e 115
Engineering Thermodynamics
Fall 2009
University of California
Problem set 22
Due:
Wednesday, November 11
th
.
There will be no penalty for problem sets submitted by November 13, in lecture.
1.
(
20 points
)
A natural question regarding chemical reactions is to understand if the initial conditions will
effect the final composition of the system at equilibrium. This issue is considered in this
problem. We consider the following reaction:
A
2
(
g
)
+
B
2
(
g
)
=
2AB(
g
)
Assume that this reaction is taking place at 1000 K, and that the standard free energy of
reaction is –5000 joules per mole of
AB(
g
)
produced. We consider three different sets of
initial conditions, designated I, II, and III, and for which the initial number of moles of
A
2
,
B
2
, and
AB
are designated as
n
A
2
(
initial
)
,
n
B
2
(
initial
)
, and
n
AB
(
initial
)
, respectively:
n
A
2
(
initial
)
n
B
2
(
initial
)
n
AB
(
initial
)
Condition I
1
1
0
Condition II
0.5
0.5
1
Condition III
1.33
0.67
0
a)
Starting from the expression for
dG
, determine an expression involving the chemical
potentials of
A
2
,
B
2
, and
AB
that must be satisfied at equilibrium. Show your steps.
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 Fall '08
 Staff
 Dynamics, Thermodynamics, Mole, Partial Pressure, Chemical reaction

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