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IMAT Chemistry · Solutions and Concentration

Like Dissolves Like, Electrolytes and Saturation

A substance dissolves when its particles are attracted to the solvent's about as strongly as to each other, and only up to a limit that depends on temperature.

Why this matters

Solubility appears in 2012, 2015, 2017, 2018 and 2020: which substance dissolves best in which solvent, which particles are in a salt solution, and what happens when a saturated solution cools.

Concept 1 of 3: Like dissolves like: polar and non-polar solvents

To dissolve, solute particles must separate from each other and mix among the solvent particles. This only happens if the new attractions to the solvent are about as strong as the ones that are broken. Polar water attracts ions and polar molecules; a non-polar solvent such as hexane only offers weak forces, so it dissolves non-polar substances.

Definition

  • Polar solvents (water, ethanol) dissolve ionic compounds and polar molecules. Water molecules surround each ion (hydration).
  • Non-polar solvents (hexane, cyclohexane, tetrachloromethane) dissolve non-polar substances such as iodine, bromine, fats and oils.
  • Molecules with OH or NH groups (ethanol, glucose, sucrose, urea) dissolve in water by forming hydrogen bonds with it. Sucrose is polar.
  • Giant covalent solids (silicon dioxide, diamond) dissolve in neither.
  • Not every ionic compound dissolves in water (CaCO3\mathrm{CaCO_3}, AgCl\mathrm{AgCl}, BaSO4\mathrm{BaSO_4}), and not every covalent compound is insoluble.
SoluteIn water (polar)In hexane (non-polar)Reason
Most ionic salts (NaCl, KNO₃)DissolveDo not dissolveWater's dipoles attract the ions
Small polar molecules (ethanol, glucose, sucrose)DissolveDissolve poorlyHydrogen bonds with water
Non-polar molecules (I₂, Br₂, oils, alkanes)Barely dissolveDissolveOnly weak dispersion forces on both sides
Non-polar gases (O₂, N₂, H₂)Very slightlySlightlyWeak attractions to any solvent
Giant covalent solids (SiO₂, diamond)InsolubleInsolubleStrong covalent network cannot be broken
Practice this conceptself-check · 3 quick reps

Ionic does not always mean soluble, covalent does not always mean insoluble

Calcium carbonate and silver chloride are ionic but insoluble in water. Sugar and ethanol are covalent but very soluble, because they are polar and form hydrogen bonds. Statements starting with all ionic or all covalent are wrong.

Concept 2 of 3: Electrolytes and non-electrolytes: which particles are in a solution

When an ionic solid dissolves, its ions separate and move freely among the water molecules, so the solution conducts electricity. A molecular solute such as sugar dissolves as whole molecules, which carry no charge, so the solution does not conduct.

Definition

  • An electrolyte dissolves to give ions, so its solution conducts electricity.
  • A strong electrolyte (soluble ionic compounds, strong acids and bases) is fully split into ions (dissociated).
  • A weak electrolyte (ethanoic acid, ammonia) forms only a few ions; most of it stays as molecules.
  • A non-electrolyte (glucose, sucrose, ethanol, urea) dissolves as molecules only.
  • An aqueous salt solution contains ions and water molecules, but no free atoms.
  • The current is carried by moving ions, not electrons. Solid ionic compounds do not conduct; molten or dissolved ones do.
Solute typeParticles in waterConducts?Examples
Strong electrolyteIons only, plus water moleculesWellNaCl, HCl, KOH, MgCl₂
Weak electrolyteMostly molecules, a few ionsWeaklyEthanoic acid, ammonia
Non-electrolyteSolute molecules and water moleculesNoGlucose, sucrose, ethanol, urea
Undissolved ionic solidIons fixed in a latticeNoSolid sodium chloride
Practice this conceptself-check · 4 quick reps

A salt solution contains ions and molecules, not atoms

Sodium chloride solution contains Na+\mathrm{Na^+} and Cl−\mathrm{Cl^-} ions among water molecules. There are no free sodium or chlorine atoms, and no NaCl units. Options that include single atoms are wrong.

Concept 3 of 3: Solubility, saturation and crystals formed on cooling

Water can only hold so much of a solute at a given temperature. Hot water usually holds more solid, so a hot saturated solution that cools must get rid of the extra solute, which comes out as crystals. The water stays; only solute leaves.

Definition

  • Solubility: the maximum mass of solute that dissolves in 100 g of solvent at a given temperature (unit g per 100 g of water), or the concentration of a saturated solution.
  • Saturated: no more solute dissolves at that temperature, and extra solid stays undissolved. Unsaturated: more can dissolve. Supersaturated: holds more than the solubility, an unstable state.
  • Most solids become more soluble as temperature rises; a few (calcium hydroxide) become less soluble.
  • Gases become less soluble as temperature rises, and more soluble at higher pressure (Henry's law: solubility is proportional to the gas pressure).
  • When a saturated solution cools, solid crystallises, the mass of water stays the same, and the solution left is still saturated but less concentrated.

Mass of crystals formed on cooling

mcrystals=(Shot−Scold)×mwater100m_{\text{crystals}} = (S_{\text{hot}} - S_{\text{cold}}) \times \frac{m_{\text{water}}}{100}
  • Shot,ScoldS_{\text{hot}}, S_{\text{cold}}solubility at each temperature, in g per 100 g of water
  • mwaterm_{\text{water}}mass of water, in g

Worked example

A salt has a solubility of 80 g per 100 g of water at 70 °C and 30 g per 100 g of water at 20 °C. A saturated solution made with 200 g of water at 70 °C is cooled to 20 °C. What mass of crystals forms, and what is the mass of solution left?
Practice this conceptself-check · 4 quick reps

Cooling removes solute, not solvent

When a saturated solution of a solid cools, crystals form but the mass of water is unchanged. The remaining solution is still saturated, and its concentration is lower. Statements saying the concentration stays the same, or that water is lost, are wrong.

Gases dissolve less in warm water

The rule that solubility rises with temperature is for most solids only. For gases it is the reverse, which is why warm water holds less oxygen for fish.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Formulas (1)

Reference tables (2)

Like dissolves like: polar and non-polar solvents5 rows
SoluteIn water (polar)In hexane (non-polar)Reason
Most ionic salts (NaCl, KNO₃)DissolveDo not dissolveWater's dipoles attract the ions
Small polar molecules (ethanol, glucose, sucrose)DissolveDissolve poorlyHydrogen bonds with water
Non-polar molecules (I₂, Br₂, oils, alkanes)Barely dissolveDissolveOnly weak dispersion forces on both sides
Non-polar gases (O₂, N₂, H₂)Very slightlySlightlyWeak attractions to any solvent
Giant covalent solids (SiO₂, diamond)InsolubleInsolubleStrong covalent network cannot be broken
Electrolytes and non-electrolytes: which particles are in a solution4 rows
Solute typeParticles in waterConducts?Examples
Strong electrolyteIons only, plus water moleculesWellNaCl, HCl, KOH, MgCl₂
Weak electrolyteMostly molecules, a few ionsWeaklyEthanoic acid, ammonia
Non-electrolyteSolute molecules and water moleculesNoGlucose, sucrose, ethanol, urea
Undissolved ionic solidIons fixed in a latticeNoSolid sodium chloride

Watch out for (4)

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