# 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.

What is the formula used to calculate the volume of stock solution needed to dilute a stock HNO₃ solution? The formula used is: Volume of stock solution = (Desired concentration/Stock concentration) × Desired volume