For a non-ferrous transition metal, determine the position (x) at which the carbon concentration is 0.25 wt% after a 10-h heat treatment at 1325 K when Co = 0.55 wt% C. Take Do = 2.3 × 10-5 m2/s and QD = 148,000J/mol. (Hint : For this problem, you should use the error-function table given below.Since it is not given, Cs = 0 and x is the case depth). Tabulation of Error Function Valueserf (z)erf (z)erf (z)0.550.56331.30.93400.0250.02820.600.60391.40.95230.050.05640.650.64201.50.96610.100.11250.700.67781.60.97630.150.16800.750.71121.70.98380.200.22270.74210.77070.801.80.98910.250.27630.851.90.99280.300.32860.900.79702.00.99530.350.37940.950.82092.20.99810.400.42841.00.84272.40.99930.450.47551.10.88022.60.99980.500.52051.20.91032.80.9999

In the above problem we need to determine the position x at which the carbon concentration is 0.25%…

Answered: For a non-ferrous transition metal,…

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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For a non-ferrous transition metal, determine the position (x) at which the carbon concentration is 0.25 wt% after a 10-h heat treatment at 1325 K when Co = 0.55 wt% C. Take Do = 2.3 × 10-5 m2/s and QD = 148,000J/mol.
(Hint : For this problem, you should use the error-function table given below.
Since it is not given, Cs = 0 and x is the case depth).

Tabulation of Error Function Values
erf (z)
erf (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
0.7421
0.7707
0.80
1.8
0.9891
0.25
0.2763
0.85
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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