College

What is the molarity of a NaOH solution if 39.1 mL of a 0.112 M H\(_2\)SO\(_4\) solution is required to neutralize a 25.0-mL sample of NaOH solution?

Answer :

The volume in liters to get a molarity of 0.350 M NaOH.

To determine the molarity of the NaOH solution, we start by using the balanced chemical equation for the reaction:

2NaOH + H₂SO₄ → Na₂SO₄ + 2H₂O

This tells us that 2 moles of NaOH react with 1 mole of H₂SO₄. Next, we calculate the number of moles of H₂SO₄ used:

Moles of H₂SO₄ = Molarity (H₂SO₄) × Volume (L)
= 0.112 M × (39.1 mL / 1000)
= 0.0043792 mol H₂SO₄

According to the balanced equation, the ratio of NaOH to H₂SO₄ is 2:1. Therefore, the moles of NaOH is:

Moles of NaOH = 2 × Moles of H₂SO₄
= 2 × 0.0043792 mol
= 0.0087584 mol NaOH

Finally, we calculate the molarity of the NaOH solution:

Molarity (NaOH) = Moles of NaOH / Volume of NaOH (L)
= 0.0087584 mol / (25.0 mL / 1000)
= 0.350 M NaOH

Therefore, the molarity of the NaOH solution is 0.350 M.