Pharmacy: Solubility Ratios

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23 Questions

What is the ratio of solubility of a substance if 100 g of a saturated solution contains 30 g of solute and 70 g of solvent?

1:2.33

If 100 mL of a saturated aqueous solution contains 20 g of a substance, what is the solubility of the substance if the specific gravity of the solution is 1.10?

1:4.5

What is the weight of solvent in 100 g of a saturated solution that contains 20 g of solute?

80 g

If a saturated aqueous solution has a strength of 15% (w/w), what is the ratio of solute to solvent?

1:6.67

What is the solubility of an anhydrous chemical if 150 g of a saturated aqueous solution leaves a residue of 30 g after evaporation?

1:4

What is the ratio of solubility of a substance if a saturated aqueous solution contains 15 g of solute in 100 mL?

1:6.67

What is the volume of water required to prepare 1 liter of a saturated solution of magnesium sulfate?

578.03 ml

What is the mass of magnesium sulfate required to prepare 1 liter of a saturated solution?

722.5 g

In a saturated solution of sucrose, what is the ratio of solute to solvent by mass?

1 : 0.547

A solute can dissolve in a solvent with a solubility ratio of 1:4. What is the minimum amount of solvent required to dissolve 1 gram of solute?

4 mL

What is the mass of solute in 100 ml of an 85% (w/v) saturated solution of sucrose?

85 g

What is the percentage strength (w/w) of a saturated aqueous solution, given that 1 gram of boric acid is soluble in 18 mL of water?

5.26%

If 1 gram of boric acid is soluble in 18 mL of alcohol, what is the percentage strength (w/w) of a saturated alcoholic solution?

6.49%

What is the specific gravity of a saturated solution of sucrose at a certain temperature?

1.313

What is the minimum amount of water required to dissolve 5 grams of a substance, given that its solubility is 1 gram in 3 mL of water?

15 mL

What is the volume of the resulting solution when 5 grams of a substance are dissolved in 15 mL of water, given that its solubility is 1 gram in 3 mL of water?

16.8 mL

How many grams of a substance are required to make 200 mL of a saturated solution, given that its solubility is 1 gram in 3 mL of water?

59.5 g

What is the mass of the solute in 100 ml of a saturated solution?

30 g

What is the ratio of solute to solvent in a saturated solution?

1 : 2.66

How many grams of the substance are required to prepare 1000 ml of a saturated solution?

851.06 g

What is the percentage strength (w/w) of the solution?

64.5 %

What is the specific gravity of the saturated solution?

1.319

What is the solubility of magnesium sulfate in water at 25°C?

1 g in 0.8 ml of water

Study Notes

Solubility Ratios

  • Solubility of a substance can be expressed as a ratio between the amount of solute and solvent at a given temperature.
  • Example: 100 g of saturated solution contains 100 g of solute and 300 g of solvent, so the solubility is 100:300 or 1:3.

Solubility Calculations

  • If 100 g of a saturated aqueous solution leaves a residue of 25 g after evaporation, the solubility is 1:3 or 1 g in 3 g or mL of water.
  • If a saturated aqueous solution contains 25 g of a substance in each 100 mL, and the specific gravity of the solution is 1.15, the solubility is 1:3.6 or 1 g in 3.6 g or mL of water.
  • If a saturated aqueous solution has a strength of 20% (w/w), the solubility is 1:4 or 1 g in 4 g or mL of water.

Solubility Examples

  • One gram of boric acid is soluble in 18 mL of water, so the percentage strength (w/w) of a saturated aqueous solution is 5.26%.
  • One gram of boric acid is soluble in 18 mL of alcohol, so the percentage strength (w/w) of a saturated alcoholic solution is 6.49%.
  • The solubility of a substance is 1 g in 3 mL of water. To make 200 mL of a saturated solution, 59.5 g of the substance and 178.5 mL of water should be used.

Solubility of Sucrose

  • If the percentage strength (w/v) of a saturated aqueous solution of sucrose is 85%, and the specific gravity of the solution is 1.313, the solubility of sucrose in water is 1:0.547.

Solubility of Unknown Substances

  • If a saturated aqueous solution contains 30 g of a substance in each 100 mL, and the specific gravity of the solution is 1.1, the solubility is 1:2.66.
  • If 20 g of a substance are dissolved in 11 mL of water, and the volume of the resulting solution is 23.5 mL, the solubility is 1:0.55, and the percentage strength (w/w) and (w/v) of the solution are 64.5% and 85.1%, respectively.

Test your understanding of solubility ratios and how to express the solubility of a substance. Learn how to calculate the relative amounts of solute and solvent from given data.

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