Engineering
Consider a hypothetical eutectic phase diagram for metals A and B that is similar to that for the lead– tin system. Assume that: (l) α and β phases exist at the A and B extremes of the phase diagram, respectively; (2) the eutectic composition is 35 wt% A–65 wt% B; and (3) the composition of the α phase at the eutectic temperature is 88 wt% A–12 wt% B (4) melting temperatures of A and B are 950 °C and 680 °C respectively (5) temperature at the eutectic point is 470 °C Draw this phase diagram and indicate likidious, solidious, solvus, eutectic lines and phases formed during cooling on the diagram.
Homework Answers
Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that...
Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system, (shown in the figure below.) Assume that (1) O and S phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B, and (3) the composition of the phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield...
9.34 Consider the hypothetical eutectic phase dia- gram for metals A and B, which is similar...
9.34 Consider the hypothetical eutectic phase dia- gram for metals A and B, which is similar to that for the lead-tin system, Figure 9.8. As- sume that (1) a and ß phases exist at the A and B extremities of the phase diagram, re- spectively; (2) the eutectic composition is 47 wt% B-53 wt% A; and (3) the composition of the B phase at the eutectic temperature is 92.6 wt% B-7.4 wt% A. Determine the com- position of an alloy...
For a lead-tin alloy of composition Pb-30 wt.% Sn are heated to 300°C and slowly cooling...
For a lead-tin alloy of composition Pb-30 wt.% Sn are heated to 300°C and slowly cooling down to room temperature. A Eutectic phase diagram of lead-tin alloy is shown in figure 3. What are the expected phases at 250°C, 150°C and at room temperature and estimate approximate phase fractions at these temperatures. Schematically draw the microstructures that would form at 250°C, 150°C and at room temperature. For a lead-tin alloy of composition Pb-30 wt.% Sn are heated to 300°C and...
Question 4 (25 marks) (a) Consider the hypothetical eutectic phase diagram for metal for lead-tin system....
Question 4 (25 marks) (a) Consider the hypothetical eutectic phase diagram for metal for lead-tin system. Assume that (1) A and B phase cutectic phase diagram for metals A and B, which is similar to that 1. Assume that (1) a and B phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composi m, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase...
What is the fraction of primary β in the X2 alloy that forms under equilibrium cooling at eutecti...
What is the fraction of primary β in the X2 alloy
that forms under equilibrium cooling at eutectic temperature?
What fractions of primary α and eutectic micro-constituent
composition are formed in the X1 alloy below the
eutectic isotherm?
What amounts of α and β form from liquid just below the eutectic
temperature in the X2 alloy?
What are the amounts of total α and the eutectic α in the
X1 alloy at a temperature just below the eutectic
temperature?
Consider...
1. Below is the phase diagram of Pb-Sn alloy. (a) Describe what happens to a 20%-Pb 80%-Sn alloy as temperature decreas...
1. Below is the phase diagram of Pb-Sn alloy. (a) Describe what happens to a 20%-Pb 80%-Sn alloy as temperature decreases from 300 °C to 50 °C; use sketches as needed. (b) When temperature is kept constant at 200 °C, describe what happens as the Sn concentration is increased from 10 wt% to 90 wt%; use sketches as needed. 100% Liquid Procutectic α 24% Eutectic α Liquid 76% Eutectic β Alloy I Alloy 2 Liquid 49% 327 Liquidus 300 Liquid...
Hypothetical phase diagram for A-B system is given below. A and B are both metals and atomic mass of B is much high...
Hypothetical phase diagram for A-B system is given below. A and B are both metals and atomic mass of B is much higher than that of A. ㄒ 421°C A 10.2 24.3 i) il in the boxes in the figure with proper phases. The following transformation reaction for the eutectic point for α and β phases is given; 1s3a123+B20.1 at 421°C iii) For an A-B mixture with a wt% of 18 at 420°C (alloy 1) and that with wt% of...
6. Consider the Ti-Ni system in the figure below. Atomic Percent Nickel 20 I800 1600 L...
6. Consider the Ti-Ni system in the figure below. Atomic Percent Nickel 20 I800 1600 L 1450C 1400 200 TIN (Ni) 1000 Un) re s00 Hati) s00 Ti Weight Percent Nickel N a. What are the melting temperatures of pure Ni and pure Ti? b. Label the liquidus and solidus lines in the figure. c. Label al field containing two phases in the figure. d. What is the maximum solubility of Ni in a-Ti and Ti in Ni? e. Write...
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.%...
