Final answer:
Approximately 11.5 mL of 0.360 M KOH is required to neutralize 12.9 mL of 0.160 M H₂SO₄, based on stoichiometric calculations stemming from the balanced neutralization reaction.
Step-by-step explanation:
To calculate the volume of a 0.360 M KOH solution needed to neutralize 12.9 mL of a 0.160 M H₂SO₄ solution, we must first use the stoichiometry of the balanced chemical equation H₂SO₄(aq) + 2KOH(aq) → 2H₂O(l) + K₂SO₄(aq). From this, we know that 2 moles of KOH react with 1 mole of H₂SO₄. Next, we calculate the moles of H₂SO₄ present:
- 0.160 M H₂SO₄ x 0.0129 L = 0.00207 mol H₂SO₄
Then, using the mole ratio, we find the moles of KOH required:
- 0.00207 mol H₂SO₄ x (2 mol KOH/1 mol H₂SO₄) = 0.00414 mol KOH
To find the volume of the 0.360 M KOH solution needed:
- Volume = moles of KOH / concentration of KOH = 0.00414 mol / 0.360 M = 0.0115 L
This converts to 11.5 mL. Therefore, approximately 11.5 mL of the 0.360 M KOH solution is needed to neutralize 12.9 mL of 0.160 M H₂SO₄.