Question

Identify the correct graph for an ideal gas
(\(y\)-axis = compressibility factor \(Z\); \(x\)-axis = pressure \(p\))

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

For ideal gases, compressibility factor \(Z = 1\) under all conditions. Real gases deviate from this at high or low pressures.

Answer 1

The Correct Option is D

Step 1: Understand compressibility factor \(Z\)
Compressibility factor \(Z = \frac{pV}{nRT}\) indicates deviation from ideal behavior. For an ideal gas: \[ Z = 1 \text{ at all pressures} \] Step 2: Analyze graph behavior
Since an ideal gas follows the ideal gas equation at all conditions, \(Z\) remains constant and equal to 1 regardless of pressure. Therefore, the graph must be a horizontal line at \(Z = 1\).