Name: 
 

Chemical Kinetics



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Which statement concerning relative rates of reaction is correct for the decomposition of phosphine?

4 PH3(g) → P4(g) + 6 H2(g)
a.
The rate of disappearance of PH3 is 6/4 the rate of appearance of H2.
b.
The rate of appearance of P4 is equal to the rate of appearance of H2.
c.
The rate of disappearance of PH3 is ¼ the rate of appearance of P4.
d.
The rate of disappearance of PH3 is 4 times the rate of appearance of H2.
e.
The rate of appearance of H2 is 6 times the rate of appearance of P4.
 

 2. 

Which of the following expressions relates the rates of reaction of NOCl(g) and Cl2(g)?

2 NOCl(g) → 2 NO(g) + Cl2(g)
a.
kinetics_files/i0030000.jpgkinetics_files/i0030001.jpg = kinetics_files/i0030002.jpg
b.
-2kinetics_files/i0030003.jpg = kinetics_files/i0030004.jpg
c.
kinetics_files/i0030005.jpg = kinetics_files/i0030006.jpg
d.
kinetics_files/i0030007.jpg = kinetics_files/i0030008.jpg
e.
kinetics_files/i0030009.jpg = kinetics_files/i0030010.jpg
 

 3. 

For the reaction A + 2B → C, the rate law is

kinetics_files/i0040000.jpg = k[A][B]2.

What are the units of the rate constant where time is measured in seconds?
a.
kinetics_files/i0040001.jpg
b.
kinetics_files/i0040002.jpg
c.
kinetics_files/i0040003.jpg
d.
kinetics_files/i0040004.jpg
e.
kinetics_files/i0040005.jpg
 

 4. 

The reaction of NO and O2 produces NO2.

2 NO(g) + O2(g) → 2 NO2(g)

The reaction is second-order with respect to NO(g) and first-order with respect to O2(g). At a given temperature, the rate constant, k, equals 6.1 x 103 M-2s-1. What is the rate of reaction when the initial concentrations of NO and O2 are 0.020 M and 0.015 M, respectively?
a.
9.8 x 10-10 M/s
b.
0.027 M/s
c.
0.037 M/s
d.
1.0 M/s
e.
1.8 M/s
 

 5. 

The half-life of a first-order decomposition reaction is 2.36 hours. If the initial concentration of reactant is 0.52 M, what is the concentration of reactant after 752 seconds?
a.
0.046 M
b.
0.16 M
c.
0.26 M
d.
0.47 M
e.
0.49 M
 

 6. 

What is the rate constant for a first-order reaction if the half-life of the reaction is 6.43 x 10-5 seconds?
a.
9.28 x 10-5 s-1
b.
0.0967 s-1
c.
10.3 s-1
d.
1.08 x 104 s-1
e.
1.56 x 104 s-1
 

 7. 

For the first-order decomposition of N2O5 at 340 K, where k = 5.8 x 10-3 s-1, calculate the original concentration if the concentration of N2O5 is 0.41 M after 209 seconds.
a.
0.12 M
b.
0.23 M
c.
0.72 M
d.
1.4 M
e.
1.7 M
 

 8. 

Hydrogen peroxide decomposes into water and oxygen in a first-order process.

H2O2(aq) →  H2O(l) + ½ O2(g)

At 20.0 °C, the half-life for the reaction is 3.92 x 104 seconds. If the initial concentration of hydrogen peroxide is 0.88 M, what is the concentration after 2.20 days?
a.
0.00 M
b.
0.031 M
c.
018 M
d.
0.44 M
e.
0.88 M
 

 9. 

The decomposition of formic acid follows first-order kinetics.

HCO2H(g) → CO2(g) + H2(g)

The half-life for the reaction at 550 °C is 24 seconds. How many seconds does it take for the formic acid concentration to decrease by 75%?
a.
6.0 s
b.
18 s
c.
24 s
d.
36 s
e.
48 s
 

 10. 

