Given the following balanced chemical reaction, what volume of 3.0M H2SO4 is required to neutralize 60.0 mL of 0.5M NaOH? Be sure to include the formula and show your work for each step in the calculation.

Answer:
[tex]\boxed{\text{10 mL}}[/tex]
Explanation:
1. Write the balanced chemical equation.
[tex]\text{2NaOH} + \text{H$_{2}$SO$_{4}$} \longrightarrow\ \text{Na$_{2}$SO$_{4}$} + 2\text{H{$_{2}$O}}[/tex]
2. Calculate the moles of NaOH
[tex]\text{Moles of NaOH} =\text{60.0 mL NaOH} \times \dfrac{\text{0.5 mmol NaOH}}{\text{1 mL NaOH}} = \text{30 mmol NaOH}[/tex]
3. Calculate the moles of Hâ‚‚SOâ‚„.
[tex]\text{Moles of H$_{2}$SO$_{4}$}=\text{30 mmol NaOH} \times \dfrac{\text{1 mmol H$_{2}$SO$_{4}$} }{\text{2 mmol NaOH}} = \text{30 mmol H$_{2}$SO$_{4}$}[/tex]
4. Calculate the volume of Hâ‚‚SOâ‚„
[tex]c = \text{30 mmol H$_{2}$SO$_{4}$} \times \dfrac{\text{1 mL H$_{2}$SO$_{4}$}}{\text{3.0 mmol H$_{2}$SO$_{4}$}} = \text{10 mL H$_{2}$SO$_{4}$}[/tex]
The titration will require [tex]\textbf{10 mL}[/tex] Hâ‚‚SOâ‚„.