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7) A slab of cells in a hydrogel slab is covered in a layer of growth medium, 4mm thick (d) and sits in an incubator at 37°C. The gel was chemically cross-linked and still contains a residual dilute amount of non toxic volatile liquid (A), dilute, but enough to maintain a constant supply of A to the quiescent (not moving) layer of medium (B). At the exit of the gel the concentration of A is 0.1 mol/m3 and this drops to 0.02 mol/m at the top of the liquid layer, as A diffuses through the medium, to escape into the air 4 mm above. DAB = 7.82 x 10“ cm²/s. a) What is the molar flux of A through the growth medium in mol/m²s? b) Determine the concentration profile throughout the growth medium as a function of position z

7) A slab of cells in a hydrogel slab is covered in a layer of growth medium, 4mm thick (d) and sits in an incubator at 37°C. The gel was chemically cross-linked and still contains a residual dilute amount of non toxic volatile liquid (A), dilute, but enough to maintain a constant supply of A to the quiescent (not moving) layer of medium (B). At the exit of the gel the concentration of A is 0.1 mol/m3 and this drops to 0.02 mol/m at the top of the liquid layer, as A diffuses through the medium, to escape into the air 4 mm above. DAB = 7.82 x 10“ cm²/s. a) What is the molar flux of A through the growth medium in mol/m²s? b) Determine the concentration profile throughout the growth medium as a function of position z

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
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7) A slab of cells in a hydrogel slab is covered in a layer of growth medium, 4mm thick (d) and sits in an incubator at 37°C. The gel was chemically cross-linked and still contains a residual dilute amount of non toxic volatile liquid (A), dilute, but enough to maintain a constant supply of A to the quiescent (not moving) layer of medium (B). At the exit of the gel the concentration of A is 0.1 mol/m' and this drops to 0.02 mol/m at the top of the liquid layer, as A diffuses through the medium, to escape into the air 4 mm above. DAB = 7.82 x 10“ cm²/s. a) What is the molar flux of A through the growth medium in mol/m's? b) Determine the concentration profile throughout the growth medium as a function of position z
Transcribed Image Text:7) A slab of cells in a hydrogel slab is covered in a layer of growth medium, 4mm thick (d) and sits in an incubator at 37°C. The gel was chemically cross-linked and still contains a residual dilute amount of non toxic volatile liquid (A), dilute, but enough to maintain a constant supply of A to the quiescent (not moving) layer of medium (B). At the exit of the gel the concentration of A is 0.1 mol/m' and this drops to 0.02 mol/m at the top of the liquid layer, as A diffuses through the medium, to escape into the air 4 mm above. DAB = 7.82 x 10“ cm²/s. a) What is the molar flux of A through the growth medium in mol/m's? b) Determine the concentration profile throughout the growth medium as a function of position z
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Diffusion is the movement of a substance from a region of high concentration to a region of low concentration. Diffusion occurs in liquids and gases because their particles move randomly from one place to another.

Molar flux- The molar flux is the number of moles per unit time per unit area.

 

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