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A solution contains 25% salt. If 20 liters of the solution is taken out and repl

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Question: A solution contains 25% salt. If 20 liters of the solution is taken out and replaced with water, what is the concentration of salt in the new solution?

Options:

  1. 20%
  2. 25%
  3. 30%
  4. 35%

Correct Answer: 25%

Solution:

Removing 20 liters of 25% salt solution removes 5 liters of salt. The remaining solution has 15 liters of salt in 80 liters total, so the concentration remains 25%.

A solution contains 25% salt. If 20 liters of the solution is taken out and repl

Practice Questions

Q1
A solution contains 25% salt. If 20 liters of the solution is taken out and replaced with water, what is the concentration of salt in the new solution?
  1. 20%
  2. 25%
  3. 30%
  4. 35%

Questions & Step-by-Step Solutions

A solution contains 25% salt. If 20 liters of the solution is taken out and replaced with water, what is the concentration of salt in the new solution?
  • Step 1: Understand that the original solution is 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 20 liters of solution that is taken out. Since the solution is 25% salt, 20 liters of solution contains 20 * 0.25 = 5 liters of salt.
  • Step 3: After removing 20 liters of the solution, we have 80 liters of the original solution left (100 liters - 20 liters = 80 liters).
  • Step 4: Calculate how much salt is left in the remaining 80 liters. Originally, there were 25 liters of salt in 100 liters. After removing 5 liters, there are 25 - 5 = 20 liters of salt left in the 80 liters of solution.
  • Step 5: Now, we add 20 liters of water to the remaining 80 liters of solution. This gives us a total of 100 liters of solution again (80 liters + 20 liters = 100 liters).
  • Step 6: Calculate the new concentration of salt. We still have 20 liters of salt in 100 liters of solution. The concentration is now 20 liters of salt / 100 liters of solution = 0.20 or 20%.
  • 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 amount of solute in a solution based on its percentage concentration.
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