
Question about absorptivity - food dye experiment
For my last college lab experiment we were tasked with creating our own procedure to identify an unknown food dye from a melted red, orange or pink Freezes. It's designed so there's only one food dye for students identify, however my prof said she was confident my partner and I could attempt the more challenging version of this lab, identify multiple dyes in a green Freeze. Alongside the identifying the LOD, LOQ, either the %(w/w) OR %(w/v), the "quality" of our data, and whether or not the data is "reportable."
We found brilliant blue at 632nm (blank-corrected ABS of 0.320) & tartrazine yellow at 414nm (blank-corrected ABS of 0.259) through a multi-wavelength scan of a diluted green Freeze sol'n (20.0mL diluted to 100.0mL). We did a calibration curve for known concentrations of brilliant blue (2, 5, & 10ppm; 792.85g/mol), and for known concentrations of tartrazine yellow (2, 5, 10, & 20ppm; 534.36g/mol).
Here's where my partner and I are confused: we only measured absorbance of brilliant blue at 632nm, and absorbance of tartrazine yellow at 414nm, and the formula she sent us appears to need an absorbance readings of both yellow and blue dyes at both the identified wavelengths to calculate the absorptivity for both yellow and blue at the identified wavelengths, 414nm and 632nm. Or is it possible for us to calculate the missing absorptivity values from the data we collected? Is it possible for us to report anything?
I've attached a screenshot of the formulas provided to us (from a similar lab procedure, but identifying caffeine and benzoic acid/sodium benzoate).
Please let me know if more info is needed, I have an excel sheet with the current calculations done thus far.