3. A block of pure iron needs to be converted to steel. The density of iron is 7.86x10^3kg/m^3, and the atomic weight is 0.0558kg/mol. The concentration of carbon at position A is 4x10^26 at/m^3. The carbon atomic weight is 0.012kg/mol. Carbon must be diffused into the iron to convert it to steel. It is desired to have 10* atoms of carbon per m' at point B. Position A is 1mm from position B. Assume that you have 1m^3 of iron. You heat the material uniformly to 1200°C. Do carbon = 79x10 'm/sec, E, = 83kJ/mol, and the density of carbon is 2260kg/m*3. (4pts) 1mm Fe block B What is Darnon at 1200°C in m³/sec? Calculate the FLUX (J) of carbon atoms in atoms per m'-sec at 1200'c?
3. A block of pure iron needs to be converted to steel. The density of iron is 7.86x10^3kg/m^3, and the atomic weight is 0.0558kg/mol. The concentration of carbon at position A is 4x10^26 at/m^3. The carbon atomic weight is 0.012kg/mol. Carbon must be diffused into the iron to convert it to steel. It is desired to have 10* atoms of carbon per m' at point B. Position A is 1mm from position B. Assume that you have 1m^3 of iron. You heat the material uniformly to 1200°C. Do carbon = 79x10 'm/sec, E, = 83kJ/mol, and the density of carbon is 2260kg/m*3. (4pts) 1mm Fe block B What is Darnon at 1200°C in m³/sec? Calculate the FLUX (J) of carbon atoms in atoms per m'-sec at 1200'c?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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
Transcribed Image Text:**3. A block of pure iron needs to be converted to steel.**
- The density of iron is \(7.86 \times 10^3 \text{ kg/m}^3\).
- The atomic weight is \(0.0558 \text{ kg/mol}\).
- Concentration of carbon at position A is \(4 \times 10^{26} \text{ atm/m}^3\).
- The carbon atomic weight is \(0.012 \text{ kg/mol}\).
Carbon must be diffused into the iron to convert it to steel. It is desired to have \(10^{25}\) atoms of carbon per m³ at point B. Position A is 1 mm from position B. Assume that you have 1 m³ of iron. You heat the material uniformly to 1200°C.
Constants:
- \(D_0, \text{carbon} = 79 \times 10^{-6} \text{ m}^2/\text{sec}\)
- \(E_a = 83 \text{kJ/mol}\)
- Density of carbon is \(2260 \text{kg/m}^3\).
**Diagram Explanation:**
A horizontal bar labeled "Fe block" indicates iron with carbon diffusion moving from point A to point B. The distance between A and B is 1 mm. Red arrows indicate the diffusion direction.
**Questions:**
i. **What is \(D_{\text{carbon}}\) at 1200°C in \(\text{m}^2/\text{sec}\)?**
ii. **Calculate the FLUX (J) of carbon atoms in atoms per m²-sec at 1200°C.**
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