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A constant volume batch reactor undergoes the series reaction

The rates of disappearance per unit reactor volume are 

 
Develop the mass balance equations for a constant density batch reactor and find
closed-form solutions for
CA(t), CB(t) and CC(t) for the case where CA = CA0 and CB =
CB0 and CC = CC0 = 0 at t = 0. Prove that the solutions are correct by substituting
back into the origianl set of ODEs.

 

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