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Concentration & Solubility

World B — Acids, Bases & Solutions

19.A — MEASURING CONCENTRATION

R19.01 Qualitative Concentration
  • Dilute: Very little solute relative to solvent.
  • Concentrated: Large amount of solute.
  • A purely comparative description.
1L
R19.02 Molarity (M)
  • Moles of solute / Liters of Solution.
  • Volume-dependent.
  • Changes with temperature (liquids expand).
1 kg
MASS
R19.03 Molality (m)
  • Moles of solute / Kilograms of Solvent.
  • Mass-dependent.
  • Independent of temperature changes.
X₁
X₂
R19.04 Mole Fraction (X)
  • Moles of component / Total moles in mixture.
  • Unitless ratio.
  • Sum of all mole fractions = 1.
R19.05 Mass Percentage
  • (Mass of Solute / Total Mass of Solution) × 100.
  • Often written as % w/w.
  • Common for solid-in-liquid solutions.
R19.06 Parts Per Million (ppm)
  • For extremely trace quantities.
  • Mass of solute / Mass of solution × 10⁶.
  • Used for pollutants in air/water.

19.B — SOLUBILITY DYNAMICS

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R19.07 Saturation Point
  • Maximum solute dissolved at a specific temperature.
  • Dynamic equilibrium: Dissolving rate = Crystallizing rate.
  • Any extra solute falls to the bottom.
R19.08 Supersaturation
  • Solution holds more solute than saturation limit.
  • Created by heating, dissolving, and slow cooling.
  • Highly unstable; seed crystal causes rapid precipitation.
R19.09 Temp Effect (Solids)
  • For most solids in liquids, solubility increases with heat.
  • Heat provides kinetic energy to break solute bonds.
R19.10 Temp Effect (Gases)
  • For gases in liquids, solubility DECREASES with heat.
  • Increased kinetic energy allows gas molecules to escape.
  • Reason soda goes flat when warm.
R19.11 Henry's Law
  • Gas solubility is directly proportional to partial pressure above liquid.
  • Pushing piston down (Pressure↑) forces gas into solution (Solubility↑).
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R19.12 The Dilution Law
  • $M_1V_1 = M_2V_2$.
  • Moles of solute remain constant before and after dilution.
  • Only volume changes, lowering concentration.