The molar extinction coefficients for A and B at =450 nm are ɛ=2,000. and ɛ=3000. M cm'. At A=650 nm, the molar extinction coefficients are ɛ=1,000. for both compounds. If a sample containing both species had absorbance values at 2=600 nm are A=0.070 and at 1=400 nm are A=0.185, what concentrations of A and B are present in the unknown solution? Assume that the absorbances are additive and that the measurements were made using a 1-cm cuvette. Show your work.

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Chapter1: Chemical Foundations
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**Problem Statement:**

The molar extinction coefficients for A and B at \( \lambda = 450 \, \text{nm} \) are \( \varepsilon = 2,000 \, \text{M}^{-1}\text{cm}^{-1} \) and \( \varepsilon = 3,000 \, \text{M}^{-1}\text{cm}^{-1} \). At \( \lambda = 650 \, \text{nm} \), the molar extinction coefficients are \( \varepsilon = 1,000 \, \text{M}^{-1}\text{cm}^{-1} \) for both compounds. If a sample containing both species had absorbance values at \( \lambda = 600 \, \text{nm} \) of \( A = 0.070 \) and at \( \lambda = 400 \, \text{nm} \) are \( A = 0.185 \), what concentrations of A and B are present in the unknown solution? Assume that the absorbances are additive and that the measurements were made using a 1-cm cuvette. Show your work.
Transcribed Image Text:**Problem Statement:** The molar extinction coefficients for A and B at \( \lambda = 450 \, \text{nm} \) are \( \varepsilon = 2,000 \, \text{M}^{-1}\text{cm}^{-1} \) and \( \varepsilon = 3,000 \, \text{M}^{-1}\text{cm}^{-1} \). At \( \lambda = 650 \, \text{nm} \), the molar extinction coefficients are \( \varepsilon = 1,000 \, \text{M}^{-1}\text{cm}^{-1} \) for both compounds. If a sample containing both species had absorbance values at \( \lambda = 600 \, \text{nm} \) of \( A = 0.070 \) and at \( \lambda = 400 \, \text{nm} \) are \( A = 0.185 \), what concentrations of A and B are present in the unknown solution? Assume that the absorbances are additive and that the measurements were made using a 1-cm cuvette. Show your work.
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