He reported molar absorptivity of Red Dye #3 is 1.217 L mol-1 cm-1. If a solution of Red Dye #3 displays an absorbance of 0.699 in a cuvette that is 1.526 cm in length, what is the concentration of the dye in solution? Report your response to three digits after the decimal. M

Concentration of the solution is 0.376M

Explanation:

Lambert-Beer's law describes the absorbance of a solution that is directely proportional to concentration of the solution, molar absorptivity and path length. The law is:

A = ε×C×l

Where A is absorbance (0.699 for Red Dye #3), ε is molar absorptivity (1.217L mol⁻¹cm⁻¹), C is concentration of solution and l is path length (1.526cm)

Replacing:

0.699 = 1.217L mol⁻¹cm⁻¹×C×1.526cm

C = 0.3764 mol/L

Concentration of the solution is 0.376M