In a diving-chamber experiment, a human subject breathed a mixture of U₂ and He while small areas of his skin were exposed to nitrogen gas. After some time, thatod. the exposed areas became blotchy, with small blisters forming on the skin. Model the skin as consisting of two adjacent layers, one of thickness 8, and the other of thickness 82. If counterdiffusion of He out through the skin occurs at the same time as N₂ diffuses into the skin, at what point in the skin layers is the sum of the partial pressures a maximum? If the saturation partial pressure for the sum of the gases is 101 kPa, can the blisters be a result of the sum of the gas partial pressures exceeding the saturation partial pressure and the gas com- ing out of the solution (i.e., the skin)? Before answering any of these questions, derive the concentration profiles for N₂ and He in the skin layers. Diffusivity of He and N₂ in the inner skin layer = 5 x 10-7 cm²/s and 1.5 x 10-7 cm²/s, respectively Diffusivity of He and N₂ in the outer skin layer 10-5 cm²/s and 3.3 x 10-4 cm²/s, respectively N₂ He 8₁ 82 = External Skin Boundary Partial Pressure 101 kPa 0 20 μm 80 μm Internal Skin Boundary Partial Pressure 0 81 kPa Stratum corneum Epidermis

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
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In a diving-chamber experiment, a human subject breathed a mixture of U₂ and
He while small areas of his skin were exposed to nitrogen gas. After some time, thatod.
the exposed areas became blotchy, with small blisters forming on the skin.
Model the skin as consisting of two adjacent layers, one of thickness 8, and the
other of thickness 82. If counterdiffusion of He out through the skin occurs at
the same time as N₂ diffuses into the skin, at what point in the skin layers is the
sum of the partial pressures a maximum? If the saturation partial pressure for
the sum of the gases is 101 kPa, can the blisters be a result of the sum of the
gas partial pressures exceeding the saturation partial pressure and the gas com-
ing out of the solution (i.e., the skin)?
Before answering any of these questions, derive the concentration profiles for N₂ and He in the
skin layers.
Diffusivity of He and N₂ in the inner skin layer = 5 x 10-7 cm²/s and 1.5 x 10-7 cm²/s, respectively
Diffusivity of He and N₂ in the outer skin layer 10-5 cm²/s and 3.3 x 10-4 cm²/s, respectively
N₂
He
8₁
82
=
External
Skin Boundary
Partial Pressure
101 kPa
0
20 μm
80 μm
Internal
Skin Boundary
Partial Pressure
0
81 kPa
Stratum corneum
Epidermis
Transcribed Image Text:In a diving-chamber experiment, a human subject breathed a mixture of U₂ and He while small areas of his skin were exposed to nitrogen gas. After some time, thatod. the exposed areas became blotchy, with small blisters forming on the skin. Model the skin as consisting of two adjacent layers, one of thickness 8, and the other of thickness 82. If counterdiffusion of He out through the skin occurs at the same time as N₂ diffuses into the skin, at what point in the skin layers is the sum of the partial pressures a maximum? If the saturation partial pressure for the sum of the gases is 101 kPa, can the blisters be a result of the sum of the gas partial pressures exceeding the saturation partial pressure and the gas com- ing out of the solution (i.e., the skin)? Before answering any of these questions, derive the concentration profiles for N₂ and He in the skin layers. Diffusivity of He and N₂ in the inner skin layer = 5 x 10-7 cm²/s and 1.5 x 10-7 cm²/s, respectively Diffusivity of He and N₂ in the outer skin layer 10-5 cm²/s and 3.3 x 10-4 cm²/s, respectively N₂ He 8₁ 82 = External Skin Boundary Partial Pressure 101 kPa 0 20 μm 80 μm Internal Skin Boundary Partial Pressure 0 81 kPa Stratum corneum Epidermis
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