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. [X] (M) Absorbance (A) 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 ? (a) Calculate the initial concentration of the unknown species. A = ɛbc (b) Calculate the rate constant for the first order reaction using the values given for concentration and time. Include units with your answers.
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.
[X] (M) |
Absorbance (A)
|
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 |
?
|
(a) Calculate the initial concentration of the unknown species. A = ɛbc
(b) Calculate the rate constant for the first order reaction using the values given for concentration and time. Include units with your answers.
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