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A hypothetical eutectic phase diagram for metals A and B shows that cooling a liquid melt with a concentration of 50 wt% A-50 wt% B to just below 625 °C (eutectic isotherm temperature) results in simultaneous formation of alpha and beta phases. The phase diagram also shows that alpha (A rich) and beta (B rich) phases exist at left and right extremes of the phase diagram, respectively. At the eutectic isotherm temperature, the maximum solubility of B in A and A in B is 10 wt% and 5 wt%, respectively. The phase diagram does not have any intermetallic compounds. A new solid alloy is made by melting together 86 gr of a 40 wt% A-60 wt% B alloy with 136 gr of 65 wt% A-35 wt% B alloy followed by cooling the melt to 400 °C. If the new alloy is heated up from 400 °C to just below 625 °C, answer the following questions: Calculate the overall alloy composition. а. b. Determine phases present and calculate their respective masses. Calculate the masses of the primary phase, eutectic phase, and eutectic structure. с. d. |Calculate the density of the alloy if the densities of pure metals A and B are 12 g/cm' and 8 g/cm², respectively. Draw the hypothetical phase diagram and show your work on the phase diagram to answer parts (b) and (c).

A hypothetical eutectic phase diagram for metals A and B shows that cooling a liquid melt with a concentration of 50 wt% A-50 wt% B to just below 625 °C (eutectic isotherm temperature) results in simultaneous formation of alpha and beta phases. The phase diagram also shows that alpha (A rich) and beta (B rich) phases exist at left and right extremes of the phase diagram, respectively. At the eutectic isotherm temperature, the maximum solubility of B in A and A in B is 10 wt% and 5 wt%, respectively. The phase diagram does not have any intermetallic compounds. A new solid alloy is made by melting together 86 gr of a 40 wt% A-60 wt% B alloy with 136 gr of 65 wt% A-35 wt% B alloy followed by cooling the melt to 400 °C. If the new alloy is heated up from 400 °C to just below 625 °C, answer the following questions: Calculate the overall alloy composition. а. b. Determine phases present and calculate their respective masses. Calculate the masses of the primary phase, eutectic phase, and eutectic structure. с. d. |Calculate the density of the alloy if the densities of pure metals A and B are 12 g/cm' and 8 g/cm², respectively. Draw the hypothetical phase diagram and show your work on the phase diagram to answer parts (b) and (c).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A hypothetical eutectic phase diagram for metals A and B shows that cooling a liquid melt with a concentration of 50 wt% A-50 wt% B to just below 625 °C (eutectic isotherm temperature) results in simultaneous formation of alpha and beta phases. The phase diagram also shows that alpha (A rich) and beta (B rich) phases exist at left and right extremes of the phase diagram, respectively. At the eutectic isotherm temperature, the maximum solubility of B in A and A in B is 10 wt% and 5 wt%, respectively. The phase diagram does not have any intermetallic compounds. A new solid alloy is made by melting together 86 gr of a 40 wt% A-60 wt% B alloy with 136 gr of 65 wt% A-35 wt% B alloy followed by cooling the melt to 400 °C. If the new alloy is heated up from 400 °C to just below 625 °C, answer the following questions: a. Calculate the overall alloy composition. b. Determine phases present and calculate their respective masses. Calculate the masses of the primary phase, eutectic phase, and eutectic structure. с. d. Calculate the density of the alloy if the densities of pure metals A and B are 12 g/cm' and 8 g/cm³, respectively. Draw the hypothetical phase diagram and show your work on the phase diagram to answer parts (b) and (c).
Transcribed Image Text:A hypothetical eutectic phase diagram for metals A and B shows that cooling a liquid melt with a concentration of 50 wt% A-50 wt% B to just below 625 °C (eutectic isotherm temperature) results in simultaneous formation of alpha and beta phases. The phase diagram also shows that alpha (A rich) and beta (B rich) phases exist at left and right extremes of the phase diagram, respectively. At the eutectic isotherm temperature, the maximum solubility of B in A and A in B is 10 wt% and 5 wt%, respectively. The phase diagram does not have any intermetallic compounds. A new solid alloy is made by melting together 86 gr of a 40 wt% A-60 wt% B alloy with 136 gr of 65 wt% A-35 wt% B alloy followed by cooling the melt to 400 °C. If the new alloy is heated up from 400 °C to just below 625 °C, answer the following questions: a. Calculate the overall alloy composition. b. Determine phases present and calculate their respective masses. Calculate the masses of the primary phase, eutectic phase, and eutectic structure. с. d. Calculate the density of the alloy if the densities of pure metals A and B are 12 g/cm' and 8 g/cm³, respectively. Draw the hypothetical phase diagram and show your work on the phase diagram to answer parts (b) and (c).
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