Q.5 Consider one such alloy that initially has a uniform carbon concentration of 1. 22 wt% and is to be treated at 950 "C. If the concentration of carbon at the surface is suddenly brought to and maintained at 2.23 wt%, what would be carbon concentration at a position 1.5 mm below the surface, if the time required for the diffusion process is 24.5 h? The diffusion coefficient for carbon in iron at this temperature is 1.8 x10" m²/s; assume that the steel piece is semi-infinite.
Q.5 Consider one such alloy that initially has a uniform carbon concentration of 1. 22 wt% and is to be treated at 950 "C. If the concentration of carbon at the surface is suddenly brought to and maintained at 2.23 wt%, what would be carbon concentration at a position 1.5 mm below the surface, if the time required for the diffusion process is 24.5 h? The diffusion coefficient for carbon in iron at this temperature is 1.8 x10" m²/s; assume that the steel piece is semi-infinite.
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
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Transcribed Image Text:Q.5
Consider one such alloy that initially has a uniform carbon concentration of 1. 22 wt% and is to
be treated at 950 "C. If the concentration of carbon at the surface is suddenly brought to and
maintained at 2.23 wt%, what would be carbon concentration at a position 1.5 mm below the
surface, if the time required for the diffusion process is 24.5 h? The diffusion coefficient for carbon
in iron at this temperature is 1.8 x10" m/s; assume that the steel piece is semi-infinite.
Tabulation of error function values
erf (z)
erf (z)
erf (z)
0.55
0.6
0.5633
1.3
0.9340
0.9523
0.025
0.05
0.10
0.15
0.2
0.0282
0.0564
0.1125
0.1680
0.6039
0.6420
0.6778
0.7112
1.4
0.65
0.7
0.75
0.8
1.5
1.6
0.9661
0.9763
1.7
0.9838
0.2227
0.2763
0.3286
0.3794
0.4284
0.4755
0.7421
0.7707
1.8
1.9
2.0
0.9891
2/3
0.9928
0.9953
0.9981
0.9993
0.9998
0.25
0.85
0.9
0.95
0.7970
0.8209
0.8427
0.3
0.35
2.2
2.4
0.4
1.0
0.45
1.1
0.8802
2.6
0.5
0.5205
1.2
0.9103
2.8
0.9999
...
...
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