Chapter 14, Problem 90IL

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The acid-catalyzed iodination of acetoneCH3COCH3(aq) + I2(aq) → CH3COCH2I(aq) + HI(aq)is a common laboratory experiment used in general chemistry courses to teach the method of initial rates. The reaction is followed spectrophotometrically by the disappearance of the color of iodine in the solution. The following data (J. P. Birk and D. L Walters, Journal of Chemical Education, Vol. 69, p. 585, 1992) were collected at 23 °C for this reaction.Determine the rate law for this reaction.

Interpretation Introduction

Interpretation:

The rate law should be determined for the given chemical reaction.

Concept Introduction:

Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

Rate constant: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

Explanation

The rate law is obtained by first determining the order of each reactant present in the given reaction. The order of each reactant is obtained by using the given set of concentration and the rate data as follows,

The order for CH3COCH3 is obtained by considering the experiment 2 and 3 from the given data.

â€‚Â 23â€Šâ€Šisâ€‰â€Šâ€Šasâ€‰â€Šâ€Šfollows,[CH3COCH3]2[CH3COCH3]3â€Šâ€Šâ€Š[H+]2[H+]3â€Šâ€Šâ€Š[I2]2[I2]3â€Šâ€Š=â€Šâ€Šâ€Š[Rate]2[Rate]31.33â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Š0.323â€Šâ€Šâ€Šâ€Š0.00665â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ†’â€Šâ€Š1.7Ã—10-50.667â€Šâ€Šâ€Šâ€Šâ€Šâ€Š0.323â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Š0.00665â€Šâ€Šâ€Šâ€Šâ€Šâ†’â€Šâ€Šâ€Šâ€Š7.6Ã—10-6 _â€Šâ€Šâ€Šâ€Šâ€Š2â€Šmâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ†’â€Šâ€Šâ€Šâ€Šâ€Š21

The order for CH3COCH3 is 1.

Similarly, the order for H+ is obtained as follow,

â€‚Â 12â€Šâ€‰â€Šisâ€Šâ€Šâ€‰asâ€Šâ€Šfollows,[CH3COCH3]1[CH3COCH3]2â€Šâ€Šâ€Š[H+]1[H+]2â€Šâ€Šâ€Š[I2]1[I2]2â€Šâ€Š=â€Šâ€Šâ€Š[Rate]1[Rate]21.33â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Š0.162â€Šâ€Šâ€Šâ€Š0.00665â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ†’â€Šâ€Š8.1Ã—10-61.33â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Š0.323â€Šâ€Šâ€Šâ€Š0.00665â€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ€Šâ†’â€Šâ€Šâ€Šâ€Š1

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