You just do your calculation on the basis of moles:
Lets say you have a concentrated solution and its molarity is M
now If you want to prepare a m concentration solution 10 mL(0.010L) solution
find the moles needed in the final solution = moles = molarity x volume in litres = m x 0.010L = 0.01m moles
this much moles must be coming from concentration as the fresh water added won't have any NaOH
calculate volume needed of the concentrated solution to get 0.01m moles
moles = molrity x volume in litres
0.01m moles = M x V
V = 0.01m / M
V = volume of concentrated solution
now total volume = 10 mL of the concentrated solution
volume of water added to the conc. solution to get 10 mL solution
V + v = 10 mL
v = volume of fresh water
v = 10 mL - V
this way volume of fresh water added can be obtained
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