An iron-carbon alloy initially containing 0.255 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1130 degrees 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 0.0wt% C. At what position will the carbon concentration be 0.191 wt% after a 6h treatment? The value of D at 1130 degrees C is 6.0*10^-10 m^2/s.
An iron-carbon alloy initially containing 0.255 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1130 degrees 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 0.0wt% C. At what position will the carbon concentration be 0.191 wt% after a 6h treatment? The value of D at 1130 degrees C is 6.0*10^-10 m^2/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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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An iron-carbon alloy initially containing 0.255 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1130 degrees 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 0.0wt% C. At what position will the carbon concentration be 0.191 wt% after a 6h treatment? The value of D at 1130 degrees C is 6.0*10^-10 m^2/s.
Transcribed Image Text:The table provides values for the error function, denoted as \(\text{erf}(z)\), for different values of \(z\). This table is helpful for understanding the relationship between the variable \(z\) and its corresponding error function value, which is often used in probability, statistics, and partial differential equations.
### Table: Error Function Values
| \(z\) | \(\text{erf}(z)\) | \(z\) | \(\text{erf}(z)\) | \(z\) | \(\text{erf}(z)\) |
|---------|--------------------|---------|--------------------|---------|--------------------|
| 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
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