Step 1: Understanding the Question:
The question asks us to identify which region in the concentration-versus-time graph represents the state of chemical equilibrium for the reversible reaction $\text{A} \rightleftharpoons \text{B}$.
Step 2: Detailed Explanation:
Dynamic chemical equilibrium is defined as the state in a reversible chemical reaction where the rates of the forward and backward reactions become equal.
As a direct consequence, the concentrations of both reactants (A) and products (B) become constant over time.
Let us analyze the three regions indicated on the plot:
- In Region (1): The concentration of A is rapidly decreasing, and the concentration of B is rapidly increasing. The concentrations are changing, which shows that the reaction is far from equilibrium.
- In Region (2): The rates of change are slowing down, but the concentrations of both A and B are still changing over time.
- In Region (3): Both curves become completely flat and horizontal (parallel to the time axis). This means that the concentrations of A and B have become completely constant with respect to time, which is the hallmark of a system at equilibrium.
Therefore, Region (3) represents the state of chemical equilibrium.
Step 3: Final Answer:
The correct option is (C).