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

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

Options:

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

Correct Answer: 10%

Solution: 

Initial acid = 0.15 * 60 = 9 liters. After removing 10 liters, acid left = 9 - 0.15 * 10 = 7.5 liters. New volume = 60 liters. New percentage = (7.5/60) * 100 = 12.5%.

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

Practice Questions

Q1
A container has 60 liters of a solution that is 15% acid. If 10 liters of this solution is replaced with water, what is the new percentage of acid in the solution?
  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 this solution is replaced with water, what is the new percentage of acid in the solution?
  • Step 1: Calculate the initial amount of acid in the solution. Since the solution is 15% acid, multiply 60 liters by 0.15. This gives you 9 liters of acid.
  • Step 2: Determine how much acid is in the 10 liters of solution that will be removed. Since the solution is still 15% acid, multiply 10 liters by 0.15. This gives you 1.5 liters of acid.
  • Step 3: Subtract the amount of acid removed from the initial amount of acid. So, 9 liters (initial acid) - 1.5 liters (acid removed) = 7.5 liters of acid left.
  • Step 4: The total volume of the solution remains 60 liters after replacing the 10 liters with water.
  • Step 5: Calculate the new percentage of acid in the solution. Divide the amount of acid left (7.5 liters) by the total volume (60 liters) and multiply by 100. This gives you (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 percentage of a component in a solution based on its volume and concentration.
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