QUESTION 1 [40 MARKS] The elementary gas phase reaction 2CH3OH CH3OCH3+H2O is being studied in an ideal flow reactor at constant pressure. The total feed to the reactor is 600 mol hrl with a mixture of CH3OH, and N2 in the ratio of 1:4. The outlet volumetric flow rate of CH3OCH3 leaving the reactor is 1827 L hrl. The total pressure and temperature in the reactor are 10 atm and 150 C. The specific reaction rate at 150 C is 10 L mol- hr-1 (a) Derive mole balance equation for PFR reactor in terms of volumetric flow rate, concentration, conversion, epsilon (8) and specific reaction rate constant from FAO av dx = [7 Marks] [C01, PO1, C2] (b) Calculate the inlet volumetric flow rate and inlet concentrations of CH3OH, and N2. [6 Marks] (CO2, PO2, C3] (c) Set up a complete stoichiometric table for the reaction and evaluate the sigma, and epsilon. [6 Marks] [C01, PO1, C2] (d) Calculate conversion and outlet concentration of CH3OH, CH3OCH3 and H20. [7 Marks] [CO2, PO2, C3] (e) Suggest the appropriate reactor between CSTR or PFR to achieve the conversion obtained from part (d). [9 Marks] [CO3, PO3, C3] 2 CONFIDENTIAL 2122I/DKK2433 (f) Calculate the time of reaction to achieve the conversion obtained from part (d) if batch reactor is used. [5 Marks] [CO3, PO3, C3]