Define the compressibility factor $(Z)$ in terms of the molar volume of a gas.

  • A
    $Z = \frac{V_{m, real}}{V_{m, ideal}}$
  • B
    $Z = \frac{V_{m, ideal}}{V_{m, real}}$
  • C
    $Z = V_{m, real} \times V_{m, ideal}$
  • D
    $Z = V_{m, real} + V_{m, ideal}$

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At low pressure,Vander Waal's equation is reduced to $\left[ P + \frac{a}{V^2} \right]V = RT$. The compressibility factor $(Z)$ can be given as

The following data is obtained for one mole of a gas. The gas deviates from ideal behavior in the pressure (in bar) range:
$P \text{ (bar)}$$\frac{PV}{RT}$
$1$$1$
$2$$1$
$3$$1$
$3.1$$1.2$
$3.5$$1.4$
$4.0$$1.5$

At high pressure,the form of Van der Waals equation becomes

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