The rate of a first-order reaction is followed by spectroscopy, monitoring the absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.14-cm sample cell, and the only colored species in the reaction has an extinction coefficient of 5900 cm^−1M^−1 at 520 nm. Part A: Calculate the initial concentration of the colored reactant if the absorbance is 0.511 at the beginning of the reaction. Part B: The absorbance falls to 0.238 at 29.0 min. Calculate the rate constant in units of s−1. Part C: Calculate the half-life of the reaction. Part D: How long does it take for the absorbance to fall to 0.141?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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The rate of a first-order reaction is followed by spectroscopy, monitoring the absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.14-cm sample cell, and the only colored species in the reaction has an extinction coefficient of 5900 cm^−1M^−1 at 520 nm. 

Part A: Calculate the initial concentration of the colored reactant if the absorbance is 0.511 at the beginning of the reaction.

Part B: The absorbance falls to 0.238 at 29.0 min. Calculate the rate constant in units of s−1.

Part C: Calculate the half-life of the reaction.

Part D: How long does it take for the absorbance to fall to 0.141?

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