How do you calculate the final concentration after dilution?

The final concentration after dilution can be calculated using the formula C1V1 = C2V2, where C is concentration and V is volume.

In more detail, this formula is known as the dilution equation. It is used to calculate the final concentration of a solution after it has been diluted. The variables in the formula represent the following: C1 is the initial concentration of the solution, V1 is the initial volume of the solution, C2 is the final concentration after dilution, and V2 is the final volume after dilution.

To use this formula, you need to know three of the four variables. You can then rearrange the formula to solve for the unknown variable. For example, if you know the initial concentration and volume of a solution, and you know the final volume after dilution, you can calculate the final concentration (C2) by rearranging the formula to C2 = (C1V1) / V2.

Let's say you have 100 ml of a solution with a concentration of 0.5 mol/L, and you add enough water to make the final volume 200 ml. You can calculate the final concentration by substituting the known values into the formula: C2 = (0.5 mol/L * 100 ml) / 200 ml = 0.25 mol/L.

Remember, when using this formula, the units of volume must be the same on both sides of the equation. If you're given volumes in different units, you'll need to convert them to the same unit before you can use the formula. Also, this formula assumes that the volumes of the solutions are additive, which is generally a good approximation for dilute aqueous solutions.

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