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Chem1C Worksheet Kinetics answer key
General Chemistry (University of California Irvine)
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Chem1C Worksheet Kinetics answer key
General Chemistry (University of California Irvine)
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1
Chem 1C
–
General Chemistry
–
Joe Patterson
Worksheet 1
Week of April 8, 2019
1.
Consider the reaction, NOCl (g)
NO + ½ Cl
2
(g), with initial concentration of
NOCl=
0.5 M.
a.
Show how [NOCl], [NO], and [Cl
2
] change with time by sketching a plot of
concentration with time.
Draw a plot that shows [NOCl] decreasing over time and NO and ½ Cl
2
increasing.
b.
Write an expression for the rate of disappearance of NOCl and for the rate of
appearance of NO and Cl
2
, showing how these are related to each other
Rate
=
−
?[????]
??
=
?[??]
??
= 2
?[??
2
]
??
c.
The following data for the disappearance of NOCl was observed in an experiment:
[NOCl]
0
(M)
Initial Rate (mol L
-1
s
-1
)
0.25
8.0 x 10
-5
0.50
3.2 x 10
-4
1.00
1.3 x 10
-3
Second order rxn
d.
Calculate the rate constant.
0.00128 M
-1
s
-1
e.
Calculate the half-life for the decomposition of NOCl when the concentration of
NOCl is 0.5 M.
1562.5 per second
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2
f.
For the reaction in part (e), calculate [NOCl] after 2 hours has passed.
0.089 M
Reasoning:
? =
1
?
1/2
[?
0
]
plug this equation into:
1
[?]
=
1
?
0
+ ??
So:
1
[?]
=
1
0.5
+ (0.00128)(7200)
= 0.089 M
The other way told to solve it in discussion (0.5 x (1/2)^4.6) is only valid for
linear/0 order problems
–
not for first and second order reactions, which
grow exponentially
.
2.
Given the following rate law:
Rate = k[NO]
2
[H
2
]
a.
Write the reaction order with respect to each reactant
[
NO]
2
occurs in second order
[H
2
] occurs in first order
b.
Write the overall reaction rate
Third order
c.
If the concentration of NO is cut in half, identify what happens to the reaction rate.
(1/2)
2
= ¼ as fast
d.
If the concentration of NO is quadrupled, identify what happens to the reaction rate.
(4)
2
= 16 as fast
3.
The kinetics of the reaction that depletes the ozone layer in the atmosphere was studied
by performing two experiments. In experiment A, the rate of disappearance of NO was
followed in the presence of a large excess of O
3
(1.0 x 10
3
M). In Experiment B, the rate
of disappearance of O
3
was followed in the presence of a large excess of NO (2.0 x 10
3
M). The data for these two experiments are plotted in several different formats.
(Concentrations are in units of M and time is in seconds).
NO (g) + O
3
(g)
NO
2
(g) + O
2
(g)
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3
a.
Write the reaction order in respect to each reactant.
Both NO and O
3
are first order
b.
Write the overall rate order.
Second
c.
Provide the value of the rates for each set of experiments.
Experiment A when:
[NO]k=Rate
Experiment B when:
[O
3
]k = Rate
[NO]
0
(M)
Rate
[O
3
]
0
(M)
Rate (mol L
-1
s
-1
)
6
0.0108
10
0.036
3
0.0054
5
0.018
1
0.0018
1
0.0036
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