1.8.2 Gibbs free energy, entropy change

ΔS - entropy change, J K-1 mol-1

S is a measure of disorder / the energy of the system

increased ΔS = increased disorder

  • disorder increased for gases

  • disorder increased if number of moles increases

  • disorder increased if temperature increases, as particles gain (kinetic) energy and move further apart

at 0 Kelvin, crystal is perfectly ordered, so entropy is 0 J K-1 mol-1

ΔS = ΣSproducts - ΣSreactants


Gibbs free energy change, kJ mol-1

ΔG = ΔH - TΔS

  • same form as y = mx + c, so straight line graph of ΔG against ΔS

feasible = a reaction that is energetically possible and likely to occur spontaneously

  • feasible reactions go spontaneously in the direction of increasing disorder, so have a positive ΔS

  • ΔG ≤ 0 for a feasible reaction

    • ΔG = ΔH - TΔS

    • ΔG more likely to be negative if ΔH is negative and ΔS is positive

  • changing temperature or reaction type changes feasibility


at the melting point

  • there’s a sudden increase in S

    • molecules lose their fixed arrangement and absorb heat energy

    • increased kinetic energy, increased disorder

  • ΔG = 0

    • the solid and liquid states coexist

    • the rate of melting = the rate of freezing

ΔS of vaporisation > ΔS of fusion, because a gas is more disordered than a liquid or solid

  • vaporisation = liquid to gas

  • fusion - solid to liquid