Vinegar is a dilute aqueous solution of acetic acid. A sample of vinegar has a p

Question

Vinegar is a dilute aqueous solution of acetic acid. A sample of vinegar has a pH of 2.39 and a density of 1.07 g/mL. What is the mass percentage of acetic acid in the vinegar? Vinegar is a dilute aqueous solution of acetic acid. A sample of vinegar has a pH of 2.39 and a density of 1.07 g/mL. What is the mass percentage of acetic acid in the vinegar? Vinegar is a dilute aqueous solution of acetic acid. A sample of vinegar has a pH of 2.39 and a density of 1.07 g/mL. What is the mass percentage of acetic acid in the vinegar?

Explanation / Answer

pH = 2.39

[H+] = 10^-2.39

[H+] = 4.07 x 10^-3 M

Ka of acetic acid = 1.8 x 10^-5

[H+] = sqrt (Ka x C)

4.07 x 10^-3 = sqrt (1.8 x 10^-5 x C)

C = 0.921 M

concentration of acetic acid = 0.921 M

formula :

molarity = mass % x 10 x dentsity / molar mass

0.921 = mass % x 10 x 1.07 / 60

mass % = 5.17%

mass percentage of acetic acid in the vinegar = 5.17 %

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