A new catalyst is being developed with the hope of generating ethylene by the oxidative dehydrogenation of ethane, reaction (1). Two side reactions accompany the main reaction; these are the combustion reactions (2) and (3). A goal of the development effort is to react a mixture of 90% ethane and 10% air (you may take air to contain 79% N2 and 21% O2) at 1 atm and 150 degrees C. It is desired to operate at 50% conversion of O2 with a selectivity of 3 C2H4/CO2.

(1) 2 C2H6 + O2 --> 2 C2H4 + 2 H2O

(2) 2 C2H6 + 7 O2 --> 4 CO2 + 6 H2O

(3) C2H4 + 3 O2 --> 2 CO2 + 2 H2O

If the process goals are met, what will be the final mole fraction of ethylene?

Question

A new catalyst is being developed with the hope of generating ethylene by the oxidative dehydrogenation of ethane, reaction (1). Two side reactions accompany the main reaction; these are the combustion reactions (2) and (3). A goal of the development effort is to react a mixture of 90% ethane and 10% air (you may take air to contain 79% N2 and 21% O2) at 1 atm and 150 degrees C. It is desired to operate at 50% conversion of O2 with a selectivity of 3 C2H4/CO2.

(1) 2 C2H6 + O2 --> 2 C2H4 + 2 H2O

(2) 2 C2H6 + 7 O2 --> 4 CO2 + 6 H2O

(3) C2H4 + 3 O2 --> 2 CO2 + 2 H2O

If the process goals are met, what will be the final mole fraction of ethylene?

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