Compute diffusion coefficients for the interdiffusion of carbon in both (a) a-iron (BCC) and (b) y-iron (FCC) at 975°C. Assume that Do for the interdiffusion of carbon in a-iron and in y-iron are 1.1 x 106 and 2.3 x 105 m²/s, respectively, and that Qu are 80 and 148 kJ/mol, respectively. (a) (b) m²/s m²/s
Compute diffusion coefficients for the interdiffusion of carbon in both (a) a-iron (BCC) and (b) y-iron (FCC) at 975°C. Assume that Do for the interdiffusion of carbon in a-iron and in y-iron are 1.1 x 106 and 2.3 x 105 m²/s, respectively, and that Qu are 80 and 148 kJ/mol, respectively. (a) (b) m²/s m²/s
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![**Title: Calculating Diffusion Coefficients for Carbon in Iron**
**Description:**
This section provides instructions for computing diffusion coefficients for the interdiffusion of carbon in two types of iron at 975°C:
1. **α-Iron (BCC)**
2. **γ-Iron (FCC)**
**Assumptions:**
- The pre-exponential factor (\(D_0\)) for carbon in α-iron is \(1.1 \times 10^{-6} \, \text{m}^2/\text{s}\).
- The pre-exponential factor (\(D_0\)) for carbon in γ-iron is \(2.3 \times 10^{-5} \, \text{m}^2/\text{s}\).
- The activation energies (\(Q_d\)) are 80 kJ/mol for α-iron and 148 kJ/mol for γ-iron.
**Tasks:**
(a) Compute the diffusion coefficient for carbon in α-iron at 975°C.
- Input field for diffusion coefficient in \(\text{m}^2/\text{s}\).
(b) Compute the diffusion coefficient for carbon in γ-iron at 975°C.
- Input field for diffusion coefficient in \(\text{m}^2/\text{s}\).
**Instructions:**
Enter your calculated values in the respective fields. Use the Arrhenius equation for diffusion:
\[ D = D_0 \exp\left(-\frac{Q_d}{RT}\right) \]
Where:
- \(D\) is the diffusion coefficient.
- \(D_0\) is the pre-exponential factor.
- \(Q_d\) is the activation energy.
- \(R\) is the gas constant (\(8.314 \, \text{J/mol} \cdot \text{K}\)).
- \(T\) is the temperature in Kelvin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46029127-96a5-4dc2-997a-3c090d1aab2d%2F313e3bf5-cd6a-4a52-920d-1f8b55b97fa2%2Fnqvwdcm_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Diffusion Coefficients for Carbon in Iron**
**Description:**
This section provides instructions for computing diffusion coefficients for the interdiffusion of carbon in two types of iron at 975°C:
1. **α-Iron (BCC)**
2. **γ-Iron (FCC)**
**Assumptions:**
- The pre-exponential factor (\(D_0\)) for carbon in α-iron is \(1.1 \times 10^{-6} \, \text{m}^2/\text{s}\).
- The pre-exponential factor (\(D_0\)) for carbon in γ-iron is \(2.3 \times 10^{-5} \, \text{m}^2/\text{s}\).
- The activation energies (\(Q_d\)) are 80 kJ/mol for α-iron and 148 kJ/mol for γ-iron.
**Tasks:**
(a) Compute the diffusion coefficient for carbon in α-iron at 975°C.
- Input field for diffusion coefficient in \(\text{m}^2/\text{s}\).
(b) Compute the diffusion coefficient for carbon in γ-iron at 975°C.
- Input field for diffusion coefficient in \(\text{m}^2/\text{s}\).
**Instructions:**
Enter your calculated values in the respective fields. Use the Arrhenius equation for diffusion:
\[ D = D_0 \exp\left(-\frac{Q_d}{RT}\right) \]
Where:
- \(D\) is the diffusion coefficient.
- \(D_0\) is the pre-exponential factor.
- \(Q_d\) is the activation energy.
- \(R\) is the gas constant (\(8.314 \, \text{J/mol} \cdot \text{K}\)).
- \(T\) is the temperature in Kelvin.
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