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A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 l

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Question: A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 liters of water, what is the new percentage of sugar in the solution?

Options:

  1. 10%
  2. 15%
  3. 20%
  4. 25%

Correct Answer: 10%

Solution: 

Initial sugar = 20% of 5 liters = 1 liter. Total volume after dilution = 5 + 10 = 15 liters. New percentage = (1/15) * 100 = 6.67%.

A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 l

Practice Questions

Q1
A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 liters of water, what is the new percentage of sugar in the solution?
  1. 10%
  2. 15%
  3. 20%
  4. 25%

Questions & Step-by-Step Solutions

A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 liters of water, what is the new percentage of sugar in the solution?
  • Step 1: Calculate the amount of sugar in the original solution. Since the solution is 20% sugar, we find 20% of 5 liters.
  • Step 2: Calculate 20% of 5 liters. This is done by multiplying 5 liters by 0.20, which equals 1 liter of sugar.
  • Step 3: Determine the total volume of the new solution after dilution. We add the original 5 liters of solution to the 10 liters of water, which gives us 15 liters.
  • Step 4: Calculate the new percentage of sugar in the diluted solution. We take the amount of sugar (1 liter) and divide it by the total volume (15 liters), then multiply by 100 to get the percentage.
  • Step 5: Perform the calculation: (1 liter / 15 liters) * 100 = 6.67%. This is the new percentage of sugar in the solution.
  • Concentration and Dilution – Understanding how the concentration of a solution changes when additional solvent is added.
  • Percentage Calculation – Calculating the percentage of a component in a solution based on its volume and total volume.
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