Kinetics - Extra Practice Problems Worksheet With Answer Key - General Chemistry Ii Page 9
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159
First Order Rate Law Calculations
Formulas for First Order Reactions: kt = ln ([A
]/[A
])
kt
= 0.693
o
t
1/2
-these formulas will be provided for you on the test
–1
33. The first-order reaction A → B, has k = 8.00 s
. If [A]
= 0.500 M, how long will it take [A] = 0..200 M?
0
a.
0.115 s
d.
0.244 s.
b.
0.100 s
e.
0.488 s
c.
8.18 s
–1
34. The first-order reaction A → B, has k = 5.67 s
. If [A]
= 0.500 M, how long will it take [A] = 0.124 M?
0
a.
0.122 s
d.
0.244 s
b.
0.100 s
e.
0.488 s
c.
8.18 s
–3
–1
35. A reaction is first order in A. If the rate constant of the reaction is 6.00 × 10
s
, what is the half-life (t
) of the
1/2
reaction?
–3
a.
d.
115 s
4.98 × 10
s
–3
b.
200 s
e.
1.73 × 10
s
–3
c.
3.45 × 10
s
–3
–1
36. A reaction is first order in A. If the rate constant of the reaction is 3.45 × 10
s
, what is the half-life (t
) of the
1/2
reaction?
–3
a.
d.
100 s
4.98 × 10
s
–3
b.
201 s
e.
1.73 × 10
s
–3
c.
3.45 × 10
s
37. The half-life (t
) of a first-order reaction is 0.100 s. What is the rate constant?
1/2
–1
–1
a.
6.93 s
d.
0.144 s
–1
–1
b.
0.693 s
e.
3.01 s
–1
c.
0.0693 s
38. The half-life (t
) of a first-order reaction is 0.950 s. What is the rate constant?
1/2
–1
–1
a.
6.93 s
d.
0.144 s
–1
–1
b.
0.729 s
e.
3.01 s
–1
c.
0.0693 s
39. What percentage of a material will persist after 60 minutes if it’s half life is 30 minutes?
a.
50%
b.
33%
c.
25%
d.
12.5%
e.
none of the above
40. What percentage of a material will persist after 80 minutes if it’s half life is 20 minutes?
a.
50%
b.
33%
c.
25%
d.
12.5%
e.
6.25%
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