Answer: 40mL
Explanation: What is required for this question is to obtain the number of moles of NaOH solute in the required solution.
Number of moles of solute in solution = (Concentration of solution in mol/L) × (Volume of solution in L)
Number of moles of NaOH in the required solution = 0.2 × (300/1000) = 0.06 moles
This number of moles has to be in the volume of stock solution used to make the required solution.
Volume of stock solution needed = (Number of moles of NaOH in the stock solution that has to match that in the required solution in L)/(concentration of stock solution in mol/L)
Volume of stock solution required = 0.06/1.5 = 0.04L = 40mL
QED.