The RTR reactor (, consists of a rotating tube, with internal baffles and agitation. Each compartment between two baffles has a 1/2-inch inlet. The flow in the reactor traverses from the inlet (left) through each of the compartments (the space between two baffles). The agitation ensures good mixing in between two baffles, so the 140L reactor may be treated as 10 equal-sized CSTR in series.

A pharma company wants to use this equipment for a homogeneously catalysed coupling reaction. The raw material solution is fed to the first (most left) compartment at 11 L/min containing [A]=0.85 mole/L and [B]=4 mole/. The catalysed reaction follows the reaction equation below:


Here,  represents the free sites on the catalyst, and  are catalytic intermediates and the concentrations of the catalytic species are in gr/L. The concentrations [A] and [B] are in mol/L. To allow temperature equilibration of the reactant feed, the 12.5 g/L catalyst feed solution is charged to the second compartment with a flowrate of 200 mL/min.

  1. Develop the rate equation for A and B in and work out the parameters for the observed reaction rate  at initial conditions:

Note: the molecular weight of Cat, CatA and CatAB are considered to be the same
[10 marks]

Calculate the conversion of A, assuming

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