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A solution contains 25% salt. If 8 liters of the solution is removed and replace

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Question: A solution contains 25% salt. If 8 liters of the solution is removed and replaced with water, what is the new concentration of salt in the solution?

Options:

  1. 20%
  2. 25%
  3. 30%
  4. 15%

Correct Answer: 20%

Solution:

Salt removed = 25% of 8L = 2L. New solution = 32L, new salt % = (25L / 32L) * 100 = 20%.

A solution contains 25% salt. If 8 liters of the solution is removed and replace

Practice Questions

Q1
A solution contains 25% salt. If 8 liters of the solution is removed and replaced with water, what is the new concentration of salt in the solution?
  1. 20%
  2. 25%
  3. 30%
  4. 15%

Questions & Step-by-Step Solutions

A solution contains 25% salt. If 8 liters of the solution is removed and replaced with water, what is the new concentration of salt in the solution?
  • Step 1: Understand that the original solution has 25% salt. This means that in every 100 liters of solution, there are 25 liters of salt.
  • Step 2: Calculate how much salt is in the 8 liters of solution that is removed. Since the solution is 25% salt, the amount of salt removed is 25% of 8 liters.
  • Step 3: Calculate 25% of 8 liters. This is done by multiplying 8 by 0.25, which equals 2 liters of salt removed.
  • Step 4: After removing 8 liters of the solution, we replace it with 8 liters of water. This means we still have 32 liters of solution in total (24 liters of original solution + 8 liters of water).
  • Step 5: Calculate the new amount of salt in the solution. Since we removed 2 liters of salt, we now have 25 liters of salt left in the 32 liters of solution.
  • Step 6: Calculate the new concentration of salt. This is done by dividing the amount of salt (25 liters) by the total volume of the solution (32 liters) and then multiplying by 100 to get a percentage.
  • Step 7: The new concentration of salt is (25L / 32L) * 100, which equals approximately 78.125%.
  • 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 volume.
  • Volume Change – Recognizing how the total volume of the solution affects concentration.
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