Question:
For a real gas, variation of \(\frac{pV}{RT}\) with pressure \(p\) is shown. Identify correct curve.
For a real gas, variation of \(\frac{pV}{RT}\) with pressure \(p\) is shown. Identify correct curve.
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Real gas: \(Z<1\) (attraction), \(Z>1\) (repulsion).
Updated On: Apr 23, 2026
- Curve A
- Curve B
- Curve C
- Curve D
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The Correct Option is B
Solution and Explanation
Concept:
\[
Z = \frac{pV}{RT}
\]
is called compressibility factor.
Step 1: Ideal gas
\[ Z = 1 \]
Step 2: Real gas behavior
• At low pressure: intermolecular attraction dominates $\Rightarrow$ \(Z<1\)
• At high pressure: repulsion dominates $\Rightarrow$ \(Z>1\)
Step 3: Graph nature
Curve dips below 1 and then rises above 1. Conclusion: \[ {\text{Curve B}} \]
Step 1: Ideal gas
\[ Z = 1 \]
Step 2: Real gas behavior
• At low pressure: intermolecular attraction dominates $\Rightarrow$ \(Z<1\)
• At high pressure: repulsion dominates $\Rightarrow$ \(Z>1\)
Step 3: Graph nature
Curve dips below 1 and then rises above 1. Conclusion: \[ {\text{Curve B}} \]
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