# What is the minimum volume of a 5.00 M NaOH solution needed to make 250.0 mL of a 0.600 M NaOH solution?

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Expert Answers

t-nez | Certified Educator

The equation used to calculate the quantity of a stock solution needed to make a more dilute solution is:

M1 x V1 = M2 x V2

Where M1 and V1 are the molarity and volume of the original stock solution and M2 and V2 are the molarity and volume of the diluted solution. Rearranging to solve for V1 gives:

V1 = (M2 x V2)/M1

V1 = (0.6000 M)(250 ml)/(5.00 M)

= 30 ml

To prepare this solution you would use a pipet to transfer 30 ml of stock solution to a 250 ml volumetric flask. Add distilled water almost to the line on the neck of the flask, stopper, invert and swirl. Use a dropper to add distilled water to the line on the neck of the flask and mix again by inverting and swirling.