Plate EfficienciesIn the design of the distillation column, the plate efficiency plays an important role. The plate efficiency has been defined as Murphree's plate efficiency with the vapor composition in equilibrium with the liquid leaving the plate. This efficiency is reasonable only when the liquid is well mixed (as described in the later sections) and there is no composition gradient of the liquid on the plate. In practice, however, the liquid composition will vary as the liquid flows on the plate. In the case of larger columns and systems of large relative volatilities, Murphree's plate efficiencies have been found to be more than 100%.In our previous paper ( I ) , t it was pointed out that at a fixed point efficiency E o~t Murphree's plate efficiency ( E M V ) 1, based on the vapor in equilibrium with the liquid leaving the plate, decreases with the increase of reflux ratio, and plate efficiency ( E M V )~, based on the vapor composition in equilibrium with the liquid entering the plate, increases with the increase of reflux ratio. A modified plate efficiency was therefore defined as where (9. " ) i S the vapor composition in equilibrium with the liquid at the center of the plate.If the liquid flows unidirectionally on the plate as a plug flow, the relation between the plate efficiencies and the point efficiency is shown in Figure 1. For a fixed point efficiency, Murphree's plate efficiency (EMv) 1, which is shown with the broken line, increases with A where A = mV/L, and EM")^ decreases with A as shown with the dotted line. The modified plate efficiency ( EMV) 112, however, does not vary so much with the change of A as shown with the solid line.Taking into account the mixing of the liquid on a plate, Figure 2 shows the relation between the plate efficiency and the point efficiency. For a fixed Peclet's number N p e , the variation of ( E M v )~/~/ E o G for A is much smaller than that of (EMv)l/Eoc. In the case of AEOG < 1 (this condition holds for almost all the practical columns), the value of ( E M~)~/~/ E o G is less than 1.04 for any value of N p e ,