For a carburization process is carried out in gamma (ꝩ)-Fe at an unknown temperature. The diffusion coefficient at that temperature is measured to be 1.73x10-11 m2/s. What is the carburization temperature in degree C? (reference data are provided in the Table 1, (Hint: find the relevant data from the table)

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
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For a carburization process is carried out in gamma (ꝩ)-Fe at an unknown temperature. The diffusion coefficient at that temperature is measured to be 1.73x10-11 m2/s. What is the carburization temperature in degree C? (reference data are provided in the Table 1, (Hint: find the relevant data from the table)
**Diffusivity Data for a Number of Metallic Systems**

| Solute    | Solvent      | \( D_0 \) (m\(^2\)/s) | \( Q \) (kJ/mol) | \( Q \) (kcal/mol) |
|-----------|--------------|------------------|----------------|-----------------|
| Carbon    | Fcc iron     | \( 20 \times 10^{-6} \) | 142            | 34.0            |
| Carbon    | Bcc iron     | \( 220 \times 10^{-6} \) | 122            | 29.3            |
| Iron      | Fcc iron     | \( 22 \times 10^{-6} \) | 268            | 64.0            |
| Iron      | Bcc iron     | \( 200 \times 10^{-6} \) | 240            | 57.5            |
| Nickel    | Fcc iron     | \( 77 \times 10^{-6} \) | 280            | 67.0            |
| Manganese | Fcc iron     | \( 35 \times 10^{-6} \) | 282            | 67.5            |
| Zinc      | Copper       | \( 34 \times 10^{-6} \) | 191            | 45.6            |
| Copper    | Aluminum     | \( 15 \times 10^{-6} \) | 126            | 30.2            |
| Copper    | Copper       | \( 20 \times 10^{-6} \) | 197            | 47.1            |
| Silver    | Silver       | \( 40 \times 10^{-6} \) | 184            | 44.1            |
| Carbon    | Hcp titanium | \( 511 \times 10^{-6} \) | 182            | 43.5            |

*Note: See Equation 5.13.*

**Source:** Data from L. H. Van Vlack, *Elements of Materials Science and Engineering*, 4th ed., Addison-Wesley Publishing Co., Inc., Reading, MA, 1980.

---

This table presents diffusivity data for various solute-solvent combinations in metallic systems. The parameters provided include the diffusion pre-exponential factor \( D_0 \
Transcribed Image Text:**Diffusivity Data for a Number of Metallic Systems** | Solute | Solvent | \( D_0 \) (m\(^2\)/s) | \( Q \) (kJ/mol) | \( Q \) (kcal/mol) | |-----------|--------------|------------------|----------------|-----------------| | Carbon | Fcc iron | \( 20 \times 10^{-6} \) | 142 | 34.0 | | Carbon | Bcc iron | \( 220 \times 10^{-6} \) | 122 | 29.3 | | Iron | Fcc iron | \( 22 \times 10^{-6} \) | 268 | 64.0 | | Iron | Bcc iron | \( 200 \times 10^{-6} \) | 240 | 57.5 | | Nickel | Fcc iron | \( 77 \times 10^{-6} \) | 280 | 67.0 | | Manganese | Fcc iron | \( 35 \times 10^{-6} \) | 282 | 67.5 | | Zinc | Copper | \( 34 \times 10^{-6} \) | 191 | 45.6 | | Copper | Aluminum | \( 15 \times 10^{-6} \) | 126 | 30.2 | | Copper | Copper | \( 20 \times 10^{-6} \) | 197 | 47.1 | | Silver | Silver | \( 40 \times 10^{-6} \) | 184 | 44.1 | | Carbon | Hcp titanium | \( 511 \times 10^{-6} \) | 182 | 43.5 | *Note: See Equation 5.13.* **Source:** Data from L. H. Van Vlack, *Elements of Materials Science and Engineering*, 4th ed., Addison-Wesley Publishing Co., Inc., Reading, MA, 1980. --- This table presents diffusivity data for various solute-solvent combinations in metallic systems. The parameters provided include the diffusion pre-exponential factor \( D_0 \
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