(a)
Interpretation:
The order of the reaction should be determined with respect to oxygen atoms.
Concept Introduction:
Rate Law can be expressed as an integrated rate law and a differential rate law.
Differential Rate Law: This describes the change in the concentrations of reactant as a function of time.
Integrated Rate Law: This describes the initial concentrations and the measured concentration of one or more reactants as a function of time.
(a)
Answer to Problem 36E
The reaction is first order reaction with respect to oxygen.
Explanation of Solution
Given information:
Data is given as:
Time (s) | |
0 | |
The order of reaction can be determined by plotting the graph between
For first order reaction:
For second order reaction:
For zero order reaction:
The given reaction is:
Now, if the reaction is first order with respect to oxygen, then the integrated law is expressed as:
If the reaction is second order with respect to oxygen, then the integrated law is expressed as:
If the reaction is zero order with respect to oxygen, then the integrated law is expressed as:
Time (s) | ||
0 | 22.3327 | |
21.36512 | ||
20.3376 | ||
19.33697 |
The graph between
The graph between
The graph between
From the above graphs, it is clear that the reaction is first order reaction with respect to oxygen as the graph is straight line graph.
(b)
Interpretation:
The overall rate law and value of rate constant should be calculated.
Concept Introduction:
Rate Law can be expressed as an integrated rate law and a differential rate law.
Differential Rate Law: This describes the change in the concentrations of reactant as a function of time.
Integrated Rate Law: This describes the initial concentrations and the measured concentration of one or more reactants as a function of time.
(b)
Answer to Problem 36E
Rate law is expressed as:
Since, concentration of nitrogen dioxide is more in comparison to oxygen, thus, rate law is written as:
Rate constant for first order reaction is
Explanation of Solution
Given information:
Data is given as:
Time (s) | |
0 | |
The order of reaction can be determined by plotting the graph between
For first order reaction:
For second order reaction:
For zero order reaction:
The given reaction is:
Rate Law for first is expressed as:
Since, it is given that nitrogen dioxide is present in large amount in comparison to oxygen.
Thus, rate law is expressed as:
Where,
Now, from the graph slope is given as:
Slope =
Put the values from graph,
Slope =
Slope =
Thus, value of
Now,
Put the values,
Thus, rate constant for first order reaction is
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Chapter 15 Solutions
Chemical Principles
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