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How much of a 15% sulfuric acid solution would a chemist need to add to 12 liters of a 9% sulfuric acid solution to get an a 11% sulfuric acid solution? Solve

Verified Answer :

mhanifa

6 liters

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Use the variable x to represent the volume of the 15% solution needed.

Define the total volume of the final solution:

  • 12 + x liters

Set up the equation based on the final concentration:

  • 0.15x + 0.09(12) = 0.11(12 + x)

Expand and simplify the equation:

  • 0.15x + 1.08 = 1.32 + 0.11x

Isolate x:

  • 0.15x - 0.11x = 1.32 - 1.08
  • 0.04x = 0.24

Solve for x:

  • x = 0.24 / 0.04
  • x = 6

Therefore, the chemist needs to add 6 liters of the 15% sulfuric acid solution.

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