1. Determine the ratio of diffusion coefficients for the following thre gnificance. Useful diffusion data can be found in Appendix B of the a) Carbon diffusing in a-Fe at 500°C and 700°C. b) Carbon and manganese diffusing in a-Fe at 800°C. c) Carbon diffusing in y-Fe and a-Fe at 800°C.

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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Q1. Determine the ratio of diffusion coefficients for the following three examples and explain their
significance. Useful diffusion data can be found in Appendix B of the textbook.
a) Carbon diffusing in a-Fe at 500°C and 700°C.
b) Carbon and manganese diffusing in a-Fe at 800°C.
c) Carbon diffusing in y-Fe and a-Fe at 800°C.
Transcribed Image Text:Q1. Determine the ratio of diffusion coefficients for the following three examples and explain their significance. Useful diffusion data can be found in Appendix B of the textbook. a) Carbon diffusing in a-Fe at 500°C and 700°C. b) Carbon and manganese diffusing in a-Fe at 800°C. c) Carbon diffusing in y-Fe and a-Fe at 800°C.
B.1
3.2
Appendix B
Selected diffusion data
Self-diffusivity of the elements
Matrix
Ag
Al
Cr
Cu
a-Fe
7-Fe
Ni
Si
D=Do exp(-Q/RT), R = 8.314J/mol K
A1₂03
Cr₂03
Coo
Fe₂03
MgO
NiO
Ni,Al
Do (m²/s)
1.06 x 10-4
1.71 x 10-4
2.00 × 10-5
2.32 x 10-4
2.01 x 10-4
2.20 × 10-5
X
2.22 × 10-4
0.9
242
Solute diffusivity in compounds
Q(kJ/mol)
Matrix Diffusing species Do (m²/s)
2.80 × 10-3
0.4
2.15 x 10-7
1.30 × 10²
2.49 × 10-5
4.80 × 10-8
1.90 x 10-6
186
142
Al
Cr
Co
Fe
Mg
Ni
Ni
308
206
240
268
289
495
Q(kJ/mol)
477
418
144
419
330
202
284
Comments
nod
Solute diffusivity in alloys
Matrix
Al
Cu
a-Fe
Nb
Ni
Diffusing species
Si
Ta
W
JNOů u od ≤ ≤ z ZBUJO
Zn
Zr
7-Fe
(0,00M
Fesnid-of
Ni
Si
Zn
Η
Ni
Sb
Zn
C
hate M J N
Ni
Cr
H
Mn
Cr
Ni
H
Au
C
Cr
Cu
Femei
H
Do (m²/s)
1.50 x 10-5
4.10 × 10-13
2.90 × 10-12
9.0 × 10-5
W
Sb
H
Mo
N
Cu
H
1.40 × 10-4
1.93 x 10-4
1.96 × 10-7
1.93 x 10-4
3.40 × 10-5
3.40 × 10-5
2.20 × 10-4
2.53 x 10-4
4.70 x 10-5
2.30 × 10-⁹
4.9 × 10-5
8 x 10-7
9.90 × 10-4
6.90 × 10-3
1.50 × 10-5
2.2 × 10-5
3.00 × 10-4
7.70 x 10-5
5 × 10-10
2.75 x 10-7
1.20 × 10-5
1.10 × 10-4
X
5.70 × 10-5
8.0 x 10-5
6.9 × 10-⁹
4.8 × 10-⁹
X
Q(kJ/mol) Comments
126
58
66
176
129
226
2.0 × 10
1.3 x 10-3
4.4 x 10-10
3.70 x 10-7
5.4 x 10-4
2.00 × 10-4
7.7 x 10-6
28.8
232
128
191
122
240
244
6.6
276
76
259
265
142
268
255
280
10.2
196
142
272
258
255
40.3
39.3
299
383
13.
13.5
460
260
125
453
(T < 631 K)
(T> 631 K)
LE
Transcribed Image Text:B.1 3.2 Appendix B Selected diffusion data Self-diffusivity of the elements Matrix Ag Al Cr Cu a-Fe 7-Fe Ni Si D=Do exp(-Q/RT), R = 8.314J/mol K A1₂03 Cr₂03 Coo Fe₂03 MgO NiO Ni,Al Do (m²/s) 1.06 x 10-4 1.71 x 10-4 2.00 × 10-5 2.32 x 10-4 2.01 x 10-4 2.20 × 10-5 X 2.22 × 10-4 0.9 242 Solute diffusivity in compounds Q(kJ/mol) Matrix Diffusing species Do (m²/s) 2.80 × 10-3 0.4 2.15 x 10-7 1.30 × 10² 2.49 × 10-5 4.80 × 10-8 1.90 x 10-6 186 142 Al Cr Co Fe Mg Ni Ni 308 206 240 268 289 495 Q(kJ/mol) 477 418 144 419 330 202 284 Comments nod Solute diffusivity in alloys Matrix Al Cu a-Fe Nb Ni Diffusing species Si Ta W JNOů u od ≤ ≤ z ZBUJO Zn Zr 7-Fe (0,00M Fesnid-of Ni Si Zn Η Ni Sb Zn C hate M J N Ni Cr H Mn Cr Ni H Au C Cr Cu Femei H Do (m²/s) 1.50 x 10-5 4.10 × 10-13 2.90 × 10-12 9.0 × 10-5 W Sb H Mo N Cu H 1.40 × 10-4 1.93 x 10-4 1.96 × 10-7 1.93 x 10-4 3.40 × 10-5 3.40 × 10-5 2.20 × 10-4 2.53 x 10-4 4.70 x 10-5 2.30 × 10-⁹ 4.9 × 10-5 8 x 10-7 9.90 × 10-4 6.90 × 10-3 1.50 × 10-5 2.2 × 10-5 3.00 × 10-4 7.70 x 10-5 5 × 10-10 2.75 x 10-7 1.20 × 10-5 1.10 × 10-4 X 5.70 × 10-5 8.0 x 10-5 6.9 × 10-⁹ 4.8 × 10-⁹ X Q(kJ/mol) Comments 126 58 66 176 129 226 2.0 × 10 1.3 x 10-3 4.4 x 10-10 3.70 x 10-7 5.4 x 10-4 2.00 × 10-4 7.7 x 10-6 28.8 232 128 191 122 240 244 6.6 276 76 259 265 142 268 255 280 10.2 196 142 272 258 255 40.3 39.3 299 383 13. 13.5 460 260 125 453 (T < 631 K) (T> 631 K) LE
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