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25 mL of 0.10 M aqueous acetic acid is titrated with 0.10 M NaOH(aq). What is the pH after 30 mL of NaOH have been added?

User Mazrick
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1 Answer

3 votes

Answer:

pH = 11.95≈12

Step-by-step explanation:

Remember the reaction among aqueous acetic acid (
CH_3COOH) and aqueous sodium hydroxide (NaOH)


CH_3COOH + NaOH ->  CH_3COONa + H_2O

First step. Need to know how much moles of the substances are present


0.1 (mol NaOH)/(L) * 0.030 L = 0.003 mol NaOH</p><p>[tex]0.1 (mol CH_3COOH)/(L) * 0.025 L= 0.0025 mol CH_3COOH</p><p></p><p>Second step. Know wich substance is in excess.</p><p>0.0025 mol CH_3COOH * [tex]1 mol NaOH/ 1 mol CH_3COOH = 0.0025 mol NaOH

0.003 mol NaOH *
1 mol CH_3COOH/ 1 mol NaOH = 0.003 mol CH_3COOH[/tex]

NaOH is in excess. Now, how much?

0.003 mole NaOH - 0.0025 mole NaOH = 0.0005 mole NaOH

Then, that amount in excess would be responsable for the pH.

Third step. Know the pH

Remember that pH= -log[H+]

According to the dissociation of water equilibrium

Kw=[H+]*[OH-]= 10^(-14)

The dissociation of NaOH is

NaOH ->
Na^(+) + OH^(-)

Now, concentration of OH^{-}[/tex] would be given for the excess of NaOH.

[OH-]= 0.0005 mole / 0.055 L = 0.00909 M

Careful: we have to use the total volumen

Les us to calculate pH


pH= -log [H+]\\pH= -log (K_w)/([OH-]) \\pH= 11.95

User Yaoyao
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