Explain using the dilution formula how to prepare 0.2m HCL acid from 37% HCL acid

To clarify, do you want 0.2m or 0.2M?

0.2M

To prepare a 0.2 M HCl acid solution from a 37% HCl acid solution, you can use the dilution formula. The formula for dilution is:

C1V1 = C2V2

where:
C1 = initial concentration of the HCl acid solution (37% in this case)
V1 = volume of the initial solution you are using
C2 = final desired concentration of the HCl acid solution (0.2 M in this case)
V2 = final volume of the HCl acid solution you want to prepare

Steps to prepare 0.2 M HCl acid solution from 37% HCl acid:

1. Determine the final volume (V2) of the 0.2 M HCl acid solution you want to prepare. For example, let's say you want to prepare 500 mL of the solution.

2. Write down the values in the dilution formula:
C1 = 37% (in decimal form, 0.37)
V1 = unknown (what we need to find)
C2 = 0.2 M
V2 = 500 mL (or the desired final volume in milliliters)

3. Rearrange the dilution formula to solve for V1:
V1 = (C2 * V2) / C1

4. Substitute the values into the equation:
V1 = (0.2 M * 500 mL) / 0.37

5. Calculate the volume of the initial solution (V1):
V1 = (0.1 mol/L * 0.5 L) / 0.37

V1 = (0.1 mol * 0.5) / 0.37

V1 = 0.05 mol / 0.37

V1 ≈ 0.1351 L ≈ 135.1 mL

Therefore, to prepare a 0.2 M HCl acid solution from a 37% HCl acid solution, you would need to dilute approximately 135.1 mL of the 37% HCl acid solution with water to a final volume of 500 mL.