Reactivity 1.4 – Entropy and spontaneity (HL)

R1.4.3 – ΔG and spontaneity

  • When carrying out calculations, we know that the value of T is always positive
  • Using the Gibbs formula, we can also find the temperature at which any reaction will become spontaneous

ΔG = ΔH – TΔS system

We know a negative G gives a spontaneous reaction

Therefore when ΔH TΔS system < 0

which then gives ΔH < TΔS system

Using this we can then calculate the temperature at which a particular reaction will be spontaneous

ΔH°ΔS°TΔGSpontaneity
positive (endothermic)positive lowpositive ≈ ΔH°not spontaneous
positive (endothermic)positivehighnegative ≈ –TΔS°spontaneous
positive (endothermic)negative lowpositive ≈ ΔH°not spontaneous
positive (endothermic)negative highpositive ≈ –TΔS°not spontaneous
negative (exothermic)positive lownegative ≈ ΔH°spontaneous
negative (exothermic)positivehighnegative ≈ –TΔS°spontaneous
negative (exothermic)negative lownegative ≈ ΔH°spontaneous
negative (exothermic)negative highpositive ≈ –TΔS°not spontaneous
  • This table outlines the different possibilities for reactions and how we can make reasonable guesses as to whether or not they can occur spontaneously