Chapter 2, Problem 2.4P

(a)

Interpretation Introduction

Interpretation:

PFR and CSTR volumes necessary to achieve $40\%$ conversion have to be calculated.

Concept introduction:

A PFR is a type of continuous flow reactor which is operated under steady state. It is the system where flow field modeled by that of plug–flow profile which will have no radial variation in reaction rate.

A CSTR is a vessel to which reactants are added and products within the vessel are vigorously stirred using internal agitation or by internally recycling the contents.

In terms of conversion, the differential and integral forms of the reactor design equations become,

  $\begin{array}{cccc}& \text{Differential}\text{Form}& \text{Algebric}\text{Form}& \text{Integral}\text{form}\\ \text{CSTR}& & \text{V=}\frac{{\text{F}}_{\text{A0}}\left({\text{X}}_{\text{out}}{\text{-X}}_{\text{in}}\right)}{{\left({\text{-r}}_{\text{A}}\right)}_{\text{out}}}& \\ \text{PFR}& {\text{F}}_{\text{A0}}\frac{\text{dX}}{\left(\text{dV}\right)}\text{=}{\text{-r}}_{\text{A}}& & {\text{V=F}}_{\text{A0}}{\displaystyle \underset{{\text{X}}_{\text{in}}}{\overset{{\text{X}}_{\text{out}}}{\int }}\frac{\text{dX}}{\left({\text{-r}}_{\text{A}}\right)}}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The range of conversions would CSTR and PFR reactor volumes be identical has to be calculated.

(c)

Interpretation Introduction

Interpretation:

The maximum conversion achieved in $\text{105}{\text{dm}}^{\text{3}}$ has to be calculated.

(d)

Interpretation Introduction

Interpretation:

Conversion achieved if a $72{\text{dm}}^{\text{3}}$ PFR is followed in series by $24{\text{dm}}^{\text{3}}$ CSTR has to be calculated.

(e)

Interpretation Introduction

Interpretation:

Conversion achieved if a $24{\text{dm}}^{\text{3}}$ CSTR is followed in series by $72{\text{dm}}^{\text{3}}$ PFR has to be calculated.

(f)

Interpretation Introduction

Interpretation:

The conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100 dm³has to be plotted