I have performed the optimization of pH ranging from 2-9 so that I can choose one pH value for subsequent experiments but the results pertaining to pH values from 3-9 are almost near.How do I choose an exact pH value?
It happens most of the time. This may be due to the concentration which you select for optimizing the pH. Because of the presence of enormous active cites available on the surface of your adsorbent, you will get same values at lower concentrations. Also, Check with higher concentration whether you are getting the same results or not. Check the calibration of pH meter with standard buffer solutions. Even at high concentrations you are getting the same result means your adsorbent is independent of pH or constant at particular pH range. All the best..
I recommend you to check the informations that Barathi Maniraj answered and if the situation remains the same, you can chose the pH which the peaks are more symmetric and thin (it reduces the possibility of interferents) or you can take the optimum pH the pH of your sample.. for example, if you will determinate some analyte in urine, or serum you can choose pH 7, physiological one.
To answer your question, on should have more information about the experiment, for which you are optimizing pH (...adsorption studies... is so few data).