JEE Advanced 2025 Chemistry question

Molar volume () of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with as the variable. The ratio (in mol dm⁻³) of the coefficient of to the coefficient of for a gas having van der Waals constants a = 6.0 dm⁶ atm mol⁻² and b = 0.060 dm³ mol⁻¹ at 300 K and 300 atm is . Use: Universal gas constant (R) = 0.082 dm³ atm mol⁻¹ K⁻¹