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Name: __________________________________
Score _________________
BME 100L
Fall 2008
Final Exam
1. A chemical experiment is designed to determine the stoichiometric coefficients and the rate
constant of the following elementary reaction,
The experimental data are given in the Table
v
0
,
M sec
1
[A]
0
, mM
[B]
0
, mM
20
0.1
0.1
40
0.1
0.2
80
0.2
0.1
where v
0
, [A]
0
, and [B]
0
are the initial rate of reaction, concentration of A, and concentration of B,
respectively. (a) Determine the values of
, and k; and (b) what is the order of the reaction?
Solution:
(a)
(i)
0.02 = k 0.1
0.1
(ii)
0.04 = k 0.1
0.2
(iii)
0.08 = k 0.2
0.1
Eq(iii) divided by Eq(i)
=>
4 = 2
=>
= 2
Eq(ii) divided by Eq(i)
=>
2 = 2
=>
= 1
Substituting the values of
and
into Eq(i)
=>
0.02 mM sec
1
= k 0.001 mM
3
=>
k = 20 mM
2
sec
1
(b) It is a third order reaction.
A +
B
C
k
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1
and x
2
:
(x
1
)
(x
2
)
(a) Determine the rates of production of A, B, and C, in terms of concentrations of the molecules
involved in the reactions.
(b) What are the rates and orders of these reactions?
(c) For the reversible reactions in Equation x
2
, what is the equilibrium constant?
Solution:
(a)
]
D
][
C
[
k
]
B
][
A
[
k
]
A
[
k
dt
]
A
[
d
2
2
3
1
3
]
D
][
C
[
k
]
B
][
A
[
k
]
A
[
k
dt
]
B
[
d
2
2
3
1
]
D
][
C
[
k
]
B
][
A
[
k
dt
]
C
[
d
2
2
(b)
For x
1
,
3
1
]
A
[
k
v
n = 3
For x
2
,
]
B
][
A
[
k
v
f
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 Fall '07
 YUAN

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