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How could you determine the pH range over which a particular buffer system works best?

What are the pKa values for the various species of phosphoric acid and associated ions? Do your results agree with these values?
Provide an explanation for the shape of your graph for the Weak Acid/Strong Base titration.
Label the equivalence point/s, half equivalence points (corresponding to the pKas of phosphoric acid), and any buffer zones on your graph.

User Nick Masao
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Final answer:

To determine a buffer's effective pH range, assess the titration curve around the pKa value, where the pH change per added base is minimal. Phosphoric acid has two main equivalence points at pH ≈ 4.6 and pH ≈ 9.8, corresponding to its first two dissociation events, and buffer zones around the half equivalence points.

Step-by-step explanation:

To determine the pH range over which a particular buffer system works best, look for the range around the pKa value at the midpoint of the titration curve, where the pH change is minimal. For phosphoric acid (H3PO4), a polyprotic acid, there are three pKa values corresponding to its three dissociable protons.

The values are approximately pKa1 ≈ 2.14, pKa2 ≈ 7.20, and pKa3 ≈ 12.35. The buffer regions are within ±1 pH unit from each pKa.

The titration curve for phosphoric acid with a strong base like NaOH shows two distinct equivalence points, one for each protonation event that occurs under normal laboratory conditions, at pH ≈ 4.6 and pH ≈ 9.8, respectively. The third point for the last proton is less defined because HPO42- is a very weak acid.

The shape of the titration curve for a weak acid with a strong base displays a gradual pH change around the equivalence points, which contrast with the steeper curve seen in strong acid-strong base titrations.

The curve typically has a buffer zone around the half equivalence points, where the pH is equal to the pKa and the acid-to-conjugate base ratio is 1:1. Understanding the titration curve is essential to identify these points and to predict buffer capacity.

User Jemina
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