Page 169 - Elements of Chemical Reaction Engineering 3rd Edition

Sec:. 4.2 Scale-up of Liquid-Phase Batch Reactor Data to the Design of a CSTR 141

Substituting these values into Equation (4-12) yields

or

Conversion for
tanks in parallel (4- 13)
This result shows that the conversion achieved in any one of the reactors
in parallel is identical to what would be achieved if the reactant were fed in
one stream to one large reactor of volume V!

A Second-Order Reaction in a CSTR. For a second-order liquid-phase
reaction being carried out in a CSTR, the combination of the rate law and the
design equation yields

(4-14)

For constant density u = tio, FAOX = uo(CAo - C,) , then

Using our definition of conversion, we have

(4- 15)

We solve Equation (4-15) for the conversion X

Conversion for
a second-order (4- 16)
liquid-phase
reaction
in a CSTR - - (1 3- 2Da) - ../-
2Da

The minus sign must be chosen in the quadratic equation because X can-
not be greater than 1. Conversion is plotted as a function of the Damkcjhler
parameter, zkC,,,, in Figure 4-6. Observe from this figure that at high conver-