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To determine the molar concentration of acetic acid in vinegar, we can use the following steps:
1. Write a balanced chemical equation for the titration reaction:
CH3COOH(aq) + NaOH(aq) → CH3COONa(aq) + H2O(l)
2. Calculate the number of moles of NaOH used in the titration:
Moles of NaOH = Concentration of NaOH × Volume of NaOH
Moles of NaOH = 0.1551 M × 0.03281 L
Moles of NaOH = 0.005096 mol
3. According to the balanced chemical equation, 1 mole of CH3COOH reacts with 1 mole of NaOH. Therefore, the number of moles of CH3COOH in the vinegar sample is also 0.005096 mol.
4. Calculate the molar concentration of CH3COOH in the vinegar:
Molar concentration of CH3COOH = Moles of CH3COOH / Volume of CH3COOH
Molar concentration of CH3COOH = 0.005096 mol / 0.0100 L
Molar concentration of CH3COOH = 0.5096 M
Therefore, the molar concentration of acetic acid in the vinegar is 0.5096 M.