I'm not really sure how to approach this problem. I thought you could substitute the half life equation into the integrated equation for first order reactions, but that didn't work. The reaction A → Cis first order in the reactant A and is known to go to completion.The product C is colored and absorbs light strongly at 550 nm, while the reactant andintermediates are colorless. A solution of A was prepared, and the absorbance of C at550 nm was measured as a function of time. (Note that the absorbance of C is directlyproportional to its concentration.) Use the following data to determine the half-life ofthe reaction:Time (s)Absorbance0.0000.444100.7241.188201002001.2005001.200

Given: wavelength = 550 nm Time (s) Absorbance 0 0.000 10 0.444 20 0.724 100 1.188 200…

Answered: The reaction A C is first order in the…

Chemistry: Principles and Reactions

8th Edition

ISBN:9781305079373

Author:William L. Masterton, Cecile N. Hurley

Publisher:William L. Masterton, Cecile N. Hurley

Chapter11: Rate Of Reaction

Section: Chapter Questions

Problem 37QAP: The first-order rate constant for the decomposition of a certain hormone in water at 25C is...

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I'm not really sure how to approach this problem. I thought you could substitute the half life equation into the integrated equation for first order reactions, but that didn't work.

The reaction A → Cis first order in the reactant A and is known to go to completion.
The product C is colored and absorbs light strongly at 550 nm, while the reactant and
intermediates are colorless. A solution of A was prepared, and the absorbance of C at
550 nm was measured as a function of time. (Note that the absorbance of C is directly
proportional to its concentration.) Use the following data to determine the half-life of
the reaction:
Time (s)
Absorbance
0.000
0.444
10
0.724
1.188
20
100
200
1.200
500
1.200

Expert Solution

Step 1

Given:

wavelength = 550 nm

Time (s)	Absorbance
0	0.000
10	0.444
20	0.724
100	1.188
200	1.200
500	1.200

formula = [C] = $\frac{A}{λ}$

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