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A container has 60 liters of a solution that is 15% acid. If 10 liters of the so

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Question: A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?

Options:

  1. 10%
  2. 12%
  3. 15%
  4. 18%

Correct Answer: 12%

Solution: 

Acid removed = 15% of 10L = 1.5L. Remaining acid = 9L. New total = 60L. New percentage = (9/60) * 100 = 15%.

A container has 60 liters of a solution that is 15% acid. If 10 liters of the so

Practice Questions

Q1
A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?
  1. 10%
  2. 12%
  3. 15%
  4. 18%

Questions & Step-by-Step Solutions

A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?
  • Step 1: Calculate the amount of acid in the original solution. Since the solution is 15% acid, we find 15% of 60 liters.
  • Step 2: Calculate 15% of 60 liters: 0.15 * 60 = 9 liters of acid.
  • Step 3: Determine how much acid is in the 10 liters of solution that is removed. Calculate 15% of 10 liters: 0.15 * 10 = 1.5 liters of acid.
  • Step 4: Subtract the amount of acid removed from the original amount of acid: 9 liters - 1.5 liters = 7.5 liters of acid remaining.
  • Step 5: After removing 10 liters of solution, we replace it with 10 liters of water. The total volume of the solution remains 60 liters.
  • Step 6: Calculate the new percentage of acid in the solution. The new amount of acid is 7.5 liters in 60 liters of solution.
  • Step 7: To find the new percentage, divide the amount of acid by the total volume and multiply by 100: (7.5 / 60) * 100 = 12.5%.
  • Concentration and Dilution – Understanding how the concentration of a solution changes when a portion is removed and replaced with a solvent.
  • Percentage Calculation – Calculating the new percentage of a solution after a change in volume and composition.
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