The data in Table P5.28 have been obtained on the decomposition of gaseous reactant A in a constant volume batch reactor at 100°C. 

The stoichiometry of the reaction is 2A → R + S. What size plug flow reactor (in liters) operating at 100°C and 1 atm can treat 100 mol A/hr in a feed consisting of 20% inerts to obtain 95% conversion of A?

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t, sec 0 20 40 60 80 100 Table P5.28 PA, atm 1.00 0.80 0.68 0.56 0.45 0.37 t, sec 140 200 260 330 420 PA, atm 0.25 0.14 0.08 0.04 0.02