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Which of the following has the greatest buffer capacity? (a) \(0.40 \mathrm{M} \mathrm{CH}_{3} \mathrm{COONa} / 0.20 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}\), (b) \(0.40 \mathrm{M} \mathrm{CH}_{3} \mathrm{COONa} / 0.60 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}\) (c) \(0.30 M\) \(\mathrm{CH}_{3} \mathrm{COONa} / 0.60 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}\)

Short Answer

Expert verified
(b) with 0.40 M CH3COONa / 0.60 M CH3COOH has the greatest buffer capacity.

Step by step solution

01

Understanding Buffer Capacity

Buffer capacity refers to the ability of a buffer solution to resist changes in pH upon addition of small amounts of acid or base. It is most effective when the concentrations of the acid and its conjugate base are equal or close.
02

Analyze the Buffer Ratios

Compare the ratios of conjugate base to weak acid in each solution:- For (a) \( \text{Ratio} = \frac{[\mathrm{CH}_3 \mathrm{COONa}]}{[\mathrm{CH}_3 \mathrm{COOH}]} = \frac{0.40}{0.20} = 2 \).- For (b) \( \text{Ratio} = \frac{0.40}{0.60} = \frac{2}{3} \approx 0.67 \).- For (c) \( \text{Ratio} = \frac{0.30}{0.60} = 0.5 \).
03

Identify Optimal Buffer Condition

The optimal buffer capacity is achieved when the ratio of conjugate base to weak acid is close to 1, which means that these components are present in approximately equal amounts. It allows the buffer to improve resistance to pH changes effectively.
04

Determine Greatest Buffer Capacity

From the ratios calculated, (b) with a ratio of about 0.67 is closest to 1, indicating it has the strongest buffer capacity compared to (a) and (c).

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Key Concepts

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

Buffer Solution
A buffer solution is a special type of solution that helps maintain a stable pH level, even when small amounts of strong acid or base are added. This property makes buffer solutions very important in many chemical and biological processes. They primarily consist of a weak acid and its conjugate base or a weak base and its conjugate acid. By having both components, the buffer can neutralize added acids or bases.
  • The weak acid part of the buffer will react with added bases to prevent an increase in pH.
  • Meanwhile, the conjugate base will react with added acids to prevent a decrease in pH.
This dual-action keeps the pH relatively constant, providing what is known as pH resistance.
Conjugate Base
In the context of buffer solutions, a conjugate base is an essential component. It originates from the weak acid after it donates a proton (H鈦). This donation process leaves behind the conjugate base, which can attract and hold onto additional protons, thus neutralizing added acids.
For example, in a solution containing acetic acid (CH鈧僀OOH), the conjugate base would be the acetate ion (CH鈧僀OO鈦). When you add a strong acid, the acetate ion helps by taking up the extra hydrogen ions (H鈦), reducing the effect of the added acid and helping keep the pH stable.
The presence and concentration of the conjugate base in the buffer solution play crucial roles in determining buffer capacity.
Weak Acid
A weak acid is a key part of a buffer solution. Unlike strong acids, which completely dissociate in water, weak acids only partially dissociate. This partial dissociation allows them to donate protons slowly and reversibly and makes them effective at resisting drastic pH changes when paired with their conjugate base.
Acetic acid (CH鈧僀OOH) is a classic example of a weak acid used in buffer solutions. Its role in the buffer is to neutralize added bases. When a base is added, the weak acid provides hydrogen ions (H鈦) to react with base ions, forming water and minimizing pH changes.
The balance of the weak acid and its conjugate base ensures that the solution can adjust to different pH challenges effectively.
pH Resistance
The ability of a buffer solution to resist changes in pH is known as pH resistance. This property depends on the concentrations of the weak acid and its conjugate base in the solution. The principle of pH resistance is that it allows the solution to maintain a relatively constant pH even when acids or bases are added.
For instance, in a buffer solution with a higher pH resistance, adding a small amount of hydrochloric acid (HCl) would result in only a minor pH change due to the equilibration processes of the buffer.
  • This makes buffers incredibly useful in many applications, from biological systems to industrial processes.
  • Maintaining stable pH is crucial in environments where even slight pH variations can lead to significant changes in function or behavior.

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Most popular questions from this chapter

A student carried out an acid-base titration by adding \(\mathrm{NaOH}\) solution from a buret to an Erlenmeyer flask containing \(\mathrm{HCl}\) solution and using phenolphthalein as indicator. At the equivalence point, he observed a faint reddish-pink color. However, after a few minutes, the solution gradually turned colorless. What do you suppose happened?

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Acid-base reactions usually go to completion. Confirm this statement by calculating the equilibrium constant for each of the following cases: (a) a strong acid reacting with a strong base, (b) a strong acid reacting with a weak base \(\left(\mathrm{NH}_{3}\right),\) (c) a weak acid \(\left(\mathrm{CH}_{3} \mathrm{COOH}\right)\) reacting with a strong base, \((\mathrm{d})\) a weak acid \(\left(\mathrm{CH}_{3} \mathrm{COOH}\right)\) reacting with a weak base \(\left(\mathrm{NH}_{3}\right)\). (Hint: Strong acids exist as \(\mathrm{H}^{+}\) ions and strong bases exist as \(\mathrm{OH}^{-}\) ions in solution. You need to look up the \(K_{\mathrm{a}}, K_{\mathrm{b}},\) and \(K_{\mathrm{w}}\) values. \()\)

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