Problem 5. Consider a saturated vapor feed at 1.5 atm consisting of 30 kmol/hr of n-butane (component 3), 30 kmol/hr of n-pentane (component 2), and 40 kmol/hr of n-hexane (component 1). The relative volatilities of n-butane and n-pentane with respect to n-hexane are given by ay = 12.75, a, = 2,77, respectively. A total condenser, which is operated at 1 atm, is used to condense the overhead vapor. The goal is to produce an essentially 100% pure n-butane distillate product stream with a flow rate of 30 kmol/hr. This is done by setting both the n-pentane mole fraction specification in the distillate product and the n-butane mole fraction in the bottoms product to be 104 (a) For this distillation task, what is the light key component and what is the heavy key component? What is the minimum number of equilibrium stages required for this separation? (b) Using the Underwood method, calculate the minimum reflux ratio (Romin) for this task. What is the minimum reboiler vapor duty requirement (Vs.min, in kmol/hr)? () Using Peng-Robinson Equation of State (EOS) model, set up a shortcut distillation column in Aspen HYSYS. In your answer, attach a screenshot of the "Parameters" window under the "Design" tab, another screenshot of the "Composition" window under the "Worksheet" tab, and a third screenshot showing the results in the Performance" tab. (d) Using Peng-Robinson Equation of State (EOS) model, set up a rigorous distillation column in Aspen HYSYS. When setting up the column, use 60 equilibrium stages (feed stage on Stage 30) and assume that there's no pressure drop across the distillation, as well as reboiler and condenser. In your answer, attach a screenshot of the "Monitor" window under the "Design" tab, and another screenshot of the "Conditions" window under the "Worksheet" tab. a