1. Write the balanced chemical equation:

Ba(OH)₂ (aq) + 2 HC₂H₃O₂ (aq) → Ba(C₂H₃O₂)₂ (aq) + 2 H₂O (l)

2. Mole ratio:

The balanced equation shows that 1 mole of Ba(OH)₂ reacts with 2 moles of HC₂H₃O₂.

3. Calculate moles of Ba(OH)₂:

* You have 0.452 moles of HC₂H₃O₂.

* Use the mole ratio: (0.452 moles HC₂H₃O₂) * (1 mole Ba(OH)₂ / 2 moles HC₂H₃O₂) = 0.226 moles Ba(OH)₂

Therefore, 0.226 moles of Ba(OH)₂ are required to completely neutralize 0.452 moles of HC₂H₃O₂.