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 initial concentration of the unknown species. Abs = abc and calculate the time it takes for the absorbance to drop from 0.600 to 0.075

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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 initial concentration of the unknown species. Abs = abc and calculate the time it takes for the absorbance to drop from 0.600 to 0.075

 

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