Nitrogen from a gaseous phase is to be diffused into pure iron at 700 degrees C. If the surface concentration is maintained at 0.27 wt% N, what will be the concentration (in weight percent) 3.0 mm from the surface after 7.1 h? The diffusion coefficient for nitrogen in iron at 700 degrees C is 2.3*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
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Nitrogen from a gaseous phase is to be diffused into pure iron at 700 degrees C. If the surface concentration is maintained at 0.27 wt% N, what will be the concentration (in weight percent) 3.0 mm from the surface after 7.1 h? The diffusion coefficient for nitrogen in iron at 700 degrees C is 2.3*10^-10 m^2/s.

This table provides values of the Gaussian error function, denoted as \( \text{erf}(z) \), for various values of \( z \).

### Table Columns:
- **Column 1 (z)**: Represents the input value for which the error function is calculated.
- **Column 2 (\(\text{erf}(z)\))**: Gives the value of the error function at that specific \( z \).

### Table Rows:
- **Row 1**: \( z = 0.00 \), \(\text{erf}(z) = 0.0000\)
- **Row 2**: \( z = 0.025 \), \(\text{erf}(z) = 0.0282\)
- **Row 3**: \( z = 0.05 \), \(\text{erf}(z) = 0.0564\)
- **Row 4**: \( z = 0.10 \), \(\text{erf}(z) = 0.1125\)
- **Row 5**: \( z = 0.15 \), \(\text{erf}(z) = 0.1680\)
- **Row 6**: \( z = 0.20 \), \(\text{erf}(z) = 0.2227\)
- **Row 7**: \( z = 0.25 \), \(\text{erf}(z) = 0.2763\)
- **Row 8**: \( z = 0.30 \), \(\text{erf}(z) = 0.3286\)
- **Row 9**: \( z = 0.35 \), \(\text{erf}(z) = 0.3794\)
- **Row 10**: \( z = 0.40 \), \(\text{erf}(z) = 0.4284\)
- **Row 11**: \( z = 0.45 \), \(\text{erf}(z) = 0.4755\)
- **Row 12**: \( z = 0.50 \), \(\text{erf}(z) = 0.5205\)
- **Row 13**: \( z = 0
Transcribed Image Text:This table provides values of the Gaussian error function, denoted as \( \text{erf}(z) \), for various values of \( z \). ### Table Columns: - **Column 1 (z)**: Represents the input value for which the error function is calculated. - **Column 2 (\(\text{erf}(z)\))**: Gives the value of the error function at that specific \( z \). ### Table Rows: - **Row 1**: \( z = 0.00 \), \(\text{erf}(z) = 0.0000\) - **Row 2**: \( z = 0.025 \), \(\text{erf}(z) = 0.0282\) - **Row 3**: \( z = 0.05 \), \(\text{erf}(z) = 0.0564\) - **Row 4**: \( z = 0.10 \), \(\text{erf}(z) = 0.1125\) - **Row 5**: \( z = 0.15 \), \(\text{erf}(z) = 0.1680\) - **Row 6**: \( z = 0.20 \), \(\text{erf}(z) = 0.2227\) - **Row 7**: \( z = 0.25 \), \(\text{erf}(z) = 0.2763\) - **Row 8**: \( z = 0.30 \), \(\text{erf}(z) = 0.3286\) - **Row 9**: \( z = 0.35 \), \(\text{erf}(z) = 0.3794\) - **Row 10**: \( z = 0.40 \), \(\text{erf}(z) = 0.4284\) - **Row 11**: \( z = 0.45 \), \(\text{erf}(z) = 0.4755\) - **Row 12**: \( z = 0.50 \), \(\text{erf}(z) = 0.5205\) - **Row 13**: \( z = 0
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