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It sounds like you are asking about calculating theoretical stages for distillation of a binary mixture using the McCabe-Thiele method, which includes calculation of the q line from the composition of the feed. The parameter q is the mole fraction of liquid in the feed and the slope of the q-line is q / (q - 1). The q line passes through the point defining the composition of the feed on the x=y line drawn on the diagram. For more details on the McCabe-Thiele method, see the attached link.

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What is operating line in distillation?

In distillation, the operating line represents the relationship between the liquid and vapor compositions in a distillation column, typically depicted on a McCabe-Thiele diagram. It reflects the mass balance and equilibrium stages in the column, illustrating how the concentration of the more volatile component changes as it ascends through the column. The slope of the operating line is determined by the reflux ratio and helps in designing and analyzing the efficiency of the distillation process. The intersection of the operating line with the equilibrium curve indicates the stages required for the desired separation.


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