Suppose that a fine metal wire of 1 mm diameter contains 0.005 wt% hydrogen. You wish to remove as much of this hydrogen as possible from the material. The wire is annealed in an atmosphere which estab- lishes the equilibrium hydrogen level in the metal at 0.0008 wt%. (a) If the diffusion coefficient for hydrogen in the metal is 2.5 x 10-10 m³/s, how long will it take for the average hydrogen concentration to drop to 0.001 wt%? (b) How much longer will it take to lower the hydrogen concentration to 0.00085 wt%?

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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Suppose that a fine metal wire of 1 mm diameter contains 0.005 wt%
hydrogen. You wish to remove as much of this hydrogen as possible
from the material. The wire is annealed in an atmosphere which estab-
lishes the equilibrium hydrogen level in the metal at 0.0008 wt%.
(a) If the diffusion coefficient for hydrogen in the metal is
2.5x 100 m³/s, how long will it take for the average hydrogen
concentration to drop to 0.001 wt%?
(b) How much longer will it take to lower the hydrogen concentration
to 0.00085 wt%?
Transcribed Image Text:Suppose that a fine metal wire of 1 mm diameter contains 0.005 wt% hydrogen. You wish to remove as much of this hydrogen as possible from the material. The wire is annealed in an atmosphere which estab- lishes the equilibrium hydrogen level in the metal at 0.0008 wt%. (a) If the diffusion coefficient for hydrogen in the metal is 2.5x 100 m³/s, how long will it take for the average hydrogen concentration to drop to 0.001 wt%? (b) How much longer will it take to lower the hydrogen concentration to 0.00085 wt%?
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