Quick Recap — Entropy, Gibbs Energy & Spontaneity

  • Entropy SS measures disorder; ΔS=qrevT\Delta S=\dfrac{q_{rev}}{T}; ΔSuniverse=ΔSsys+ΔSsurr>0\Delta S_{universe}=\Delta S_{sys}+\Delta S_{surr}>0 for a spontaneous change.
  • Gibbs: ΔG=ΔHTΔS\Delta G=\Delta H-T\Delta S; spontaneous if ΔG<0\Delta G<0; at equilibrium ΔG=0\Delta G=0.
  • ΔG=RTlnK=2.303RTlogK=nFE\Delta G^\circ=-RT\ln K=-2.303RT\log K=-nFE^\circ.
  • Sign analysis: ΔH<0,ΔS>0\Delta H<0,\Delta S>0 spontaneous at all TT; ΔH>0,ΔS<0\Delta H>0,\Delta S<0 never; the crossover is at T=ΔH/ΔST=\Delta H/\Delta S.