Modern vacuum pumps can evacuate a vessel down to pressure of $\;4.0 \times 10^{-15}\;atm\;$.at room temperature (300 K). Taking $\;R=8.3 JK^{-1}mole^{-1},1\;atm=10^{5}\;Pa\;$and $\;N_{Avogadro}=6 \times 10^{23}\;mole^{-1}\;$ the mean distance between molecules of gas in an evacuated vessel will be the order of :