We distill \(1000.0 \mathrm{kmol} / \mathrm{h}\) of a \(40.0 \mathrm{~mol} \%\) isopentane, \(30.0 \mathrm{~mol} \% \mathrm{n}\)-hexane, and \(30.0 \mathrm{~mol} \% \mathrm{n}\)-heptane feed. We desire a \(98.0 \%\) recovery of \(\mathrm{n}\)-hexane in bottoms and a \(99.0 \%\) recovery of isopentane in distillate. The feed is a twophase mixture that is \(40.0 \%\) vapor. \(\mathrm{L} / \mathrm{D}=2.5\).

a. Find \(\mathrm{D}\) and \(\mathrm{B}\). List any required assumptions.

b. Find the compositions of distillate and bottoms.

c. Calculate and \(_{\vee}\) and \(\mathrm{L}\) and \(\mathrm{V}\) assuming CMO.

d. Show schematically the expected composition profiles for isopentane, \(n-\) hexane, and n-heptane. Label the curves. Be neat!