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3. A chemist needs a buffer with pH 3.5. Which would be a good choice of acid along with NaOH, formic acid (Ka = 1.8x10-4) or acetic acid (Ka = 1.8x10-5), and why? What is the role of NaOH?

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$\leadsto\sf\textbf\:pH\:\:=\:-\log[H^+]$

$\leadsto\sf\textbf\:[H^+]\:\:=\:10^{-pH}$

For the buffer to have a pH of 3.5, we want the concentration of H+ ions to be $\sf\textbf\;3.16\:x\:10^-4:\:M.$

Using the Henderson-Hasselbalch equation:

$\leadsto\sf\textbf\:pH\:\:=\:pKa\:+\:\log\frac{[A^-]}{[HA]}$

$\leadsto\sf\textbf\:3.5\:\:=\:pKa\:+\:\log\frac{[A^-]}{[HA]}$

$\leadsto\sf\textbf\:log\frac{[A^-]}{[HA]}\:\:=\:3.5\:-\:pKa$

$\leadsto\sf\textbf\:\frac{[A^-]}{[HA]}\:\:=\: 10^{3.5-pKa}$

Comparing the pKa values of formic acid and acetic acid, we see that formic acid has a lower pKa value, which means it is a stronger acid than acetic acid. Therefore, formic acid is a better choice for the buffer, as it will donate more H+ ions to the solution, leading to a more stable pH.

NaOH is added to the buffer to act as a base, which will react with any excess acid that is added to the solution. This prevents the pH from dropping too low and becoming too acidic. The NaOH reacts with the H+ ions to form water, effectively removing excess H+ ions from the solution.


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