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How does Gibbs free energy change with concentration during a reaction?

During a chemical reaction, the Gibbs free energy varies with concentration, as it is influenced by the concentrations of both reactants and products.

The Gibbs free energy, denoted as GG, is a thermodynamic potential that quantifies the maximum reversible work a system can perform at constant temperature and pressure. Being a state function, its value is determined solely by the state of the system, independent of the path taken to reach that state. In the context of a chemical reaction, the change in Gibbs free energy, represented as ΔG\Delta G, is directly related to the concentrations of the reactants and products involved.

The relationship between Gibbs free energy and concentration is expressed by the equation:

ΔG=ΔG+RTlnQ,\Delta G = \Delta G^\circ + RT \ln Q,

where:

  • ΔG\Delta G^\circ is the standard Gibbs free energy change,
  • RR is the universal gas constant,
  • TT is the absolute temperature measured in Kelvin,
  • QQ is the reaction quotient, which reflects the relative concentrations of the products and reactants at any given moment during the reaction.

When a reaction reaches equilibrium, the reaction quotient QQ becomes equal to the equilibrium constant KK, and at this point, ΔG\Delta G is zero. This condition signifies that there is no net change occurring in the system, meaning no work can be extracted from the reaction. If QQ is less than KK (indicating a higher concentration of reactants compared to products), ΔG\Delta G will be negative, suggesting that the reaction is spontaneous in the forward direction. Conversely, if QQ exceeds KK (indicating a higher concentration of products than reactants), ΔG\Delta G will be positive, indicating that the reaction is non-spontaneous in the forward direction but spontaneous in the reverse direction.

In summary, the change in Gibbs free energy during a reaction is dependent on the concentrations of the reactants and products. It can be calculated using the equation:

ΔG=ΔG+RTlnQ,\Delta G = \Delta G^\circ + RT \ln Q,

and the sign of ΔG\Delta G indicates the direction of spontaneity for the reaction. Understanding this relationship is essential for predicting the behavior of chemical reactions.

Answered by: Prof. Sophie Harris
IB Chemistry Tutor
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