16.3 The Effect of Temperature on Spontaneity


Direction of heat flow

  • Entropy changes in the surroundings are primarily determined by heat flow 
    • Exothermic reactions in a system at constant temperature increase the entropy of the surroundings
    • Endothermic reactions in a system at constant temperature decrease the entropy of the surroundings
    • The impact of the transfer of a given quantity of energy as heat to or from the surroundings will be greater at lower temperatures
  • ∆Ssurr = - ∆H/T
  • Where ∆Ssurr is the entropy of the surrounding  ∆H is the enthalpy and T is the temperature in Kelvin

Energy (G), also called “Gibbs Free Energy”

  • Calculating Free Energy change at constant temperature and pressure
  • ∆G = ∆H - T∆S
  • where H is enthalpy, T is temperature in Kelvin, and S is entropy

Free Energy and Spontaneity

  • Reactions proceed in the direction that lowers their free energy (-∆G)

∆H

T∆S

∆G

Spontaneity

negative

positive

negative

spontaneous

positive

negative

positive

Non-spontaneous

negative

negative

???

Spontaneous

at low

temperatures

positive

positive

???

Spontaneous

at high

temperatures