The ethylene epoxydation is to be carried out using a cesium-doped silver catalyst in a packed-bed reactor.

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The ethylene epoxydation is to be carried out using a cesium-doped silver catalyst in a packed-bed reactor.(1) C2 H2+12 02-C2H40-r1E=k1EXPEXPO0.58(1+K1E PE)2

Along with the desired reaction, the complete combustion of ethylene also occurs(2) C2H4+3 02-2 CO2+2 H20-12E-K2EXPEXPO0.3(1+K2EXPE)2

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 250°C and a pressure of 2 atm. The total molar flow rate is 0.0093 mol/s to a reactor containing 2 kg of catalyst.
Additional information:k1E=0.15molkg s atm1.58 at 523 K with E1-60.7 kJ/molk2E=0.0888molkg s atm1.3 at 523 K with E2=73.2a. 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.

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