Problem 3: Chemical Kinetics. Context: Spectroscopy is the study of the absorption and emission of light and other radiation by matter. It involves the splitting of light (or more precisely electromagnetic radiation) into its constituent wavelengths (a spectrum), which is done in much the same way as a prism splits light into a rainbow of colors. The rate of a first-order reaction is followed by this technique [spectroscopy], monitoring the absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.00- cm sample cell, and the only colored species in the reaction has an extinction coefficient of 5.60 x 103 M-cm-1 at 520 nm. (a) Calculate the initial concentration of the colored reactant if the absorbance is 0.605 at the beginning of the reaction. (b) The absorbance falls to 0.250 at 30.0 min. Calculate the rate constant in units of s-1. (c) Calculate the half-life of the reaction, (d) How long does it take for the absorbance to fall to 0.100?

Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
Section14.7: Reaction Mechanisms
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Problem 3: Chemical Kinetics. Context: Spectroscopy is the study of the
absorption and emission of light and other radiation by matter. It involves
the splitting of light (or more precisely electromagnetic radiation) into its
constituent wavelengths (a spectrum), which is done in much the same way
as a prism splits light into a rainbow of colors. The rate of a first-order
reaction is followed by this technique [spectroscopy), monitoring the
absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.00-
cm sample cell, and the only colored species in the reaction has an extinction
coefficient of 5.60 x 103 M-1cm-1 at 520 nm. (a) Calculate the initial
concentration of the colored reactant if the absorbance is 0.605 at the
beginning of the reaction. (b) The absorbance falls to 0.250 at 30.0 min. Calculate the rate constant in units of
s-1. (c) Calculate the half-life of the reaction, (d) How long does it take for the absorbance to fall to 0.100?
Transcribed Image Text:Problem 3: Chemical Kinetics. Context: Spectroscopy is the study of the absorption and emission of light and other radiation by matter. It involves the splitting of light (or more precisely electromagnetic radiation) into its constituent wavelengths (a spectrum), which is done in much the same way as a prism splits light into a rainbow of colors. The rate of a first-order reaction is followed by this technique [spectroscopy), monitoring the absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.00- cm sample cell, and the only colored species in the reaction has an extinction coefficient of 5.60 x 103 M-1cm-1 at 520 nm. (a) Calculate the initial concentration of the colored reactant if the absorbance is 0.605 at the beginning of the reaction. (b) The absorbance falls to 0.250 at 30.0 min. Calculate the rate constant in units of s-1. (c) Calculate the half-life of the reaction, (d) How long does it take for the absorbance to fall to 0.100?
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