AP Chemistry
3.13 Beer-Lambert Law
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.
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?
| 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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