Chapter 2, Problem 2.6P

(a)

Interpretation Introduction

Interpretation:

Web module of chemical reaction engineering of Hippopotamus Stomach has to be summarized.

Concept introduction:

Plug–flow reactor: It is type of continuous flow reactor which is operator 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.

The ideal plug flow reactor depends only on total volume but not on its shape.

The mole balance for plug flow reactor in integral form is represented as follows,

    $V=F_{A0}{\displaystyle \underset{X_{in}}{\overset{X_{out}}{\int }}\frac{dX}{-r_A}}$

Continuous–stirred tank reactors (CSTR): It is type of continuous flow reactor which is commonly used in industrial processes. It is also known as back mix reactor which used for reactions in liquid phase.

The design equations for CSTR in algebraic form is $V=\frac{F_{A0}X}{-r_A}$

(b)

Interpretation Introduction

Interpretation:

Using Hippo Web Module the problem has to be worked.

Concept introduction:

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

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

(c)

Interpretation Introduction

Interpretation:

Whether hippo survives has to be predicted.

Concept introduction:

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

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

(d)

Interpretation Introduction

Interpretation:

The conversion with the new digestive arrangement has to be determined and also whether the hippo will survive has to be predicted.

Concept introduction:

Plug–flow reactor: It is type of continuous flow reactor which is operator 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.

The ideal plug flow reactor depends only on total volume but not on its shape.

The mole balance for plug flow reactor in integral form is represented as follows,

    $V=F_{A0}{\displaystyle \underset{X_{in}}{\overset{X_{out}}{\int }}\frac{dX}{-r_A}}$

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

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