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.% C are produced by melting and slowly cooling down to room temperature. By referring the phase diagram provided in figure 3, what would you expect in terms of phase changes (solidification sequence) in all three alloys as the temperature of the alloys reduces from melting temperature to room temperature? What will be the approximate weight fraction of each of those micro constituents at room...
For the Cu-Ag phase diagram, answer the following. Label the figure and add is part of...
For the Cu-Ag phase diagram, answer the following. Label the
figure and add is part of your answer sheet………………………….(11 points)
What is the eutectic temperature and composition? (1
point)
In the context of this diagram, what does the symbol β
represent? (1 point)
Assume slow cooling and that equilibrium conditions exist for
the alloy for 70 wt% Ag – 30 wt% Cu. If this is being cooled from
1000 °C, when will the first solid form and what composition would...
Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system, (shown in the figure below.) Assume that (1) O and S phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B, and (3) the composition of the phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield...
9.34 Consider the hypothetical eutectic phase dia- gram for metals A and B, which is similar to that for the lead-tin system, Figure 9.8. As- sume that (1) a and ß phases exist at the A and B extremities of the phase diagram, re- spectively; (2) the eutectic composition is 47 wt% B-53 wt% A; and (3) the composition of the B phase at the eutectic temperature is 92.6 wt% B-7.4 wt% A. Determine the com- position of an alloy...
For a lead-tin alloy of composition Pb-30 wt.% Sn are heated to 300°C and slowly cooling down to room temperature. A Eutectic phase diagram of lead-tin alloy is shown in figure 3. What are the expected phases at 250°C, 150°C and at room temperature and estimate approximate phase fractions at these temperatures. Schematically draw the microstructures that would form at 250°C, 150°C and at room temperature. For a lead-tin alloy of composition Pb-30 wt.% Sn are heated to 300°C and...
Question 4 (25 marks) (a) Consider the hypothetical eutectic phase diagram for metal for lead-tin system. Assume that (1) A and B phase cutectic phase diagram for metals A and B, which is similar to that 1. Assume that (1) a and B phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composi m, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase...
What is the fraction of primary β in the X2 alloy
that forms under equilibrium cooling at eutectic temperature?
What fractions of primary α and eutectic micro-constituent
composition are formed in the X1 alloy below the
eutectic isotherm?
What amounts of α and β form from liquid just below the eutectic
temperature in the X2 alloy?
What are the amounts of total α and the eutectic α in the
X1 alloy at a temperature just below the eutectic
temperature?
Consider...
1. Below is the phase diagram of Pb-Sn alloy. (a) Describe what happens to a 20%-Pb 80%-Sn alloy as temperature decreases from 300 °C to 50 °C; use sketches as needed. (b) When temperature is kept constant at 200 °C, describe what happens as the Sn concentration is increased from 10 wt% to 90 wt%; use sketches as needed. 100% Liquid Procutectic α 24% Eutectic α Liquid 76% Eutectic β Alloy I Alloy 2 Liquid 49% 327 Liquidus 300 Liquid...
Hypothetical phase diagram for A-B system is given below. A and B are both metals and atomic mass of B is much higher than that of A. ㄒ 421°C A 10.2 24.3 i) il in the boxes in the figure with proper phases. The following transformation reaction for the eutectic point for α and β phases is given; 1s3a123+B20.1 at 421°C iii) For an A-B mixture with a wt% of 18 at 420°C (alloy 1) and that with wt% of...
6. Consider the Ti-Ni system in the figure below. Atomic Percent Nickel 20 I800 1600 L 1450C 1400 200 TIN (Ni) 1000 Un) re s00 Hati) s00 Ti Weight Percent Nickel N a. What are the melting temperatures of pure Ni and pure Ti? b. Label the liquidus and solidus lines in the figure. c. Label al field containing two phases in the figure. d. What is the maximum solubility of Ni in a-Ti and Ti in Ni? e. Write...
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.% C are produced by melting and slowly cooling down to room temperature. By referring the phase diagram provided in figure 3, what would you expect in terms of phase changes (solidification sequence) in all three alloys as the temperature of the alloys reduces from melting temperature to room temperature? What will be the approximate weight fraction of each of those micro constituents at room...
For the Cu-Ag phase diagram, answer the following. Label the
figure and add is part of your answer sheet………………………….(11 points)
What is the eutectic temperature and composition? (1
point)
In the context of this diagram, what does the symbol β
represent? (1 point)
Assume slow cooling and that equilibrium conditions exist for
the alloy for 70 wt% Ag – 30 wt% Cu. If this is being cooled from
1000 °C, when will the first solid form and what composition would...
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