hat the value of D at 1150°C is 6.5 × 10-12 m²/s. i m²/s
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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![**Problem Statement:**
The activation energy for the diffusion of atomic species A in metal B is 103 kJ/mol. Calculate the diffusion coefficient at 842°C, given that the value of D at 1150°C is \(6.5 \times 10^{-12}\) m²/s.
**Answer Box:**
\[ \boxed{\text{(Input field)}} \, \text{m}^2/\text{s} \]
**Instructions:**
To solve this problem, you may need to use the Arrhenius equation for diffusion, which relates the diffusion coefficient \(D\) to temperature \(T\):
\[ D = D_0 \exp\left(\frac{-Q}{RT}\right) \]
Where:
- \(D\) is the diffusion coefficient.
- \(D_0\) is the pre-exponential factor.
- \(Q\) is the activation energy (in J/mol).
- \(R\) is the gas constant (\(8.314 \, \text{J/mol} \, \text{K}\)).
- \(T\) is the temperature in Kelvin.
Use this formula to find the diffusion coefficient at 842°C and ensure all temperatures are converted to Kelvin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd11102b1-e9d2-4b8f-a3bc-cb638b777a97%2Fa643eca4-15a1-4547-bc1a-4ea568db6b6b%2Fqejsyoh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The activation energy for the diffusion of atomic species A in metal B is 103 kJ/mol. Calculate the diffusion coefficient at 842°C, given that the value of D at 1150°C is \(6.5 \times 10^{-12}\) m²/s.
**Answer Box:**
\[ \boxed{\text{(Input field)}} \, \text{m}^2/\text{s} \]
**Instructions:**
To solve this problem, you may need to use the Arrhenius equation for diffusion, which relates the diffusion coefficient \(D\) to temperature \(T\):
\[ D = D_0 \exp\left(\frac{-Q}{RT}\right) \]
Where:
- \(D\) is the diffusion coefficient.
- \(D_0\) is the pre-exponential factor.
- \(Q\) is the activation energy (in J/mol).
- \(R\) is the gas constant (\(8.314 \, \text{J/mol} \, \text{K}\)).
- \(T\) is the temperature in Kelvin.
Use this formula to find the diffusion coefficient at 842°C and ensure all temperatures are converted to Kelvin.
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