calculate the volume of concentrated 4M HCl that is needed to create a 1 L solution of 0.1 M HCl.

The easy way to do this is to use the dilutiong formula of

mL1 x M1 = mL2 x M2
mL1 x 4 = 1000mL x 0.1

To calculate the volume of concentrated 4M HCl needed to create a 1L solution of 0.1M HCl, we can use the formula:

C1 * V1 = C2 * V2

Where:
C1 = concentration of the concentrated HCl solution
V1 = volume of the concentrated HCl solution
C2 = concentration of the final HCl solution
V2 = volume of the final HCl solution

In this case, we are given:
C1 = 4M
C2 = 0.1M
V2 = 1L

We need to find V1.

Substituting the given values into our formula, we get:

4M * V1 = 0.1M * 1L

Now, let's solve for V1:

V1 = (0.1M * 1L) / 4M
= 0.025 L

Therefore, you will need 0.025 L (or 25 mL) of concentrated 4M HCl to create a 1L solution of 0.1M HCl.