An iron-carbon alloy initially containing 0.308 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1150°C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what position will the carbon concentration be 0.231 wt% after a 6 h treatment? The value of D at 1150°C is 5.5 × 10-10 m²/s. erf(z) erf(z) erf(z) 0.00 0.0000 0.55 0.5633 1.3 0.9340 0.025 0.0282 0.60 0.6039 1.4 0.9523 0.05 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
An iron-carbon alloy initially containing 0.308 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1150°C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what position will the carbon concentration be 0.231 wt% after a 6 h treatment? The value of D at 1150°C is 5.5 × 10-10 m²/s. erf(z) erf(z) erf(z) 0.00 0.0000 0.55 0.5633 1.3 0.9340 0.025 0.0282 0.60 0.6039 1.4 0.9523 0.05 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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Transcribed Image Text:An iron-carbon alloy initially containing 0.308 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere
at 1150°C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the
atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what
position will the carbon concentration be 0.231 wt% after a 6 h treatment? The value of D at 1150°C is 5.5 × 10-10 m²/s.
erf(z)
erf(z)
erf(z)
0.00
0.0000
0.55
0.5633
1.3
0.9340
0.025 0.0282
0.60 0.6039
1.4
0.9523
0.05
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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