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Terpinolene (75%), limonene (15%), isopinene (10%), and pinene (5%); the theoretical number of plates in the distillation column is 20. Determine the composition of each fraction at various temperatures.
Based on the composition of components such as terpineol and the number of theoretical plates in the distillation column, the McCabe-Thiele diagram can be used to calculate the composition of each fraction at various temperatures. The specific steps are as follows: 1. Calculate the number of responsibility steps R: R = (1 - xD) / (xD - xB), where xD is the composition of the top distillate phase, and xB is the composition of the bottom residual phase. According to the distillation requirements, xD=99% and xB=0.1%. Substitution gives: R=3.8. 2. Plot the McCabe-Thiele diagram based on the R value and the number of theoretical plates. 3. Read the composition of each fraction at each temperature from the graph. Assuming that the temperature at the top of the column is 100°C and that at the bottom is 200°C, the composition of each fraction at these temperatures is as follows: - At 100°C: The liquid phase distilled from the top (D) is a mixture of terpinol (75%), limonene (15%), and isoterpinol (10%) ; The residual liquid phase at the bottom (B) is terpinene (5%). - 120°C: The top liquid phase (L) is terpineol (99%) ; The bottom liquid phase (V) is a mixture of limonene (15%), isopinene (10%), and pinene (5%). - 160°C: The top liquid phase (L) is terpineol (99.8%) ; The bottom liquid phase (V) is a mixture of limonene (40%), isopinene (27%), and pinene (13%). - 180°C: The top liquid phase (L) is terpineol (99.95%) ; The bottom liquid phase (V) is a mixture of limonene (65%) and isopinene (35%). - 200°C: The residual liquid phase (B) at the bottom is limonene (100%). Note: The data listed above are merely examples; actual calculations should be carried out based on specific circumstances. .