b) Figure 1 shows a Cu-Ag phase diagram. Calculate the phase analysis for 50% Ag-50% Cu at 800 °C. Temperature (°C) 1200 1000 800 600 400 200 ( C (Cu) B 8.0 (C₂g) -Solidus Solvus 20 20 a + L Composition (at% Ag) 40 -Liquidus 779°C (TE) a + B 40 Liquid 60 Composition (wt% Ag) 60 71.9 (CE) 80 80 B+L 91.2 (CBg) G to 100 2200 2000 1800 F 1600 1400 1200 1000 800 600 400 100 Temperature (°F)

b) Figure 1 shows a Cu-Ag phase diagram. Calculate the phase analysis for 50% Ag-50% Cu at 800 °C. Temperature (°C) 1200 1000 800 600 400 200 ( C (Cu) B 8.0 (C₂g) -Solidus Solvus 20 20 a + L Composition (at% Ag) 40 -Liquidus 779°C (TE) a + B 40 Liquid 60 Composition (wt% Ag) 60 71.9 (CE) 80 80 B+L 91.2 (CBg) G to 100 2200 2000 1800 F 1600 1400 1200 1000 800 600 400 100 Temperature (°F)

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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Consider Cu - Ag Phase diagram below: 1200 A -Liquidus 1000 Liquid -Solidus 779°C (TE) 800 Temperature (°C) 600 400 a C 200 0 B 8.0 (Cag) Solvus a +L a + ß E 71.9 (CE) B+L 91.2 (CBE) B H 1 1 1 1 1 { ( L 20 40 60 80 100 (Cu) Composition (wt% Ag) (Ag) Consider 71.9% Ag-28.1% Cu, which is cooled below 779°C. What is the composition of the phases present just below 779°C and give the amount of beta phase present
2. a) How many kilograms of nickel must be added to 1.75 kg of copper to yield a liquidus temperature of 1300 °C? b) How many kilograms of nickel must be added to 5.43 kg of copper to yield a solidus temperature of 1200 °C? c) The solidus and liquidus temperatures for the copper-gold system are given here. Construct the phase diagram for this system and label each region. Composition (wt.% Au) Solidus Temperature (C) Liquidus Temperature (C) 1085 1085 1019 972 20 1042 996 946 40 60 934 80 911 911 90 928 942 95 974 984 100 1064 1064
For the given Ti-Cu phase diagram, specify all temperature-composition points at which eutectics, eutectoids, peritectic, and congruent phase transformations occur. Also, for each, write the reaction upon cooling. Temperature (°C) 1700 1500 1300 1100 900 700 500 0 (Ti) 1 B a 20 Ti₂Cu 40 Composition (wt% Cu) L TiCu TigCu4 60
The figure below shows Pb-Sn phase diagram. What is the composition of Pb and Sn at point 1? 1200 1000 Liquid a +L 779 C (Tg) B+L 6 800 8.0 71.9 G 91.2 600 400 200 20 40 60 80 100 (Pb) Composition (wt% Sni (Sn) Callister Jr., W.D., 2007 O a. 80 wt % Sn and 20 wt % Pb O b. 10 wt % Sn and 90 wt % Pb O c. 90 wt % Sn and 10 wt % Pb O d. 20 wt % Sn and 80 wt % Pb Temperature ("C)
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27, 31.9, and 33.8 wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C? T(°C) 1300-L (liquid) 1200 20 ABC L + a C1 30 S C2 liquidus 40 L + a solidus α (solid). O a. Walpha=0.12; WL=0.41; Walpha/WL = 9.41 O b. Walpha=0.27; WL-0.26; Walpha/WL = 11.11 O c. Walpha=0.15; WL-0.26; Walpha/WL = 11.80 Od. Walpha=0.20; WL-0.31; Walpha/WL = 7.33 50 wt% Ni
Consider the phase diagram below. The three points A, B, and C are at concentrations of 26.4, 31.3, and 34 wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C? T(°C) 1300 L (liquid) 1200 20 A B C L + a C1 S liquidus L + a solidus a (solid) 50 wt% Ni a. Walpha=0.21; WL=0.33; Walpha/WL = 13.17 b. Walpha=0.09; WL=0.32; Walpha/WL = 15.00 c. Walpha=0.07; WL=0.46; Walpha/WL = 11.17 d. Walpha=0.14; WL=0.37; Walpha/WL = 9.00
Temperature ("C) Temperature ($1 Consider 1 kg of Copper - Silver alloy (Cu - Ag) containing 75 wt% Ag. The phase diagram of the alloy is shown in the figure below. The alloy is cooled to 778 °C (just below the eutectic temperature). Calculate the mass in kg of the eutectic phase B (phase B that appears during the eutectic reaction) that forms? Composition (at% Ag 20 40 60 100 2200 80 1200 2000 Liquidus 1000 LIquid 1800 Solidus 1600 800 779°C (T 80 91.2 1400 IC. 1200 600 Solvus T000 400 800 200 20 40 80 100 (Cu) Composioon wt A
Figure 2 refers to the phase diagram for silver and tin. Label the regions (1) to (5) Temperature, 0/°C 1000 800 600 400 200 0 Liquid 2 Ag,Sn 60 a 20 40 80 Mass percentage Ag/% 100 Question 6: What will be observed when liquids of composition of 40% Ag are cooled to 200 K? When will it begin to precipitate? When will it become solid?
Consider Al- Cu system below. When Al-40%Cu is heated above 600°C and cooled slowly to a temperature of 545°C . Answer the following. Use the values of composition given in the phase diagram , no estimation .Each has two marks. 700 1200 600 L a + L 6 +L 548 1000 500 (CUAL) a + 6 800 400 600 300 5.65 10 20 30 32.7 40 50 52.5 (AI) Composition (wt % Cu) a. Percentage of the pro-eutectic phase present (% no decimal places) b. Composition of the pro- eutectic phase present (in %Cu one decimal place) c. What is the percentage of larger eutectic component present (% no decimal places) Temperature (°C) Temperature (°F)
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…
b) Figure 2 is the tin-gold phase diagram, for which only single-phase regions are labeled. Write one (1) entectic point reaction and label all the non-label regions (i) - (viii). 1000 800 L (viii) Temperature (°C) 600 400 200 0 (Sn) (1) (v) B (vi) (iv) (ii) Y 8 20 40 60 80 Composition (wt% Au) Figure 2 Tin-gold phase diagram !(vii) T 100 (Au)
In the binary phase diagram for the Cu-Ni system in the Figure provided: 1. Draw the microstructures for each point for the alloy upon cooling (A-E) and label ALL phases! 2. What are the compositions (C's) of EVERY phase and the relative phase amounts (W's) for each microstructure A-E? Show all work! T(°C) (liquid) L 20 (a, solid) 30 A BUD E 40 Co OOOOO w 10 50 wt% Ni CL= Ca= CL= Ca= CL= Ca= C₁= Cu= C₁= Ca= WL= Wa= WL= Wα= W₁= W= W₁= Wa= W₁= Wu= A B E