Molar volume ( \({V}_{\mathrm{m}}\) ) of a van der Waals gas can be calculated by expressing the van der Waals equation …

Molar volume ( \({V}_{\mathrm{m}}\) ) of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with \({V}_{\mathrm{m}}\) as the variable. The ratio (in \({\mathrm{moldm}}^{-3}\) ) of the coefficient of \({V}_{\mathrm{m}}^{2}\) to the coefficient of \({V}_{\mathrm{m}}\) for a gas having van der Waals constants \(a=6.0{\mathrm{dm}}^{6}\mathrm{atm}{\mathrm{mol}}^{-2}\) and \(b=0.060\) \(\mathrm{dm}^3 \mathrm{~mol}^{-1}\) at 300 K and 300 atm is (nearest integer) ______(consider magnitude)

Use: Universal gas constant \((R)=0.082{\mathrm{dm}}^{3}\mathrm{atm}{\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}\)