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urea hmd

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ACKNOWTEDGMENT This study was -not my own effort, many hands were contribute for presenting it in this way. First, I am greatly indebted to my supervisor prof. Hamid Mohammed Mustafa, so my gratitudes and thanks go to him for hi kind help, splendid guidance and close supervision during the course of this study; his help left appreciable remarks through this study, My thanks should be extended to the working group (administration, supervision, engineering,.. .etc.) in the experimental urea plant in southern Khartoum for their concern and help in data collecting. The design group Eltigani. and Ahmed were a tremendous help presenting the first four chapters. My thanks should be extentend to them or their participation. Last, my thanks to all who helped me in anyway. 1
Transcript
Page 1: urea hmd

ACKNOWTEDGMENT

This study was -not my own effort, many hands

were contribute for presenting it in this way.

First, I am greatly indebted to my supervisor

prof. Hamid Mohammed Mustafa, so my gratitudes

and thanks go to him for hi kind help, splendid

guidance and close supervision during the course

of this study; his help left appreciable remarks

through this study,

My thanks should be extended to the working

group (administration, supervision,

engineering,.. .etc.) in the experimental urea

plant in southern Khartoum for their concern and

help in data collecting.

The design group Eltigani. and Ahmed were a

tremendous help presenting the first four

chapters. My thanks should be extentend to them

or their participation.

Last, my thanks to all who helped me in anyway.

Najm Eldin

I ___________________________

1

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CONTENTS

CHAPTER ONE

LITERATURE SURVEY ON UREA PRODUCTION ……………… …………

1—1 Introduction………………… ……………………………….

1—2 Properties of urea………………… ……………………..

1—3 Reaction kinetics………………… ………………………

l—4 Raw materials for urea production

1—5 Uses of urea………………… ……………………………….

CHAPTER TWO

MANUFACTURING PROCESS AND PROCESS DESCRIPTION ……………

2—1 introduction ………………… ……………………………

2—2 Solution recycle process………………… ……………

2—3 Once. through process ………………… ………………

2—4 Total recycle process………………… ………………..

2—5 Process description………………… …………………..

CHAPTER THREE

THE MATERIAL BALANCE………………… ……………………………

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CHAPTER FOUR

THE ENERGY BALANCE………………………………………………………………

CHAPTER FIVE

1-2DESIGN OF THE REACTOR ………………… ………………

5—1 Introduction ………………… …………………………….

5—2 Chemical kinetics & rate equation ……………...

5—3 Design equation ………………… ……………………….

5—4 Calculations of the reactor size…………………

5—5 Mechanical design of the reactor…………………

CHAPTER SIX

SPECIAL TASK PROCESS CONTROL………………… ………………

6—1 Introduction ………………… …………………………

6—2 Control objectives………………… …………………

6—3 Typical control systems ………………… ……………

6—4 Reactor control………………… ………………………..

I1FFERENCES ………………… ……………………………………

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CHAPTER ONE:-

I TERATURF SURVEY ON UREA PRODUCT IOI : -

1—1 Introduction:_

Urea is a crystalline material, soluble in water

and in alcohol. it contains 46% nitrogen. The

common method of manufacture of urea is to

combine ammonia and carbon dioxide under pressure

to form ammonium carbamate which is then

decomposed into urea and water, the un reacted

ammonia are

recovered and recycled to the synthesis

operation, The reaction is:

2NH3 +C02 z NH4C02 NH 2 NH2C0NH2 + H20

There are other methods for the production of urea

such as the ones through operation and partial

recycle operation. Capacity of the plant, production

facilities and economic considerations must be

taken into account.

1—2 Properties of urea:—

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1—2-1 General Properties:

Ammonium carbamate is obtained by direct

reaction of ammonia (NH3 ) arid carbon dioxide

(Co2). The two reactions are carried out

simultaneously in high pressure reactor.

Recently urea has been used commercially as

cattle feed supp1yjnen and other appijcj113 for

urea: the manufacture of resins, solvents and some

medicines. -

1-2—2 Chemical properties:-. -

Urea has the formula

Urea is a weak base; at atmospheric pressure and at its

melting point urea-decomposes to ammonia, biuret

cyanuricacid C3 N3 (oH3,ammelide NH2 C(OH)2 and

triuret NH2 (CONH)2 COHN2 Biuret is the main and

the least desirable by-product in the commercial Synthesized urea.

