Consider an ideal ternary mixture composed of components cis2-butene (  ), cis2-hexene (  ), and cis2-pentene (  ). This mixture is subject to an equilibrium-limited chemical reaction  (metathesis or disproportionation of olefins: 2  cis2-pentene ⇌ cis2-butene + cis2-hexene) with reaction rate  , where the equilibrium constant  and  , with  cal/(mol K). This mixture is fed to a reactive distillation column operating at a pressure of 3 atmospheres with 13 plates; the feed stage location is stage 5, the reactive stages go from stages 2 to 7, and the feed composition contains 100% mole  or pure cis2-pentene. The feed flow rate is chosen to be 100 kmol/hr. For simplicity, we assume constant molal overflow (CMO) and neglect heat effects. This Demonstration shows three profiles: (1) the composition versus plate number for components  ,  , and  (in red, blue, and green, respectively) with the reactive zone shown in light blue and (2) a ternary diagram with the composition of  versus the composition of  in % mole, and (3) the temperature profile in the column. In the second profile, the feed composition is shown by a magenta dot and the reactive stages 2 to 7 are displayed in blue. The molar hold-up (in kmol) in the reactive plates is set by the user. The reboil ratio is chosen so that distillate and bottom flow rates are equal (i.e.,  , where  is the reboil ratio and  is the reflux ratio). For high hold-up values (i.e., high Damköhler numbers) one recovers the equilibrium case shown by the green curve in the ternary diagram.
One snapshot shows a case where one obtains the two products  and  as distillate and bottom, respectively. For more information, see M. F. Doherty and M. F. Malone, Conceptual Design of Distillation Systems, New York: McGraw–Hill, 2001. R. M. Dragomir and M. Jobson, "Conceptual Design of Single-Feed Kinetically Controlled Reactive Distillation Columns," Chemical Engineering Science, 60(18), 2005 pp. 5049–5068.
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