A 25.00-mL sample of an unknown HClO₄ solution requires titration with 22.62 mL of 0.2000 M NaOH to reach the equivalence point. What is the concentration of the unknown HClO₄ solution? The neutralization reaction is HClO₄(aq) + NaOH(aq) → H₂O(l) + NaClO₄(aq)

Verified step by step guidance

1. Write the balanced chemical equation for the reaction: HClO4(aq) + NaOH(aq) → H2O(l) + NaClO4(aq).
2. Calculate the moles of NaOH used in the titration. Use the formula: moles = molarity × volume (in liters).
3. Determine the moles of HClO4 that reacted. According to the balanced equation, the mole ratio of NaOH to HClO4 is 1:1, so the moles of HClO4 are equal to the moles of NaOH.
4. Calculate the molarity of the HClO4 solution. Use the formula: molarity = moles of solute / volume of solution (in liters).
5. Convert the volume of the HClO4 solution from mL to liters by dividing by 1000, then use this volume in the molarity calculation.

Key Concepts

Titration

Titration is a quantitative analytical technique used to determine the concentration of a solute in a solution. It involves the gradual addition of a titrant (a solution of known concentration) to a sample until the reaction reaches the equivalence point, where the amount of titrant equals the amount of substance in the sample. In this case, NaOH is the titrant used to determine the concentration of the unknown HClO4 solution.

Neutralization Reaction

A neutralization reaction occurs when an acid reacts with a base to produce water and a salt. In this scenario, the strong acid HClO4 reacts with the strong base NaOH to form water and NaClO4. Understanding this reaction is crucial for calculating the concentration of the unknown acid, as it allows us to use stoichiometry to relate the volumes and concentrations of the reactants.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced chemical equation. It allows us to determine the relationships between the amounts of substances involved. In this titration problem, stoichiometry is used to relate the volume and molarity of NaOH to the unknown concentration of HClO4, enabling the calculation of the acid's concentration at the equivalence point.