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Unit IX · Solutions
8 min readConcept sheetPart II (2 marks: define solubility, effect of pressure on gases), Part III (4 marks: factors affecting solubility) and solubility sums

Solubility and the factors affecting it

Solubility is the mass of solute that saturates 100 g of solvent at a given temperature. It depends on the nature of the substances, temperature and pressure.

SolubilityGrams of solute that dissolve in 100 g of solvent to make a saturated solution at a given temperature
FormulaSolubility = (mass of solute ÷ mass of solvent) × 100
Common salt36 g of NaCl dissolves in 100 g of water at 25 °C
PressureAffects only gases in liquids: the higher the pressure, the more gas dissolves

What solubility means

Water cannot dissolve an endless amount of salt. At 25 °C, 100 g of water stops taking salt after about 36 g: the solution is saturated. So the solubility of common salt at 25 °C is 36 g per 100 g of water. Solubility always refers to 100 g of solvent, not of solution, and to one stated temperature.

Factors affecting solubility

FactorEffectExample
Nature of solute and solventLike dissolves like. Ionic and polar solutes (with charged ends, like water molecules) dissolve in polar solvents; non-polar solutes dissolve in non-polar solvents.Salt dissolves in water; grease and wax dissolve in kerosene but not in water
Temperature: solids in liquids (endothermic)If dissolving takes in heat, solubility rises as temperature rises.Potassium nitrate (KNO₃), sugar
Temperature: solids in liquids (exothermic)If dissolving gives out heat, solubility falls as temperature rises.Calcium hydroxide (slaked lime), Ca(OH)₂
Temperature: gases in liquidsSolubility of a gas falls as temperature rises.Warm water holds less dissolved oxygen
PressureAffects gases only: more pressure, more gas dissolves.CO₂ is forced into soda water under pressure

Worked example: finding solubility

Problem

50 g of a saturated solution of sodium chloride at 30 °C contains 13.2 g of salt. Find the solubility of NaCl at 30 °C.

Working
  1. Mass of solvent (water) = mass of solution − mass of solute = 50 g − 13.2 g = 36.8 g
  2. Formula: solubility = (mass of solute ÷ mass of solvent) × 100
  3. Solubility = (13.2 ÷ 36.8) × 100
  4. = 0.3587 × 100 = 35.87 g (rounded to two decimal places)
Answer

Solubility of NaCl at 30 °C = 35.87 g per 100 g of water.

Worked example: using solubility

Problem

The solubility of NaCl at 25 °C is 36 g. What mass of NaCl will dissolve in 250 g of water at 25 °C?

Working
  1. 100 g of water dissolves 36 g of NaCl
  2. 1 g of water dissolves 36 ÷ 100 = 0.36 g
  3. 250 g of water dissolves 0.36 × 250 = 90 g
Answer

90 g of NaCl dissolves in 250 g of water at 25 °C.

Gases, heat and pressure in daily life

  • Opening a soda bottle lowers the pressure, so dissolved CO₂ escapes as bubbles.
  • A soda left in the sun goes flat faster, because gases are less soluble in warm liquids.
  • On hot afternoons fish come up to the surface: warm water holds less oxygen.
In real life

A soda bottle fizzes when opened because the pressure drops and CO₂ escapes. Hot tea can hold more sugar than cold water, which is why sugar is stirred in while the tea is hot.

Exam angle

2 marks: “What is solubility? Write the formula used to calculate it.” The number of grams of solute that dissolve in 100 g of solvent to form a saturated solution at a given temperature. Solubility = (mass of solute ÷ mass of solvent) × 100.

2 marks: “How does pressure affect the solubility of a gas in a liquid? Give an example.” More pressure makes more gas dissolve. Soda water is made by forcing CO₂ into water under pressure; opening the bottle lowers the pressure and the gas bubbles out.

4 marks: “How do the nature of the substances, temperature and pressure change solubility? Give one example for each.” Nature of solute and solvent (like dissolves like); temperature (endothermic solids rise, exothermic solids fall, gases fall); pressure (gases only: more pressure, more gas dissolves). One example each.

Remember it

Like dissolves like. Heat helps most solids but chases gases away. Pressure pushes gases in.