1. Define Reaction Rate
2. TRUE or FALSE: Changes in the temperature or the introduction of a catalyst will affect the rate constant of a reaction
For sample problems 3-6, use Formula 1 to answer the questions
`H_2 O -> 2H_2 + O_2`( 1)*Assume the reaction occurs at constant temperature
3. For the given reaction above, state the rate law.
4. State the overall order of the reaction.
5. Find the rate, given k = 1.14 x 10-2 and [H2O] = 2.04M
6. Find the half-life of the reaction.
7. Define Reaction Order
Use the following information to solve questions 8 and 9:
Given the rate law equation: Rate = k[A]1[B]2
8 a) Determine the reaction order with respect to A, b) the reaction order with respect to B, and c) the total reaction order for the equation.
Use the data table below to answer questions 9 and 10
Experiment | [A] M | [B] M | Rate M Min-1 |
1 | 0.100 | 0.100 | 1.0 x 10-3 |
2 | 0.400 | 0.100 | 2.0 X 10-3 |
3 | 0.100 | 0.150 | 2.0 x 10-3 |
9. Use The Differential Method to determine the reaction order with respect to A (x) and B (y). What is the total reaction order (n)?
10. What is the rate constant k?
11. Using the integrated form of the rate law, determine the rate constant k of a zero-order reaction if the initial concentration of substance A is 1.5 M and after 120 seconds the concentration of substance A is 0.75 M.
12. Using the substance from the previous problem, what is the half-life of substance A if its original concentration is 1.2 M?
13. Given the following information, determine the order of the reaction and the value of k, the reaction constant.
Concentration (M) Time (s)
1.0 10
.50 20
.33 30
*Hint: Begin by graphing
14. The reaction between nitric oxide and oxygen:
`2NO + O_2 -> 2NO_2`
is found experimentally to obey the rate law
Rate `= k(c_(NO))^2 (c_(O_2))`
Decide which of the following mechanisms is compatible with this rate law:
a) `NO + NO -> N_2O_2` fast
`N_2O_2 + O_2 -> 2NO_2` slow
b) `NO + NO -> NO_2 + N` slow
`N + O_2 -> NO_2` fast
c) NO + O_2 0 -> NO_3 fast
`NO_3 + NO -> 2NO_2` slow
d) `NO + O_2 -> NO_2 + O` slow
`NO + O -> NO_2` fast
15. Suppose the activation energy of a certain reaction is 250 kJ/mol. If the rate constant at `T_1 = 300 K is k_1`, and the rate constant at `T_2 = 320 K` is `k_2`, then `k_2"/"k_1` = _______. (The universal gas constant = 8.314 J/mol•K.)
(a) `3 x 10^(-29)` (b) `0.067` (c) `15.0` (d) `525` (e) `3 x 10^(28)`
16. The reaction, `A + 2B -> B^2 + A`, proceeds by the following mechanism: (A is a catalyst.)
` A + B -> AB` (slow)
`AB + B -> B^2 + A` (fast)
What is the rate law expression for this reaction?
17. The rate-law expression for the following reaction is found to be rate = k[N2O5]. What is the overall reaction order?
`2N_2O_5(g) -> 4NO_2(g) + O_2(g)`
18. Given these data for the following reaction:
(C2H5)2(NH2) + I2 -> (C2H5)2N2 + 2HI
a) a) Write the rate-law expression.
b) b) What is the value, with units, for the specific rate constant?
19. a) Using the following information, determine the half life of this reaction, assuming there is a single reactant.
Concentration (M) Time (s)
2.0 0
1.3 10
.9633 20
b) Given the information from the previous problem, what is the concentration after 5 minutes?
20. The second-order rate constant for the following gas phase reaction is 0.0442 M-1s-1. We start with 0.135 mol C2F4 in a 2.00 L container with no product initially present.
a) What will the concentration of C2F4 after 1.00 hour?
c)What is the half-life of the reaction from the initial C2F4 concentration given in part (a)?
d)How long will it take for half of the C2F4 that remains after 1.00 hour to disappear?
21. The rate constant for a first-order reaction is 0.58 s–1 at 25 oC. At what temperature would the rate constant have a value of 0.75 s–1? The activation energy is 84 kJ/mol and the universal gas constant = 8.314 J/mol•K. (Hint: use the following manipulation of the Arrhenius equation
`ln[(k_2)/(k_1)] = (E_a)/(R) [1/(T_1) - 1/(T_2)]`
Expt. |
[(C2H5)2(NH2)]0 (mol/L) |
[I2]0 (mol/L) |
Initial Rate of Formation of (C2H5)2N2 |
1 | 0.015 | 0.015 | 3.15 M/s |
2 | 0.015 | 0.045 | 9.45 M/s |
3 | 0.030 | 0.045 | 18.9 M/s |
Subpages (1): Answers to Chapter 13 End of Chapter Problems