For a non-zero value of force of attraction between the gas molecules and zero volume occupied by the gas molecules, give a modified expression of van der Waals' equation.

Explanation

To derive the modified expression of the van der Waals' equation under the conditions of a non-zero force of attraction between gas molecules and zero volume occupied by the gas molecules, we start with the original van der Waals' equation:

### Step 1: Write the Original van der Waals' Equation
The original van der Waals' equation is given by:

\[ \left( P + \frac{a n^2}{V^2} \right) (V - nb) = nRT \]
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