Urea acts as monobasic substance and forms

salts with acids, with

5

NH

NHC OHNHC O

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nitric acid it forms urea nitrate CO(NH2)11N03.

Solid urea is rather stable at room temperature.

and atmospheric pressure, heating under vacuum

at its melting point urea sublimes.

At180—1909C urea will sublime under vacuum and

be converted to ammonium cyanate NH4OCN, at

pressure of 100—200 atm. biuret will, revert to

urea when heated in pressure of ammonia.

Urea reacts with formaldehyde and forms compounds

such as monomethylol urea NH2 CONHCH3OH

diaethyloL , urea and others depending on mole

ratio and PH of the solution.

Urea reacts with hydrogen peroxide to give urea

peroxide CO(N112 )211202 while crystalline

powder, which is known under the trade name of

hyperol , and is used as an oxidizing agent.

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Urea derivatives are used as medicines,

sedatives and hypnotics, the main derivative is

barbituric acid obtained from urea and malonic

acid (from its ester).

1—2—3 Physical properties:—

The following tables show the physical.

properties of urea.

table 1—3—1 shows the properties of saturated

aqueous solution

of urea:

Temperature °C Solubility in

water gm

urea/100 gm

solution

Density

g/cm

Viscocity

cp

H2O

vapour

pressure

mm Hg

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0 41.0 1,120 2.63 4

20 . 51.6 1.147 1.96 13

40. 62.2 1.167 1.77 40

60 72.2 1.184 1.72 90

80 80.6 1,198 1.93 160

100 88.3 1.210 2.35 220

120 95.5 1.221 2.93 135

130 99.2 1.226 3.25 7

Table 1-2-i

The following table (1—2—2) shows the general

properties of urea

Property Assigned value

— Melting point 132. 7°C

—index of refraction nD20 1.484, 1.602

- specific gravity nD20 1,335

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- crystalline formed

and hapit

Tetrazonal. needle or

prisms

— free energy of

formation at 25°C

—47.12 cal/gmole

— heat of fusion 60 cal/g,endothermic

— heat of solution in

water

58 cal/g

- heat of

crystallization 70%

aguous urea—solution

110 cal/g, exothermic

- bulk density

0.74 gm/cm

Table 1—2-2

Table 1—2—3 shows specific heat of ammonium carbonate.

Temperature co Specific heat [cal/g°c]

20 0.4

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60 0.46

100 0.52

140 0.58

180 0.62

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Table 1—2-4 shows specific heat of urea at different

temperatures.

Temperature [0C] Specific heat [cal/g0 c]

0 0. 344

50 0.397

100 0.451

150 0. 504

Table 1-2-4

Table 1—2—5 shows the properties of saturated solution

of urea in ammonia.

Temperature

[0C]

Urea in solution wt% Vapour

pressure of

solution

[ mmHg]

0 36 4

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20

49

7

40 68 9.4

60 79 10.8

80 81 13.3

100 90 12.5

120 96 5

Table 1-2-5

Ammonium carbamate is of a inciting point of about

150°C and heat of fusion in the range of 4000 cal/gmol.

and it is soluble in water.

1-3 Reaction Kinetics:—

Ammonia reacts with carbon dioxide to form Ammonium

carbamate

by the reaction:

2NH3 + CO2 NH2C02NH4 (1)

This 2 is a third order reaction of equilibrium

constant Kp = PNH 32 PCO2

At high temperature and pressure

the reaction is instantaneous.

