An endothermic reaction is found to have +ve entropy change. The reaction will be

Options

A. Possible at high temperature
B. Possible only at low temperature
C. Not possible at any temperature
D. Possible at any temperature

Answer

To determine the conditions under which an endothermic reaction with a positive entropy change can occur, we will analyze the Gibbs free energy equation and the implications of the signs of enthalpy and entropy.

### Step-by-Step Solution:

1. **Identify the nature of the reaction**:
- The reaction is endothermic, which means it absorbs heat. Therefore, the change in enthalpy (ΔH) is positive (ΔH > 0).

2. **Identify the change in entropy**:
- The reaction has a positive entropy change (ΔS > 0), indicating that the disorder of the system increases during the reaction.

3. **Apply the Gibbs free energy equation**:
- The Gibbs free energy change (ΔG) is given by the equation:
\[ \Delta G = \Delta H - T \Delta S \]
- For a reaction to be spontaneous, ΔG must be negative (ΔG < 0).

4. **Set up the inequality for spontaneity**:
- From the Gibbs free energy equation, we can rearrange it to find the conditions for spontaneity:
\[ \Delta G < 0 \implies \Delta H - T \Delta S < 0 \]
- This can be rearranged to:
\[ T \Delta S > \Delta H \]

5. **Analyze the implications of the signs**:
- Since ΔH is positive and ΔS is also positive, for the inequality \( T \Delta S > \Delta H \) to hold true, the temperature (T) must be sufficiently high.
- As T increases, the term \( T \Delta S \) increases, which can eventually outweigh the positive ΔH, making ΔG negative.

6. **Conclusion**:
- Therefore, the endothermic reaction with a positive entropy change will be possible at high temperatures.

### Final Answer:
The reaction will be **possible at high temperature**.