When you mix two or more substances with different levels of concentration, the final solution does not equate to the combined concentration levels of the original ingredients. The nature of the experiment drives the ingredients used, including their individual concentration levels. Concentration levels typically represent a percent of the original ingredient by volume of the container, because there are no set units of concentration.
For example, if you mix 100 ml of a 10 percent concentration of compound A with 250 ml of a 20 percent concentration of the same compound, a mathematical formula involving the initial concentrations of the two solutions, as well as the volume of the final solution, allows you to work out the final concentration in percent of the volume of the new combined solution.
Determine the volume of each concentrated substance used in the experiment. The calculation for the volume of compound A in the first concentration is (10 ÷ 100) x 100 ml, which is 10 ml. The calculation for the volume of compound A in the second concentration is (20 ÷ 250) x 250, which is 20 ml.
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Add these amounts together: 10 ml + 20 ml = 30 ml.
Add the two volumes together: 100 ml + 250 ml = 350 ml.
Use the formula c1 ÷ v1 = c2 ÷ v2 to convert the solution to a percentage of volume.
For example: 30 ml ÷ 350 ml = x ÷ 100 ml. Transpose for x, x being the concentration of the final solution. In this case, x = 30 x 100 ÷ 350, so x = 8.57 percent, meaning the final concentration of the solution is 8.57 percent.
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You can use any units you wish for the concentration values and volumes, so long as you use the same units for each of the two solutions. Concentration can also be expressed by percent composition by mass, mole fraction, molarity, molality or normality.
For example, work out the percent composition by mass of a 100 g salt solution containing 20 g salt by dividing the mass of the concentration by the mass of the solute then multiplying it by 100. The formula: (20 g ÷ 100g) x 100, which is 20 percent.
If you don't know the concentrations of your initial solutions, calculate molarity by dividing the number of moles in a solute by the volume of the solution in liters. For example, the molarity of a 0.60 moles of NaCl dissolved in 0.450 liters is 1.33M (0.60 ÷ 0.450). Do this for both substances to let you calculate the final concentration of the solution. (Remember 1.33M stands for 1.33 mol/L and not 1.3 moles.)