How much water would you add to 12 M HCl to make 650 mL of 1.5 M HCl? Hint: This is a dilution problem

you are diluting it 12/1.5 times, or 8 times.

8 times means one part original, seven parts water.

well, 8 parts makes 650ml, so one part is 650/8=81.25 ml of acid, then
7 parts water (7*81.25 or 650-81.25) 569ml

Your teacher is too easy.

Agreed it is a dilution problem. There is however a problem with the wording as it is not good practice to add water to the concentrated acid.

if we use

M1V1=M2V2

then

12V1=650x1.5

to find the initial volume (V1) of the 12 M needed

The volume of water to which the 12 M HCl is added is then 650 ml-V1.

Bob types faster than me!!

To solve this dilution problem, we can use the formula:

M1V1 = M2V2

Where:
M1 is the initial concentration of the solution (12 M in this case)
V1 is the initial volume of the solution (unknown)
M2 is the final concentration of the solution (1.5 M in this case)
V2 is the final volume of the solution (650 mL in this case)

Let's rearrange the formula to solve for V1:

V1 = (M2 * V2) / M1

Substituting the given values:

V1 = (1.5 M * 650 mL) / 12 M

Using this formula, we can calculate V1:

V1 = (975 mL*mol) / 12 M

V1 ≈ 81.25 mL

Therefore, you would add approximately 81.25 mL of water to 12 M HCl to make 650 mL of 1.5 M HCl.