Ammonium carbamate is dehydrated to urea as follows:

NH2 CO2 NH4 NH2 CONII2 + H 20 (2)

carbamate urea

12

(1 — x)(a — 2x)

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Frejacques made investigations of the equilibrium

conversion of Ammonium carbamate to urea with excess

ammonia and with excess water, in the temperature range

from 130 to 210°c. He derived the following formula for

the equilibrium constant

k = x(b + x)(1 +a + b — x)

where

K = equilibrium constant

X= mole fraction of total initial CO2 converted to urea

a = mole ratio of NH3 to CO2 in total mixture

b mole ratio of H2O to CO2 in the total initial mixture

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before the urea reaction takes place

The overall given below will clarify the terms in the

above derivation

aNH3 + NH2O + CO2 xNH2CONH2 + (1 — x)NH4CONH2 +

(a — 2)NH3 3 + (b + x)H2O

The equilibrium conversion K can be increased either by

increasing the reactor temperature or by dehydrating

ammonium carbamate in the presence of excess ammonia.

2NH3 + CO2 NH2CONH2 + H2O

Excess ammonia shifts the reaction to the right side of

the overall equation and in the presence of excess

water the reaction is shifted to the left.

Mavrovic published a monographic presentation of the

reaction equilibrium constant (k). He found the actual

equilibrium constant at various temperatures given in

the table 1—4—1.

Temperature [oC] Reaction equilibrium constant

140 0.695

150 0.850

160 0.075

170 1.375

180 1.8

190 2.38

200 3.18

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Table 1—3—1

1-4 Raw Materials For Urea Production :T

he raw materials for the production of urea are ammonia

and

carbon dioxide. Natural gas is the main source of

producing these raw materials. The carbon dioxide is

often passed over a catalyst to remove any remaining

traces of free oxygen, the main source of corrosion in

the urea reaction.

Ammonia synthesis gas is prepared by high-pressure

catalytic reforming of hydrocarbon feed gas, in the

primary reformer with super—healed stream and in the

secondary reformer with air to furnish nitrogen. The

amount of air is adjusted eventually to supply a H2/N2

molar ratio of 3:1. In the experimental plant in the

southern part of Khartoum, Naphtha is the main source

of producing the raw materials of urea production, and

this require very high cost.

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1-5 Uses Of Urea;—

There are many uses of urea in our daily life:

1— The major uses of urea is its importance as a

fertilizer which mainly due to its high nitrogen

content (about 46%). Also urea solution is converted

into ammonium bicarbonate by the action of soil

bacteria.

Ammonium bicarbonate is quickly changed by soil acid

into a form stable against wash away loss. The ease of

application and unexistence of any residual matter in

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the soil are some causes to make urea used as a good

fertilizer.

2- Urea is used in the manufacture of thermosetti.ng

resins, the most important of which is urea

formaldehyde resin.

3— Urea is also used in feeding of animals (cattle), it

can replace for up to one third of the total protein

intake by cattle.

4— Urea is also used as a softener for various

cellulose products, e.g. glassing, cellophane paper and

wood. Urea is also used as an additive to reduce the

Viscocity of starch and others. It is also used in the

manufacture of caffeine , ethyurea hydrazine , and many

other chemical industries.

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CHAPTER – TWOMANUFACTURING PROCESS

AND

PROCESS DESCRIPTION

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CHAPTER TWO:

1AMUFACTURING CESS AND PROCESS DESCRIPTION :

2-1 Urea can be produced by hydrolysis of cyammide

according to t he equation:

CN.NH2 + H2O C O(NH2)

At 33 to 53 atmosphere urea can also be formed by

heating ammonium carbamate. Equilibrium is obtained at

130 to 1500C with a 30 to 45% yield.

The common method of manufacture is to combine ammonia

and carbon dioxide under pressure to form ammonium

Carbamate which is then decomposed into urea and water.

The un reacted carbon dioxide and ammonia are recovered

and recycled to the synthesis operation.

Table 2—1—1 shows the number of processes available for

urea manufacturing:

Type of Dupant Pechiner

y

Montica

-

Inventa Chemica

l

operatio

n

carbamt

e

carbamte tini pa aqueous MEA

used

recycle

d

recycled rtial urea n— to abso

Reactor wit NH3 with oil liquid itrate rb C03H3

conditio & H2O recycle for NH3 Recycle

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n d

Recover

y

Temperature 200 180 180 200 185

Pressure

[atm]

400 200 200 200 170

Lining silver lead stain— undis Silver

less closed

NH3;CO2; H2O; 5:1:0.73 2:1:0 3:4:1 2:1:0 6:1:0

CO conversion

in Autoclave 70 50 52 50 76

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Total 70 50 88 50 76

NH3 conversion

in Autoclave

24 50 32 50 25

Total 24 50 72.5 50 73

2—2 Solution Recycled Process:—

The process employs aqueous urea nitrate to recover

ammonia

without CO current absorption of the carbon dioxide.

