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Which of the following statements are co...

Which of the following statements are correct ?

A

Z (compressibility factor)for ideal gas is independent of temperature and pressure.

B

Z for ideal gas is greater than one.

C

Z for non-ideal gas is either greater tha one or less than one as well as dependent on temperature and pressure.

D

When `Z gt 1`, then force of attraction dominates over force of replusion.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statements about the compressibility factor (Z) are correct, we will analyze each statement based on the definitions and properties of Z. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor is defined as \( Z = \frac{PV}{RT} \), where: - \( P \) = pressure - \( V \) = volume - \( R \) = ideal gas constant - \( T \) = temperature - For an ideal gas, \( Z \) is equal to 1. 2. **Evaluating Statement A**: - **Statement A**: "The compressibility factor for an ideal gas is independent of the temperature and pressure." - Since \( Z \) for an ideal gas is always 1, it does not change with temperature or pressure. - **Conclusion**: This statement is **correct**. 3. **Evaluating Statement B**: - **Statement B**: "The Z for an ideal gas is greater than one." - For an ideal gas, \( Z \) is equal to 1, not greater than 1. - **Conclusion**: This statement is **incorrect**. 4. **Evaluating Statement C**: - **Statement C**: "The Z for a non-ideal gas is either greater than one or less than one and depends on the temperature and pressure." - Non-ideal gases can have \( Z \) values that are either greater than 1 or less than 1, depending on the intermolecular forces and the conditions of temperature and pressure. - **Conclusion**: This statement is **correct**. 5. **Evaluating Statement D**: - **Statement D**: "When the Z value is greater than 1, the force of attraction dominates over the force of repulsion." - This is incorrect because when \( Z > 1 \), it indicates that repulsive forces are dominant, not attractive forces. - **Conclusion**: This statement is **incorrect**. ### Final Conclusion: - The correct statements are **A** and **C**.

To determine which statements about the compressibility factor (Z) are correct, we will analyze each statement based on the definitions and properties of Z. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor is defined as \( Z = \frac{PV}{RT} \), where: - \( P \) = pressure - \( V \) = volume ...
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