xiii. Among the following the INCORRECT statement is :

Options

A. At low pressure, real gases show ideal behaviour.
B. At very low temperature, real gases show ideal behaviour.
C. At Boyle's temperature, real gases show idela behaviour.
D. At very large volume, real gases show ideal behaviour.

Answer

To solve the question, we need to identify the incorrect statement among the given options regarding the behavior of real gases and ideal gases. Let's analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding Ideal Gas Behavior**:
- An ideal gas is defined as a gas that follows the ideal gas law perfectly, which means there are no intermolecular forces and the volume of the gas particles is negligible.
- Ideal gas behavior is typically observed under conditions of low pressure and high temperature.

2. **Analyzing Each Statement**:
- **Option A**: "At low pressure, the real gas shows ideal behavior."
- This statement is **correct**. At low pressure, the intermolecular forces between gas molecules become negligible, allowing real gases to behave more like ideal gases.

- **Option B**: "At very low temperature, the real gas shows ideal behavior."
- This statement is **incorrect**. Real gases do not behave ideally at low temperatures because the molecules are closer together, and intermolecular forces become significant. Therefore, this statement is the one we are looking for.

- **Option C**: "At boil temperature, the real gas shows ideal behavior."
- This statement is **correct**. The boiling temperature is the temperature at which a real gas can behave like an ideal gas under certain conditions.

- **Option D**: "At a very large volume, the real gas shows ideal behavior."
- This statement is **correct**. At large volumes, the density of the gas decreases, and the intermolecular forces become less significant, allowing the gas to behave more ideally.

3. **Conclusion**:
- The only incorrect statement among the options is **Option B**: "At very low temperature, the real gas shows ideal behavior."

### Final Answer:
The incorrect statement is **Option B**: "At very low temperature, the real gas shows ideal behavior."