A diffusion couple of two metals, A and B, was fashioned as shown in Figure 5.1. After a 26 hour heat treatment at 1170°C (and subsequent cooling to room temperature) the concentration of A is 4.0 wt% at the 11-mm position within metal B. If another heat treatment is conducted on an identical diffusion couple, only at 701°C for 26 hours, at what position (in mm) will the composition b 4.0 wt% A? The preexponential and activation energy values for the diffusion of A in B are 2.4 x 10-4 m²/s and 154 kJ/mol, respectiv mm

A diffusion couple of two metals, A and B, was fashioned as shown in Figure 5.1. After a 26 hour heat treatment at 1170°C (and subsequent cooling to room temperature) the concentration of A is 4.0 wt% at the 11-mm position within metal B. If another heat treatment is conducted on an identical diffusion couple, only at 701°C for 26 hours, at what position (in mm) will the composition b 4.0 wt% A? The preexponential and activation energy values for the diffusion of A in B are 2.4 x 10-4 m²/s and 154 kJ/mol, respectiv mm

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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Concept explainers

Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.

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### Diffusion Analysis of Metal A in Metal B

A diffusion couple of two metals, A and B, was fashioned as shown in Figure 5.1. After a 26-hour heat treatment at 1170°C (followed by subsequent cooling to room temperature), the concentration of A is 4.0 wt% at the 11-mm position within metal B. If another heat treatment is conducted on an identical diffusion couple, at 701°C for 26 hours, at what position (in mm) will the composition be 4.0 wt% A? The preexponential and activation energy values for the diffusion of A in B are 2.4 × 10^-4 m²/s and 154 kJ/mol, respectively.

#### Input the calculated position:
\[ \_\_\_\_\_\_ \text{ mm} \]

Here, a comprehensive study of the diffusion process is necessary to determine how the reduced temperature affects the diffusion distance for a given composition.

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