Analyse examples of non-equilibrium systems in terms of the effect of entropy and enthalpy, for example:
Combustion is a classic example of an irreversible, non-equilibrium system. It is a "spontaneous" reaction that, once started, drives itself to completion.
The Reaction Equation:
$$ 2\text{C}8\text{H}{18}(l) + 25\text{O}_2(g) \to 16\text{CO}_2(g) + 18\text{H}_2\text{O}(g) $$
Since both enthalpy (energy release) and entropy (increased disorder) favor the products, the reaction is driven strongly to the right. It effectively goes to completion and does not establish an equilibrium.
Photosynthesis is a non-spontaneous process in thermodynamic terms. It is a system that builds order from disorder, requiring a constant input of energy.
The Reaction Equation:
$$ 6\text{CO}_2(g) + 6\text{H}_2\text{O}(l) \xrightarrow{\text{light}} \text{C}6\text{H}{12}\text{O}_6(s) + 6\text{O}_2(g) $$