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Ch.17 - Applications of Aqueous Equilibria
Chapter 17, Problem 91

The equivalence point was reached in titrations of three unknown acids at pH 9.16 (acid A), 8.88 (acid B), and 8.19 (acid C). (a) Which is the strongest acid? (b) Which is the weakest acid?

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insert step 1> Determine the relationship between the pH at the equivalence point and the strength of the acid.
insert step 2> Recall that the equivalence point pH in a titration of a weak acid with a strong base is greater than 7 and is influenced by the strength of the conjugate base formed.
insert step 3> Understand that a lower pH at the equivalence point indicates a stronger acid, as the conjugate base is weaker and less able to raise the pH.
insert step 4> Compare the given pH values at the equivalence points: 9.16 (acid A), 8.88 (acid B), and 8.19 (acid C).
insert step 5> Identify the strongest acid as the one with the lowest pH at the equivalence point and the weakest acid as the one with the highest pH at the equivalence point.

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Key Concepts

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

Equivalence Point in Titration

The equivalence point in a titration is the stage at which the amount of titrant added is stoichiometrically equivalent to the amount of substance in the sample. At this point, the reaction between the acid and base is complete, and the pH of the solution reflects the properties of the resulting salt and water. The pH at the equivalence point can provide insights into the strength of the acids involved.
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Strength of Acids

The strength of an acid is determined by its ability to donate protons (H+) in solution. Strong acids completely dissociate in water, resulting in a higher concentration of H+ ions, while weak acids only partially dissociate. The pH at the equivalence point can indicate the strength of the acid; a higher pH suggests a weaker acid, while a lower pH indicates a stronger acid.
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pH Scale and Acid-Base Behavior

The pH scale measures the acidity or basicity of a solution, ranging from 0 (very acidic) to 14 (very basic), with 7 being neutral. In the context of titrations, the pH at the equivalence point helps to classify the acid's strength. For the acids in this question, the pH values indicate that acid A, with the highest pH at equivalence, is the weakest, while acid C, with the lowest pH, is the strongest.
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Related Practice
Open Question
Consider the titration of 25.0 mL of 0.200 M HCO2H with 0.250 M NaOH. How many milliliters of base are required to reach the equivalence point? Calculate the pH at each of the following points: (c) At the equivalence point, (d) After the addition of 25.0 mL of base.
Textbook Question
On the same graph, sketch pH titration curves for the titra-tion of (1) a strong acid with a strong base and (2) a weak acid with a strong base. How do the two curves differ with respect to the following? (a) The initial pH
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Open Question
Consider the titration of 50.0 mL of 0.010 M HA (Ka = 1.0 x 10^-4) with 0.010 M NaOH. (a) Sketch the pH titration curve, and label the equivalence point. (b) How many milliliters of 0.010 M NaOH are required to reach the equivalence point? (c) Is the pH at the equivalence point greater than, equal to, or less than 7? (d) What is the pH exactly halfway to the equivalence point?
Textbook Question

What is the pH at the equivalence point for the titration of 0.10 M solutions of the following acids and bases, and which of the indicators in Figure 17.5 would be suitable for each titration? (a) HNO2 and NaOH

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Textbook Question

What is the pH at the equivalence point for the titration of 0.10 M solutions of the following acids and bases, and which of the indicators in Figure 17.5 would be suitable for each titration? (c) CH3NH2 (methylamine) and HCl

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Textbook Question
What is the pH at the equivalence point for the titration of 0.20 M solutions of the following acids and bases? Which of the indicators in Figure 17.5 would be suitable for each titration? (c) Ba(OH)2 and HBr

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