Gaseous State

A certain quantity of real gas occupies a volume of \(0.15~ \mathrm{dm}^{3}\) at \(100 \mathrm{~atm}\) and \(500 \mathrm{~K}\) when its compressibility factor is 1.07 . Its volume at 300 atm and \(300 \mathrm{~K}\) (When its compressibility factor is 1.4 ) is ___________ \(\times 10^{-4} ~\mathrm{dm}^{3}\) (Nearest integer)