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You find the concentration after mixing two solutions by using the formula C1V1 = C2V2, where C is concentration and V is volume.

To find the concentration after mixing two solutions, you need to know the initial concentrations and volumes of the two solutions. The formula C1V1 = C2V2 is used to calculate the final concentration. Here, C1 and V1 are the concentration and volume of the first solution, and C2 and V2 are the concentration and volume of the second solution.

First, you need to calculate the total volume of the mixed solution, which is the sum of the volumes of the two initial solutions (V1 + V2). Then, you can calculate the total amount of solute in the mixed solution, which is the sum of the amounts of solute in the two initial solutions. This can be calculated by multiplying the initial concentration of each solution by its volume (C1V1 + C2V2).

Finally, you can find the concentration of the mixed solution by dividing the total amount of solute by the total volume of the solution. This gives you the final concentration (Cf) of the mixed solution. The formula for this is Cf = (C1V1 + C2V2) / (V1 + V2).

Remember, concentration is a measure of how much solute is dissolved in a certain volume of solvent. So, when you mix two solutions together, the total amount of solute and the total volume of the solution will both change. By using the formula above, you can accurately calculate the new concentration.

It's important to note that this method assumes that the volumes of the two solutions are additive, which is usually a good approximation for dilute aqueous solutions. However, for more concentrated solutions or solutions in other solvents, the volumes may not be exactly additive, and a more complex calculation may be needed.

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