Final answer:
To react completely with 115 g of NaOH, 141 g of H₂SO₄ is required. This is calculated by determining the moles of NaOH present and then using the stoichiometry of the balanced chemical equation to find the corresponding moles and mass of H₂SO₄ needed.
Step-by-step explanation:
To find the mass of H₂SO₄ required to react completely with 115 g of NaOH, we first need to use the balanced chemical equation: H₂SO₄ (aq) + 2NaOH (aq) → Na2SO4 (aq) + 2H₂O(l). According to the equation, 1 mole of sulfuric acid reacts with 2 moles of sodium hydroxide. The molar mass of NaOH is 40.00 g/mol, so we can calculate the moles of NaOH in 115 g as follows:
Moles of NaOH = mass of NaOH / molar mass of NaOH = 115 g / 40.00 g/mol = 2.875 moles NaOH.
From the balanced equation, we know the mole ratio of H₂SO₄ to NaOH is 1:2, so 2.875 moles of NaOH would require half the amount of H₂SO₄, which is 2.875 moles NaOH / 2 = 1.4375 moles H₂SO₄. The molar mass of H₂SO₄ is approximately 98.079 g/mol. Therefore, the mass of H₂SO₄ needed is:
Mass of H₂SO₄ = moles of H₂SO₄ * molar mass of H₂SO₄ = 1.4375 moles * 98.079 g/mol = 141 g H₂SO₄.