Chapter 1, Problem 1.6P

(a)

Interpretation Introduction

Interpretation:

The volume of CSTR and PFR are to be determined if $-r_A=k$ with $k=0.05\frac{\text{mol}}{\text{h}\cdot {\text{dm}}^3}$ .

Concept Introduction:

For a Continuous Stirred Tank Reactor (CSTR), the design equation to be used is:

  $V=\frac{F_{A0}-F_A}{-r_A}$ .........(1)

Here, $V$ is the volume of the reactor, $F_{A0}$ is the entering molar flowrate of species A , $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A .

  $F_A$ can be further defined as

  $F_A=C_{A}v$ .........(2)

Here, $C_A$ is the concentration of species A , and $v$ is the volumetric flowrate.

For a Plug Flow Reactor (PFR), the design equation to be used is

  $\frac{d{F}_A}{dV}=-r_A$ .........(3)

Here, $V$ is the volume of the reactor, $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A . $F_A$ is defined by equation (2).

(b)

Interpretation Introduction

Interpretation:

The volume of CSTR and PFR are to be determined if $-r_A=k{C}_A$ with $k=0.0001{\text{ s}}^{-1}$ .

Concept Introduction:

For a Continuous Stirred Tank Reactor (CSTR), the design equation to be used is:

  $V=\frac{F_{A0}-F_A}{-r_A}$ .........(1)

Here, $V$ is the volume of the reactor, $F_{A0}$ is the entering molar flowrate of species A , $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A .

  $F_A$

can be further defined as:

  $F_A=C_{A}v$ .........(2)

Here, $C_A$ is the concentration of species A , and $v$ is the volumetric flowrate.

For a Plug Flow Reactor (PFR), the design equation to be used is:

  $\frac{d{F}_A}{dV}=-r_A$ .........(3)

Here, $V$ is the volume of the reactor, $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A . $F_A$ is defined by equation (2).

(c)

Interpretation Introduction

Interpretation:

The volume of CSTR and PFR are to be determined if $-r_A=k{C}_A^2$ with $k=300\frac{{\text{dm}}^3}{\text{mol}\cdot \text{h}}$ .

Concept Introduction:

For a Continuous Stirred Tank Reactor (CSTR), the design equation to be used is:

  $V=\frac{F_{A0}-F_A}{-r_A}$ .........(1)

Here, $V$ is the volume of the reactor, $F_{A0}$ is the entering molar flowrate of species A , $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A .

  $F_A$

can be further defined as:

  $F_A=C_{A}v$ .........(2)

Here, $C_A$ is the concentration of species A , and $v$ is the volumetric flowrate.

For a Plug Flow Reactor (PFR), the design equation to be used is:

  $\frac{d{F}_A}{dV}=-r_A$ .........(3)

Here, $V$ is the volume of the reactor, $F_A$ is the exit molar flowrate of A , and $-r_A$ is the rate of reaction of species A . $F_A$ is defined by equation (2).

(d)

Interpretation Introduction

Interpretation:

The time required by a constant volume batch reactor to consume 99.9% A is to be determined for $-r_A$ and $k$ in parts (a), (b), and (c).

Concept Introduction:

For a constant volume batch Reactor, the general mole balance to be used is:

  $\frac{d{N}_A}{dt}=r_{A}V$ .........(4)

Here, $V$ is the volume of the reactor, $-r_A$ is the rate of reaction of species A , and $N_A$ is the moles of A .