Find the binary pair diffusivity for the system methane (A)-ethane (B) at \(293 \mathrm{~K}\) and \(1 \mathrm{~atm}\) by using the Lennard-Jones method given by Eq. (1.53) by the following methods.

(a) Use the following parameters (from the BSL book): \(\sigma_{\mathrm{A}}=3.780  Å\) and \(\sigma_{\mathrm{B}}=4.388  Å\), \(\epsilon_{\mathrm{A}} / \kappa=154 K\), and \(\epsilon_{\mathrm{B}} / \kappa=232 \mathrm{~K}\).
The collision integral is approximately 1.168 for these conditions as interpolated from the tables in BSL.

(b) Use the pure-component parameters calculated from the critical properties.

(c) Find the diffusivity using the MATHEMATICA tool box cited.

To use this tool you will need to download and install in your computer the Wolfram computabledownload format (CDF). The Wolfram tool box has many other tools that you may find useful for computation of transport phenomena. Compare the results.

DAB 1.8583 x 10-773 = 1 (1.53) MB POBD.AB