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Answer:

  • No, you cannot dissolve 4.6 moles of copper sulfate, CuSO₄, in 1750mL of water.

Explanation:

This question is part of a Post-Lab exercise sheet.

Such sheet include the saturation concentrations for several salts.

The saturation concentration of Copper Sulfate, CuSO₄, indicated in the table is 1.380M.

That means that 1.380 moles of copper sulfate is the maximum amount that can be dissolved in one liter of solution.

Find the molar concentration for 4.6 moles of copper sulfate in 1,750 mL of water.

You need to assume that the volume of water (1750mL) is the volume of the solution. This is, that the 4.6 moles of copper sulfate have a negligible volume.

1. Volume in liters:

  • V = 1,750 mL × 1 liter / 1,000 mL = 1.75 liter

2. Molar concentration, molarity, M:

  • M = number of moles of solute / volume of solution in liters

  • M = 4.6 moles / 1.75 liter = 2.6 M

Since the solution is saturated at 1.380M, you cannot reach the 2.6M concentration, meaning that you cannot dissolve 4.6 moles of copper sulfate, CuSO₄ in 1750mL of water.

Adding solute to the saturated solution. will leave solids at the bottom of the container, without changing the concentration of the solution.

  • 4.6 moles of Copper Sulfate cannot be dissolved in 1,750 mL of water.
  • The reason why is because 4.6 moles of more than the 2.263 moles of Copper Sulfate that can be dissolved in 1,750 mL of water.

Reasons:

The maximum solubility of copper sulfate, CuSO₄ in water at  20°C is 20.7 grams in 100 g of water;

Density of water, ρ = 997 kg/m³

[tex]\displaystyle \ The \ volume \ 100 \ g \ of \ water = \frac{0.1 \, kg}{997 \, kg/m^3} \approx 1.003 \times 10^{-4} \ m^3 = 100.3 \, ml[/tex]

The number of moles, n, of CuSO₄ in 20.7 grams is given as follows;

[tex]\displaystyle n = \frac{20.7 \, g}{159.609 \, g/mol} \approx 0.1296919 \, moles[/tex]

0.1296919 moles can be dissolved in 100.3 mL of water

Therefore;

[tex]1750 \, mL \ of \ water \ an \ dissolve\ \displaystyle \frac{0.1296919 \ moles}{100.3 \, mL} \times 1750 \, mL \approx 2.263 \ moles[/tex]

The maximum amount of copper sulfate that can be dissolved in 1,750 mL of water at 20°C is 2.263 moles.

Therefore;

  • 1,750 mL of water cannot dissolve up to 4.6 moles of Copper Sulfate CuSO₄ at 20°

This is so because the solubility of copper sulfate in 1750 mL of water is approximately 2.263 moles, which is less than the given 4.6 moles.

Learn more about solutes, solvents, and solubility here:

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