OK. Let's get started. What is the definition of pKa? And how is it determined?
pKa is the negative base-10 logarithm of the acid dissociation constant of a solution.
pKa = -log10Ka
The lower the pKa value, the stronger the acid, therefore here are my answers to the questions ( not sure if it's right)
Hrm. That is the text book definition all right. I was looking for something else ... maybe ... how do we use pKa? Meh. don't worry about it for now, because ...
1) acridine has an aromatic amine which at pH=8.6 should be protonated ?
2)imidazole would be partially protonated ( cationic form ?)
3)p-hydroxybenzoic acid should be in di-anionic state ?
Now lets try to look at these critically. For the acridine solution, the pH is high, and it has a low pKa, so you're correct, it will be protonated.
The imidiazole is a tough one, the pH is right at the pKa. Still, is it in an environment were there is more than enough H+, or not. Partially protonated, isn't applicable here -- there's only one proton, its either on or off.
p-hydroxybezoic acid has two pKa's and the given pH is right in the middle of them. Is it correct for both protons be the same?