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MSE 308
Dept. of Materials Science & Engineering
Thermodynamics of Materials
Spring 2005/Bill Knowlton
Problem Set 12
1.
For a regular solution, it is known for a two component system, that:
12
1
1
2
2
(l
n
l
n)
mix
o
Ga
X
XR
T
XXXX
∆=
+
+
(J/mole).
Consider a system in which a
o
is 13,500 J/mole.
a.
Derive
.
xs
mix
G
∆
b.
Derive
1
xs
G
∆
.
c.
Derive
2
xs
G
∆
.
d.
Derive the activity coefficient for component 1.
e.
Derive the activity coefficient for component 2.
f.
Plot the activity coefficient for component 1 as a function of X
2
over a
temperature range from 300K to 1000K on one graph using a mathematical
program that is not Excel.
g.
Plot the activity coefficient for component 2 as a function of X
2
over a
temperature range from 300K to 1000K on one graph using a mathematical
program that is not Excel.
h.
Plot
as a function of X
mix
G
∆
2
over a temperature range from 300K to 1000K on
one graph using a mathematical program that is not Excel.
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 Fall '10
 BillKnowlton
 Dynamics

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