How much water must be added to 500.mL of .200M HCL to produce a .150M solution?

(.500mL x .200M)/.150M = .667mL
Correct?

A chemistry student needs 125mL f .150M NaOH solution for her experiment, but the only solution avail. is 3.00M. Describe how the student could prepare the solution needed.

I don't know about this one

2 answers

For the first one, check your work. I think you have an error of about 1000 times. I think 500*0.200/0.150 = 667 mL. However, that is the volume you will have, not how much water must be added. Water that must be added is 667-500 = ??

For the second one,
M*mL = M*mL.
125 mL * 0.15 M = 3.0 M x mL NaOH.
mL 3.0 M NaOH = (125*0.15/3.0) = 6.25 mL of the 3.0 M NaOH.
So measure exactly 6.25 mL of the 3.0 M NaOH and make to exactly 125 mL. (All of that may be easier said than done. Measuring exactly 6.25 mL could be done rather accurately with a buret (not many pipets of 6.25 mL) BUT making to exactly 125 mL would be hard to do for there aren't any 125 mL volumetric flasks. At least I've not seen one. But there could be a way around that. The student could add 12.50 mL of the 3.0 M NaOH to a 250 mL volumetric flask, then add water to the mark. That would be exact.
Your first one is close to being right. I just asked my chem teacher and he said that the V is the volume of the solution, not just the solvent. Therefore, you should subtract the already existing 500ml of water from those 667ml of solution, giving you 167ml of water needed.