Speciality vinegars will have different acetic acid concentrations. A student analyzed a speciality vinegar by pipetting 10.0 mL of the vinegar into a flask. This sample was titrated with 0.128M NaOH. The titration required 20.6 mL of the base to reach the endpoint. What is the percent by mass of acetic acid in the speciality vinegar? Use the correct number of significant figures. Do not include a unit or percent sign when you type in your answer or it will be counted wrong.
the reaction is given by
CH3COOH + NaOH ---> CH3COONa + H20
we can see that
moles of CH3OOH present = moles of NaOH reacted
also
moles = molarity x volume (L)
so
moles of NaOH added = 20.6 x 10-3 x 0.128
moles of NaOH added = 2.6368 x 10-3
so
moles of CH3COOH present = 2.6368 x 10-3
now
mass = moles x molar mass
so
mass of CH3COOH = 2.6368 x 10-3 x 60
mass of CH3COOH = 0.158208 g
now
given
10 ml of vinegar
assuming density of vinegar as 1 g / ml
so
mass of solution = 10 g
now
% mass = mass of Ch3COOH x 100 / mass of solution
% mass = 0.158208 x 100 / 10
% mass = 1.58208
so
percent by mass of acetic acid is 1.58208
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