Equilibrium constant of a reaction is related to :

Options

A. Standard free energy change `Delta G^(@)`
B. Free energy change `Delta G`
C. Entropy change
D. None

Answer

To determine how the equilibrium constant of a reaction is related, we can follow these steps:

### Step 1: Understand the Definition of Equilibrium Constant
The equilibrium constant (K) is a numerical value that describes the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature.

### Step 2: Recall the Relationship with Gibbs Free Energy
We know that the Gibbs free energy change (ΔG) is related to the equilibrium constant (K) through the following equation:

\[ \Delta G^\circ = -RT \ln K \]

Where:
- \( \Delta G^\circ \) is the standard Gibbs free energy change,
- \( R \) is the universal gas constant,
- \( T \) is the temperature in Kelvin,
- \( K \) is the equilibrium constant.

### Step 3: Analyze the Equation
From the equation, we can see that:
- The equilibrium constant (K) is dependent on the Gibbs free energy change (ΔG).
- The temperature (T) also plays a role in determining the value of K.

### Step 4: Conclusion
Thus, we conclude that the equilibrium constant is related to the Gibbs free energy change and temperature. Therefore, the correct answer to the question is that the equilibrium constant of a reaction is related to Gibbs free energy change.

### Final Answer
The equilibrium constant of a reaction is related to Gibbs free energy change.