If a mixture is made by combining 5 liters of a 10% solution with 15 liters of a
Practice Questions
Q1
If a mixture is made by combining 5 liters of a 10% solution with 15 liters of a 20% solution, what is the overall percentage concentration of the solution?
15%
16%
17%
18%
Questions & Step-by-Step Solutions
If a mixture is made by combining 5 liters of a 10% solution with 15 liters of a 20% solution, what is the overall percentage concentration of the solution?
Step 1: Calculate the amount of acid in the 10% solution. Multiply 5 liters by 0.10 (10%). This gives you 0.5 liters of acid.
Step 2: Calculate the amount of acid in the 20% solution. Multiply 15 liters by 0.20 (20%). This gives you 3 liters of acid.
Step 3: Add the amounts of acid from both solutions together. 0.5 liters + 3 liters = 3.5 liters of acid.
Step 4: Calculate the total volume of the mixture. Add 5 liters and 15 liters together. This gives you 20 liters of total solution.
Step 5: Calculate the overall percentage concentration. Divide the total acid (3.5 liters) by the total volume (20 liters) and multiply by 100. (3.5 / 20) * 100 = 17.5%.
Concentration Calculation – Understanding how to calculate the concentration of a solution by combining different volumes and percentages.
Mixture Problems – Applying the principles of mixing solutions to find the overall concentration.
