Design a process for the separation of \(1,000 \mathrm{kgmol} / \mathrm{hr}\) of a mixture comprising \(50 \mathrm{~mol} \%\) A and \(50 \mathrm{~mol} \% \mathrm{~B}\) to highly pure product streams (at least \(99 \mathrm{~mol} \%\) each). Your design should consist of at most two columns, with each column having only two product streams (distillate and bottoms), operating at either 2 or 5 bar. You may consider the usage of entrainer C. Boiling temperature data for the system A-B-C is provided in Table 9.8 for the two possible operating pressures.

(a) Design a separation process for the production of highly pure \(\mathrm{A}\) and B (each at least \(99 \mathrm{~mol} \%\) ). Sketch the operating lines for your process on a ternary phase diagram and provide a PFD indicating key compositions and temperatures.

(b) If your solution includes the usage of entrainer \(\mathrm{C}\), estimate the required feed rate of \(\mathrm{C}\) in \(\mathrm{kgmol} / \mathrm{hr}\).

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Table 9.8 Boiling Temperature Data for the System A-B-C in Exercise 9.18 Data for P = 2 bar Component Azeo- Azeo-II Azeo-III Azeo-IV A 100% 0% 0% 50% 0% 40% 40% B C 0% 100% 0% 50% 30% 0% 25% 0% 0% 100% 0% 70% 60% 35% Temperature 120C 90C 80C 80C 70C 75C 65C Data for P = 5 bar Component Azeo-I Azeo-II Azeo-III Azeo-IV A 100% 0% B 0% 100% 0% 0% 50% 50% 0% 25% 15% 70% 0% 70% C 0% 0% 100% 0% 30% 75% 15% Temperature 150C 120C 10C 105C 95C 90C 80C