Final answer:
To prepare 100 cm³ of a 0.01 M NaOH solution, calculate the moles of NaOH needed and then determine the volume of stock solution required. Assuming a stock solution of 1 M NaOH, you would need 1 mL of this stock solution, diluted to 100 mL total volume.
Step-by-step explanation:
To calculate the volume of a sodium hydroxide (NaOH) solution needed to prepare a 100 cm³ 0.01 M NaOH solution, we use the formula for molarity:
Molarity (M) = moles of solute / liters of solution
First, we must determine the number of moles of NaOH needed to make 100 cm³ of a 0.01 M solution:
(0.01 moles/L) × (0.1 L) = 0.001 moles of NaOH
Next, we need to find the concentration of the NaOH solution that we will use to prepare the dilute solution. Since that information is not provided, let's assume that we have a stock solution with a common concentration, for example, 1 M NaOH. Now we calculate the volume (V1) needed from this stock solution:
(Molarity of stock solution) × (Volume in L of stock solution) = moles of NaOH
(1 M) × (V1 in L) = 0.001 moles
V1 = 0.001 L or 1 mL of the stock solution
Therefore, you would need to dilute 1 mL of a 1 M NaOH stock solution to a final volume of 100 mL to make a 0.01 M solution.