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)