Which of the following statements are correct?

Options

A. It is not possible to compress a gas at temperature below `T_(c)`
B. At a temperature below `T_(c)`, the molecules are close enough for the attractive forces to act and condensation occurs
C. No condensation takes place above `T_(c)`
D. Due to higher kinetic energy of gas molecules above `T_(c)`, it is considered as super critical fluid

Answer

To determine which statements regarding the gaseous state and critical temperature (Tc) are correct, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding Critical Temperature (Tc)**:
- Critical temperature (Tc) is defined as the temperature above which the vapor of a substance cannot be liquefied, regardless of the pressure applied.

2. **Analyzing Statement 1**:
- **Statement**: "It is not possible to compress a gas below Tc."
- **Analysis**: This statement is incorrect. A gas can be compressed below its critical temperature (Tc). The critical temperature refers to the inability to liquefy the gas above this temperature, not below it.

3. **Analyzing Statement 2**:
- **Statement**: "At temperature below Tc, the molecules are close enough for the attractive forces to act as condensation occurs."
- **Analysis**: This statement is correct. Below the critical temperature, the molecules are indeed close enough that intermolecular forces can lead to condensation, allowing the gas to transition into a liquid state.

4. **Analyzing Statement 3**:
- **Statement**: "No condensation takes place above Tc."
- **Analysis**: This statement is also correct. Above the critical temperature, the gas cannot be liquefied, and thus no condensation occurs.

5. **Analyzing Statement 4**:
- **Statement**: "Due to higher kinetic energy of gas molecules above Tc, it is considered a supercritical fluid."
- **Analysis**: This statement is correct. Above the critical temperature, the kinetic energy of the gas molecules is high enough that they do not condense into a liquid, and the substance behaves as a supercritical fluid.

### Conclusion:
Based on the analysis:
- **Correct Statements**:
- Statement 2: True
- Statement 3: True
- Statement 4: True
- **Incorrect Statement**:
- Statement 1: False

Therefore, the correct options are **b, c, and d**.