A particular sample of vinegar has a pH of 3.10. If acetic acid is the only acid that vinegar contains (Ka=1.8×10−5), calculate the initial concentration of acetic acid in the vinegar.

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Explanation:

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The initial concentration of acetic acid will be "0.035 M".

Acetic acid

According to the question,

pH value = 3.10

Ka = 1.8 × 10⁻⁵

The chemical equation will be:

→ CH₃COOH [tex]\rightarrow[/tex] CH₃COO⁻ + H⁺

then,

HA [tex]\rightarrow[/tex] A⁻ + H⁺

We know that,

→ Ka = [tex]\frac{[A^-][H^+]}{[HA]}[/tex]

pH = -log[H⁺]

Now,

[H⁺] = [tex]10^{-3.1}[/tex]

      = 7.0 × 10⁻⁴ M

[H⁺] = [A⁻]

hence,

The concentration will be:

→ [HA] = [tex]\frac{(7.94\times 10^{-4})^2}{1.8\times 10^{-5}}[/tex]

           = 0.035 M

Thus the response above is correct.

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