Any gas shows maximum deviation from ideal gas behaviour at

Options

A. ` 0^(@)C` and 1 atmospheric pressure
B. `100^(@)C` and 2 atmospheric pressure
C. ` –100^(@)C` and 5 atmospheric pressure
D. `500^(@)C` and 1 atmospheric pressure

Answer

To solve the question regarding the conditions under which a gas shows maximum deviation from ideal gas behavior, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Ideal Gas Behavior**:
- Ideal gases follow the ideal gas law (PV = nRT) perfectly under all conditions. However, real gases deviate from this behavior under certain conditions, specifically at low temperatures and high pressures.

2. **Identify Conditions for Maximum Deviation**:
- Maximum deviation from ideal gas behavior occurs at:
- **Low Temperature**: Gases behave less ideally at lower temperatures due to increased intermolecular forces.
- **High Pressure**: At high pressures, the volume occupied by gas molecules becomes significant compared to the volume of the container, leading to deviations.

3. **Analyze Given Options**:
- The options provided for temperature are:
- A) 0°C
- B) 100°C
- C) -100°C
- D) 500°C
- The options for pressure are:
- A) 1 atm
- B) 2 atm
- C) 5 atm
- D) 1 atm

4. **Select the Lowest Temperature**:
- Among the temperature options, -100°C (Option C) is the lowest, which is favorable for maximum deviation.

5. **Select the Highest Pressure**:
- Among the pressure options, 5 atm (Option C) is the highest, which is also favorable for maximum deviation.

6. **Combine the Selected Conditions**:
- The combination of the lowest temperature (-100°C) and the highest pressure (5 atm) indicates that the gas will show maximum deviation from ideal gas behavior.

7. **Conclusion**:
- Therefore, the gas shows maximum deviation from ideal gas behavior at -100°C and 5 atm pressure, which corresponds to option C.

### Final Answer:
The gas shows maximum deviation from ideal gas behavior at **-100°C and 5 atm pressure (Option C)**.

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