Which of the following choice (s) is (are) correct for a gas?

Options

A. `P_(ideal) gt P_(real) `
B. `V_(ideal) = V_(real)`
C. `P_(ideal) lt P_(real)`
D. `V_(ideal) lt V_(real)`

Answer

To solve the question regarding which statements are correct for a gas, we need to analyze the properties of ideal gases and real gases based on their behavior under various conditions.

### Step-by-Step Solution:

1. **Understanding Ideal Gases**:
- Ideal gases are theoretical gases that perfectly follow the ideal gas law, represented by the equation \( PV = nRT \). In this equation:
- \( P \) = pressure
- \( V \) = volume
- \( n \) = number of moles
- \( R \) = universal gas constant
- \( T \) = temperature in Kelvin
- Ideal gases have no intermolecular forces and occupy no volume.

2. **Understanding Real Gases**:
- Real gases deviate from the ideal gas behavior under high pressure and low temperature. They have intermolecular forces and occupy space.
- The behavior of real gases can be described by the van der Waals equation, which accounts for the volume occupied by gas molecules and the attractive forces between them.

3. **Analyzing the Given Statements**:
- **Statement 1**: Pressure of ideal gas greater than real gas.
- This is incorrect because, under the same conditions, real gases generally exhibit higher pressure due to intermolecular attractions being less significant than in ideal gases.
- **Statement 2**: Both volumes equal.
- This is not true in general; real gases have a volume that is typically greater than that of ideal gases due to the volume occupied by gas molecules.
- **Statement 3**: Pressure of real gas greater than ideal gas.
- This is correct. Under certain conditions, especially at high pressure, the pressure of a real gas can be greater than that of an ideal gas.
- **Statement 4**: Volume of real gas greater than that of ideal gas.
- This is also correct. Real gases occupy more volume than ideal gases due to the finite size of gas molecules.

4. **Conclusion**:
- Based on the analysis, the correct statements regarding gases are:
- Statement 3: Pressure of real gas greater than ideal gas.
- Statement 4: Volume of real gas greater than that of ideal gas.

### Final Answer:
The correct choices for a gas are:
- Statement 3
- Statement 4