What is the half-life of a first-order reaction with a rate constant of 0.457 s-1?
a.
0.659 s
b.
0.783 s
c.
1.48 s
d.
1.52 s
e.
2.19 s
 

 11. 

For a chemical reaction, the activation energy for the forward reaction is +112 kJ and the activation energy for the backward reaction is +187 kJ. What is the overall energy change for the forward reaction?
a.
-299 kJ
b.
-75 kJ
c.
-0.599 kJ
d.
+75 kJ
e.
+299 kJ
 

 12. 

Given the initial rate data for the reaction A + B → C, determine the rate expression for the reaction.

[A], M
[B], M

Δ[C]/Δt (initial) M/s

0.250
0.150
8.90 x 10-6
0.250
0.300
1.78 x 10-5
0.500
0.300
7.12 x 10-5
a.
kinetics_files/i0130000.jpg = 2.37 x 10-4 M-1s-1 [A][B]
b.
kinetics_files/i0130001.jpg = 9.49 x 10-4 M-2s-1 [A]2[B]
c.
kinetics_files/i0130002.jpg = 1.58 x 10-3 M-2s-1 [A][B]2
d.
kinetics_files/i0130003.jpg = 6.33 x 10-3 M-3s-1 [A]2[B]2
e.
kinetics_files/i0130004.jpg = 3.80 x 10-3 M-3s-1 [A]3[B]
 

 13. 

For the reaction A → B, the rate law is

kinetics_files/i0140000.jpg = k[A].

What are the units of the rate constant where time is measured in seconds?
a.
kinetics_files/i0140001.jpg
b.
kinetics_files/i0140002.jpg
c.
kinetics_files/i0140003.jpg
d.
kinetics_files/i0140004.jpg
e.
kinetics_files/i0140005.jpg
 

 14. 

A student analyzed a first-order reaction and obtained the graph below. Unfortunately, the student forgot to label the axes. What are the correct labels for the x and y axes?

kinetics_files/i0150000.jpg
a.
x axis = time, y axis = ln[A]
b.
x axis = time, y axis = [A]
c.
x axis = time, y axis = 1/[A]
d.
x axis = 1/Time, y axis = [A]
e.
x axis = 1/Time, y axis = 1/[A]
 

 15. 

In basic solution, (CH3)3CCl reacts according to the equation below.

(CH3)3CCl + OH- → (CH3)3COH + Cl-

The accepted mechanism for the reaction is

(CH3)3CCl →(CH3)3C+ + Cl- (slow)
(CH3)3C+ + OH- (CH3)3COH (fast)

What is a rate law that is consistent with the mechanism for this reaction?
a.
rate = k[(CH3)3CCl]
b.
rate = k[(CH3)3CCl][OH-]
c.
rate = k[(CH3)3C+][OH-]
d.
rate = k[(CH3)3CCl][OH-]/[Cl-]
e.
rate = k[(CH3)3CCl] [OH-]/[Cl-]
 

 16. 

If the reaction rate for S2Cl2 + CCl4 CS2 + 3Cl2 is first order in S2Cl2 and second order in CCl4, then
a.
rate = k[S2Cl2][CCl4]2
b.
the rate doubles when the [S2Cl2] is doubled.
c.
the rate increases by a factor of four when [CCl4] is doubled.
d.
Each of the above statements is true.
e.
None of the above statements is true.
 

 17. 

The half-life for the radioactive decay of carbon-14 is 5730 years, while that of hydrogen-3 is 12.3 years.  This means that
a.
hydrogen decays at a faster rate than does carbon.
b.
carbon decay is a higher order reaction than hydrogen decay.
c.
more carbon than hydrogen is present in the world.
d.
the concentration of hydrogen is greater than the concentration of carbon.
e.
None of the above
 

 18. 

Given the initial rate data for the decomposition reaction,

A → B + C

determine the rate expression for the reaction.

