Question

The reported molar absorptivity of Red Dye #3 is 0.628 L mol-1 cm-1. If a solution of Red Dye #3 displays an absorbance of 1.456 in a cuvette that is 1.609 cm in length, what is the concentration of the dye in solution? Report your response to three digits after the decimal. _____ M

Answer 1

The concentration of the Red Dye #3 in solution is approximately 1.61 M.

Step-by-step explanation:

To calculate the concentration of the dye in solution, we can use Beer's Law, which states that the absorbance (A) of a solution is directly proportional to its concentration (c) and the path length (l) of the cuvette. The equation for Beer's Law is A = ɛcl, where ɛ is the molar absorptivity. In this case, the absorbance is 1.456, the path length is 1.609 cm, and the molar absorptivity is 0.628 L mol-1 cm-1. Plugging these values into the equation, we get 1.456 = (0.628)(c)(1.609). Solving for c, the concentration of the dye in solution is approximately 1.61 M.