Acetic acid has a Ka of 1.8Ã10â5. Three acetic acid/acetate buffer solutions, A, B, and C, were made using varying concentrations: [acetic acid] ten times greater than [acetate], [acetate] ten times greater than [acetic acid], and [acetate]

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Answer:

sln A:  pH = 3.745

sln B:  pH = 5.745

sln C:  pH = 4.745

Explanation:

  • CH3COOH ↔ CH3COO-  +   H3O+
  • Ka = ( [ H3O+ ] * [ CH3COO- ] ) / [ CH3COOH ] = 1.8 E-5

sln A:

⇒ [ CH3COOH ] = 10 [ CH3COO- ]

⇒ [ CH3COO- ] / [CH3COOH ] = 1 / 10

⇒ Ka = 1.8 E-5 = [ H3O+ ] * (1 / 10)

⇒ [ H3O+ ] = (10) * ( 1.8 E-5 ) = 1.8 E-4

⇒ pH = - log ( 1.8 E-4 ) = 3.745

sln B:

⇒ [ CH3COO- ] = 10 [ CH3COOH ]

⇒ [ CH3COO- ] / [ CH3COOH ] = 10

⇒ Ka = 1.8 E-5 = 10 * [ H3O+ ]

⇒ [ H3O+ ] = 1.8 E-5 / 10 = 1.8 E-6

⇒ pH = - log ( 1.8 E-6 ) = 5.745

sln C:

⇒ [ CH3COO- ] = [ CH3COOH ]

⇒ [ CH3COO- ] / [ CH3COOH ] = 1

⇒ Ka = 1.8 E-5 = ( 1 ) * [ H3O+ ]

⇒ [ H3O+ ] = 1.8 E-5

⇒ pH = - log ( 1.8 E-5)  = 4.745

We have that for the Question "Three acetic acid/acetate buffer solutions, A, B, and C, were made using varying concentrations: [acetic acid] ten times greater than [acetate], [acetate] ten times greater than [acetic acid], and [acetate]"

It can be said that

  • [acetic acid] ten times greater than [acetate] = [tex]3.74[/tex]
  • [acetate] ten times greater than [acetic acid] = [tex]5.74[/tex]
  • [acetate]= [acetic acid] = [tex]4.74[/tex]

From the question we are told

Acetic acid has a Ka of [tex]1.8*10^{-5[/tex]

[tex]CH_3COOH ---------> CH_3COO^- + H^+[/tex]

for acetic acid and acetate buffer using Hendersom-Harsel Batch equation

[tex]p^H = p^ka + log \frac{CH_3COO^-}{CH_3COOH}\\\\p^{ka} = -log(ka)\\\\p^H = -log(ka) + log \frac{CH_3COO^-}{CH_3COOH}[/tex]

For acetic acid 10 times greater than acetate

[tex]\frac{CH_3COO^-}{CH_3COOH} = \frac{1}{10}\\\\p^H = -log (1.8*10^{-5}) + log\frac{1}{10}\\\\p^H = 3.74[/tex]

For acetate 10 times greater than acetic acid

[tex]\frac{CH_3COO^-}{CH_3COOH} = 10\\\\p^H = -log(1.8*10^{-5}) + log10\\\\p^H = 5.74[/tex]

For acetate=acetic acid

[tex]\frac{CH_3COO^-}{CH_3COOH} = 1\\\\p^H = -log(1.8*10^{-5}) + log1\\\\p^H = 4.74[/tex]

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