The wt % proeutectic α present just above 548 ° C in a binary Al − 8.5 wt% Cu alloy.

Question

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Answer 1

Question

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

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Q1 / Two metals Beryllium (Be) and Silicon (Si) have melting points 1282°C and 1414 °C respectively, are completely soluble as liquids but completely insoluble as solids . They form a eutectic at 1090°C containing 61 wt% Si -39wt% Be? Determine the following:- 1- Draw the thermal equilibrium phase diagram and identify all phases are present in diagram ,then sketches what happens in microstructure when the alloys containing , a- 10wt% Si, b-70wt%Si , solidify completely. 2- Determine the composition and the amount of each phase for the alloy which contain 15 wt% Si-85wt% Be at 1150°C If the alloy is hypoeutectic determine the amount of eutectic at 600 °C? or hypereutectic and

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Answer 2

Question

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

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Answer 3

Question

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

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Answer 4

Question

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

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Answer 5

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

Answer 6

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% 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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

Answer 7

Chapter 9.13, Problem 92AAP

(a)

To determine

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer 8

(a)

Expert Solution

Answer to Problem 92AAP

The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 89.65 %.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

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=C−BC−A×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 Al−8.5 wt% Cu alloy is 89.65 %.

Answer 13

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% 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=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

Answer 14

(b)

To determine

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer 15

(b)

Expert Solution

Answer to Problem 92AAP

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Refer Figure 1,

The weight percentage of total α is expressed as follows.

wt % of total α=D−BD−A×100=52.5%−8.5%52.5%−5.65%×100=93.92 %

The weight percentage of eutectic α is expressed as follows.

wt % of eutectic α=wt % of total α−wt % of proeutectic α=93.92 %−89.65 %=4.27 %

Thus, the wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 4.27 %.

Answer 20

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

Answer 21

(c)

To determine

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer 22

(c)

Expert Solution

Answer to Problem 92AAP

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy is 6.1 %.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Refer Figure 1,

The weight percentage of θ is expressed as follows.

wt % of θ phase=B−AD−A×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 Al−8.5 wt% Cu alloy is 6.1 %.

Answer 27

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The wt % proeutectic α present just above 548 ° C in a binary Al − 8.5 wt% Cu alloy.

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The wt % proeutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer to Problem 92AAP

Explanation of Solution

The wt % eutectic α present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer to Problem 92AAP

Explanation of Solution

The wt % θ phase present just above 548 °C in a binary Al−8.5 wt% Cu alloy.

Answer to Problem 92AAP

Explanation of Solution

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