MSE 508
Dept. of Materials Science & Engineering
Solid State Thermodynamics
Spring 2011/Bill Knowlton
1
Problem Set 6
1.
In class, we found that
ln
k
k
RT
a
m
D
=
. Using the toolbox 5 tables, derive Toolbox 5-
4 disregarding the first three and last listings in the tables. That is, derive the
following:
Toolbox
5-4:
Relations between the PMPs of
component
k
and its activity
,
ln
ln
k
k
k
k
p n
a
S
R
a
RT
T
,
ln
k
k
k
T n
a
V
RT
P
2
,
ln
k
k
k
p n
a
H
RT
T
2
,
,
ln
ln
k
k
k
k
k
p n
T n
a
a
U
RT
PRT
T
P
,
ln
ln
k
k
k
k
T n
a
F
RT
a
PRT
P
2.
In the system Pandemonium (Pn) – Condominium (Cn), the partial molar heat of
mixing of Condominium (Cn) can be fitted by the expression: .
2
where
12,500
Cn
Pn
Cn
J
H
aX
X
a
mole
.
Calculate and plot the function that describes the variation of the heat of mixing with
composition for this system. In plotting the function, do so with a mathematical
program that is not Excel. Do comment and provide insight to your plot.
3.
Below is a thoroughly stated problem with a thoroughly provided solution. Create a a
thoroughly problem and a thoroughly stated solution that parallels the problem and
solution provided below. For the problem, you will either need to create your own
data or find data (the literature: text books, journal articles, etc.). Be as thorough as
the problem and solution is below.
PROBLEM: Data are given below for the
xs
mix
G
as a function of composition for a liquid
solution of Fe and Mn at 1863 K. Using the data, thoroughly answer the following
questions and comment and provide insight to each of the thoroughly labeled plots that
you generate:
X
Mn
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9

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