What is final concentration of a mixed solution combining 50ml of 20% solution, 150 ml of a 15% solution and 200 ml of a 35% solution?
To find the final concentration of the mixed solution, we need to calculate the total amount of solute (substance) in the solution and then divide it by the total volume of the solution.
Step 1: Calculate the amount of solute for each solution.
For the 20% solution:
Amount of solute = 50 ml × 0.20 = 10 ml
For the 15% solution:
Amount of solute = 150 ml × 0.15 = 22.5 ml
For the 35% solution:
Amount of solute = 200 ml × 0.35 = 70 ml
Step 2: Calculate the total amount of solute in the mixed solution.
Total amount of solute = 10 ml + 22.5 ml + 70 ml = 102.5 ml
Step 3: Calculate the total volume of the mixed solution.
Total volume of the mixed solution = 50 ml + 150 ml + 200 ml = 400 ml
Step 4: Calculate the final concentration.
Final concentration = (Total amount of solute / Total volume of solution) × 100
Final concentration = (102.5 ml / 400 ml) × 100
Final concentration ≈ 25.625%
Therefore, the final concentration of the mixed solution is approximately 25.625%.