A lead-tin (Pb-Sn) alloy of composition 50 wt % Sn and 50 wt % Pb is slowly heated from a temperature of 100 °C. Refer to the phase diagram provided in Figure 1 and answer the following. (i) At what temperature does the first liquid phase form? (ii) What is the composition of this liquid phase? (iii) At what temperature does complete melting of the alloy occur? (iv) What is the composition of the last solid remaining prior to complete melting? Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a +L 200 B+L 400 183°C 18.3 61.9 97.8 300 100 a + B 200 H100 20 40 60 80 100 (Pb) Composition (wt% Sn) (Sn) Figure 1. Lead (Pb) and Tin (Sn) Phase diagram Temperature (°C) Temperature (°F)

A lead-tin (Pb-Sn) alloy of composition 50 wt % Sn and 50 wt % Pb is slowly heated from a temperature of 100 °C. Refer to the phase diagram provided in Figure 1 and answer the following. (i) At what temperature does the first liquid phase form? (ii) What is the composition of this liquid phase? (iii) At what temperature does complete melting of the alloy occur? (iv) What is the composition of the last solid remaining prior to complete melting? Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a +L 200 B+L 400 183°C 18.3 61.9 97.8 300 100 a + B 200 H100 20 40 60 80 100 (Pb) Composition (wt% Sn) (Sn) Figure 1. Lead (Pb) and Tin (Sn) Phase diagram Temperature (°C) 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

See similar textbooks

Similar questions

A 80%Sn-20%Pb alloy is melted fully at 300°C and then slowly cooled down to 182°C. Sketch the microstructures at 300°C, 200°C, and 182°C, respectively. Label all phases and indicate their approximate compositions. Also, determine the follows for this alloy at 182°C. (1) The weight fractions of α and β phases.(2) The weight fractions of primary β and eutectic structure.(3) The weight fraction of eutectic β .
Describe the phases present at the eutectic temperature when the overall composition is x(Cu)= 0.5
From the phase diagram of the Fe-0.25wt%C alloy below, determine the phase fraction and elemental composition of the resulting phase immediately after solidification across the eutectoid line (725 C). a.alpha_eutectoid = 96.6 wt% and cementite = 29.85 wt% b.alpha_eutectoid = 96.6 wt% and cementite = 3.4 wt% c.alpha_eutectoid = 1.05 wt% and cementite = 29.85 wt% d.alpha_eutectoid = 29.85 wt% and cementite = 1.05 wt%
The Iron-Carbon system: Phase Diagram 1. You heat treated a 1045 steel plate by heating it to 900°C and slowly cooling it to 725 °C, which is below the eutectoid temperature. What phases are present at 725°C? What are the compositions of each phase at 725°C? What are the weight fractions of each phase at 725°C? What microconstituents are present at 725°C? What are the compositions of each microconstituent at 725°C? What are the weight fractions of each microconstituent at 725°C?
Use the phase diagrams for Cu-Ni and Cu-Ag systems below to answer the question: Based on the mechanism, would you expect a solution containing 80 wt% Cu to be stronger if the remaining 20% of the alloy was Ni or Ag? Briefly explain
1-The microstructural design of Iron-Carbon(Fe-C) alloys has led to the development of vast range of steels for structural material applications. The phase diagram provide means for producing specific microstructures. Using the phase diagram below to answer the following questions A – If the liquid mixture of Fe-3%Wt C is slowly cooled from 1600 C to 1200C indicate the phase(S) that are present at 1200 C . Also calculate the composition of the of phases.(10) B-Describe the sequence of all phase transformation that accour from Fe-1.5%wt C is slowly cooled from 1600 C to 400 C. Use the diagram below to to describe the microstructures for each phase transformation (10)
For a lead-tin alloy of composition 80 wt% Sn-20 wt% Pb and at 180 °C, do the following:(a) Determine the mass fractions of the α and β phases.(b) Determine the mass fractions of primary β and eutectic microconstituents.(c) Determine the mass fraction of eutectic β
BINARY PHASE DIAGRAMS Please only answer parts d and e as the rest have been solved. Show full detailed explanation to answers with diagrams if necessary a)(i) What is the melting point of pure Mg?(ii) What is the maximum solubility of Mg in Pb and at what temperaturedoes this occur? (b) A 50 wt.% Pb-50wt% Mg alloy is slowly cooled from 700 °C to 400 °C.(i) At what temperature does the first solid phase form?(ii) What is the composition of this solid phase?(iii) At what temperature does all the liquid solidify?(iv) What is the composition of the last remaining liquid phase?(v) What is the freezing range? (c) What is the mass fraction of solid and liquid of a 60 wt.% Mg alloy at atemperature of 500 °C.(d) Draw and label the microstructure of an 80 wt.% Mg alloy at 600 °C.(e) A Mg-Pb alloy of mass 5.5 kg has a composition just slightly below thesolubility limit of 200 °C.(i) What mass of lead is in the alloy?(ii) If the alloy is heated to 350 °C how much more lead can be dissolvedin…
For a 76 wt% Pb–24 wt% Mg alloy, make schematic sketches of the microstructure that would be observed for conditions of very slow cooling at the following temperatures: 575°C, 500°C, 450°C, and 300°C. Label all phases and indicate their approximate compositions.
A 50 wt% Pb–50 wt% Mg alloy is slowly cooled from 700°C to 400°C. (a) At what temperature does the first solid phase form? (b) What is the composition of this solid phase? (c) At what temperature does the liquid solidify? (d) What is the composition of this last remaining liquid phase?
Material science The figure given below shows the Pb-Sn binary phase diagram. a) Cite the phases present, their compositions and and calculate the relative amounts (in terms of mass fractions) of the phases for the alloy 75 wt. % Sn at temperatures of 175°C (A) and 250°C (B), respectively.
Is it possible to have a copper–zinc alloy that, at equilibrium, consists of an  phase of composition 75 wt% Zn– 25 wt% Cu, and also a liquid phase of composition 90 wt% Zn and 10 wt% Cu? If so, what will be the approximate temperature of the alloy? If this is not possible, explain why.