(Chemistry) Ka of unknown acid by titrations.

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SUMMARY

The discussion focuses on determining the acid dissociation constant (Ka) of an unknown weak acid through titration with NaOH. A total of 7.37 mL of NaOH was required for complete titration, with a half-titration volume of 3.69 mL. The measured pH of the solution was 4.7, leading to the conclusion that pKa equals 4.7, and thus Ka is calculated as 2.0 x 10-5 using the formula Ka = 10-pH. The discussion also explores alternative methods for calculating Ka, emphasizing the need for initial concentrations of the acid and its conjugate base.

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Homework Statement


Let's say that i have a unknown weak acid.
  • I prepare 10mL of the weak acid diluted in 25mL of water.
  • I titrate the solution with NaOH. 7.37mL of NaOH was needed for a full titration.
  • Therefore, half-titration of this acid was 3.69mL.
  • I measure the pH of the solution with a pH-meter and the pH was 4.7.

I want to find the Ka of the unknown acid.

Homework Equations


Henderson-Hasselbalch pH formula for a buffer solution is:
pH = pKa + log([base] / [acid])

The Attempt at a Solution


Since the weak acid is monoprotic, the half titration of the solution gives an equal concentration of both acid and conjugate base.

pH = pKa + log(1) = pKa

Does it mean that Ka is the concentration of [H+]?
Ka = 10^-pH = 10^-4.7 = 2.0 e-5?

Edit: Is it possible to calculate in a different way using the given data above?
Ka = [H+][A-]/[HA]
I can calculate the concentration of [H+] from the pH but i don't know the initial concentration of [HA]. And what about the concentration of [A-] ion?
 
Last edited:
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Yes.
 

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