Describe the relationship between the values of ΔG, Keq, and the direction that a reaction will spontaneously proceed.
![Helper](/images/users/0/1/128x128.jpeg)
3 years ago
3 years ago
oop! typo. That should be dG = - RTlnK
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
The relationship between ΔG (Gibbs free energy), Keq (equilibrium constant), and the direction of spontaneous reaction can be explained using the following principles:
1. ΔG: ΔG refers to the change in Gibbs free energy during a chemical reaction. It indicates whether the reaction is spontaneous or non-spontaneous. A negative ΔG value indicates that the reaction is spontaneous, while a positive ΔG value indicates a non-spontaneous reaction. If ΔG is zero, the reaction is said to be at equilibrium.
2. Keq: Keq is the equilibrium constant. It is a measure of the ratio of product concentrations to reactant concentrations at equilibrium. Keq values greater than 1 indicate that the concentration of products is greater than that of reactants at equilibrium, favoring the forward reaction. Keq values less than 1 indicate the opposite, favoring the reverse reaction.
3. Relationship between ΔG and Keq: The relationship between ΔG and Keq can be expressed by the equation: ΔG = -RT * ln(Keq), where R is the gas constant and T is the temperature in Kelvin. This equation shows that ΔG is directly related to Keq. If Keq is greater than 1, ln(Keq) is positive, resulting in a negative ΔG value. Hence, the reaction will proceed spontaneously in the forward direction. Conversely, if Keq is less than 1, ln(Keq) is negative, resulting in a positive ΔG value. In this case, the reaction will proceed spontaneously in the reverse direction.
In summary, a negative ΔG value indicates a spontaneous reaction moving in the forward direction (from reactants to products), while a positive ΔG value indicates a non-spontaneous reaction or a spontaneous reaction moving in the reverse direction (from products to reactants). The value of Keq determines the magnitude and direction of the ΔG value.