Enter the initial concentration, initial volume, desired final concentration, and desired final volume into the calculator to determine the amount of water needed to dilute the solution to the desired concentration.
Water Dilution Formula
The following formula is used to calculate the amount of water needed to dilute a solution to a desired concentration.
W = (C1 * V1 - C2 * V2) / C2
Variables:
- W is the amount of water to add (ml)
- C1 is the initial concentration of the solution (mg/ml)
- V1 is the initial volume of the solution (ml)
- C2 is the desired final concentration (mg/ml)
- V2 is the desired final volume of the solution (ml)
To calculate the amount of water needed, multiply the initial concentration by the initial volume. Then, multiply the desired final concentration by the desired final volume. Subtract the second result from the first. Finally, divide the result by the desired final concentration.
What is a Water Dilution?
Water dilution refers to the process of reducing the concentration of a substance in a solution or mixture by adding more water. This method is commonly used in various fields such as chemistry, cooking, and pharmaceuticals to adjust the strength or potency of a substance. The end result is a less concentrated, or diluted, solution that maintains the original substance’s properties but at a lower intensity.
How to Calculate Water Dilution?
The following steps outline how to calculate the Water Dilution using the given formula:
- First, determine the initial concentration of the solution (C1) in mg/ml.
- Next, determine the initial volume of the solution (V1) in ml.
- Next, determine the desired final concentration (C2) in mg/ml.
- Next, determine the desired final volume of the solution (V2) in ml.
- Finally, use the formula W = (C1 * V1 – C2 * V2) / C2 to calculate the amount of water to add (W) in ml.
Example Problem:
Use the following variables as an example problem to test your knowledge:
Initial concentration of the solution (C1) = 10 mg/ml
Initial volume of the solution (V1) = 50 ml
Desired final concentration (C2) = 5 mg/ml
Desired final volume of the solution (V2) = 100 ml
