An aqueous solution of barium hydroxide is standardized by titration with a 0.167 M solution of perchloric acid. If 12.8 mL of base are required to neutralize 25.4 mL of the acid, what is the molarity of the barium hydroxide solution?

Explanation:

1. Barium hidroxide

Barium hydroxide is a strong base that ionizes as per the equation:

Thus, every mole of Ba(OH)₂ yields 2 moles of OH⁻.

2. Perchloric acid

Perchloric acid is a strong acid whose ionization may be represented by the following chemical equation:

Thus, every mole of HClO₄ yields 1 mole of H⁺.

3. Calculate the number of moles of perchloric acid and H⁺:

The number of moles of H⁺ is equal to the number of moles of HClO₄

4. Calculate the number of moles of Ba(OH)₂

When the solution is neutralized the number of moles of OH⁻ is equal to the number of moles of H⁺

The number of moles of Ba(OH)₂ is half of the number of moles of OH⁻:

5. Calculate the molarity of the Ba(OH)₂ solution:

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