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Microsoft PowerPoint 2 Mole balancesppt Compatibility Mode

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Tiêu đề Microsoft PowerPoint 2 Mole Balancesppt Compatibility Mode
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Reaction Rate • The reaction rate is the rate at which a species looses its chemical identity per unit volume.... Reaction Rate • The reaction rate is the rate at which a species looses [r]

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Chemical Reaction Engineering (CRE) is the

field that studies the rates and mechanisms ofchemical reactions and the design of the reactors in

which they take place

Lecture 1

1

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 Continuously Stirred Tank Reactor (CSTR)

 Packed Bed Reactor (PBR)

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Chemical Reaction Engineering

3

Chemical reaction engineering is at the heart of

virtually every chemical process It separates thechemical engineer from other engineers

Industries that Draw Heavily on Chemical

Reaction Engineering (CRE) are:

CPI (Chemical Process Industries)

Examples like Dow, Amoco, Chevron, BSR, SK

Energy, etc

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4

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Chemical Plant for Ethylene Glycol (Ch 5)

Smog (Ch 1)

Plant Safety (Ch 11,12,13)

Lubricant Design (Ch 9)

Cobra Bites (Ch 8 DVD-ROM)

Oil Recovery (Ch 7)

Wetlands (Ch 7 DVD-ROM)

Hippo Digestion (Ch 2)

5

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Let’s Begin CRE

Chemical Reaction Engineering (CRE) is

the field that studies the rates and

mechanisms of chemical reactions and the design of the reactors in which they take place.

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• A chemical species is said to have reacted

when it has lost its chemical identity.

Chemical Identity

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• A chemical species is said to have reacted

when it has lost its chemical identity.

• The identity of a chemical species is

determined by the kind, number, and

configuration of that species’ atoms.

Chemical Identity

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• A chemical species is said to have reacted

when it has lost its chemical identity.

1 Decomposition

Chemical Identity

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• A chemical species is said to have reacted

when it has lost its chemical identity.

1 Decomposition

2. Combination

Chemical Identity

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• A chemical species is said to have reacted

when it has lost its chemical identity.

1 Decomposition

2 Combination

3. Isomerization

Chemical Identity

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Chemical Identity

12

 A chemical species is said to have reacted when

it has lost its chemical identity

 There are three ways for a species to loose its

identity:

1 Decomposition CH 3 CH 3H 2 + H 2 C=CH 2

2 Combination N 2 + O 22 NO

3 Isomerization C 2 H 5 CH=CH 2CH 2 =C(CH 3 ) 2

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• The reaction rate is the rate at which a

species looses its chemical identity per unit volume.

Reaction Rate

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• The reaction rate is the rate at which a

species looses its chemical identity per unit volume.

• The rate of a reaction (mol/dm3/s) can be expressed as either

the rate of Disappearance: -rA

or as

the rate of Formation (Generation): rA

Reaction Rate

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Reaction Rate

Consider the isomerization AB

r A = the rate of formation of species A per unit volume

-r A = the rate of a disappearance of species A per unit volume

r B = the rate of formation of species B per unit volume

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Reaction Rate

• EXAMPLE: AB

If Species B is being formed at a rate of

0.2 moles per decimeter cubed per second, ie,

rB = 0.2 mole/dm3/s

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Reaction Rate

Consider species j:

• rj is the rate of formation of species j per unit volume [e.g mol/dm3/s]

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Reaction Rate

• rj is the rate of formation of species j per unit

volume [e.g mol/dm3/s]

• rj is a function of concentration, temperature,

pressure, and the type of catalyst (if any)

• rj is independent of the type of reaction system (batch reactor, plug flow reactor, etc.)

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Reaction Rate

• rj is the rate of formation of species j per unit volume [e.g mol/dm3/s]

• rj is a function of concentration,

temperature, pressure, and the type of

catalyst (if any)

• rj is independent of the type of reaction system (batch, plug flow, etc.)

• rj is an algebraic equation, not a

differential equation

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General Mole Balances

24

Building Block 1:

System Volume, V

mole time

mole time

mole

dt

dN G

F F

j Species of

on Accumulati

Rate Molar

j Species of

Generation

Rate Molar

out j

Species

of Rate

Flow Molar

in j Species

of Rate

Flow Molar

j j

j j0

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General Mole Balances

G j = j

2 2

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General Mole Balances

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General Mole Balances

27

Building Block 1:

General Mole Balance on System Volume V

InOut + Generation = Accumulation

FA 0FA + ∫ rAdV = dNA

dt

System Volume, V

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Batch Reactor Mole Balance

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Batch Reactor - Mole Balances

A A

A A

A A

F F

dt

dN dV

r F

rA = A

Well-Mixed

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Batch Reactor - Mole Balances

dN t

0

30

A A

A A

N N

t t

N N

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Batch Reactor - Mole Balances

dN t

0

N A

t

31

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Continuously Stirred Tank Reactor

Mole Balance

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CSTR (Cont.)

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CSTR (Cont.)

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Plug Flow Reactor

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PFR Mole Balances

PFR:

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PFR Mole Balances (Cont.)

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Plug Flow Reactor - Mole Balances

r F

PFR

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Plug Flow Reactor - Mole Balances

0

The integral form is:

This is the volume necessary to reduce the

entering molar flow rate (mol/s) from FA0 to the

exit molar flow rate of FA

Alternative Derivation

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PFR Mole Balances (Cont.)

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Packed Bed Reactor Mole

Balance

PBR

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Packed Bed Reactor - Mole Balances

49

dt

dN W

r W

W F

W

F AA + ∆ + A′∆ = A

A W

A W

W A

W

F F

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Packed Bed Reactor - Mole Balances

50

dFA

dW = ′ rA

Rearrange:

PBR catalyst weight necessary to reduce the

entering molar flow rate FA0 to molar flow rate FA

0

The integral form to find the catalyst weight is:

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Reactor Differential Algebraic Integral

The GMBE applied to the four major reactor types(and the general reaction AB)

dN t

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Homework 1: A 200-dm3 constant-volume batch reactor is

pressurized to 20 atm with a mixture of 75% A and 25% inert The gas-phase reaction is carried out isothermally at 227 C.

P = 20 atm

T = 227 C

a Assuming that the ideal gas law is valid, how many moles of A are

in the reactor initially? What is the initial concentration of A?

b If the reaction is first order:

Calculate the time necessary to consume 99% of A.

c If the reaction is second order:

Calculate the time to consume 80% of A Also calculate the pressure

in the reactor at this time if the temperature is 127 C.

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Homework 2:

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