You wish to make a 0.435 M perchloric acid solution from a stock solution of 3.00 M perchloric acid. How much concentrated acid must you add to obtain a total volume of 150 mL of the dilute solution?

The answer to your question is 21.75 mL of stock solution of [HClO₄]

Explanation:

Data

[HClO₄] = 0.435 M

Stock solution [HClO₄] = 3 M

Total volume = 150 mL

Formula

Concentration 1 x Volume 1 = Concentration 2 x Volume 2

- Solve for Volume 1

Volume 1 = Concentration 2 x Volume 2 / Concentration 1

- Substitution

Volume 1 = 0.435 x 150 / 3

- Simplification

Volume 1 = 65.25 / 3

- Result

Volume 1 = 21.75 mL