to what volume should you dilute 0.100L of a 15M NaOH solution to obtain a 1.0M NaOH solution

you want 1/15 the concentration, so you need 15 times the volume

To determine the volume of the 15M NaOH solution that needs to be diluted, we can use the formula for dilution:

C1V1 = C2V2

Where:
C1 = initial concentration of the solution = 15M
V1 = initial volume of the solution = 0.100L
C2 = final concentration of the solution = 1.0M
V2 = final volume of the solution (to be determined)

We can rearrange the formula to solve for V2:

V2 = (C1V1) / C2

Substituting the values we know:

V2 = (15M * 0.100L) / 1.0M

V2 = (1.5L) / 1.0

Therefore, you need to dilute the 0.100L of the 15M NaOH solution to a final volume of 1.5L to obtain a 1.0M NaOH solution.