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Which of the following pairs of substances would make a good buffer solution? (A) \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}(a q)\) and \(\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}(a q)\) (B) \(\mathrm{H}_{2} \mathrm{SO}_{4}(a q)\) and \(\mathrm{LiOH}(a q)\) (C) \(\mathrm{HCl}(a q)\) and \(\mathrm{KCl}(a q)\) (D) \(\mathrm{HF}(a q)\) and \(\mathrm{NH}_{3}(a q)\)

Short Answer

Expert verified
The pair of substances that makes a good buffer solution is (A) \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}(a q)\) and \(\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}(a q)\).

Step by step solution

01

Identify the weak acids in each option

\(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) (Option A), \(\mathrm{H}_{2} \mathrm{SO}_{4}\) (Option B), \(\mathrm{HCl}\) (Option C), and \(\mathrm{HF}\) (Option D) are all acids. However, only \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) and \(\mathrm{HF}\) are weak acids.
02

Identify the conjugate bases for the weak acids

For an acid, its conjugate base is formed by removing a H+ ion from it. So the conjugate base for \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) is \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}^-\) and for \(\mathrm{HF}\) is \(\mathrm{F}^-\).
03

Match the weak acids with its conjugate base

Observing the given options carefully, the only option that comprises of a weak acid and its conjugate base is option (A), which consists of \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) (weak acid) and \(\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) (conjugate base). \(\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) is just \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}^-\) with a sodium ion, which does not affect its ability to act as a base.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Weak Acids
Weak acids play a crucial role in the formation of buffer solutions. These acids do not completely dissociate in water. Instead, they donate only a small portion of their hydrogen ions ( H^+ ) to the solution. This characteristic allows them to establish equilibrium between their undissociated form and the ions they release. Common examples of weak acids include acetic acid ( CH_3COOH ) and hydrofluoric acid ( HF ).

What sets weak acids apart from strong acids is their ability to maintain a balance between their molecules and ions in solution. While strong acids like hydrochloric acid ( HCl ) dissociate completely, weak acids dissociate only partially, meaning only some of the acid molecules release hydrogen ions. This equates to a higher percentage of undissociated molecules remaining in the solution.

This property is vital when it comes to buffer solutions. It allows the weak acid and its conjugate base to resist changes in pH when small amounts of acid or base are added. In our exercise, HC_2H_3O_2 is considered a weak acid, unlike HCl or H_2SO_4 , which are strong acids and dissociate fully.
Role of Conjugate Bases
A conjugate base is what an acid becomes once it has donated a hydrogen ion. It is the component that remains and can potentially accept a hydrogen ion back, thus playing an essential role in the buffering action. When a weak acid releases its hydrogen ion, it forms a conjugate base. For instance, acetic acid ( HC_2H_3O_2 ) forms the acetate ion ( C_2H_3O_2^- ) upon losing a hydrogen ion.

To create an effective buffer solution, there needs to be a balance between the weak acid and its conjugate base in the solution. Together, they can neutralize added acids or bases, thereby stabilizing pH levels. In the provided exercise, HC_2H_3O_2 and NaC_2H_3O_2 represent a weak acid and its conjugate base. The additional sodium ion ( Na^+ ) does not interfere with the buffering capacity.

A buffer solution's ability to maintain a stable pH is directly linked to this equilibrium between the weak acid and its conjugate base. The neutralization reactions of the base with added H^+ ions or the acid with added OH^- ions ensure that significant changes in pH are minimized.
Fundamentals of Acid-Base Chemistry
Acid-base chemistry is the study of acids, bases, and their interactions with each other. It's crucial to understand these fundamentals when exploring concepts like buffers. Acids are substances that can donate H^+ ions, while bases can accept them. Reactions between acids and bases result in the formation of water and often a salt. This is the essence of neutralization.

In the context of buffers, the interaction between a weak acid and its conjugate base is crucial. Buffers are special mixtures that resist changes in pH, even when small amounts of acidic or basic components are introduced. They work by using the weak acid to neutralize added bases and the conjugate base to neutralize added acids. This dynamic ensures the solution maintains a relatively constant pH.

The exercise highlights how buffers are identified: they consist of a weak acid and its conjugate base. It’s not enough to simply identify any acid-base pair; the pair must enable the equilibrium necessary for buffering. Therefore, understanding the interconnected roles of acids, bases, and their conjugates is key in determining effective buffer solutions in acid-base chemistry.

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