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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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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