Calculate the milliliters (mL) of the stock solution of NaOH (~0.400 M) that you should measure to make 100.00 mL of dilute solution.

How dilute? Use the dilution formula.

mL1 x M1 = mL2 x M2
mL1 x 0.400 = 100 mL x M2

To calculate the milliliters (mL) of the stock solution of NaOH that you should measure to make 100.00 mL of dilute solution, you need to use the formula for dilution:

C1V1 = C2V2

Where:
C1 = concentration of the stock solution (in this case, 0.400 M)
V1 = volume of the stock solution to be measured (what we're trying to find)
C2 = concentration of the final diluted solution (unknown)
V2 = final volume of the diluted solution (in this case, 100.00 mL)

Since we're trying to find V1, let's rearrange the formula to solve for V1:

V1 = (C2V2) / C1

In this case, we want to make a final volume of 100.00 mL, so V2 = 100.00 mL.
The concentration of the diluted solution is not given, but let's assume we want to make a dilute solution of 0.100 M NaOH.

Now, let's plug the values into the formula:

V1 = (0.100 M * 100.00 mL) / 0.400 M

V1 = (10.00 mL * 2.50)

V1 = 25.00 mL

Thus, to make 100.00 mL of dilute solution with a final concentration of 0.100 M NaOH, you should measure 25.00 mL of the stock solution.