
(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
(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
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Chapter 11 Solutions
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