If a solution is made by mixing 5 liters of a 20% solution with 15 liters of a 1

If a solution is made by mixing 5 liters of a 20% solution with 15 liters of a 10% solution, what is the concentration of the resulting solution?

If a solution is made by mixing 5 liters of a 20% solution with 15 liters of a 10% solution, what is the concentration of the resulting solution?

Step 1: Calculate the amount of solute in the 20% solution. Multiply 5 liters by 0.2 (20%). This gives you 1 liter of solute.
Step 2: Calculate the amount of solute in the 10% solution. Multiply 15 liters by 0.1 (10%). This gives you 1.5 liters of solute.
Step 3: Add the amounts of solute from both solutions together. 1 liter + 1.5 liters = 2.5 liters of total solute.
Step 4: Calculate the total volume of the mixed solution. Add 5 liters and 15 liters together. This gives you 20 liters of total solution.
Step 5: Calculate the concentration of the resulting solution. Divide the total solute (2.5 liters) by the total volume (20 liters) and multiply by 100 to get the percentage. (2.5 / 20) * 100 = 12.5%.

Concentration Calculation – Understanding how to calculate the concentration of a solution by determining the total amount of solute and the total volume of the solution.
Mixing Solutions – Applying the principles of mixing different concentrations to find the overall concentration of the resulting solution.