Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548°C in a binary Al8.5wt%Cu alloy.

(a)

Expert Solution
Check Mark

Answer to Problem 92AAP

The wt % proeutectic α present just above 548°C in a binary Al8.5wt%Cu alloy is 89.65%.

Explanation of Solution

Refer Figure 9.43, “Aluminum-rich end of aluminum-copper phase diagram”.

Draw the plot with the notation A,B,C,and D at the temperature of 548°C as shown in Figure 1.

Foundations of Materials Science and Engineering, Chapter 9.13, Problem 92AAP

Refer Figure 1,

The weight percentage of proeutectic α is expressed as follows.

  wt%of proeutectic α=CBCA×100=33.2%8.5%33.2%5.65%×100=89.65%

Thus, the wt % proeutectic α present just above 548°C in a binary Al8.5wt%Cu alloy is 89.65%.

(b)

To determine

The wt % eutectic α present just above 548°C in a binary Al8.5wt%Cu alloy.

(b)

Expert Solution
Check Mark

Answer to Problem 92AAP

The wt % eutectic α present just above 548°C in a binary Al8.5wt%Cu alloy is 4.27%.

Explanation of Solution

Refer Figure 1,

The weight percentage of total α is expressed as follows.

  wt%of total α=DBDA×100=52.5%8.5%52.5%5.65%×100=93.92%

The weight percentage of eutectic α is expressed as follows.

  wt%ofeutecticα=wt%of total αwt%of proeutectic α=93.92%89.65%=4.27%

Thus, the wt % eutectic α present just above 548°C in a binary Al8.5wt%Cu alloy is 4.27%.

(c)

To determine

The wt % θ phase present just above 548°C in a binary Al8.5wt%Cu alloy.

(c)

Expert Solution
Check Mark

Answer to Problem 92AAP

The wt % θ phase present just above 548°C in a binary Al8.5wt%Cu alloy is 6.1%.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

  wt%of θphase=BADA×100=8.5%5.65%52.5%5.65%×100=6.08%6.1%

Thus, the wt % θ phase present just above 548°C in a binary Al8.5wt%Cu alloy is 6.1%.

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Chapter 9 Solutions

Foundations of Materials Science and Engineering

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