[ Solve using polymath program ]

(CH3)3COOC(CH3)3C2H6+2CH3COCH3 is carried out isothermally in a flow reactor with no pressure drop. The specific reaction rate at 50C is 104min1 (from pericosity data) and the activation energy is 85kJ/mol. Pure di-tert-butyl peroxide enters the reactor at 10atm and 127C and a molar flow rate of 2.5mol/min. Calculate the reactor volume and space time to achieve 90% conversion in: (a) a CSTR (Ans.: 4700dm3 ) (b) a FFR (Ans,: 967dm3 ) (c) If this reaction is to be carried out at 10atm and 127C in a batch mode with 90% conversion, what reactor size and cost would be required to process (2.5mol/min60min/h24h/ day )3600mol of di-tert-butyl peroxide per day? (Hint: Recall Table 4-1.) (d) Assume that the reaction is reversible with KC=0.025mol2/dm6 and calculate the equilibrium conversion and then redo (a) through (c) to achieve a conversion that is 90% of the equilibrium conversion. (e) What CSTR temperature would you recommend for a 500dm3CSTR to obtain the maximum eonversion if HRx=100,000calmol ? (Hint: Remember that the equilibrium conversion will be different for a flow reactor and a constant-volume batch reactor for a gas-phase reaction