A food-dye manufacturer prepares four quality-control samples (A, B, C, D) that all…

CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A food-dye manufacturer prepares four quality-control samples (A, B, C, D) that all contain the same dye dissolved in water. Each sample is placed in an identical 1.00 cm1.00\,\text{cm} cuvette, and the absorbance of each solution is measured at the dye’s maximum-absorbance wavelength. Measured absorbances: A = 0.033 B = 0.120 C = 0.089 D = 0.056 Independent analysis has already established that Sample C has a dye concentration of 1.50×10−4 M1.50 \times 10^{-4}\,\text{M}. (1) Part 1: (a) Rank the four samples from the lowest to the highest dye concentration. Justify your ranking. (2) Part 2: (b) Calculate the dye concentration (in mol L−1\text{mol}\,L^{-1}) of Sample B. Show your work and express the answer with appropriate significant figures.

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