Suppose you measure the absorbance of a yellow dye solution in a 1.00 cm cuvette (b=1.00 cm).The absorbance of the solution at 427 nm is 0.44 . If the molar absorptivity of yellow dye at 427 nm is 27400 M–1cm–1, what is the concentration of the solution in M?
Question
Suppose you measure the absorbance of a yellow dye solution in a 1.00 cm cuvette (b=1.00 cm).The absorbance of the solution at 427 nm is 0.44 . If the molar absorptivity of yellow dye at 427 nm is 27400 M–1cm–1, what is the concentration of the solution in M?
Solution
To find the concentration of the solution, we can use the Beer-Lambert law, which states that the absorbance (A) of a solution is directly proportional to its concentration (c) and the path length (b). The equation is:
A = εbc
where: A is the absorbance, ε is the molar absorptivity, b is the path length, and c is the concentration.
We can rearrange this equation to solve for the concentration:
c = A / (εb)
Substituting the given values into the equation:
c = 0.44 / (27400 M–1cm–1 * 1.00 cm)
c = 0.44 / 27400 M–1cm–1
c = 1.61 x 10^-5 M
So, the concentration of the solution is 1.61 x 10^-5 M.
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