How to Dilute a Stock Solution of HNO₃ to Obtain a Desired Concentration?

To what volume should you dilute 48.0 ml of a 13 mol⋅l⁻¹ stock HNO₃ solution to obtain a 0.149 mol⋅l⁻¹ HNO₃ solution?

Final answer:

Volume of stock solution is 0.5538 ml (rounded to four decimal places).

Explanation:

To obtain a 0.149 mol⋅l⁻¹ HNO₃ solution from a 13 mol⋅l⁻¹ stock HNO₃ solution, you need to dilute the stock solution with a certain volume of solvent.

The volume of the stock solution needed can be calculated using the formula:

Volume of stock solution = (Desired concentration/Stock concentration) × Desired volume

Substituting the given values, we have:

Volume of stock solution = (0.149 mol⋅l⁻¹ / 13 mol⋅l⁻¹) × 48.0 ml

= 0.5538 ml (rounded to four decimal places)

So, you need to dilute the 48.0 ml of 13 mol⋅L⁻¹ HNO₃ stock solution to a final volume of approximately 4.18 L to obtain a 0.5538 mol⋅L⁻¹ HNO₃ solution.