
(a)
Interpretation:
The complete rate law for the hydrolysis of benzene sulfonyl chloride in presence of fluoride ion has to be derived.
(a)

Explanation of Solution
The rate is affected by the concentration of Benzenesulfonyl chloride
Where
In order to study the effect of
Therefore the adjusted rate law can be written in the following form.
Adjusted rate
The experiments
It is clear that the concentration change and the adjusted rate change are almost equal, so the fluoride ion concentration and adjusted rate are proportional. Though it is only an approximate relationship, a graph can be drawn by taking log of the rate on y axis and
Figure 1
Therefore it is clear that the reaction is first order with respect to fluoride ion in the adjusted rate law.
So the rate can be written s follows,
(b)
Interpretation:
The rate constant has to be calculated for the hydrolysis of benzene sulfonyl chloride in presence of fluoride ion.
(b)

Explanation of Solution
The rate constant can be determined using the adjusted rate law as follows,
The rate constant can be calculated for the all the experiments with non-zero fluoride ion can be calculated as follows,
Therefore the average value of the rate constant is
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Chapter 11 Solutions
Chemistry: The Molecular Science
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