V1C1 = V2C2 - Wellesley College

Dilutions

Volume to Volume V1C1 = V2C2 Serial Dilutions Making Solutions Problems

Sometimes it is necessary to use one solution to make a specific amount of a more dilute solution. To do this, you can use the formula:

V1C1 = V2C2 where: V1 = volume of starting solution needed to make the new solution C1 = concentration of starting solution V2 = final volume of new solution C2 = final concentration of new solution For example: Make 5mL of a 0.25M solution from 2.5mL of a 1M solution. V1C1 = V2C2 (V1)(1M) = (5mL)(0.25M) V1 = [(5mL)(0.25M)] / (1M) V1 = 1.25mL So you will need to use 1.25mL of the 1M solution. Since you want the diluted solution to have a final volume of 5mL, you will need to add ( V1-V2 = 5mL - 1.25mL) 3.75mL of diluent.