[A], M
-Δ[A]/Δt M/s
0.110
7.81 ´ 10-3
0.220
3.12 ´ 10-2
0.330
7.03 ´ 10-2
a.
kinetics_files/i0190000.jpg = 7.10 ´ 10-2s-1[A]
b.
kinetics_files/i0190001.jpg = 0.645 M-1s-1[A]2
c.
kinetics_files/i0190002.jpg = 3.63 ´ 10-2M-1s-1[A]2
d.
kinetics_files/i0190003.jpg = 3.63 ´ 10-2M s-1
e.
kinetics_files/i0190004.jpg = 5.87 M-2s-1[A]3
 

 19. 

Given the initial rate data for the reaction A + B → C, determine the rate expression for the reaction.

[A], M
[B], M

Δ[C]/Δt (initial) M/s

0.334
0.134
4.11 ´ 10-9
0.334
0.187
8.00 ´ 10-9
0.668
0.134
4.11 ´ 10-9
a.
kinetics_files/i0200000.jpg = 2.75 ´ 10-7 M-2s-1[A]2[B]
b.
kinetics_files/i0200001.jpg = 3.07 ´ 10-8 s-1[B]
c.
kinetics_files/i0200002.jpg = 2.29 ´ 10-7 M-1s-1[B]2
d.
kinetics_files/i0200003.jpg = 6.85 ´ 10-7 M-2s-1[A][B]2
e.
kinetics_files/i0200004.jpg = 1.23 ´ 10-8 s-1[A]
 

 20. 

For the reaction 2A + B C, the rate law is

kinetics_files/i0210000.jpg = k[A]2[B].

Which of the factor(s) will affect the value of the rate constant for this reaction?

1.
Increasing the concentration of reactant A
2.
Adding a catalyst
3.
Increasing the temperature
a.
1 only
b.
2 only
c.
3 only
d.
2 and 3
e.
1, 2, and 3
 

 21. 

For a second-order decomposition reaction,

2A → B rate = k[A]2

which of the following functions can be plotted versus time to give a straight line?
a.
[A]
b.
[A]2
c.
lnkinetics_files/i0220000.jpg
d.
ln[A]
e.
kinetics_files/i0220001.jpg
 

 22. 

The reaction A B follows first-order kinetics with a half-life of 21.7 seconds. If the concentration of A is 0.430 M after 14.5 seconds, what is the initial concentration of A?
a.
0271 M
b.
0.287 M
c.
0.644 M
d.
0.683 M
e.
1.59 M
 

 23. 

For the zero-order reaction below, a graph of ____ versus time will generate a straight line.

A → B + C rate = k[A]0
a.
[A]
b.
kinetics_files/i0240000.jpg
c.
ln[A]
d.
kinetics_files/i0240001.jpg
e.
kinetics_files/i0240002.jpg
 

 24. 

The elementary steps for the catalyzed decomposition of dinitrogen monoxide are shown below.

N2O(g) + NO(g) N2(g) + NO2(g)
2 NO2(g) → 2 NO(g) + O2(g)

Which of the following statements are CORRECT?

1.
The overall balanced reaction is 2 N2O(g) → 2 N2(g) + O2(g).
2.
NO(g) is a catalyst for the reaction.
3.
N2(g) is a reaction intermediate.
a.
1 only
b.
2 only
c.
3 only
d.
1 and 2
e.
1, 2, and 3
 

 25. 

In basic solution, (CH3)3CCl reacts according to the equation below.

(CH3)3CCl + OH- (CH3)3COH + Cl-

The accepted mechanism for the reaction is

(CH3)3CCl → (CH3)3C+ + Cl- (slow)
(CH3)3C+ + OH- (CH3)3COH (fast)

What is a rate law that is consistent with the mechanism for this reaction?
a.
rate = k[(CH3)3CCl]
b.
rate = k[(CH3)3CCl][OH-]
c.
rate = k[(CH3)3C+][OH-]
d.
rate = k[(CH3)3CCl][OH-]/[Cl-]
e.
rate = k[(CH3)3CCl] [OH-]/[Cl-]
 



 
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