The pyrolysis of methyl acetoxypropionate (A) produces acetic acid (B) and methyl acrylate (C): A+B+C (Note that MWA = 146 lbm/lb-mol) = Below 550 C, the reaction is first order in CA with a rate constant given by: k = (7.8 x 10)exp(-19220/T) with units of sec-1 and with Tin Kelvin We want to design a plug flow tubular reactor having an inner cross-sectional area of 0.0388 ft to operate isothermally at 500C and convert 90% of the raw feed of A. The feed enters at 5 atm and a flow rate of 500 lbm/hour of A. Assuming that ideal gas behavior applies and that we can neglect the pressure drop across the reactor, what will be the length of the reactor? Hints: Notice the change in number of moles with the reaction. Note that at 0C and 1 atm, the standard molar volume is 359 ft/lb-mole. One of the integrals can be solved using the U-substitution method as provided in class