Solubility Rules: Why They Work (Not Just What They Say)
Solubility rules are not arbitrary — they emerge from thermodynamics and electrostatic interactions between ions in water. Let's break down the why behind the key patterns.
1. The Core Idea: "Like Dissolves Like" at the Ionic Level
Water dissolves ionic compounds because it is polar. The δ+ hydrogen ends attract anions, and the δ− oxygen end attracts cations.
- Driving force: The lattice energy (energy holding the solid together) vs. the hydration energy (energy released when ions are surrounded by water).
- Net energy change:
ΔHsolution=Lattice Energy−Hydration Energy
If ΔHsolution is negative (exothermic) or small positive, the compound tends to dissolve.
2. Why Some Salts Are Always Soluble (Group 1 & NH₄⁺)
Rule: All salts of NaX+, KX+, NHX4X+ are soluble.
Why?
- These cations are large and have low charge density (charge/size ratio is small).
- Their lattice energies are relatively low because the ions are far apart in the crystal.
- Their hydration energies are high enough to overcome the lattice energy.
Key formula: For a cation like KX+, the hydration energy is roughly:
ΔHhyd∝rq2
where q is charge and r is ionic radius.
Since q=1 and r is large, ΔHhyd is moderate — but lattice energy is even smaller.
Result: The net ΔHsolution is negative → spontaneous dissolution.
3. Why Nitrates, Acetates, and Chlorates Are Always Soluble
Rule: All nitrates (NOX3X−), acetates (CHX3COOX−), and chlorates (ClOX3X−) are soluble.
Why?
- These anions are large and polyatomic — their charge is spread over many atoms.
- This delocalization of charge means they have low charge density.
- They form weak ionic bonds with cations (low lattice energy).
- Water can easily hydrate them because the negative charge is not concentrated.
Key insight: The lattice energy for NaNOX3 is much smaller than for NaCl because NOX3X− is larger and more polarizable.
4. The "Exceptions" — Why Some Salts Are Insoluble
4.1. Carbonates, Phosphates, Sulfides (Except with Group 1 & NH₄⁺)
Rule: Most carbonates (COX3X2−), phosphates (POX4X3−), and sulfides (SX2−) are insoluble.
Why?
- These anions have high charge (−2 or −3) and are small (especially SX2−).
- This gives them very high charge density.
- They form extremely strong ionic bonds with cations (very high lattice energy).
- The hydration energy, though large, is not enough to overcome the lattice energy.
Example: For CaCOX3:
Lattice energy≈−2800 kJ/mol
Hydration energy≈−2400 kJ/mol
Net ΔHsolution≈+400 kJ/mol → insoluble
4.2. Silver, Lead, Mercury Halides
Rule: AgCl, PbClX2, HgX2ClX2 are insoluble (most other chlorides are soluble).
Why?
- AgX+, PbX2+, HgX2X2+ are soft (polarizable) cations.
- They form covalent character in their bonds with halides (especially ClX−, BrX−, IX−).
- This covalent contribution increases the effective lattice energy beyond what simple ionic models predict.
- Water cannot break these partially covalent bonds.
Key formula: The polarizing power of a cation is:
ϕ=rq …