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A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 li

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Question: A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 liters of water, what is the new concentration of sugar in the solution?

Options:

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

Correct Answer: 20%

Solution: 

Initial sugar = 0.25 * 8 = 2 liters. New volume = 8 + 4 = 12 liters. New concentration = (2/12) * 100 = 16.67%.

A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 li

Practice Questions

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

Questions & Step-by-Step Solutions

A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 liters of water, what is the new concentration of sugar in the solution?
  • Step 1: Calculate the amount of sugar in the original solution. Since the solution is 25% sugar, multiply 25% (or 0.25) by the total volume of the solution, which is 8 liters. So, 0.25 * 8 = 2 liters of sugar.
  • Step 2: Calculate the new total volume of the solution after adding water. The original solution is 8 liters, and we add 4 liters of water. So, 8 + 4 = 12 liters.
  • Step 3: Calculate the new concentration of sugar in the diluted solution. The amount of sugar remains the same at 2 liters, and the new total volume is 12 liters. To find the concentration, divide the amount of sugar by the new total volume and multiply by 100 to get a percentage. So, (2 / 12) * 100 = 16.67%.
  • Concentration Calculation – Understanding how to calculate the concentration of a solution before and after dilution.
  • Dilution Principle – Applying the principle that adding solvent increases the total volume and decreases the concentration of solute.
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