Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
26.2 The spherical gel capsule shown in the figure at the top of the next column is used for long-term, sustained drug release. A saturated liquid solution containing the dissolved drug (solute A) is encapsulated within a rigid gel-like shell. The saturated solution contains a lump of solid A, which keeps the dissolved concentra- tion of A saturated within the liquid core of the capsule. Solute A then diffuses through the gel-like shell (the gel phase) to the surroundings. Eventually, the source for A is depleted, and the amount of solute A within the liquid core goes down with time. However, as long as the lump of solid A exists within the core to keep the source solution saturated in A, the concentration of A within the core is constant. The diffusion coefficient of solute A in the gel phase (B) is DAB = 1.5 × 10-5 cm²/s. The maximum solubility of the drug in the gel capsule material is C = 0.01 gmole A/cm³. a. Starting from the appropriately simplified differential forms of Fick's ux equation and the general differential equation for mass transfer relevant to the physical system of interest, develop the final, analytical, integrated equation to deter- mine the total rate of drug release (WA) from the capsule under conditions where the saturated concentration of A within the liquid core of the capsule remains constant. b. What is the maximum possible rate of drug release from the capsule, in units of gmole A per hour, when CAO~0? Saturated solution of drug (solute A) Surrounding liquid Lump of solid species A Gel capsule shell r = R₁ CA= CAS r = R₂ CA = CAO

26.2 The spherical gel capsule shown in the figure at the top of the next column is used for long-term, sustained drug release. A saturated liquid solution containing the dissolved drug (solute A) is encapsulated within a rigid gel-like shell. The saturated solution contains a lump of solid A, which keeps the dissolved concentra- tion of A saturated within the liquid core of the capsule. Solute A then diffuses through the gel-like shell (the gel phase) to the surroundings. Eventually, the source for A is depleted, and the amount of solute A within the liquid core goes down with time. However, as long as the lump of solid A exists within the core to keep the source solution saturated in A, the concentration of A within the core is constant. The diffusion coefficient of solute A in the gel phase (B) is DAB = 1.5 × 10-5 cm²/s. The maximum solubility of the drug in the gel capsule material is C = 0.01 gmole A/cm³. a. Starting from the appropriately simplified differential forms of Fick's ux equation and the general differential equation for mass transfer relevant to the physical system of interest, develop the final, analytical, integrated equation to deter- mine the total rate of drug release (WA) from the capsule under conditions where the saturated concentration of A within the liquid core of the capsule remains constant. b. What is the maximum possible rate of drug release from the capsule, in units of gmole A per hour, when CAO~0? Saturated solution of drug (solute A) Surrounding liquid Lump of solid species A Gel capsule shell r = R₁ CA= CAS r = R₂ CA = CAO

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
See similar textbooks
icon
Related questions
Question

Ri = 0.20 cm, Ro = 0.35 cm

Please state any assumptions made for the process.

26.2 The spherical gel capsule shown in the figure at the top of the next column is used for long-term, sustained drug release. A saturated liquid solution containing the dissolved drug (solute A) is encapsulated within a rigid gel-like shell. The saturated solution contains a lump of solid A, which keeps the dissolved concentra- tion of A saturated within the liquid core of the capsule. Solute A then diffuses through the gel-like shell (the gel phase) to the surroundings. Eventually, the source for A is depleted, and the amount of solute A within the liquid core goes down with time. However, as long as the lump of solid A exists within the core to keep the source solution saturated in A, the concentration of A within the core is constant. The diffusion coefficient of solute A in the gel phase (B) is DAB = 1.5 × 10-5 cm²/s. The maximum solubility of the drug in the gel capsule material is c = 0.01 gmole A/cm³. a. Starting from the appropriately simplified differential forms of Fick's ux equation and the general differential equation for mass transfer relevant to the physical system of interest, develop the final, analytical, integrated equation to deter- mine the total rate of drug release (WA) from the capsule under conditions where the saturated concentration of A within the liquid core of the capsule remains constant. b. What is the maximum possible rate of drug release from the capsule, in units of gmole A per hour, when CAO~0? Saturated solution of drug (solute A) Surrounding liquid Lump of solid species A Gel capsule shell r = R₁ CA= CAS r = R₂ CA CAO
Transcribed Image Text:26.2 The spherical gel capsule shown in the figure at the top of the next column is used for long-term, sustained drug release. A saturated liquid solution containing the dissolved drug (solute A) is encapsulated within a rigid gel-like shell. The saturated solution contains a lump of solid A, which keeps the dissolved concentra- tion of A saturated within the liquid core of the capsule. Solute A then diffuses through the gel-like shell (the gel phase) to the surroundings. Eventually, the source for A is depleted, and the amount of solute A within the liquid core goes down with time. However, as long as the lump of solid A exists within the core to keep the source solution saturated in A, the concentration of A within the core is constant. The diffusion coefficient of solute A in the gel phase (B) is DAB = 1.5 × 10-5 cm²/s. The maximum solubility of the drug in the gel capsule material is c = 0.01 gmole A/cm³. a. Starting from the appropriately simplified differential forms of Fick's ux equation and the general differential equation for mass transfer relevant to the physical system of interest, develop the final, analytical, integrated equation to deter- mine the total rate of drug release (WA) from the capsule under conditions where the saturated concentration of A within the liquid core of the capsule remains constant. b. What is the maximum possible rate of drug release from the capsule, in units of gmole A per hour, when CAO~0? Saturated solution of drug (solute A) Surrounding liquid Lump of solid species A Gel capsule shell r = R₁ CA= CAS r = R₂ CA CAO
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS