4. Ethylene oxide (C2H4O) can be produced by the partial oxidation of ethylene (C2H4) over acatalyst. An undesired side reaction is the complete oxidation of ethylene to CO2 and H2O.(R1)(R2)2C2H4 + O2 → 2C2H4OC2H4 + 3022CO2 + 2H2OThe reactor is fed at 100 mol/hr of ethylene, and the molar feed rate of C2H4:O2 is 2:1. Air (79%N2 and 21% O2) is fed as the source of oxygen. 45% of the C2H4 is consumed in the reactor, andall of the O2 is consumed.What is the feed composition of all components in mol/hr?What are 31and32,the extents of reaction for the system, and the reactoreffluent composition of all components in mol/hr.

Write the reaction as follows: 2C2H4 + O2 → 2C2H4O ......1C2H4 + 3O2 → 2CO2 + 2H2O ......2Given, The moles of ethylene is 100 mol Feed rate of C2H4Feed rate of O2 = 21moles of O2 = moles of C2H42= 100 mol2= 50 mol Let ξ1 and ξ2 be the extent of reaction(1) and reaction(2).Draw the ICE table for the reaction(1) as follows: 2C2H4 + O2 → 2C2H4OImol: 100 50 0Fmol 100-2ξ1 50-ξ1 2ξ1 Draw the ICE table for the reaction(2) as follows: C2H4 + 3O2 → 2CO2 + 2H2OImol: 100-2ξ1 50-ξ1 0 0Fmol 100-2ξ1-ξ2 50-ξ1-3ξ2 2ξ2 2ξ2Given, The oxygen will consume completely. 50-ξ1-3ξ2 = 0ξ1+3ξ2 = 50 ......3 45% of C2H4 is consumed. 100-2ξ1-ξ2 = 1-0.45×100100-2ξ1-ξ2 = 552ξ1+ξ2 = 45 ......4Solve equation(3) and equation(4). 23-4⇒2ξ1+3ξ2 -2ξ1+ξ2 = 250-452ξ1+6ξ2 -2ξ1-ξ2 = 555ξ2= 55ξ2 = 11 From equation(3), ξ1+3ξ2 = 50ξ1+311 = 50ξ1 = 17 Therefore, the extent of reactions are ξ1 = 17 and ξ1 = 11.(a) For reaction (1), The feed flow rate of the components are 100 mol/hr C2H4 and 50 mol/hr O2. Calculate the feed flow rate of the components in reaction(2). moles of C2H4 = 100-2ξ1= 100-217 mol= 66 mol moles of O2 = 50-2ξ1= 50-217 mol= 16 mol The feed flow rate of the components for reaction(2) are 66 mol/hr C2H4 and 16 mol/hr O2..(b) Calculate the flow rate of the effluent components as follows: moles of C2H4O = 2ξ1= 217 mol= 34 mol moles of CO2 = 2ξ2= 211 mol= 22 mol moles of H2O = 2ξ2= 211 mol= 22 mol Therefore, the flow rate of the effluent components are 34 mol/hr C2H4O, 22 mol/hr CO2 and 22 mol/hr H2O..