Exciting Chemistry Problem to Solve!

How can we calculate the volume of a solution needed to make a new concentration?

What volume of a 3.50 M Na3PO4 solution would you use to make 1.50 L of a 2.55 M Na3PO4 solution?

A. 1.09 L

B. 2.06 L

C. 13.4 L

D. 0.917 L

The answer is A. 1.09 L

Calculation of the Volume of Solution Needed

To calculate the volume of a 3.50 M Na3PO4 solution needed to make 1.50 L of a 2.55 M Na3PO4 solution, we can use the formula:

C1V1 = C2V2

Where:

C1 = concentration of the initial solution

V1 = volume of the initial solution

C2 = concentration of the final solution

V2 = volume of the final solution

Given data:

C1 = 3.50 M

V1 = unknown

C2 = 2.55 M

V2 = 1.50 L

Plugging in the values to the formula:

3.50(V1) = 2.55(1.50)

3.50V1 = 3.825

V1 = 3.825 / 3.50

V1 = 1.09 L

Therefore, the volume of a 3.50 M Na3PO4 solution needed to make 1.50 L of a 2.55 M Na3PO4 solution is 1.09 L. Choose option A!