The ammonia and carbon dioxide are recompress and fed

with the make—up carbon dioxide and ammonia to

converter.

2—3 Once Through Process:

In this process, un reacted ammonium can be used by

recycling and un reacted carbon dioxide wasted or

utilized elsewhere. Recycling un reacted ammonia and

carbon dioxide may cause formation of solid ammonium

carbamate. The recycling of NH3 and CO2 results in

higher NH3/CO2 ratio. Ammonia conversion is 32% and this

is the least expensive process.

2—4 Total Recycle Process:—

The hot gases from decomposers are re circulated to the

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reactor, there are different types adopted for total

recycle processes which can be briefed into:

(i) Hot gas mixture recycle:-

This method includes compression of the NH3/C02 gas

mixture in the five stages with air cooling between

stages. The gas mixture compressed to 2700C is very

corrosive and the tenPerat1jre control is very

difficult. This process is of high capital costs,

difficult operation and very high maintenance costs.

(ii) Separated gas recycle:-

This process involves the absorption of either ammonia

r carbon dioxide in a selective solvent, e.g. (mono

ethanol amine) and urea nitrate, resulting in their

sepaation and then re circulating back to the urea

synthesis reactor independently.

(iii) Carbonate solution recycle :T

his process involves the absorption of ammonia

and carbon

dioxide gas mixture iii water and recirculation

as aquous ammonia carbamate solution. The excess

ammonia can be stripped and re circulated

separately.

(iv) Carbamate slurry recycle: T

his process involves the reaction of the ammonia

and

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carbon dioxide to form solid ammonium carbamate

in a non— aquous medium, such as mineral, oil or

liquid ammonia. The carbamate is re circulated

back t” the urea synthesis reactor.

A special purification is required to separate

the medium from the urea solution.

2—5 Process Description:—.

This description was carried up with reference

to the process flow sheet (fig. 2—1).

Liquid ammonia from vessels V—101 and V-105 were

combined, passed through several pumps,

preheated to 165°F by E-105 and fed to the

bottom of reactor R—l01. Carbon dioxide was

cooled to 101 °F by E—l01 and then compressed to

greater than 3615 psia

295°F by compressors. A liquid recycle stream

containing water, ammonia ,urea , ammonium

carbamate and some biuret also fed to the

reactor.

The reactor (R—l01) was operated adiabatically

at 3516 psia and 365°F. The total N113/C02 mole

ratic was 4.6. Half an hour is satisfying to the

residence time in the reaction. The percent of

the urea CO2 per total CO2 was 68%.

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The mixture from the reactor was passed through

a pressure reduction valve to bring the pressure

to .bout 305 psia and the temperature to 250°F,

the stream was fed near the top of the high

pressure C-101. Heat was supplied to a re boiler

on the high pressure decomposer C—101 and about

85% of the ammonium carbamate was decomposed to

ammonia and carbon dioxide which exist with

water to the top of the decomposer.

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The exit stream from the bottom of 101 was

cooled in E—107 and fed near the top of the low

pressure decomposer which operated at 43 psia.

85% of the entering carbamate was decomposed and

NH ,CO and water was the exit stream. The liquid

stream from the bottom was fed to gas separator

0—103.

The remaining carbamate decomposed in C—103

which was operated at 19 psia. Heat was supplied

to the liquid in the bottom of the gas separator

to increase the water content of the gas stream

leaving the top of 0-103. 76.4% by weight was

the amount of urea (with 8% of urea was biuret)

in the liquid stream from the bottom of C—103 •

The remaining (which was water) was cooled to

176°F, and fed to V—102 A, and through filter S—

1O1 A, preparation vessels V—103 A & B and S—101

B, the impurities were removed.

