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An oil refinery produces a stream containing 20 mol% octane, with the rest a mixture of hydrocarbons chemically similar to n-pentane. The mixture is separated in a batch still operating at 200 F. The liquid, concentrated in octane, will be sold as regular gasoline (which contains roughly 50% octane). a (a) Perform a degree of freedom analysis. If you assume a basis, is the process well-specified, overspecified, or underspecified? (Think carefully!) (5 points) (b) What pressure should the still be operated at? (15 points) (c) What is the flow rate of the liquid stream? (10 points) (d) If you wanted to produce the same amount of premium gasoline (which contains roughly 60% octane), explain how you would determine the temperature and pressure at which the still should operate. (10 points)