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calculate the reactions conversion percent (by hand and solver in excel) to be able to find...

calculate the reactions conversion percent (by hand and solver in excel) to be able to find good result in aspen in producing Ethylene oxide. The given reactions are:

C2H4+ 0.5O2 --> C2H4O

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

C2H4O + 2.5O2 --> 2CO2+2H2O

Along with stream data (COMPONENT FLOWRATES (Kmol/h) related to first and second reactors as followed:

First reactor input

Ethylene    --> 1047.91                          

Ethylene oxide --> 6.47

Carbon dioxide--> 31.71

Oxygen --> 6331.12

Nitrogen --> 28,191.39

Water --> 30.98

First reactor output:

Ethylene    --> 838.67

Ethylene oxide --> 206.79

Carbon dioxide --> 49.56

Oxygen --> 6204.19

Nitrogen --> 28,191.39

Water --> 48.82

Second reactor output:

Ethylene --> 670.64                          

Ethylene oxide --> 175.83

Carbon dioxide --> 63.44

Oxygen --> 6101.72

Nitrogen --> 28,188.72

Water --> 77.13

Solutions

Expert Solution

% Conversion for any reactant is defined as = kmole reacted / kmole of feed. The below table indicates the kmol distribution of reactants and products from reactor 1 & 2.

Compo

nent

Ist reactor Inlet ; N1 (kmol/hr)

Mole reacted/generated

= Reactor inlet - Reactor outlet

= N1-N2

Ist reactor Outlet OR 2nd Reactor Inlet ; N2 (kmol/hr)

Mole reacted/generated

= Reactor inlet - Reactor outlet

= N2-N3

2nd reactor Outlet; N3 (kmol/hr)

C2H4

1047.91

209.24

838.67

168.03

670.64

C2H4O

6.47

-200.32

206.79

30.96

175.83

CO2

31.71

-17.85

49.56

-13.88

63.44

O2

6331.12

126.93

6204.19

102.47

6101.72

N2

28191.39

0

28191.39

2.67

28188.72

H2O

30.98

-17.84

48.82

-28.31

77.13

Note : + ve sign indicates reactant being consumed in the reaction; - ve sign indicates product being formed in the reactor

First reactor

% Conversion with respect to C2H4 =

209.24 * 100 /1047.91 = 19.9 %

% Convsersion with respect to C2H4O is not feasible in first reactor as C2H4O product, is formed in the reaction.

Second reactor
% Conversion with respect to C2H4 =
168.03*100/ 838.67 = 20%
% Convsersion with respect to C2H4O =
30.96*100/206.79 = 15%

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