At the equilibrium position in the process of adsorption …………

Options

A. `DeltaH gt 0`
B. `DeltaH =T DeltaS`
C. `DeltaH gt T DeltaS`
D. `Delta gt T DeltaS`

Explanation

To solve the question regarding the equilibrium position in the process of adsorption, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept of Equilibrium in Adsorption**:
- At equilibrium, the rate of adsorption equals the rate of desorption. This means that the system has reached a state where the concentrations of adsorbate and adsorbent remain constant.

2. **Using Gibbs Free Energy**:
- The Gibbs free energy change (ΔG) is a crucial factor in determining the spontaneity of a process. At equilibrium, ΔG is equal to zero.
- The relationship for Gibbs free energy is given by the equation:
\[ \Delta G = \Delta H - T \Delta S \]
where ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

3. **Setting Up the Equation at Equilibrium**:
- Since we know that at equilibrium ΔG = 0, we can substitute this into the Gibbs free energy equation:
\[ 0 = \Delta H - T \Delta S \]

4. **Rearranging the Equation**:
- Rearranging the equation gives us:
\[ \Delta H = T \Delta S \]

5. **Interpreting the Result**:
- This result indicates that at equilibrium, the change in enthalpy (ΔH) is equal to the product of temperature (T) and the change in entropy (ΔS).
- Therefore, we can conclude that at the equilibrium position in the process of adsorption, the relationship between ΔH and ΔS holds true.

6. **Identifying the Correct Option**:
- From the options provided in the question, we find that option B, which states that ΔH is equal to TΔS, aligns with our derived equation. Thus, option B is the correct answer.

### Final Answer:
At the equilibrium position in the process of adsorption, ΔH = TΔS.