One hundred kilogram-moles per hour of a feed containing 30 mole% n-hexane and 70% n- octane is to be distilled in a column consisting of a partial reboiler, a theoretical plate, and a partial condenser, all operating at 1 atm (101.3 kpa). the feed, a bubble-point liquid, is fed to the reboiler, from which a liquid bottoms product is continuously withdrawn. bubble-point reflux is returned to the plate. the vapor distillate contains 80 mole% hexane, and the reflux ratio (lrd) is 2 assume the partial reboiler, plate, and partial condenser each function as an equilibrium stage. (a) using the mccabe-thiele method, calculate the bottoms composition and moles of distillate produced per hour.

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answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole