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Which of the following is correct for re...

Which of the following is correct for repulsive process in real gas ?

A

`Z gt 1`, repulsive forces are dominating

B

`Z lt 1`, repulsive forces are dominating

C

short range interaction

D

long range interactin

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the correct statement for the repulsive process in real gases, we will analyze the compressibility factor (Z) and its implications. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor (Z) is defined as: \[ Z = \frac{PV_{\text{real}}}{RT} \] - Here, \(P\) is the pressure, \(V_{\text{real}}\) is the volume of the real gas, \(R\) is the universal gas constant, and \(T\) is the temperature. 2. **Effect of Temperature on Kinetic Energy**: - When the temperature of a gas increases, the kinetic energy of the gas molecules also increases. - Increased kinetic energy results in greater movement of the molecules. 3. **Molecular Movement and Repulsion**: - As the kinetic energy increases, the molecules tend to move apart from each other. - This increased separation leads to a repulsive interaction between the molecules. 4. **Volume Considerations**: - In a repulsive process, as the molecules move apart, the actual volume occupied by the gas becomes greater than the volume predicted by the ideal gas law. - Therefore, the actual volume (\(V_{\text{actual}}\)) becomes greater than the volume of the real gas (\(V_{\text{real}}\)). 5. **Implications for the Compressibility Factor (Z)**: - Since \(V_{\text{actual}} > V_{\text{real}}\), it follows that: \[ Z = \frac{PV_{\text{real}}}{RT} > 1 \] - This indicates that for a repulsive process in real gases, the compressibility factor (Z) is greater than 1. 6. **Conclusion**: - Therefore, the correct statement for the repulsive process in real gases is: \[ \text{Option A: } Z > 1 \] ### Final Answer: The correct answer is **Option A: Z > 1**.

To solve the question regarding the correct statement for the repulsive process in real gases, we will analyze the compressibility factor (Z) and its implications. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor (Z) is defined as: \[ Z = \frac{PV_{\text{real}}}{RT} ...
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