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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