Modern vacuum pumps can evacuate a vessel down to a pressure of \(4.0 \times 10^{-15}\,\text{atm}\). At room temperature (300 K), taking
\(R = 8.3\,\text{J K}^{-1}\text{mol}^{-1}\) and \(N_{\text{Avogadro}} = 6 \times 10^{23}\,\text{mol}^{-1}\), the mean distance between molecules of gas in an evacuated vessel will be of the order of: