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Solution: The solubility of Cr(NO3)3 • 9H2O in water is 208 g per 100 g of water at 15˚C. A solution of Cr(NO3)3 • 9H2O in water at 35˚C is formed by dissolving 313 g in 100 g water. When this solution is slowly cooled to 15˚C, no precipitate forms. Is the solution that has cooled down to 15˚C unsaturated, saturated, or supersaturated?

Problem

The solubility of Cr(NO3)3 • 9H2O in water is 208 g per 100 g of water at 15˚C. A solution of Cr(NO3)3 • 9H2O in water at 35˚C is formed by dissolving 313 g in 100 g water. When this solution is slowly cooled to 15˚C, no precipitate forms. Is the solution that has cooled down to 15˚C unsaturated, saturated, or supersaturated?

Solution

We’re asked to classify the solution that has cooled down to 15˚C as unsaturated, saturated, or supersaturated.


Recall that solubility is the maximum amount of solute that can be dissolved in a solvent at a specific temperature.  


Solutions can be classified depending on the amount of solute present


  • Unsaturated solutionA solution that contains an amount of solute less than its solubility.
  • Saturated solution: A solution that contains an amount of solute equal to its solubility (at equilibrium)
  • Supersaturated solution: A solution that contains an amount of solute more than its solubility (starts to precipitate/crystallize)


We need to compare the amount of solute (Cr(NO3)3 • 9H2O) present in the given solution with its solubility


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