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200 m of a gaseous mix comprising 80% acetylene - 20% inerts stream (molar basis) measured at 550C and 20 atm are to be

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200 m of a gaseous mix comprising 80% acetylene - 20% inerts stream (molar basis) measured at 550C and 20 atm are to be fed to a series of tubular reactors. Each tube is 3.5 m long and has an ID of 5 cm. At this temperature, acetylene polymerizes according to the following reaction: k -> 4C2H2 (C2H2)4 The reaction is 2nd order with respect to acetylene and k = 0.6 L mol-1 s-1. Assume that acetylene behaves like an ideal gas and that the reaction is isothermal and isobaric. How many tubes are required for achieving a final conversion of 60%.

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