The ethylene epoxydation is to be carried out using a cesium-doped silver catalyst in a packed-bed reactor. (1) C2H4+21O2C2H4Or1E=(1+K1EPE)2k1IEPEPO0.58 Along with the desired reaction, the complete combustion of ethylene also occurs (2) C2H4+3O22CO2+2H2Or2E=(1+K2EPE)2k2EPEPO03 [M. Al-Juaied, D. Lafarga, and A. Varma, Chem. Eng. Sci. 56, 395 (2001)]. It is proposed to replace the conventional PBR with a membrane reactor in order to improve the selectivity. As a rule of thumb, a 1% increase in the selectivity to ethylene oxide translates to an increase in profit of about $2 million/yr. The feed consists of 12% (mole) oxygen, 6% ethylene, and the remainder nitrogen at a temperature of 250C and a pressure of 2atm. The total molar flow rate is 0.0093mol/s to a reactor containing 2kg of catalyst. Additional information: k2E=0.0888kgsatm1.3molat523KwithE2=73.2kJ/molK1E=6.50atm1,K2E=4.33atm1 (a) What conversion and selectivity of ethylene epoxide to CO2 are expected in a conventional PBR? (b) What would be the conversion and selectivity if the total molar flow rate were divided and the 12% oxygen stream (no ethylene) were uniformly fed through the sides of the membrane reactor, and 6% ethylene (no oxygen) were fed at the entrance? (c) Repeat (b) for a case when ethylene is fed uniformly through the sides and oxygen is fed at the entrance. Compare with parts (a) and (b). Describe what you find