Final answer:
To find the volume of water for dilution, rearrange the dilution equation M1V1 = M2V2 to solve for the unknown volume, given the initial and final molarities and one of the volumes.
Step-by-step explanation:
To calculate the volume of water using the equation M1V1 = M2V2, where M1 and V1 are the molarity and volume of the initial solution, and M2 and V2 are the molarity and volume of the final solution post dilution, you will need to rearrange the equation algebraically.
This equation is known as the dilution equation. Given a scenario where you know M1, M2, and one of the volumes, you can solve for the unknown volume.
If you have 100 mL of a 2.0 M solution of HCl and dilute it to reach a final volume of 500 mL, you can calculate the new molarity, M2, by rearranging the dilution equation:
M1 x V1 = M2 x V2 → M2
= (M1 x V1) / V2
If M1 = 2.0 M and V1 = 100 mL, and you want to find the molarity after dilution (M2) with the final volume of 500 mL (V2), you'd use this equation.