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Ch.16 - Aqueous Equilibria: Acids & Bases
Chapter 16, Problem 17-148e

A 40.0 mL sample of a mixture of HCl and H3PO4 was titrated with 0.100 M NaOH. The first equivalence point was reached after 88.0 mL of base, and the second equivalence point was reached after 126.4 mL of base.
(e) Sketch the pH titration curve, and label the buffer regions and equivalence points.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Titration and Equivalence Points

Titration is a quantitative analytical method used to determine the concentration of a solute in a solution. The equivalence point in a titration occurs when the amount of titrant added is stoichiometrically equivalent to the amount of substance in the sample. In this case, the first and second equivalence points indicate the complete neutralization of HCl and H3PO4, respectively, by NaOH.
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pH and Buffer Regions

pH is a measure of the acidity or basicity of a solution, with lower values indicating acidic conditions and higher values indicating basic conditions. Buffer regions in a titration curve are areas where the pH changes gradually, typically occurring before and after the equivalence points. These regions are important for understanding how the solution resists changes in pH due to the presence of weak acids or bases.
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Buffer Solutions

Titration Curves for Polyprotic Acids

Polyprotic acids, like H3PO4, can donate more than one proton, leading to multiple equivalence points in a titration curve. Each equivalence point corresponds to the complete neutralization of one acidic proton. The shape of the titration curve reflects these transitions, showing steep rises at equivalence points and flatter regions in between, which are critical for identifying the behavior of the acid during titration.
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