In the lab, a chemist wants to make a solution by dissolving 87 grams of a substance in 300 grams of water. The chemist wants to study the amount of substance dissolved in the solution at any time t.  He establishes that after 18 minutes, the concentration is observed to be 1 part substance in 20 parts of solvent. The saturation concentration of such a substance dissolved in water is 1 part of the substance in 3 parts solvent. Determine an expression of knowing the amount of the substance dissolved in the solution at any time t, and at what time will all the substance be dissolved in the solution?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In the lab, a chemist wants to make a solution by dissolving 87 grams of a substance in 300 grams of water. The chemist wants to study the amount of substance dissolved in the solution at any time t.  He establishes that after 18 minutes, the concentration is observed to be 1 part substance in 20 parts of solvent. The saturation concentration of such a substance dissolved in water is 1 part of the substance in 3 parts solvent.

  • Determine an expression of knowing the amount of the substance dissolved in the solution at any time t, and
  • at what time will all the substance be dissolved in the solution?
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