Which of the following mixtures would result in a buffered solution when 1.0 \(\mathrm{L}\) of each of the two solutions are mixed? $$ \begin{array}{l}{\text { a. } 0.2 M \mathrm{HNO}_{3} \text { and } 0.4 \mathrm{M} \mathrm{NaNO}_{3}} \\ {\text { b. } 0.2 \mathrm{M} \mathrm{HNO}_{3} \text { and } 0.4 \mathrm{M} \mathrm{HF}}\end{array} $$ $$ \begin{array}{l}{\text { c. } 0.2 M \mathrm{HNO}_{3} \text { and } 0.4 \mathrm{M} \mathrm{NaF}} \\ {\text { d. } 0.2 \mathrm{M} \mathrm{HNO}_{3} \text { and } 0.4 \mathrm{M} \mathrm{NaOH}}\end{array} $$

Short Answer

Expert verified
The buffered solution is obtained when mixing 1.0 L of mixture b (0.2 M HNO$_{3}$ and 0.4 M HF) and 1.0 L of mixture c (0.2 M HNO$_{3}$ and 0.4 M NaF) as it combines a weak acid (HF) and its conjugate base (F-).

Step by step solution

01

Identify the strong acids and bases

In the given mixtures, some strong acids and bases, like HNO3 and NaOH, can be identified, which won't be part of a buffer system.
02

Identify weak acids and their conjugate bases

In the given mixtures, we can identify weak acids like HF (Hydrofluoric acid) along with their conjugate base like NaF (Sodium Fluoride). The conjugate base of HF is F- (Fluoride ion) and can be found in NaF.
03

Match the suitable weak acid and its conjugate base pair

Since mixture b has the weak acid HF and mixture c has its conjugate base NaF when these two solutions are mixed (1.0 L each), it will result in a buffered solution as the mixed solution will contain the weak acid and its conjugate base pair (HF and F-). So the combination of mixture b and mixture c will result in a buffered solution when mixed in equal volumes.

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