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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
kk
R
Ta
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
54:
Relations between the PMPs of
component
k
and its activity
,
ln
ln
k
k
pn
a
SR
a
R
T
T
,
ln
k
k
k
Tn
a
VR
T
P
2
,
ln
k
k
k
a
HR
T
T
2
,,
ln
ln
k
aa
U
RT
PRT
TP
,
ln
ln
k
k
a
FR
T
aP
R
T
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
Ha
X
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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View Full Document MSE 508
Dept. of Materials Science & Engineering
Solid State Thermodynamics
Spring 2011/Bill Knowlton
2
xs
mix
G
(J/mol)
395
703
925
1054
1100
1054
925
703
395
a.
Prove whether or not the system exhibits regular solution behavior.
For this problem, much insight to the regular solution model can be gained
from:
[1] Joel H. Hildebrand,
Solubility. XII. Regular Solutions
, Journal of the American Chemical
Society,
51
(1929) p. 6680. You can ask Bill for a copy.
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This note was uploaded on 10/16/2011 for the course ENGINEERIN MSE 508 taught by Professor Billknowlton during the Fall '10 term at Boise State.
 Fall '10
 BillKnowlton
 Dynamics

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