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Q-1 [12 marks] A distillation column is used to separate light hydrocarbons (a mixture of C4, C5, C6 from C7 and C8) in product steam as summarised in the table below. The distillation column operates at 1.2 atm pressure and the feed enters at its bubbling point. Compositions (mol/h) of the feed, top product and bottom product are summarised in the following table. Clij Feed Top product Bottom product (mol/h) (mol/h) (mol/h) n-butane (C4) 15 15 0 n-pentane (C5) 22 22 0 n-hexane (C) 25 24 1 n-heptane (C7) 36 6 30 n-octane (C8) 38 0 38 Olij represents the relative volatility of component i over component j. 4.2 3.8 2.0 1.0 0.38 (a) Identify the key and non-key components. [2 marks] (b) Calculate minimum number of stages using the Fenske equation. [2 marks] (c) Calculate Rmin using the Underwood equation. Assume 0 = 1.32. [4 marks) (d) Determine the number of ideal stages using the Kirkbride equation if reflux ratio is 1.3x Rmin. [4 marks]