Urea solution was sent to crystallizers E-201 A

& B which was operating ,,at, 158°F. Heat of

crystallization was used to vaporize water in

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the crystallizers. Urea slurry was fed to

centrifuges S—201 A & B, dried to 0.3% water by

weight in E—202.

Urea prills exited front the prill tower M-202

at 175°F were moved by convertor M—203 to

elevator M—301. Materials were removed by screen

14—302 and were melted in 14—303 and were

recycled to the process.

The mother liquor was fed to surge tanks T—201 A

& B and most of it was recycled to the

crystallizers and the other part was recycled to

the condenser E—116 where it was joined by the

gas stream from gas separator.

The liquid exit stream from the bottom of

condenser E—116 (containing ammonium carbamate,

ammonia, water, urea and biuret) was fed at the

top of low pressure absorber E—115. The gas

stream from C—102 was fed near the bottom of E—

115. Inerts were removed from the system and the

gas stream from 0—101 was fed to the bottom of

C-104.

In high pressure absorber 0—104, ammonia was

removed at the top and was condensed. Some of

the ammonia was returned to the column as reflux

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and the other part was passed through surge

vessel V—105 and was recycle to reactor R—10l.

The bottom stream from 0—104 which contains

water, ammonia, and ammonium carbamate

was recycled to reactor 11—101.

A circulating stream in the high pressure

absorber was withdrawn from the bottom of C—104

and was passed through exchanger E—113, to

supply heat to the crystallizer. The stream was

then passed through cooler E—112 where the

remaining heat of absorbtion was removed and the

stream re—enters the column just above the lower

packed section.

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Chapter

three

(The material

balance)

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CHAPTER THREES —

THE MATERIAL BALANCE,—

To carry out the calculations of material

balance, Some

information was used in this calculation,

First it is necessary to know the

composij1 of recycle carbamate solution, which

have 34 mole Z water, mole X urea, 35 mole %

ammonium carbamate and mole X of ammonia.

Second, the degree of conversion of urea

C02/total CO2 i taken as 0.68, and NH3/Co2 ratio

is taken as 4.6.

Third, the conditions of operation are

such that the free CO2 and ‘*l3 in the feed are

completely converted t urea.

• Fourth, the liquid stream from bottom of

C103 contains about

• 76.4% urea and 23.6% water and the product

urea contains biuret which is 0.8% of the

product urea.

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Fifth, mother liquor contains 0.35 kg water

per kg of urn 5% of the mother liquor is

recycled to E—116.

Sixth , a basis of 3. hour was used for

calculation and U product is then 31250 kg urea

and 0.8% of product urea is calculated as

biuret.

Seventh, streams (5), (7) and (9) contain

co2, NH3 and water vapour. The amount of CO2 and

NH3 were known fro carbamate decomposition and

amount of water was

• determined by trial and error procedure1 using

pseudocritical method. • -

Calculations of material balance are shown in

this chapter.

The material balance

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* basis aria –hour

* Reactions forming urea are

CO2 + 2NH3 NH2CO2NH4

carbon dioxide + ammonia : ammonium

carbamate

NH2CO2NH4 NH2CO NIl2 NH2 +H2O ammonium

carbamate ammonium carbamate urea + water

2H2O + CONH2 NH2 +CONHCONH2 + NH3

urea biuret + ammonia

molecular weights :

Components M.W (Kg / kmo1)

Urea NH2CONH2 60

CARBAMATE NH2CO2NH4 78

Ammonia NH3 17

Carbon dioxide co2 44

Biuret nh2conhconh2 103

Water h2o 18

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Materiab balance around the reactor r – 101 :-

Conditions : -

Conversition ( co2 in urea / total co2 ) = 0.68

Mole reaction including co2 & NH3 IN RECYCLE

STREAM NH3 / co2 = 4.6

Recycle carbonate composition :

Component Mole %

Water 34

Urea 10

Carbonate 35

Ammonia 21

From equation (1) and (2) production rate mole

of co2 = mole of urea = 31250

60 = 520.8 k mole /hr

Kgs of co2 = 520.8 x 44 = 22916.67 kg/hr

From equation (1)

