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A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a

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Question: A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a 30% acid solution. What is the concentration of acid in the final mixture?

Options:

  1. 24%
  2. 26%
  3. 28%
  4. 30%

Correct Answer: 26%

Solution: 

Total acid = (0.20 * 4) + (0.30 * 6) = 0.8 + 1.8 = 2.6 liters. Total volume = 4 + 6 = 10 liters. Concentration = (2.6/10) * 100 = 26%.

A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a

Practice Questions

Q1
A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a 30% acid solution. What is the concentration of acid in the final mixture?
  1. 24%
  2. 26%
  3. 28%
  4. 30%

Questions & Step-by-Step Solutions

A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a 30% acid solution. What is the concentration of acid in the final mixture?
  • Step 1: Calculate the amount of acid in the 20% solution. Multiply 4 liters by 0.20 (20%). This gives you 0.8 liters of acid.
  • Step 2: Calculate the amount of acid in the 30% solution. Multiply 6 liters by 0.30 (30%). This gives you 1.8 liters of acid.
  • Step 3: Add the amounts of acid from both solutions together. 0.8 liters + 1.8 liters = 2.6 liters of acid in total.
  • Step 4: Calculate the total volume of the mixture. Add the volumes of both solutions together. 4 liters + 6 liters = 10 liters total volume.
  • Step 5: Calculate the concentration of acid in the final mixture. Divide the total amount of acid (2.6 liters) by the total volume (10 liters) and multiply by 100 to get a percentage. (2.6 / 10) * 100 = 26%.
  • 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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