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A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a

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Question: A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a 50% acid solution. What is the percentage of acid in the new solution?

Options:

  1. 36%
  2. 38%
  3. 40%
  4. 42%

Correct Answer: 36%

Solution:

Acid from 30% solution = 0.3 * 15 = 4.5L. Acid from 50% solution = 0.5 * 5 = 2.5L. Total acid = 4.5 + 2.5 = 7L. Total volume = 15 + 5 = 20L. Percentage = (7/20) * 100 = 35%.

A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a

Practice Questions

Q1
A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a 50% acid solution. What is the percentage of acid in the new solution?
  1. 36%
  2. 38%
  3. 40%
  4. 42%

Questions & Step-by-Step Solutions

A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a 50% acid solution. What is the percentage of acid in the new solution?
  • Step 1: Calculate the amount of acid in the 30% solution. Multiply 15 liters by 0.3 (30%). This gives you 4.5 liters of acid.
  • Step 2: Calculate the amount of acid in the 50% solution. Multiply 5 liters by 0.5 (50%). This gives you 2.5 liters of acid.
  • Step 3: Add the amount of acid from both solutions together. 4.5 liters (from the 30% solution) + 2.5 liters (from the 50% solution) equals 7 liters of acid.
  • Step 4: Calculate the total volume of the new solution. Add 15 liters (from the 30% solution) + 5 liters (from the 50% solution) to get 20 liters total.
  • Step 5: Calculate the percentage of acid in the new solution. Divide the total amount of acid (7 liters) by the total volume (20 liters) and multiply by 100. This gives you 35%.
  • Concentration Calculation – Understanding how to calculate the concentration of a solution by combining different solutions with known concentrations.
  • Volume Addition – Recognizing that the total volume of the new solution is the sum of the volumes of the individual solutions.
  • Percentage Calculation – Calculating the percentage of a component in a mixture based on the total amount of that component and the total volume of the mixture.
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