6. Answer the following questions regarding the Lever Rule. [a. Describe the purpose of the Lever Rule and write the equation.b. Using the lever rule for 52 wt% Zn-48 wt% Cu, cite the phases present and mass fractions at thefollowing temperatures: 1000°C, 800°C, 500°C, and 300°C. Refer to the Cu-Zn diagram fromproblem 3 or use the book diagram on p. 326.7. Returning to the Zn-Cu phase diagram, using the composition 52 wt% Zn-48 wt% Cu, draw schematicsof the microstructures if you were to undergo a slow cooling process. Draw representations for 950°C,860°C, 800°C, and 600°C. Make sure to properly label each phase and determine their approximatecompositions. 70-30 brass60-40 brass1083 C1000.902°CLiquidww.ww.www.834°C800700°CఇSolid a !or (Ču)8 698C6003.424PC400419°CSolidor(Zn)200204060100Cuwt % ZnZnTemperature, T (°C)80

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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 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
1. Visualize a substance with the following points on the phase diagram: a triplepoint at 0.05 atm and 150 K; a normal melting point at 175 K; a normal boiling pointat 350 K; and a critical point at 2.0 atm and 450 K. The solid liquid line is “normal”(meaning positive sloping). For this, complete the following:a. Roughly sketch the phase diagram, using units of atmosphere and Kelvin. Labelthe area 1, 2, and 3, and points T and C on the diagram.b. Describe what one would see at pressures and temperatures above 2.0 atmand 450 K.c. Describe the phase changes from 50 K to 250 K at 1.5 atm.d. What exists in a system that is at 1 atm and 350 K?e. What exists in a system that is at 1 atm and 175 K?2. Based from the phase diagrams of water and carbon dioxide, answer thefollowing questions and justify your answers: 1. You have ice at 263 K (-10.0 oC)and 1.0 atm. What could you do to make the ice sublime? 2. A sample of dry ice(solid CO2) is cooled to 173 K (-100.0 oC), and is set on a table at…
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27.3, 31.2, and 33.3 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 1200 20 L (liquid) ABC L+a C1 Previous page 30 S liquidus L + a solidus α (solid) O a. Walpha=0.23; WL-0.38; Walpha/WL = 4.88 O b. Walpha=0.15; WL-0.47; Walpha/WL = 6.65 O c. Walpha=0.18; WL-0.33; Walpha/WL = 7.53 O d. Walpha=0.30; WL-0.34; Walpha/WL = 7.87 50 wt% Ni MacBook Pro Next page
Referring to Figure 1, please answer the following [NOTE: SHOW YOUR WORK on Figure 1]:a. provide the specific name for the phase boundary lines denoted by A and B. b. identify the phases present at equilibrium in the phase fields denoted by C, D, and E. c. identify the specific name for the point denoted by F. d. What is the maximum solid solubility of Mg in Al? At what temperature does it occur? e. An Al-Mg alloy (10 wt% Mg, 90 wt% Al) is heated slowly (to insure equilibrium) from a temperature of 200 C: i. At what temperature does the first liquid phase form? ii. What is the composition of the liquid phase at the temperature in part i.? iii. At what temperature does complete melting (no solid phase remaining) occur? iv. What is the composition of the last solid remaining prior to complete melting? f. Using the equilibrium phase diagram of Figure 1, identify the phases present, their compositions, and their relative mass fractions at equilibrium for a 70 wt% Mg – 30 wt% Al…
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
2. Calculate the heating value of coal having the following composition by weight using Dulong's formula. C = 75% S = 3% H = 5% A = 8% O = 6% W = 1.5% N= 1.5%
The following drawing shows the phase diagram at constant pressure for two liquids (A and B). When 30 g of pure A and 70 g of pure B are mixed: a) Reason what the diagram looks like and identify each part. b) At what temperature will the mixture start to boil? What will be the composition of the steam at that time? c) What is the amount of distillate at 130C°? 160 P= Tatm 150 140 O 130 120 T10 100 O 10 20 30 40 50 60 70 80 90 100 % B In weight
An alloy system consists of two metals A&B which are soluble in each other in all proportions in the liquid state, but completely insoluble in the solid state. The melting point of metal A is 425°C and B is 375°C. The lowest melting point (Eutectic) is 230°C at 40%B. For a 30 wt% A alloy at 300°C, the phases weight are O 0.4 kg B and 0.6 kg Liquid O 0.21 kg A and 0.789 kg Liquid 0.35 kg B and 0.65 kg Liquid 0.82 kg A and 0.18 kg Liquid
A 45 wt% Pb-55 wt% Mg alloy is rapidly quenched to room temperature from an elevated temperature in such a way that the high- temperature microstructure is preserved. This microstructure is found to consist of the a phase and Mg2Pb, having respective mass fractions of 0.65 and 0.35. Determine the approximate temperature from which the alloy was quenched. Use Animated Figure. °℃
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)
Refer to the following phase diagram (not to scale!) for nitrogen : 33.5 1.00 atm 0.127 63.1 63.2 77.4 126.0 T Kolvin At a pressure of 1 atm, the temperature 63.2 K is called the The normal boiling point for Ng is at The triple point pressure for Nz is ]of N2 - K atm The critical pressure for Ng is 33.5 atm. At temperatures above 126 K and pressures above 33.5 atm, Ny is a Nz is a[ Nz is a N2 is a |at 26.4 atm and 57.5 K. |at 1.00 atm and 75.1 K. at 0.127 atm and 83.0 K.
Consider the binary alloy phase diagram shown schematically below. The left-hand side denotes phase a, and the right-hand side the phase ß. The intermediate region is a coexistence regime with both a and ß phases. The three points 1, 2 and 3 in the coexistence region are at 22.8 wt% A, 28.2 wt% A, and 33.7 wt % A respectively. If the points on the phase boundaries L and R are at 20 wt% A and 39 wt % A, respectively, what is the fraction of a phase at 1, 2 and 3? (This question has only one correct answer) T(°C) A-B binary alloy 1400 Coexistence region 3 1 2 1100 B 20 % 40 % Weight % A

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