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AP Chemistry
3.13 Beer-Lambert Law
IntermediateMCQMathematical20.4k
A student generates a calibration curve to determine the concentration of a blue dye in a sports drink. The absorbance of four standard solutions of the dye is measured at a wavelength of \(630\text{ nm}\) using a cuvette with a path length of \(1.00\text{ cm}\), producing the data shown below.

SolutionConcentration (M)Absorbance
Standard 1\(2.0 \times 10^{-5}\)\(0.16\)
Standard 2\(4.0 \times 10^{-5}\)\(0.32\)
Standard 3\(6.0 \times 10^{-5}\)\(0.48\)
Standard 4\(8.0 \times 10^{-5}\)\(0.64\)

To analyze the sports drink, the student transfers a \(5.0\text{ mL}\) sample of the drink into a volumetric flask and adds distilled water to bring the total volume to \(25.0\text{ mL}\). The absorbance of this diluted solution, measured at \(630\text{ nm}\) in the same cuvette, is \(0.40\). Based on the data in the table, what is the concentration of the dye in the original, undiluted sports drink?

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