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Which of the following solutions has the greater buffer capacity: (a) \(100 \mathrm{~mL}\) of \(0.30 \mathrm{M} \mathrm{HNO}_{2}-0.30 \mathrm{M} \mathrm{NaNO}_{2}\) or (b) \(100 \mathrm{~mL}\) of \(0.10 \mathrm{M} \mathrm{HNO}_{2}-0.10 \mathrm{M} \mathrm{NaNO}_{2} ?\) Explain.

Short Answer

Expert verified
Solution (a) has the greater buffer capacity due to higher concentrations of HNO鈧 and NaNO鈧.

Step by step solution

01

Understanding Buffer Capacity

Buffer capacity is the ability of a buffer solution to resist changes in pH upon the addition of an acid or base. It is primarily determined by the concentration of the acid and its conjugate base in the solution. The higher the concentrations, the greater the buffer capacity.
02

Comparing Buffer Compositions

In scenario (a), both components of the buffer (HNO鈧 and NaNO鈧) have a concentration of 0.30 M. In scenario (b), both components have a concentration of 0.10 M. The concentration of both the acid and the conjugate base in solution (a) is higher than in solution (b).
03

Determining the Buffer Capacity

Since buffer capacity increases with higher concentrations of the acid and the conjugate base, solution (a) will have a greater buffer capacity than solution (b) because it has higher concentrations of HNO鈧 and NaNO鈧.

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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 chemical solution that helps maintain a stable pH level, even when small amounts of acids or bases are added. This stability is crucial in many chemical, biological, and industrial processes. A buffer works by using a combination of a weak acid and its conjugate base, or a weak base and its conjugate acid.
This special combination allows the buffer to react with any added acids or bases. The weak acid component of the buffer will neutralize bases, while the conjugate base component will neutralize acids, thus maintaining the pH of the solution within a narrow range.
  • Components: Consist of a weak acid and its conjugate base or a weak base and its conjugate acid.
  • Function: Maintains pH stability when acids or bases are added.
An example of a buffer solution is the mixture of nitrous acid ( HNO鈧) and sodium nitrite ( NaNO鈧). By understanding how these solutions work, one can predict how they will respond to changes in their environment.
Acid and Conjugate Base
In a buffer solution, the acid and its conjugate base are the key players that allow the solution to resist changes in pH. A conjugate base is what remains when an acid donates a proton during a chemical reaction. The balance between these two ensures that the buffer can neutralize added acids or bases efficiently.
For example, in the buffer solution of HNO鈧 and NaNO鈧, the nitrous acid, HNO鈧, acts as the weak acid, while the sodium nitrite, NaNO鈧, provides the conjugate base. This pair together forms a buffer system:
  • Weak Acid: HNO鈧, capable of donating a proton (H鈦).
  • Conjugate Base: NO鈧傗伝, able to accept a proton, thereby neutralizing added acids.
The interaction between the acid and the conjugate base in the solution allows the pH to remain relatively constant, even when external substances are introduced.
pH Resistance
One of the important features of a buffer solution is its resistance to changes in pH. This is often referred to as pH resistance. The buffer's ability to maintain a consistent pH level makes it valuable in various fields, including biology and chemistry.
In the context of a buffer, pH resistance depends on the equilibrium established by the acidic and basic components. When an acid is added to the buffer, the base component neutralizes it. Conversely, if a base is added, the acid component does the neutralizing. This way, the pH remains stable:
  • Resists pH changes upon addition of small amounts of acid or base.
  • Essential for life's chemical processes, where precise pH control is crucial.
Understanding pH resistance helps us predict how a buffer will perform under different conditions, ensuring that the pH remains within a desired range.
Concentration and Buffer Capacity
The concentration of the components in a buffer solution directly impacts its buffer capacity. Buffer capacity is the measure of how much acid or base the buffer can neutralize without a significant change in pH.
The higher the concentration of the acid and its conjugate base in the buffer, the greater the buffer capacity. This is because a higher concentration means more available molecules to counteract additional acids or bases. In our example, solution (a) with 0.30 M concentrations of HNO鈧 and NaNO鈧 has a greater buffer capacity than solution (b) with 0.10 M concentrations.
  • High concentrations lead to higher buffer capacities.
  • Important for environments where large pH changes need to be avoided.
Therefore, when choosing a buffer solution for a particular application, it is crucial to consider the concentrations of its components to ensure effective pH management.

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Most popular questions from this chapter

Which of the following compounds are more soluble in acidic solution than in pure water? (a) \(\mathrm{AgCN}\) (b) \(\mathrm{PbI}_{2}\) (c) \(\mathrm{Al}(\mathrm{OH})_{3}\) (d) \(\mathrm{ZnS}\)

One type of kidney stone is a precipitate of calcium oxalate \(\left(\mathrm{CaC}_{2} \mathrm{O}_{4}, K_{\mathrm{sp}}=2.3 \times 10^{-9}\right) .\) A urine sample has a \(\mathrm{Ca}^{2+}\) concentration of \(2.5 \times 10^{-3} \mathrm{M}\) and an oxalic acid \(\left(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4},\right.\), \(\left.K_{\mathrm{a} 1}=5.9 \times 10^{-2}, \quad K_{\mathrm{a} 2}=6.4 \times 10^{-5}\right)\) concentration of \(1.1 \times 10^{-4} \mathrm{M}\) (a) A typical \(\mathrm{pH}\) for urine is \(5.5 .\) Will a precipitate of calcium oxalate form under these conditions? (b) A vegetarian diet results in a higher \(\mathrm{pH}\) for urine, typically greater than 7 . Would kidney stones be more or less likely to form in urine with a higher \(\mathrm{pH}\) ?

What compound, if any, will precipitate when \(80 \mathrm{~mL}\) of \(1.0 \times 10^{-5} \mathrm{M} \mathrm{Ba}(\mathrm{OH})_{2}\) is added to \(20 \mathrm{~mL}\) of \(1.0 \times 10^{-5} \mathrm{M}\) \(\mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3} ?\)

Use Le Ch芒telier's principle to explain the following changes in the solubility of \(\mathrm{Ag}_{2} \mathrm{CO}_{3}\) in water: (a) Decrease on addition of \(\mathrm{AgNO}_{3}\) (b) Increase on addition of \(\mathrm{HNO}_{3}\) (c) Decrease on addition of \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) (d) Increase on addition of \(\mathrm{NH}_{3}\)

(a) Calculate the change in \(\mathrm{pH}\) when \(0.002 \mathrm{~mol}\) of \(\mathrm{HNO}_{3}\) is added to \(0.100 \mathrm{~L}\) of a buffer solution that is \(0.050 \mathrm{M}\) in \(\mathrm{HF}\) and \(0.100 \mathrm{M}\) in \(\mathrm{NaF}\). (b) Will the pH change if the solution is diluted by a factor of \(2 ?\)

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