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
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
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%?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

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