Using the equipment below, explain how to prepare a 0.00052M HCl solution from a reagent bottle containing 0.13M HCl using only the equipment listed below.

Note, you may make multiple dilutions, but you are not allowed to combine volumes. For example, if you need 2 mLs of a solution, you can not use a 1mL pipette + 1 mL pipette because this introduces error.
Volumetric flasks may only be used as the diluting vessel and may not be used to transfer from one solution to another.

100mL volumetric flask
50mL volumetric flask
10mL volumetric flask
1.00mL pipette
2.00mL pipette
5.00mL pipette
10.00mL pipette
Distilled water

Dilute 2.00 mL to 50.0 vol flask. Mix thoroughly. This is solution A.

Dilute 10 mL of solution A 10.0 mL to 100 mL vol flask. This is solution B which should be 0.00052M
0.13 x (2.00/50.0) = 0.0052M
Then
0.0052 x (10.0/100) - 0.00052M

To prepare a 0.00052M HCl solution from the 0.13M HCl solution using the given equipment, you can follow these steps:

1. Determine the volume of the 0.13M HCl solution needed to prepare the desired concentration. We can use the formula:

C1V1 = C2V2

Where:
C1 = Concentration of the initial solution (0.13M)
V1 = Volume of the initial solution used (unknown)
C2 = Concentration of the desired solution (0.00052M)
V2 = Volume of the desired solution (100mL)

Rearrange the formula to solve for V1:

V1 = (C2 * V2) / C1

V1 = (0.00052M * 100mL) / 0.13M

V1 ≈ 0.4mL

Therefore, you need approximately 0.4mL of the 0.13M HCl solution.

2. Use the 1.00mL pipette to measure out 1.00mL of the 0.13M HCl solution from the reagent bottle.

3. Transfer the 1.00mL of the 0.13M HCl solution into the 10mL volumetric flask.

4. Rinse the pipette with distilled water to remove any remaining HCl solution.

5. Use the 1.00mL pipette to measure out 1.00mL of the 0.13M HCl solution from the reagent bottle.

6. Transfer the 1.00mL of the 0.13M HCl solution into the 10mL volumetric flask, making sure to add it to the previously added 1.00mL.

7. Rinse the pipette with distilled water.

8. Use the 1.00mL pipette to measure out 1.00mL of the 0.13M HCl solution from the reagent bottle.

9. Transfer the 1.00mL of the 0.13M HCl solution into the 100mL volumetric flask, making sure to add it to the previously added 2.00mL.

10. Finally, add distilled water to the 100mL volumetric flask until the solution level reaches the mark on the flask.

11. Gently mix the solution by inverting the flask a few times.

You now have a 0.00052M HCl solution prepared from the 0.13M HCl solution using the given equipment.