At equilibrium ,`Delta G= ……………`

Answer

To solve the question "At equilibrium, ΔG = ……………", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Equilibrium**:
At equilibrium, the rates of the forward and reverse reactions are equal. This means that the system is in a state of balance.

2. **Recall the Gibbs Free Energy Equation**:
The Gibbs free energy change (ΔG) for a reaction is given by the equation:
\[ \Delta G = \Delta G^\circ + 2.303 RT \log Q_C \]
where:
- ΔG° is the standard Gibbs free energy change,
- R is the universal gas constant,
- T is the temperature in Kelvin,
- Q_C is the reaction quotient.

3. **Apply the Concept at Equilibrium**:
At equilibrium, the reaction quotient (Q_C) becomes the equilibrium constant (K_C). Therefore, we can rewrite the equation as:
\[ \Delta G = \Delta G^\circ + 2.303 RT \log K_C \]

4. **Set ΔG to Zero at Equilibrium**:
At equilibrium, ΔG is equal to zero:
\[ 0 = \Delta G^\circ + 2.303 RT \log K_C \]

5. **Rearrange the Equation**:
Rearranging the equation gives:
\[ \Delta G^\circ = -2.303 RT \log K_C \]

6. **Conclusion**:
Since we established that ΔG equals zero at equilibrium, we conclude:
\[ \Delta G = 0 \]

### Final Answer:
At equilibrium, ΔG = 0.