Nitrogen from a gaseous phase is to be diffused into pure iron at 700°C. If the surface concentration is maintained at 0.13 wt% N, what will be the concentration (in weight percent) 2.3 mm from the surface after 5.0 h? The diffusion coefficient for nitrogen in iron at 700°C is 1.8 x 10-10 m²/s.

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
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Nitrogen from a gaseous phase is to be diffused into pure iron at 700°C. If the surface concentration is maintained at 0.13 wt% N, what
will be the concentration (in weight percent) 2.3 mm from the surface after 5.0 h? The diffusion coefficient for nitrogen in iron at
700°C is 1.8 x 10-10 m²/s.
Z
0.00
erf(z)
0.0000
0.10
Z erf(z)
0.05 0.0564 0.65
0.55 0.5633
0.1125
0.025 0.0282 0.60 0.6039 1.4 0.9523
0.15 0.1680
0.70
1.6 0.9763
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
0.9928
0.30 0.3286 0.90 0.7970 2.0 0.9953
0.35 0.3794
0.40 0.4284 1.0
0.45 0.4755 1.1
Z erf(z)
1.3
0.50 0.5205 1.2
0.6778
0.6420 1.5 0.9661
1.9
0.95 0.8209 2.2
0.9340
0.8427 2.4
0.8802 2.6
0.9103 2.8
0.9981
0.9993
0.9998
0.9999
Transcribed Image Text:Nitrogen from a gaseous phase is to be diffused into pure iron at 700°C. If the surface concentration is maintained at 0.13 wt% N, what will be the concentration (in weight percent) 2.3 mm from the surface after 5.0 h? The diffusion coefficient for nitrogen in iron at 700°C is 1.8 x 10-10 m²/s. Z 0.00 erf(z) 0.0000 0.10 Z erf(z) 0.05 0.0564 0.65 0.55 0.5633 0.1125 0.025 0.0282 0.60 0.6039 1.4 0.9523 0.15 0.1680 0.70 1.6 0.9763 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 0.9928 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.40 0.4284 1.0 0.45 0.4755 1.1 Z erf(z) 1.3 0.50 0.5205 1.2 0.6778 0.6420 1.5 0.9661 1.9 0.95 0.8209 2.2 0.9340 0.8427 2.4 0.8802 2.6 0.9103 2.8 0.9981 0.9993 0.9998 0.9999
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