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A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a

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Question: A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?

Options:

  1. 15%
  2. 16%
  3. 17%
  4. 18%

Correct Answer: 16%

Solution: 

Total acid = (0.1 * 5) + (0.2 * 15) = 0.5 + 3 = 3.5 liters. Total volume = 5 + 15 = 20 liters. Concentration = (3.5/20) * 100 = 17.5%.

A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a

Practice Questions

Q1
A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
  1. 15%
  2. 16%
  3. 17%
  4. 18%

Questions & Step-by-Step Solutions

A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
  • Step 1: Calculate the amount of acid in the 5 liters of 10% solution. This is done by multiplying 5 liters by 0.1 (10%). So, 5 * 0.1 = 0.5 liters of acid.
  • Step 2: Calculate the amount of acid in the 15 liters of 20% solution. This is done by multiplying 15 liters by 0.2 (20%). So, 15 * 0.2 = 3 liters of acid.
  • Step 3: Add the amounts of acid from both solutions together. So, 0.5 liters + 3 liters = 3.5 liters of acid in total.
  • Step 4: Calculate the total volume of the mixture. This is done by adding the volumes of both solutions together. So, 5 liters + 15 liters = 20 liters total volume.
  • Step 5: Calculate the concentration of acid in the final mixture. This is done by dividing the total amount of acid (3.5 liters) by the total volume (20 liters) and then multiplying by 100 to get a percentage. So, (3.5 / 20) * 100 = 17.5%.
  • Concentration Calculation – Understanding how to calculate the concentration of a solution by combining volumes and percentages of different solutions.
  • Mixture Problems – Applying knowledge of mixing solutions to find the resulting concentration.
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