (0 mm). Assume: NA + Z=0 Z r = 1mm · Concentration at the hydrogel surface is then kept constant (CAS-0 for t> 0). ► Constant temperature, diffusion coefficient DAB = 1x10-5 cm²/s ► No chemical reactions or bulk flow · Diffusion occurs only through the end of the cylinder. no flux through end or sizes z = 5mm b).. How long will it take for the concentration at the half length of the cylinder (z=L/2) to reach one fifth of its initial value? a). Please provide the governing differential equation for mass transport within the hydrogel (you do not need to solve this) and state at least two relevant boundary conditions at t > 0.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Drug molecule A is nitially loaded in a cylindrical hydrogel with length of CAO = ΝΑ 5 mm and radius of 1 mm at an initial concentration, 5 mM. The cylinder is sealed with an mpermeable membrane except for one end. At t = 0, he device is placed in a large water bath with no drug present (0 mM). Assume: - · z = 0 → Z r = 1mm Concentration at the hydrogel surface is then kept constant (CAS=0 for t > 0). Constant temperature, diffusion coefficient DAB = 1x10-5 cm²/s No chemical reactions or bulk flow Diffusion occurs only through the end of the cylinder. no flux through end or sizes z = 5mm b).. How long will it take for the concentration at the half length of the cylinder (z = L/2) to reach one fifth of its initial value? a). Please provide the governing differential equation for mass transport within the hydrogel (you do not need to solve this) and state at least two relevant boundary conditions at t > 0.
Transcribed Image Text:Drug molecule A is nitially loaded in a cylindrical hydrogel with length of CAO = ΝΑ 5 mm and radius of 1 mm at an initial concentration, 5 mM. The cylinder is sealed with an mpermeable membrane except for one end. At t = 0, he device is placed in a large water bath with no drug present (0 mM). Assume: - · z = 0 → Z r = 1mm Concentration at the hydrogel surface is then kept constant (CAS=0 for t > 0). Constant temperature, diffusion coefficient DAB = 1x10-5 cm²/s No chemical reactions or bulk flow Diffusion occurs only through the end of the cylinder. no flux through end or sizes z = 5mm b).. How long will it take for the concentration at the half length of the cylinder (z = L/2) to reach one fifth of its initial value? a). Please provide the governing differential equation for mass transport within the hydrogel (you do not need to solve this) and state at least two relevant boundary conditions at t > 0.
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