Homework 2 Part A - MatE 25 (2018F, Tue Thu 9:00 am)
Student Name (print)____Signature_____
Date: Nov 1, 2018, Due: Nov 6, 2018 (this Homework will not be accepted after Nov 6)
Scope: Chapter 9 Phase Diagrams
Total available points: 35 points. (15 points for Problem #1, 20 points for Problem #2)
Problem 1. A Pb-Sn alloy with an average composition of 25 wt% Pb - 75 wt% Sn is heated up very
slowly (equilibrium heating) from room temperature to 182.9°C (just below the eutectic temperature of
183°C). Please answer the following questions.
(a) At this temperature, after the system reached its thermodynamic equilibrium state, please sketch a
schematic diagram to illustrate the microstructure, (5 points)
(b) There should be two distinct different regions in the microstructure, please do appropriate
calculation and fill in the Table with appropriate answers, (10 points)
Figure 9.8
The lead-tin
phase
diagram.
327°C
300
Liquid
232°C
Temperature (°C)
200
18.3
100
$\alpha + L$
183°C
61.9
97.8
0
20
40
60
80
100
Pb
Composition (wt% Sn)
Sn
Region # Name of the phase Composition of this phase Amount of this phase in wt%
1
2
Calculation: