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How to determine equilibrium solute concentration?


I'm doing an experiment in my third year physical chemistry course where I need to determine the CMC, CAC and effective surface area of CPBr on a Silica surface. My Langmuir adsorption isotherm, with the linear langmuir adsorption isotherm making a distinct Z shape and the log one is just a scribble. I think the reason it looks so different than predicted is because I'm not entirely sure if I'm using the equilibrium solute concentration. I'm using the concentration of the supernatant solution that was examined with a UV-vis spectrophotometer, but I can't find anything in the literature about WHICH concentration to use. The adsorbed concentration doesn't work either, which was mainly tried as I had no other options. I know this was long and rambling but I'd appreciate any and all help


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