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The behavior of a real gas is usually depicted by plotting compressibility factor (Z) versus pressure (P) at a constant temperature. Which of the following facts are true regarding Van der Waal gas equation?

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In a region where Z > 1, molecular interaction is repulsive in nature.

In a region where Z < 1, molecular interactive is attractive in nature.

In a region where $Z \approx 1$ , molecular interaction neither repulsive nor-attractive in nature.

Z is independent of molecular interaction at all, it vary with variation of pressure only.

answer is A, B, C.

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Detailed Solution

At low pressure $v_{r} < v_{i},$ attractive forces dominate.
At high pressure $v_{r} > v_{i}$ repulsive forces dominate.

$z = \frac{V_{r}}{V_{i}} = \frac{P V_{r}}{n R T}$

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