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AP Chemistry
3.13 Beer-Lambert Law
AdvancedMCQMathematicalExperimental15.3k
A student determines the concentration of a light-absorbing pigment using standard solutions and a spectrophotometer. Each solution is measured in a cuvette with a path length of \(2.00\ \text{cm}\). The calibration data are shown below.

Standard concentration, \(c\) (\(\text{mol/L}\))Absorbance, \(A\)
\(0\)\(0.100\)
\(5.00 \times 10^{-5}\)\(0.300\)
\(1.00 \times 10^{-4}\)\(0.500\)
\(1.50 \times 10^{-4}\)\(0.700\)

The calibration line follows the relationship
\[ A=\epsilon bc+A_0 \]
where \(A_0\) is the absorbance of the blank. An unknown pigment solution measured under the same conditions has an absorbance of \(0.600\). Which ordered pair \(\left(c_{\text{unknown}},\epsilon\right)\) is consistent with the data?

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