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Mole of NH3 = 2∗31250

60 = 1041.67 K MOLE/HR

Kgs of NH3 = 1041.67 X 17 = 17708.4 kg/hr

Assumption :-

Recycle carbamate = z K MOLE/HR

Recycle ammonia = x K MOLE/HR

0.68 co2 in urea /total co2

0. 68 = 520 .8+0.17520.8+0.17+0.35 z

Z = 813.86 kmole /hr

NH3 / CO2 ratio = 4.6

4.6 = 1041.67+X+0.217+0.35 Z X 2+0.1 Z X 252 .8+0.1 Z+0.35 Z

Substitution z = 813.86

Given x = 2135.4 kmole /hr

= 36301.8 kg /hr

Since biuret = 0.7 % of product

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Biuret = 31250∗0.0070.993

= 221 kg/hr

Weight of H2O IN production = 312500.993

¿0.3100

= 94.7 kg/hr

Weight of H2O in formula from formation of buiret

= 221∗2∗18103

= 77.24 kg/hr

Weight of C2O required fro forming of buiret

= 221∗2∗44103

= 188.8 kg/hr

Weight of NH3 required fro forming of buiret

= 221∗2∗2∗17103

= 145.9 kg/hr

Weight of NH3 formed = 221∗17

103 = 36.48 kg/hr

C2O required to form 94.7 kg/hr of H2O in product

= 94.7∗4418

= 231.5 kg/hr

NH3 required to form 94.7 kg/hr of H2O in product

= 94.7∗2∗1718

= 170.88 kg/hr

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Stream (19) = z = recycle carbamate = 013.86

kg/hr

Stream (19)

Component Mole % # of moles Wt (kg/hr)

H2O

Urea

Carbamate

ammonia

34

10

35

21

276.710

81.368

284.850

170.920

4981

4882

222218

2895

Total weight = 4981 + 48820.993

+222218+2895 = 35010.5

kg/hr

Stream (2)

Co2 22916.67 + 188.8 = 23105.5 kg/hr

Stream (1)

NH3 surge vessel = 17708.3 + 145.9 = 17854.2 kg/hr stream (3)

NH3 from (1) + recycle NH3

= 36301.8 + 17854.2 = 54155 kg/hr

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Stream (18)

Recycle ammonia = 36301.8 kg/hr

Stream (4)

Urea balance

Urea in (4) = recycle carbamate + recycle urea

= 31250 + 4882 = 36132 kg/hr

Carbamate in (4)

= water from reaction + recycle water

+ water forming from formation of biuret =

31250∗18+4981+77.2460

= 14433.24 kg/hr

Ammonia in (4) = recycle ammonia + ammonia in carbamate solution + ammonia formed from formation of buiret = 36301.8 + 2895 + 36.48 = 39233.3 kg/hr

Buiret in (4) = (31250+4882 ) 0.70.993∗100

= 254.7 kg/hr

Stream (4)

Component Wt (kg/hr) Wt %

Urea

NH

Water

Carbamate

36132.0

39233.0

14433.0

254.7

32.2

35.0

12.8

0.2

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22218.0 19.8

Total 112270.94 100%

Hint : figure (3 – 1) show the material balance around the reactor

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Fig 3 -1 :Material balance Around the reactor

38

REACTOR R 101

4

1

3

19

18

2

Page 39: urea hmd

Material balance around decomposers C—101, C—102 & 0—103:—

(see figure 3-2) Overall material balance:- stream(4) a stream(6) + stream(s). + stream(9) + stream (7) * Material balance around C—101 high pressure decomposer) overall balance

stream(4) = stream (6) + stream (5) * In C—101, 85Z of carbamate decomposed to kg/hr = 204.85 kmol/hr CO2 in (5) = 0.85 x 294.85 x 44 = 10653.39 kg/hr • NH3 in (5) a 0.95 x 294.85 x 2 x 17 = 0232.2 kg/hr

To calculate amount of water removed by C—101, pseudocritical method was used .

