At dynamic equilibrium the reaction on both sides occur at the same rate and the mass on both sides of the equilibrium does not undergo any change. This condition can be achieved only when the value of `DeltaG` is

Options

A. `-1`
B. `+1`
C. `+2`
D. 0

Explanation

To determine the value of ΔG (Gibbs free energy) at dynamic equilibrium, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Dynamic Equilibrium**:
- At dynamic equilibrium, the rate of the forward reaction equals the rate of the reverse reaction. This means that the concentrations of reactants and products remain constant over time, even though both reactions are still occurring.

2. **Gibbs Free Energy (ΔG)**:
- Gibbs free energy (ΔG) is a thermodynamic potential that can be used to predict the direction of a chemical reaction. The sign of ΔG indicates whether a reaction is spontaneous or non-spontaneous.

3. **Conditions for Spontaneity**:
- If ΔG < 0, the reaction is spontaneous (it can proceed without external energy).
- If ΔG > 0, the reaction is non-spontaneous (it requires external energy to proceed).

4. **Equilibrium Condition**:
- At equilibrium, the system is in a state where the forward and reverse reactions occur at the same rate. This implies that there is no net change in the concentrations of reactants and products.

5. **Value of ΔG at Equilibrium**:
- At dynamic equilibrium, the system is in a stable state where the energy change associated with the system is zero. Therefore, the value of ΔG at equilibrium is:
\[ \Delta G = 0 \]

6. **Conclusion**:
- Thus, the condition of dynamic equilibrium can only be achieved when ΔG is equal to zero.

### Final Answer:
The value of ΔG at dynamic equilibrium is **0**.

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