• Consider one such alloy that initially has a uniform carbon concentration of 0.25 wt% and is to be treated at 950C. If the concentration of carbon at the surface is suddenly brought to 0.05 and maintained at 1.20 wt%, how long will it take to achieve a carbon content of 0.80 wt% at a position 0.5 mm below the surface? The diffusion coefficient for carbon in iron at this temperature is and 5.3 · 10-11 m²/s; assume that the steel piece is semi-infinite. erf(z) erf(z) 0,5633 erf(z) 0.55 1.3 0,9340 0.025 0.0282 0.60 0.6039 1.4 0,9523 0,0564 0.65 0,6420 1.5 0.9661 0.10 0.1125 0.70 0.6778 1.6 0.9763 0.15 0.1680 0.75 0.7112 1.7 0.9838 0,20 0.2227 0.80 0.7421 1.8 0.9891 0.25 0,2763 0.85 0.7707 1.9 0.9928 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.95 0.8209 2.2 0.9981 0,40 0,4284 1.0 0.8427 2.4 0,9993 0,45 0.4755 1.1 0.8802 2.6 0.9998 0.50 0.5205 1.2 0.9103 2.8 0.9999
• Consider one such alloy that initially has a uniform carbon concentration of 0.25 wt% and is to be treated at 950C. If the concentration of carbon at the surface is suddenly brought to 0.05 and maintained at 1.20 wt%, how long will it take to achieve a carbon content of 0.80 wt% at a position 0.5 mm below the surface? The diffusion coefficient for carbon in iron at this temperature is and 5.3 · 10-11 m²/s; assume that the steel piece is semi-infinite. erf(z) erf(z) 0,5633 erf(z) 0.55 1.3 0,9340 0.025 0.0282 0.60 0.6039 1.4 0,9523 0,0564 0.65 0,6420 1.5 0.9661 0.10 0.1125 0.70 0.6778 1.6 0.9763 0.15 0.1680 0.75 0.7112 1.7 0.9838 0,20 0.2227 0.80 0.7421 1.8 0.9891 0.25 0,2763 0.85 0.7707 1.9 0.9928 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.95 0.8209 2.2 0.9981 0,40 0,4284 1.0 0.8427 2.4 0,9993 0,45 0.4755 1.1 0.8802 2.6 0.9998 0.50 0.5205 1.2 0.9103 2.8 0.9999
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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MÚEGYETEM 1 7 8 2
• Consider one such alloy that initially
has a uniform carbon concentration
of 0.25 wt% and is to be treated at
950C. If the concentration of carbon 0.025
at the surface is suddenly brought to 0.05
and maintained at 1.20 wt%, how
long will it take to achieve a carbon
content of 0.80 wt% at a position
0.5 mm below the surface? The
diffusion coefficient for carbon in
iron at this temperature is and
5.3 · 10-11 m²/s; assume that the
steel piece is semi-infinite.
erf(z)
erf(z)
erf(z)
0.55
0.5633
1.3
0.9340
0.0282
0.60
0.6039
1.4
0.9523
0.0564
0.65
0.6420
1.5
0.9661
0.10
0.1125
0.70
0.6778
1.6
0.9763
0.15
0.1680
0.75
0.7112
1.7
0.9838
0.20
0.2227
0.80
0.7421
1.8
0.9891
0.25
0.2763
0.85
0.7707
1.9
0.9928
0.30
0.3286
0.90
0.7970
2.0
0.9953
0.35
0.3794
0.95
0.8209
2.2
0.9981
0.40
0.4284
1.0
0.8427
2.4
0.9993
0.45
0.4755
1.1
0.8802
2.6
0.9998
0.50
0.5205
1.2
0.9103
2.8
0.9999
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