Question

You have an NaOH solution that has a concentration of 0.660 M and a volume of 50.0 milliliters. You dilute this solution with water to a total volume of 450.0 milliliters. What is the final concentration of the solution?

Answer 1

0.073 M

Step-by-step explanation:

We are given;

Initial concentration, M1 of NaOH solution as 0.660 M

Initial volume,V1 of solution as 50.0 mL

Final volume,V2 of solution after dilution as 450 mL

We are required to calculate the final concentration, M2.

We are going to use the concept on dilution.

• Dilution involves addition of solvent to a concentrated solution to make it dilute.
• This results to an increase in the final volume of solution and a decrease in the concentration of the solution.

Using dilution formula,

M1V1 = M2V2

M2 = M1V1 ÷ V2

= (0.660 M × 50.0 mL) ÷ 450.0 mL

= 0.0733 M

= 0.073 M

Thus, the final concentration of the solution is 0.073 M