Final answer:
The relationship between the free-energy change (∆G) of a reaction and its displacement from equilibrium is that the free-energy change is zero at equilibrium.
Step-by-step explanation:
The relationship between the free-energy change (∆G) of a reaction and its displacement from equilibrium is that the free-energy change is zero at equilibrium. When a reaction is not at equilibrium and has a positive value for ∆G, it means that the reaction is moving away from equilibrium and is non-spontaneous. On the other hand, if a reaction is not at equilibrium and has a negative value for ∆G, it means that the reaction is moving towards equilibrium and is spontaneous.