(a)
Interpretation:
It has to be shown that the reaction obeys the rate law as given below.
Concept Introduction:
In a first-order reaction, the graph of concentration vs. rate is linear.
(a)
Explanation of Solution
Average concentrations can be calculated as given below.
From
From
From
From
From
From
The average rate and concentration is given in the table below.
Average concentration ( | Average rate ( |
A graph of concentration vs. rate is given below.
Figure 1
The above graph is linear which satisfies the rate law.
(b)
Interpretation:
The rate constant
(b)
Answer to Problem 14QRT
The average value of
Explanation of Solution
The rate constant
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
From
Average rate is
Average concentration is
Then, the rate constant can be calculated as given below.
The average value of
(c)
Interpretation:
The reaction rate exactly
(c)
Answer to Problem 14QRT
The reaction rate exactly
Explanation of Solution
The initial concentration of
The rate law describes that the reaction is a first-order reaction. The integrated first-order rate law is given below.
Now, the rate of the reaction at
Therefore, the reaction rate exactly
Want to see more full solutions like this?
Chapter 11 Solutions
Chemistry: The Molecular Science
- Sucrose, a sugar, decomposes in acid solution to give glucose and fructose. The reaction is first-order in sucrose, and the rate constant at 25 C is k = 0.21 h1. If the initial concentration of sucrose is 0.010 mol/L, what is its concentration after 5.0 h?arrow_forwardThe decomposition of iodoethane in the gas phase proceeds according to the following equation: C2H5I(g)C2H4(g)+HI(g) At 660. K, k = 7.2 104 sl; at 720. K, k = 1.7 102 sl. What is the value of the rate constant for this first-order decomposition at 325C? If the initial pressure of iodoethane is 894 torr at 245C, what is the pressure of iodoethane after three half-lives?arrow_forwardThe following rate constants were obtained in an experiment in which the decomposition of gaseous N2O; was studied as a function of temperature. The products were NO, and NO,. Temperature (K) 3.5 x 10_i 298 2.2 x 10"4 308 6.8 X IO-4 318 3.1 x 10 1 328 Determine Etfor this reaction in kj/mol.arrow_forward
- At 573 K, gaseous NO2(g) decomposes, forming NO(g) and O2(g). If a vessel containing NO2(g) has an initial concentration of 1.9 102 mol/L, how long will it take for 75% of the NO2(g) to decompose? The decomposition of NO2(g) is second-order in the reactant and the rate constant for this reaction, at 573 K, is 1.1 L/mol s.arrow_forwardOne possible mechanism for the decomposition of nitryl chloride, NO2CI, is What is the overall reaction? What rate law would be derived from this mechanism? What effect does increasing the concentration of the product NO2 have on the reaction rate?arrow_forwardExpress the rate of the reaction 2N2O(g)2N2(g)+O2(g) in terms of (b) [ N2O ] (a) [ O2 ]arrow_forward
- The label on a bottle of 3% (by volume) hydrogen peroxide, H2O2, purchased at a grocery store, states that the solution should be stored in a cool, dark place. H2O2decomposes slowly over time, and the rate of decomposition increases with an increase in temperature and in the presence of light. However, the rate of decomposition increases dramatically if a small amount of powdered MnO- is added to the solution. The decomposition products are H2O and O2. MnO2 is not consumed in the reaction. Write the equation for the decomposition of H2O2. What role does MnO2 play? In the chemistry lab, a student substituted a chunk of MnO2 for the powdered compound. The reaction rate was not appreciably increased. WTiat is one possible explanation for this observation? Is MnO2 part of the stoichiometry of the decomposition of H2O2?arrow_forwardUnder certain conditions the decomposition of ammonia on a metal surface gives the following data: [NH3] (M) 1.0103 2.0103 3.0103 Rate (moI/L/h1) 1.5106 1.5106 1.5106 Determine the rate equation, the rate constant, and the overall order for this reaction.arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
- Chemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning