Final answer:
The volume of 7.48x10^2 M perchloric acid that can be neutralized with 115 mL of 0.244 M sodium hydroxide is approximately 3.75 mL.
Step-by-step explanation:
The equation for the reaction between perchloric acid (HClO4) and sodium hydroxide (NaOH) is:
HClO4 + NaOH → NaClO4 + H2O
To determine the volume of 7.48x102 M perchloric acid that can be neutralized with 115 mL of 0.244 M sodium hydroxide, we can use the stoichiometry of the balanced equation.
From the equation, we can see that the ratio of moles of HClO4 to moles of NaOH is 1:1. Therefore, we can set up the following equality:
(Volume of HClO4 in mL) × (Molarity of HClO4) = (Volume of NaOH in mL) × (Molarity of NaOH)
Substituting the given values into the equation:
(Volume of HClO4) × (7.48x102 M) = (115 mL) × (0.244 M)
Solving for the volume of HClO4:
Volume of HClO4 = (115 mL) × (0.244 M) / (7.48x102 M) ≈ 3.75 mL
Learn more about Neutralization reaction