A sheet of steel with an initial nitrogen concentration of 0.066% is exposed to an atmosphere containing 0.2% nitrogen. After 6 hours, the concentration of nitrogen 5 mm into the surface of the steel sheet is 0.090%. At what temperature is this process taking place? Assume that Do = 4.7 x 107 m2/s, QD = 76.6 kJ/mol. Refer to the erf table in the course textbook. erf(z) erf(z) z erf(z) 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
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A sheet of steel with an initial nitrogen concentration of 0.066% is exposed to an atmosphere
containing 0.2% nitrogen. After 6 hours, the concentration of nitrogen 5 mm into the surface of
the steel sheet is 0.090%. At what temperature is this process taking place? Assume that Do
= 4.7 x 10-7 m²/s, QD = 76.6 kJ/mol. Refer to the erf table in the course textbook.
erf(z)
erf(z) z erf(z)
Z
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
0.1125 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
0.10
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
0.50 0.5205 1.2 0.9103 2.8 0.9999
1.1 0.8802 2.6 0.9998
Transcribed Image Text:A sheet of steel with an initial nitrogen concentration of 0.066% is exposed to an atmosphere containing 0.2% nitrogen. After 6 hours, the concentration of nitrogen 5 mm into the surface of the steel sheet is 0.090%. At what temperature is this process taking place? Assume that Do = 4.7 x 10-7 m²/s, QD = 76.6 kJ/mol. Refer to the erf table in the course textbook. erf(z) erf(z) z erf(z) Z 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 0.1125 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 0.10 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 0.50 0.5205 1.2 0.9103 2.8 0.9999 1.1 0.8802 2.6 0.9998
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