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A mixture consisting of methyl-propane, n-butane, n-pentane, 2-methyl-pentane, and nhexane is to be separated via continuous distillation. The feed entering the process is partially vaponized (50%) The distillation column will be operated at slightly above atmosphenc pressure ( P=1.5 bar) and will utilize a total condenser For simplicity, assume that the operating pressure is constant throughout the process. The pure-component properties are listed in table I - The K-values for the feed at different concentrations of n-pentane are provided in table 2 . Table 2. Annnoximate K :-values of the feed at different concentrations of n-pentane 2K-values estimated when the feed contains a relatively low concentration ( 1kmo/hr) of n-pentane Kl-values estimated when the feed contains an intermediate amount (10kmol/hr) of n-pentane. cK1-values estimated when the feed contains a relatively high concentration ( 50kmol/hr) of n pentane. 1.1. Given the feed information in table 1, suppose that methyl-propane and n-butane are to be separated from 2-methyl-pentane and n-hexane using a single continuous distillation column. Approximate the minimum number of theoretical trays for this column, assuming that there is an equimolar split of n-pentane, and given a recovery of 99.9% for both n-butane and 2-methyl-pentane. [10] 1.2. Calculate the distribution of the two non-key components directly adjacent to the key components. [5] 1.3. Provide a solution strategy to estimate the minimum reflux ratio for this distillation column (only the method is required, not the actual value for the minimum reflux). [4] 4. Explain how the Gilliland Correlation was developed, furthermore comment on its applicability and accuracy in today's age with the advent of the modern process simulator