# Problem: A colored dye compound decomposes to give a colorless product. The original dye absorbs at 608 nm and has an extinction coefficient of 4.7 104 M-1 cm-1 at that wavelength. You perform the decomposition reaction in a 1-cm cuvette in a spectrometer and obtain the following data: Time (min)  Absorbance at 608 nm 01.254300.941600.752900.6721200.545Determine the rate constant for the reaction.

###### FREE Expert Solution

We are being asked to determine the rate constant for the reaction given the following data:

 Time (min) Absorbance at 608 nm 0 1.254 30 0.941 60 0.752 90 0.672 120 0.545

Recall: In chemical kinetics, a reaction rate constant or reaction rate coefficient, k, quantifies the rate of a chemical reaction

For a zero-order reaction, the integrated rate law is given by

where k = rate constant, [A]t = final concentration, [A]0 = initial concentration, t = time. plot of [A] versus time will be a straight line with slope of –k.

For a first-order reaction, the integrated rate law is given by

where k = rate constant, [A]t = final concentration, [A]0 = initial concentration, t = time. plot of ln[A] versus time yields a straight line with a slope of –k.

100% (51 ratings) ###### Problem Details
A colored dye compound decomposes to give a colorless product. The original dye absorbs at 608 nm and has an extinction coefficient of 4.7 104 M-1 cm-1 at that wavelength. You perform the decomposition reaction in a 1-cm cuvette in a spectrometer and obtain the following data:

 Time (min) Absorbance at 608 nm 0 1.254 30 0.941 60 0.752 90 0.672 120 0.545

Determine the rate constant for the reaction.