If dye x has a molar absorptivity, ε = 4.50 x 104 cm-1 m-1, at a certain wavelength, what concentration of the dye, in a 1.00 cm cuvette cell will produce an absorbance of 0.417?

For this problem, the working equation should be used from the Beer's Law:

A = ∈lc,

where

A is the absorbance

∈ is the molar absorptivity

l is the length of path of the cuvette diameter

C is the concentration of the sample placed inside the cuvette

Substituting the values:

0.417 = (4.50*10⁴ cm⁻¹ M⁻¹) (1 cm) (C)

Solving for C:

C = 9.27 * 10⁻⁶ M