Suppose you measure the absorbance of a yellow dye solution in a 1.00 cm cuvette. the absorbance of the solution at 427 nm is 0.20. if the molar absorptivity of yellow dye at 427 nm is 27400 m–1cm–1, what is the concentration of the solution?

The concentration of the yellow dye solution as obtained is 7.29 × 10-⁶M.

BEER-LAMBERT EQUATION:

The concentration of a solution/sample measured using a spectrophotometer can be calculated using beer-lambert's equation as follows:

A = εbc

Where;

ε = molar absorptivity of the yellow dye solution b = the path length of cuvettec = the concentration of the yellow dye solutionA = absorbance of the yellow dye

c = A ÷ εb

According to this question, the absorbance of the yellow dye solution at 427 nm is 0.20, its molar absorptivity at 427 nm is 27400 M-¹cm-¹ and the cuvette length is 1.0cm. Hence, the concentration can be calculated as follows:

c = A ÷ εb

c = 0.20 ÷ (27400 × 1)

c = 0.20 ÷ 27400

c = 7.29 × 10-⁶M

Therefore, the concentration of the yellow dye solution as obtained is 7.29 × 10-⁶M.

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