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Answer :
Final answer:
The percentage of formic acid in its protonated form at pH 4.16 is 74.1%, indicating that a significant amount of formic acid is present in its conjugate base form at this pH value.
Explanation:
The given question involves calculating the percentage of formic acid in its protonated form at a given pH. The pKa of formic acid is given as 3.75 and the pH is given as 4.16.
To solve this problem, we first need to determine the ratio of formic acid to its conjugate base at the given pH. We can do this using the Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA]), where [A-] represents the concentration of the conjugate base and [HA] represents the concentration of the acid.
Solving for the ratio [A-]/[HA], we get [A-]/[HA] = 10^(pH - pKa), which in this case is [A-]/[HA] = 10^(4.16 - 3.75) = 1.58.
Therefore, the percentage of formic acid in its protonated form can be calculated as (1/[A-]+1/[HA])*100, which is [(1/1.58) + 1]*100 = 74.1%.
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