Sodium bicarbonate and acetic acid, the acid found in vinegar, react quickly and

Question

Sodium bicarbonate and acetic acid, the acid found in vinegar, react quickly and foam with the evolution of carbon dioxide. This reaction is popular with grade-school kids to make “volcanoes”. The reaction between them can be shown by the following equation. NaHCO3 (aq) + HC2H3O2 (aq) NaC2H3O2 (aq) + H2O (l) + CO2 (g) Household vinegar is typically 5.00% acetic acid, by mass. Assuming the density of vinegar is 1.01 g·mL–1, determine the volume of household vinegar needed to completely react with 10.00 mL of 0.308 M NaHCO3.

Explanation / Answer

Balanced equation:
NaHCO3(aq) + HC2H3O2(aq) ===> NaC2H3O2(aq) + H2O(l) + CO2(g)

Moles of NaHCO3 used = 10 x 0.308 /1000 = 0.00308 Moles

Moles of acetic acid needed = 0.00308 Moles

Mass of acetic acid = 0.00308 x 60.05 = 0.1849 gm

Mass of Household vinegar needed = 100 x 0.1849 /5 = 3.698 gm

Volume of Household vinegar = 3.698 g / 1.01 g ml-1 = 3.661 ml

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