The compression factor (compressibility factor) for `1 mol` of a van der Waals gas at `0^(@)C` and `100 atm` pressure is found to be `0.5`. Assuming that the volume of a gas molecule is neligible, calculate the van der Waals constant `a`.

Explanation

To calculate the van der Waals constant \( a \) for the given conditions, we will follow these steps:

### Step 1: Understand the Compressibility Factor
The compressibility factor \( Z \) is defined as:
\[ Z = \frac{PV}{RT} \]
where:
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