Van der Waals' equation of state, expressed as (P+A/v²)(v-b) = RT, is an approximation that accounts for molecular interactions but often fails to align with experimental data. The equation treats molecules as hard spheres with intermolecular attractions represented by the term a/v², while b accounts for the volume occupied by the molecules themselves. Users seek methods to improve the equation's accuracy in predicting real gas behavior, as it is primarily a first-order approximation derived from the ideal gas law. Suggestions for reconciliation may include refining the parameters a and b or exploring more complex models that better capture molecular interactions. Addressing these shortcomings is essential for enhancing the predictive power of the Van der Waals equation in practical applications.
