Final answer:
To provide 20 g of NaOH, 200 mL of a 2.5 M NaOH stock solution would be needed.
Step-by-step explanation:
To determine the volume of a 2.5 M NaOH stock solution needed to provide 20 g of NaOH, we can use the formula:
moles = mass / molar mass
First, calculate the moles of NaOH:
moles = 20 g / 40.00 g/mol = 0.5 moles
Now, use the formula:
molarity = moles / volume
0.5 moles = 2.5 M x volume
volume = 0.5 moles / 2.5 M = 0.2 L = 200 mL
Therefore, the correct answer is option (b) 200 mL.