1. Write the balanced chemical equation:

CuSO₄(aq) + 2NaOH(aq) → Cu(OH)₂(s) + Na₂SO₄(aq)

2. Determine the moles of CuSO₄:

* Convert volume to liters: 50.0 mL = 0.050 L

* Use the molarity to find moles: moles CuSO₄ = (0.050 L) * (0.5 mol/L) = 0.025 mol

3. Use stoichiometry to find the moles of NaOH:

* From the balanced equation, the mole ratio is 1 mol CuSO₄ : 2 mol NaOH.

* Calculate moles of NaOH: moles NaOH = (0.025 mol CuSO₄) * (2 mol NaOH / 1 mol CuSO₄) = 0.050 mol

4. Calculate the volume of NaOH solution:

* Use the molarity of NaOH to find the volume: volume NaOH = (0.050 mol) / (1.00 mol/L) = 0.050 L

5. Convert volume to milliliters:

* 0.050 L = 50.0 mL

Therefore, you need 50.0 mL of 1.00 M NaOH to react completely with 50.0 mL of 0.5 M CuSO₄.