Instrumental analysis finding the concenration

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The discussion focuses on using the method of standard addition to determine caffeine concentration in brewed coffee while addressing volume changes after spiking. Two sample portions are prepared: one with added water and another spiked with a known caffeine concentration. Measured absorbance values of 243 units and 387 units are obtained for each portion. Participants clarify that while background intensity is typically needed, it is not necessary when absorbance values are provided, and they confirm the applicability of Beer-Lambert law. The conversation emphasizes the importance of accounting for volume changes in the analysis.
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Homework Statement



The analysis for method of standard addition can be simplified significantly if the volume of the test solution is held constant. However, in some cases, it is difficult to avoid significant volume change after the sample is spiked with known concentrations of the analyte. The change in volume needs to be considered. A sample of coffee is analyzed to determine its caffeine concentration. Two portions of the sample are prepared for analysis. The first portion contains 50.0 ML of brewed coffee, which is added 10.0 ml of water. The second portion contains 50.0 ml of brewed coffee that has been spiked with 10.ml of an aqueous solution that contains 1.0 x10‐2 M caffeine. The first portion of the sample is found to give a measured absorbance of 243 units. And the second portion gives an absorbance of 387 units. What is the concentration of caffeine in the brewed coffee?


Homework Equations



We need to use standard addition. a background and intensity for each. I am not sure if beer's law is applicable

The Attempt at a Solution



So I understand how standard addition works. But I cannot think of a way to find the concentration without the background intensity and the intensity for each portion.
 
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As I told you in other thread - you don't need intensity, if absorbance is given. And yes, Beer–Lambert law is applicable.
 
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Ok, I will try beer's law
 
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