How does it work?
Solutions and hydration
A solution is a homogeneous mixture: a solvent (most often water) and a solute. Water is a dipole, so it wraps ions and polar molecules in a “coat” — this is hydration. Ionic compounds break up into ions (dissociation), which is why their solutions conduct electricity.
NaCl(s) → Na⁺(aq) + Cl⁻(aq)
Concentrations
C% = msmsoln · 100% Cm = nV = msM · V C1V1 = C2V2
ms — mass of solute, msoln — mass of the whole solution, M — molar mass (NaCl: 58.44 g/mol), V — volume of the solution in L. When diluting, the number of moles stays the same; only the volume changes.
Solubility and gases
Solubility is the largest mass of a substance that will dissolve in 100 g of water at a given temperature. When a saturated solution is cooled, the excess crystallizes: 100 g of water saturated with KNO₃ at 60 °C (106 g), cooled to 20 °C (31.6 g), drops about 74 g of crystals. A gas dissolves better the higher its pressure and the lower the temperature:
c = kH · p Henry's law
Osmosis
A semipermeable membrane lets water through but holds back larger particles. Water crosses in both directions, but more often toward the side with more solute. The flow stops when the pressure difference equals the osmotic pressure:
π = i · c · R · T h = πρ · g i — number of particles from one formula unit (NaCl ideally 2, in practice about 1.8–1.9)
For 0.15 mol/L NaCl at 37 °C: π ≈ 1.9 · 150 mol/m³ · 8.314 · 310 K ≈ 7.3 bar. If we press on the solution harder than π, water flows the other way — this is reverse osmosis.
Freezing and boiling of solutions
ΔTf = i · Kf · m ΔTb = i · Kb · m water: Kf = 1.86, Kb = 0.512 K·kg/mol
m is the molality (moles of solute per 1 kg of water). What counts is the number of particles, not their kind — these are colligative properties. 1 mol of NaCl per kg of water (2 mol of ions) ideally lowers the freezing point by about 3.72 °C. For concentrated solutions the formulas are no longer accurate, which is why the graph also shows measurements.
Mixtures and separation
In a solution the particles are smaller than about 1 nm; in a colloid they are about 1–1000 nm (they scatter light — the Tyndall effect); in a suspension they are bigger still and settle over time. We choose a separation method by the differences: grain size (filtration), volatility (evaporation, distillation), density (separatory funnel, centrifuge) and affinity for the paper (chromatography).
Simplifications: we treat solutions as ideal where reasonable, we add volumes when diluting, and the molecule simulations are two-dimensional and slowed down.