Quick Recap — Concentration & Colligative Calculations

  • M=nV(L)M=\dfrac{n}{V(L)}, m=nkg solventm=\dfrac{n}{\text{kg solvent}}; from mass %: M=10×%(w/w)×dmolar massM=\dfrac{10\times\%(w/w)\times d}{\text{molar mass}}.
  • ΔTb=iKbm\Delta T_b=iK_b m, ΔTf=iKfm\Delta T_f=iK_f m, π=iMRT\pi=iMRT (use Kb=0.52K_b=0.52, Kf=1.86K_f=1.86 for water; R=0.0821R=0.0821 L\cdotatm/mol\cdotK).
  • Raoult: p=pxsolventp=p^\circ x_{solvent}; ppp=xsolute\dfrac{p^\circ-p}{p^\circ}=x_{solute}.
  • More particles (larger ii) \Rightarrow larger colligative effect.