Pressure in C—101= 305 psia = 305∗1.01314.7

= 21 bar

Assume amount of water= 25 kmol = 450 kg/hr

Mole fraction are as follows :

Y CO2 = 242

242+484+25 = 0.32

Y NH3 = 484751 = 0.65

Y H 2O = 25

751 = 0.03

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Pseudocritical pressure

ppcNH

3

= Y 1 PC1 + Y 2 PC2 + Y 3 PC3

NH 3 = 112.8 bar

co2 = 73.8 bar

H2O = 220.5 bar

ppc = 0.32 * 73.8 + 0.65 * 112.8 + 0.03 * 220.5 = 103.55 bar

T PCNH

3

= Y 1 T PC1 + Y 1 T PC

2 + ….

NH3 = 405.6 0K

CO2 = 304.2 0K

H2O = 647.3 0K

Where T is the Temperature .

T PC = 0.32 * 304.2 + 0.65 * 405.6 + 0.03 * 647.3 = 380 0K

Pseudoreduced pressure P

PPR = P/PPR = 21/103.55 = 0.2

And pseudo reduced temperature T P R

T P R = T/T P R = 438/380.4 = 1.15

From compressability factor chart we find

Zmix = 0.96

The volume of gas = Zmix RT/P

= (0.96 * 8.314 *438) = 166.5 m3 /kmo

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Using Dalton’s low

V mix = RTP ∑

i=1

n

zi y i

From charts

z(CO2) = 0.99

z(NH3) = 0.96

z(H2O) = 0.90

V mix = 8.314∗438 (0.32∗0.99+0.65∗0.96+0.03∗0.9)

21 = 167.8 m3 /kmol

Repeat this method using other values of amount of water removed and calculate the volume of gass by the two methods above . until the different be minimum and then find the correct amount of water . Then amount of water removed = 30 kmol = 540 kg/hr

NH3 in stream (5) = NH3 in (4) + NH3 formed from decomposition of carbamate =39233 + 8232.2 = 47465 kg/hr

Composition of stream (5) is

Component Wt (kg/hr) Wt %

NH

CO2

H2O

47465

10653

540

81

18.1

0.09

Total 58658 100

For decomposer C- 102 :

Stream (6)

41

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Component Wt (kg/hr) Wt %

Urea

Biuret

Carbamate

Water

36132

254.7

3332.7

13893

67.3

0.48

6.21

26.01

Total 53612.4 100

Over all material balance around C - 102 STREAM (6) = STREAM (7) + STREAM (8) Also 85% of carbamate were decomposed .

42

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Fig3 material balance around decomposer :

43

5 7 9

4

C103C102C101

6 8 10

Page 44: urea hmd

As in C - 101 , using pseudocritical method we can find the amount of water removed in C - 102 = 50 kmol/hr = 900 kg/hr

NH3 in (7) = 0.85 * 3332.7∗2∗17

78 = 1234.8 kg/hr

CO3 in (7) = 0.85 * 3332.7∗44

78 = 1598 kg/hr

Stream (7)

Component Wt (kg/hr) Wt %

H2O

CO2

NH3

900

1589

1234.8

24.1

42.8

33.1

Total 3732.8 100

Stream (8)

Urea in stream (8) = 36132 kg/hr

Biuret in stream (8) = 0.15 * 3332.7∗78

78 = 500 kg

Water in (8) = water in (6) – water in (7)

= 13893 – 900

= 12993 kg/hr

44

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Stream (8)

Component Wt (kg/hr) Wt %

Urea

Biuret

Carbamate

Water

36132.0

254.7

500.0

12993.0

72.94

0.51

1.0

26.0

Total 49879.7 100

Decomposer C- 103 material balance :-

Stream (8) = stream (9) + stream (10)

Stream (10) contains 76% urea , 23.3 % water and 0.7% Biuret .

