How to Calculate the Volume of a Solution

How do you calculate the volume of a solution?

Given data: To make 750 mL of 10 M nitric acid using 15 M nitric acid, how much of the 15 M acid is needed?

Calculation of Solution Volume

To calculate the volume of a solution, you can use the formula M1V1 = M2V2.

When calculating the volume of a solution, it is important to consider the initial molarity, initial volume, final molarity, and final volume. In this case, the initial molarity is 15 M, the final molarity is 10 M, the initial volume is unknown (V), and the final volume is 750 mL.

By substituting the values into the formula M1V1 = M2V2, we can solve for the volume of the 15 M nitric acid needed to make 750 mL of 10 M nitric acid.

Given:

Initial molarity (M1) = 15 M

Final molarity (M2) = 10 M

Final volume (V2) = 750 mL

Using the formula:

(15 M)(V) = (10 M)(750 mL)

Solving for V:

V = (10 M)(750 mL) / (15 M)

V = 500 mL

Therefore, to make 750 mL of 10 M nitric acid using 15 M nitric acid, you will need 500 mL of the 15 M acid.