The first-order decomposition of a colored chemical species, X, into colorless products is monitored with a spectrophotometer by measuring changes in absorbance over time. Species X has a molar absorptivity constant of 5.00 × 103 cm–1 M–1 and the path length of the cuvette containing the reaction mixture is 1.00 cm. The data from the experiment are given in the table below. the rate constant for this reaction is 0.0478 min [X] (M) Absorbance (Abs) Time (min) ? 0.600 0.0 4.00x10–5 0.200 35.0 3.00x10–5 0.150 44.2 1.50x10–5 0.075 ? Calculate the half-life of the reaction. Include units in your answer and what would you plot on the x and y axes to create a linear graph for this reaction?
The first-order decomposition of a colored chemical species, X, into colorless products is monitored with a spectrophotometer by measuring changes in absorbance over time. Species X has a molar absorptivity constant of 5.00 × 103 cm–1 M–1 and the path length of the cuvette containing the reaction mixture is 1.00 cm. The data from the experiment are given in the table below. the rate constant for this reaction is 0.0478 min [X] (M) Absorbance (Abs) Time (min) ? 0.600 0.0 4.00x10–5 0.200 35.0 3.00x10–5 0.150 44.2 1.50x10–5 0.075 ? Calculate the half-life of the reaction. Include units in your answer and what would you plot on the x and y axes to create a linear graph for this reaction?
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter11: Chemical Kinetics: Rates Of Reactions
Section: Chapter Questions
Problem 52QRT
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The first-order decomposition of a colored chemical species, X, into colorless products is monitored with a spectrophotometer by measuring changes in absorbance over time. Species X has a molar absorptivity constant of 5.00 × 103 cm–1 M–1 and the path length of the cuvette containing the reaction mixture is 1.00 cm. The data from the experiment are given in the table below.
the rate constant for this reaction is 0.0478 min
|
[X] (M) |
Absorbance (Abs)
|
Time (min) |
|
? |
0.600 |
0.0 |
|
4.00x10–5 |
0.200 |
35.0 |
|
3.00x10–5 |
0.150 |
44.2 |
|
1.50x10–5 |
0.075 |
? |
Calculate the half-life of the reaction. Include units in your answer and what would you plot on the x and y axes to create a linear graph for this reaction?
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