Do Lab 12 in this chapter's appendix, but for three-stage systems. Operation is at \(293 \mathrm{~K}, 1.0 \mathrm{~atm}, \mathrm{~F}=10 \mathrm{kmol} / \mathrm{h}\) and is \(10 \mathrm{~mol} \%\) carbon tetrachloride and \(90 \mathrm{~mol} \%\) acetic acid. Entering solvent is pure triethylamine.

a. Simulate a three-stage crossflow system with \(30 \mathrm{kmol} / \mathrm{h}\) total pure solvent with \(10.0 \mathrm{kmol} / \mathrm{h}\) fed to each stage. Find total and component flow rates \((\mathrm{kmol} / \mathrm{h})\) in the four outlet streams. Calculate fraction of entering carbon tetrachloride that is extracted.

b. Simulate a three-stage countercurrent system using three decanters. \(10 \mathrm{kmol} / \mathrm{h}\) of pure solvent is used. Find total and component flow rates \((\mathrm{kmol} / \mathrm{h})\) in the two outlet streams. Calculate fraction of entering carbon tetrachloride that is extracted.

c. Repeat three-stage countercurrent system with different flow rates of pure solvent until fraction of entering carbon tetrachloride extracted is same as in part

a. Which process uses less solvent?