CHEM 251 Phys. Chem. for Engineers
December 2009
Final Exam Prep: Voluntary Quiz
•
As well as all material constants and coefficients that you will
need in the required units, the following formulae will be given to
you:
p
+
a
n
V
2
(
V

bn
) =
nRT
(0.1)
p
=
nRT
V

bn

a
n
V
2
(0.2)
d
E
cv
d
t
=
d
Q
d
t
+
d
W
S
d
t
+
˙
m
h
H
spec
1

H
spec
2
+
g
(
h
1

h
2
)
+
1
2
(
v
2
1

v
2
2
)
(0.3)
1
v
0
([
S
]
0
)
=
[
S
]
0
+
K
M
v
max
[
S
]
0
(0.4)
=
1
v
max
+
K
M
v
max
1
[
S
]
0
.
(0.5)
0–1
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1. The Coulomb potential between two particles
i
and
j
in one
dimension is defined as:
V
(
x
i
,
x
j
;
e
,
q
i
,
q
j
) =
q
i
q
j
e
(
x
i

x
j
)

1
,
(0.6)
where
q
i
and
q
j
are the particle point charges and
e
is the
dielectric constant. Calculate the forces
f
i
and
f
j
exerted on
the particles due to this potential energy function.
2. For the following rate expressions, state the order of the
reaction with respect to each species, the total rate order of
the reaction and the units of the rate constant,
k
:
(a) Rate
=
k
[
ClO
][
BrO
]
(b) Rate
=
k
[
NO
]
2
[
O
2
]
(c) Rate
=
k
[
HI
]
2
[
O
2
]
[
H
+
]
1
2
3. Calculate the ratio of rate constants for two thermal reactions
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 Winter '09
 scotty
 Chemistry, pH, Chem, maximum velocity vmax, following rate expressions, total rate order

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