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The conclusion of that definition would be that the molar absorptivities are the same for both species, but the concentrations and absorbances of those species aren't equal, right?
Here is the problem that confused me: http://www.chem.msu.ru/rus/olimpiad/olimp2003/Itur/welcome.html (click on Задача 1). On the plot you can see that they put A against λ, but now I think that it should be ε against λ. Am I right?
If they are the same, then:A(HA)=A(A-) (as seen from the plot), so ε(HA)·c(HA)·l=ε(A-)·c(A-)·l, then if ε is equal for both:ε(HA)·c(HA)·l=ε(HA)·c(A-)·l, and c(HA)=c(A-), which can't be true if the pH differs that Ka. Still confused.