Reference no: EM13147050

Problem 1 A liquid biofuel mixture containing equal mass fractions of 2-methylfuran (2MF) and methyltetrahydrofuran (MTHF) is fed to a membrane separation unit at 3,000 kg/h. The permeate stream contains 96 wt. % of 2MF, while the retentate stream is produced at 2,019 kg/h. (a) draw and fully label a flowchart, state the basis and perform the degree-of-freedom analysis (b) calculate all unknown compositions (as mass and mole fractions) and molar flowrates Problem 2 A mixture of propane and carbon dioxide (CO2/propane=4:1 by mass) enters a membrane separation unit 1 (MSU1) at 800 kg/min, where it is separated into two streams. Permeate stream contains pure propane delivered at 100 kg/min, while the second (retentate) stream exiting MSU1 contains a propane/CO2 mixture, which is combined with oxygen flowing at 200 kg/min. This combined stream enters a membrane separation unit 2 (MSU2), where it is separated into two streams: a three-component retentate stream flowing at 475 kg/min and a permeate stream containing 1.2 wt. % propane, 55.8 wt. % carbon dioxide and 43.0% oxygen. (a) state the basis, draw and fully label a flowchart (b) perform the degree-of-freedom analysis (c) solve for all unknown process variables Problem 3 Methane is burned to form carbon dioxide and water. (a) calculate the ratio of moles methane reacted to moles of carbon dioxide formed (b) if methane is fed to a continuously operated combustion reactor at 200 kmol/h, what oxygen feed rate would correspond to 25% excess oxygen? (c) If 40 kg of methane are burned in the presence of 120 kg of oxygen, determine the limiting reactant, % excess reactant, the extent of reaction and mass of carbon dioxide produced if the reaction is allowed to proceed to completion Problem 4 Propane is dehydrogenated to propylene (C3H8 --> C3H6 + H2) at a single pass conversion of 30% producing 1,800 kg/h. (a) calculate the feed rate of propane assuming there is no recycle (b) if unreacted propane is recycled back to the reactor, but the single pass conversion is 40%, perform the degrees-of-freedom analysis and calculate the rates of (1) fresh propane feed, (2) propane entering and (3) exiting the reactor