Elements of
Chemical Reaction Engineering
6th Edition



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Essentials of
Chemical Reaction Engineering
Second Edition

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Chapter 5: Isothermal Reactor Design: Conversion

Deriving The Equilibrium Constant (KC) and Equilibrium Conversion(Xe) for a Constant Volume System:

 

You are given the reversible reaction:
which takes place in a constant volume batch reactor. The equilibrium constant, KC, for this reaction is:
where CAe and CBe are:

 
Substituting for CAe and CBe gives us:
Substituting known values (CA0 = 0.2 mol/dm3 and KC = 100 dm3/mol):
Solving for the equilibrium conversion, Xe, yields:
Xe = 0.83


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