Your current project is purifying \(99.1 \mathrm{wt} \%\) pure 2-naphthol that contains a naphthalene impurity. At lunch, your boss overheard you talking about an equilibrium solution for zone melting to do the purification. He may not know much about zone melting, but he knows that there are equilibrium solutions and more exact nonequilibrium solutions. So he asks you to bring him a nonequilibrium solution for your problem for your 4:00 meeting tomorrow. He also heard about passes, so he asks, "See what you can do with eight passes." From past experience, you know that the best strategy is to come up with a real solution, but you can make up the problem. So, make up and solve a zone melting problem for nonequilibrium solution with eight passes for purifying \(99.1 \mathrm{wt} \%\) pure 2 naphthol that contains a naphthalene impurity. Use L \(/ l=10\). Data: Tables 18-4 and 18-9, the text immediately below Eq.(18-58), and \(D \sim 2.4 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}\).