KRD CHAPTER 1

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Chemical Engineering Department CBB REACTION ENGINEERING CHAPTER 1: MOLE BALANCES (part 1) “what you focus on will grow – so focus on doing it, understanding it” 1

Transcript of KRD CHAPTER 1

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Chemical Engineering DepartmentCBB REACTION ENGINEERING

CHAPTER 1: MOLE BALANCES(part 1)

“what you focus on will grow – so focus on doing it, understanding it”

1

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Basic knowledge

Application

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1. Define Reaction Rate

2. Define General mole balance equation in relation to

reactor design

3. Understanding on various industrial reactors

LEARNING OBJECTIVES OF CHAPTER 1

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1. Define Reaction Rate

2. Define General mole balance equation in relation to

reactor design

3. Understanding on various industrial reactors

LEARNING OBJECTIVES OF CHAPTER 1

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Indicates how fast a number of moles of one chemical species being transform to another chemical species

Rate of reaction

CONVERSION RATECHEMICAL SPECIES A

CHEMICAL SPECIES B

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What is Chemical Species?

• Any chemical component with a given identity

• Determined by the kind, number and configuration of the species’ atom

CC

H H

CH3 CH3

Cis-2-butene

CC

H

HCH3

CH3

Trans-2-butene

Considered as 2 different species due to the different configuration even when the numbers of atoms of elements are the same

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When has a chemical reaction takes place?

REACTION OCCURRED

Changed in number of

atoms

Changed in structure

Changed in atom

configuration

Decomposition

22233 CHCHHCHCH

Isomerisation

CombinationNO2ON 22

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RATE OF REACTION

Rate of reactant disappearance

Rate of product formation

-rA

rB

UNIT:

Rate of chemical species react (or formed) per unit volume (mol/dm3.s)

Rate of chemical species react (or formed) per unit catalyst weight (mol/gcat.s)

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• Rate equation is an algebraic equation

• Rate equation is an intensive properties – depends on

concentration, temperature, pressure, or type of catalyst,

if any, present in a system

• Rate equation is not influence by type of reactor used!!

NOTE: dCA/dt is not the definition for

reaction rate

Reaction rate, -rA

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• Example: Is NaOH reacting? CSTR - operated at steady state;

inlet flow rate = outlet flow rate Perfectly well mixed system;

concentration of samples taken

at 10 a.m is the same as

concentration taken at 5 p.m

Therefore: dCA/dt = 0

Does this mean that -rA = 0; i.e.

no reaction occurs?

Reaction rate, -rA

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• Example: Is NaOH reacting? CSTR - operated at steady state;

inlet flow rate = outlet flow rate Perfectly well mixed system;

concentration of samples taken

at 10 a.m is the same as

concentration taken at 5 p.m

Therefore: dCA/dt = 0

Does this mean that -rA = 0; i.e.

no reaction occurs?

Reaction rate, -rA

dtdCr A

A

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1. Define Reaction Rate

2. Define General mole balance equation in relation to

reactor design

3. Understanding on various industrial reactors

LEARNING OBJECTIVES OF CHAPTER 1

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General Mole Balance Equation

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General Mole Balance Equation

IN – OUT + GENERATION = ACCUMULATION

UNIT: moles/time

FAO FA GA dNA/dt

dtdNGFF A

AAA 0

VrG AA .

Only valid if ALL SYSTEM VARIABLE IS

A CONSTANT!!

e.g. SMALL VOLUME

BAD NEWS:

Reactor system is RARELY SMALL such that you can consider all the system variable are SPATIALLY UNIFORM!!e.g. temperature, concentration & catalytic activity

HOW DO WE DEAL WITH NON-UNIFORMITY?

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General Mole Balance Equation

dtdNdVrFF A

V

AAA 0

rA,1

rA,2

V1

V2

11,1, VrG AA

M

iiiA

M

iiAA VrGG

1,

1,

Taking limits: Let M and V 0

GENERAL MOLE BALANCEEQUATION FOR

REACTOR SYSTEM

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Mole Balance For Different Reactor Type

Batch reactordtdNdVrFF A

V

AAA 0

dtdNVr A

A .

IN – OUT + GENERATION = ACCUMULATION

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Mole Balance For Different Reactor Type

• Continuous stirred tank reactor (CSTR)

dtdNdVrFF A

V

AAA 0

A

AA

rFFV

0

00 AAA VrFF

IN – OUT + GENERATION = ACCUMULATION

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Mole Balance For Different Reactor Type

Plug Flow Reactor (PFR)

dtdNdVrFF A

V

AAA 0

IN – OUT + GENERATION = ACCUMULATION

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Mole Balance For Different Reactor Type

• Packed Bed Reactor (PBR) -rA’ = mol A reacted

time. mass of catalyst

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SUMMARY

Reactor Mole Balance RemarksBatch Well mix, no

spatial variation, unsteady state

CSTR Well mix, no spatial variation, steady state

PFR Steady state

PBR Steady state

dtdN

Vr AA

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Types of Reactor:

1. Batch reactor

2. Continuous-Stirred Tank Reactor (CSTR)

3. Plug Flow Reactor (PFR) or Tubular

Reactor

4. Packed Bed Reactor (PBR)

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Industrial reactors

Types of reaction

Liquid phase reaction Gas phase reaction

Batch / Semi batch reactor

CSTR

PFR

Tubular reactor

Packed bed reactor

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Example 1-1: How large is it?

Consider the reaction: AB (first order reaction)

The reaction is carried out in a tubular reactor with constant volumetric flow rate.

1. Derive the equation to relate the reactor volume to the entering and exiting concentration of A, the rate constant, k, and the volumetric flow rate, v.

2. Determine the reactor volume required to reduce the exit concentration to 10% of the entering concentration. Data: volumetric flow rate = 10 dm3/min, k = 0.23 min-1

EXAMPLE

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Use Example 1-1. • Calculate the volume of CSTR for the conditions

used in Example 1-1. • Which gives the larger volume?• What contributes to these differences?

EXAMPLE

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FORMATIVE ASSESSMENT

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1. What assumptions were made in the derivation of the design equation for

• the batch reactor?• the plug-flow reactor?• the CSTR?• the packed bed reactor?

2. Is reaction rate an extensive quantity? Explain.

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END OF LECTURE