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Solutions — Class 12 ISC Chemistry revision notes

A 5-page visual revision sheet for Solutions, written for Class 12 ISC Chemistry. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Solutions in one look

Raoult's law, and the four properties that only count particles

Ways of saying how concentrated it is

  • molarity M = moles of solute per litre of SOLUTION, and it changes with temperature because volume does
  • molality m = moles of solute per kg of SOLVENT, and it does NOT change with temperature, which is why every colligative formula uses it
  • mole fraction x = moles of one component over total moles, and the fractions of a mixture sum to 1
  • mass per cent and parts per million are mass over mass, the second multiplied by 10^6 and used for traces
  • converting molarity to molality needs the density, so a question that gives density is asking for exactly that conversion

Solubility, and the two rules that govern a gas

  • like dissolves like: polar solutes dissolve in polar solvents because the solute solvent attraction can replace what it breaks
  • for most solids dissolving is endothermic, so solubility rises with temperature; where dissolving is exothermic it falls, and cerium sulphate is the standard example
  • Henry's law: the partial pressure of a gas over a solution is proportional to its mole fraction in solution, p = K_H x
  • so a LARGER K_H means a LESS soluble gas, and K_H rises with temperature, which is why a warm fizzy drink goes flat and why cold water holds more oxygen
  • the law explains both the bends in divers and the sealing of soft drinks under high carbon dioxide pressure

Raoult's law, in its two forms

  • volatile solute and solvent p_A = p_A^0 x_A, and total p = p_A^0 x_A + p_B^0 x_B
  • non volatile solute p = p^0 x_solvent, so only the solvent contributes
  • relative lowering (p^0 - p) / p^0 = x_solute
  • vapour composition y_A = p_A / p_total, and the vapour is richer in the more volatile component
  • Henry, for comparison p = K_H x, the same shape with a different constant

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