Ethan J. answered 07/19/21
B.S. in Physics and former chemistry Supplemental Instruction Leader
To calculate the volume of NaOH, let's start with what we are given, H2SO4
20.0 mL = 0.0200 L H2SO4 , since M = mol/L
Calculate the moles of H2SO4 :
0.45 mol/L H2SO4 × 0.0200 L H2SO4 = 0.0090 mol H2SO4
From the balanced equation, it takes 1 moles of H2SO4 to react with with 2 moles of NaOH. So we can create a ratio:
2 mol NaOH / 1 mol H2SO4
Use this ratio to solve for the moles of NaOH needed to react completely with H2SO4
0.0090 mol H2SO4 × (2 mol NaOH / 1 mol H2SO4) = 0.018 mol NaOH
Now that we have the moles and concentration of NaOH, solve for volume:
0.018 mol NaOH / 0.18 mol/L NaOH = 0.10 L NaOH
100 mL NaOH