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An analytical chemist is titrating of a solution of acetic acid with a 0.3500 M solution of NAOH. The pKa of acetic acid is 4.70. Calculate the pH of the acid solution after the chemist has added 78.4 mL of the NAOH solution to it.

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Answer:

pH = 4.78

Step-by-step explanation:

There are titrated 65.8mL of a 0.7600M of acetic acid

The reaction of acetic acid, CH₃COOH, with NaOH is:

CH₃COOH + NaOH → CH₃COONa + H₂O

Initial moles of acetic acid are:

0.0658L ₓ (0.7600mol / L) = 0.05000 moles of CH₃COOH

Moles of NaOH added to the acid solution are:

0.0784L ₓ (0.3500mol / L) = 0.02744 moles of NaOH = Moles of CH₃COONa produced -Because NaOH is the limiting reactant-

That means after the reaction moles of CH₃COOH and moles of CH₃COONa are:

CH₃COOH: 0.05000 mol - 0.02744 mol = 0.02256 moles

CH₃COONa: 0.02744 moles

Using H-H equation for acetic acid, pH of the solution is:

pH = 4.70 + log₁₀ [CH₃COONa] / [CH₃COOH]

Replacing:

pH = 4.70 + log₁₀ [0.02744] / [0.02256]

pH = 4.78

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