1
Problem #1.
Suppose that you have 10 g of Cu at a temperature of 27 C. How many vacancies does your
10 g sample contain? The vacancy formation energy for Cu is Qv = 0.9 eV/atom.
To estimate total number of lattice sites in the sample, we calculate the n
1
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 01
Problem #1. [5 pts.] Match these basic materials structures with their definitions:
a. crystals
_c_
b. glasses
long, entangled molecules of chained carbon
_e_
c. polymers
typically a mixture of
1
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 02
Problem #1. [5 pts.] What are the lattice parameters of the unit cell shown below?
0.3 nm
0.6 nm
a _0.3 nm_
b _0.3 nm_
c _0.6 nm_
_90_
_90_
_60_
0. nm
0.3
3
90
n
m
60
90
Problem #2. [5 pts.]
Name: _
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 03
Recall:
weight% of component in alloy: wt. % =
Diffusivity: = 0 (
Flux: =
or
mass of component
total mass of alloy
100
)
#
Ficks 1st Law: =
Ficks 2nd Law:
Problem #1. [5 pts.] Please l
Problem #1.
There is a child trapped at the bottom of a well 50 m deep, and the rescuers have only
48 m of cable. The rescuers decide to add weight to the end of the cable to stretch it the
final 2 m. If the cable has a cross-sectional area of 1 cm2 and a
1
Problem #1.
If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in m 3.
The volume of a cubic unit cell is given by V = a3, where a is the lattice parameter. If
we look up data on Pb, we find that it has the FCC crystal struc
Name: _
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 04
Problem #1. [5 pts.] Please indicate the type of deformation (shear, bending, compression,
torsion) associated with each diagram.
M
T
Bending
Torsion
0.
3
n
m
Compression
F
Shear
Problem
Problem #1
The critical nucleus radius can be determined using an equation
like
2Tm
2Tm
r* = =2
2
Hf (Tm - T )
Hf (T )
Ni has a latent heat of fusion of 2.53(109) J/m3, a surface free
energy of 0.255 J/m3, a melting temperature of 1750 K, and
supercooling
1
MTE 207 Materials Science and Engineering
Fall 2015
Problem Set 01
Problem #1.
Give the electronic configuration of the following ions:
a) P+5
b) P3
c) Sn+4
d) I
a) [He]2s22p6
b) [Ne]3s23p6
c) [Kr]4d10
d) [Kr]5s24d105p6
The trick is to realize that the
MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 03 Solutions
Problem #1.
Suppose that you have 10 g of Cu at a temperature of 27 C. How many vacancies does your
sample contain? The vacancy formation energy for Cu is Qv = 0.9 eV/atom.
To
MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 04 Solutions
Problem #1.
Calculate the diffusion coefficient for magnesium in aluminum at 950 C. The pre-exponential
constant and activation energy for this system are 1.2 10 4 m2/s and 130
MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 05
Study for class on 02/15/2017
Problem #1.
There is a child trapped at the bottom of a well 50 m deep, and the rescuers have only 49.5 m
of cable. The rescuers decide to add weight to the
1. At 500C (930F), what is the maximum solubility (a) of Cu in Ag? (b) Of Ag in Cu?
Solution
(a) From Figure 9.7, the maximum solubility of Cu in Ag at 500C corresponds
to the position of the ( + ) phase boundary at this temperature, or to about 2 wt%
Cu.