H2O in (10) = 36132∗0.233

0.76 = 11077 kg/hr

Biuret in (10) = 36132∗0.007

0.76 = 254.7 kg/hr

45

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Fig 3-3

Material balance Around the dryer E- 202

46

AIRE 202

25

26

27

Page 47: urea hmd

Stream (10)

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

36132

11077

254.7

76.0

23.3

0.7

Total 47463.7 100

Sream (9) = stream (b) – stream (10)

Stream (9)

Component Wt (kg/hr) Wt %

CO2

NH3

H2O

282

218

1916

11.7

9.0

79.3

Total 2416 100

Material Balance around dryer E- 202:-

See fig 3-3

47

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Since stream (27) contains crystal composed of

0.3% water , then H2O in (27) = 31250+221∗0.3

100 = 318

kg/hr

Stream (25)

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

31250

318

221

98.3

1.0

0.7

Total 31789 100

Material Balance around centrifuges & crystallizers ( E- 201 A& B, T201 A & B , S201 A & B ) : -

See figure 3 – 4

Over all material balance

Stream (10) = stream (25) + stream (22) + stream (23)

Urea balance :-

Urea in (10) = urea in (25)_ + urea in (22)

Urea in (22) = 36250 = 4882 kg/hr

Given that stream (22) is 5% of stream (33)

48

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Urea in stream (33) = 48820.05 = 97640 kg/hr

Given That stream (33) contains 0.35 kgs

Of H2O per kg of urea H2O IN (33) = 0.35 * 97640 = 34174 kg/hr and H2O in (22) = 0.35 * 4882 = 1708 .7 kg/hr

Biuret in stream (33) = 97640∗0.007

0.993 = 688 kg/hr

Stream (33)

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

97640

34174

688

73.7

25.8

0.5

Total 132502 100

STREAM (22) WITH IS 5% FROM STREAM (33)

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

4882

1708.7

34.4

73.7

25.8

0.5

Total 6625.1 100

Centrifuges A& B material balance :-

49

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Over all material balance

Stream (24) = stream (33) + stream (25)

Urea in (24) = urea in (33) + urea in (25)

= 97640 + 31250 = 128890 kg/hr

Stream (24) :

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

128890

34492

909

78.45

21.00

0.55

Total 164291 100

Crystallizer A & B material balance :-

Over all material balance

Stream (10) + stream (31) = stream (23) + stream (24) but stream (31) is 95% of stream (33

50

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Stream (31) :-

51

23

1003

22 1003

31

2433

25

T 201

A & B

E 201

A &B

S 201

A & B

Page 52: urea hmd

Component Wt (kg/hr) Wt %

Urea

Water

Biuret

92758

12767.4

863.55

73.3

25.9

0.5

Total 126388.95 100

Water balance :

H2O in (23) = H2O in (10) + H2O in (31) – H2O in (24)= 11077 + 32767.4 – 34492 = 9352 kg/hr

Stream (23) :-

Component Wt (kg/hr) Wt %

Water 9352 100

Material balance around condenser (E-116) and high and100 pressure absorber (C- 104 ) & (E – 115 ) :-

See figure (3 – 5 )

Condenser (E – 116 )

Over all material balance

Stream (9) + stream (22) = stream (21)

Stream (21) : -

Component Wt (kg/hr) Wt %

52

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Urea

Biuret

Water

NH3

CO2

4882.0

34.4

3624.7

218.0

282.0

54.0

0.4

40.1

2.4

3.1

Total 9041.0 100

High pressure absorber ( C – 104 ) :-

Over all material balance :-

Stream (5)+ stream (20) = stream (18) + stream (19)

CO2 balance :-

CO2 in (20) = CO2 in (19) - co2 in (5)

= 813.80 * 0.35 * 44 – 10653 = 1880 kg/hr

NH3 balance :-

NH3 in (20) = NH3 in (18) + NH3 in (19) - NH3 in (5)

= 36301.8 + 813.86 * 0.21 * 17 + (813>83 * 0.35 * 2 * 17 ) – 47465 = 1427 kg/hr

Water balance :-

53

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Water in (20) = water in (19) - water in (5) = 4981 – 540 = 4441 kg/hr

Stream (20) :-

Component Wt (kg/hr) Wt %

Urea

Water

CO2

NH3

4882

4441

1880

1427

38.6

38.2

14.9

11.3

Total 12630 100

Low pressure absorber E – 115 :-

Over all material balance

Stream (7) + stream (21) = inerts + stream (20)

NH3 in inerts = 218 + 1234.8 – 1427 = 25.8 kg/hr

CO2 in inerts = 282.1 + 1598 – 1880 = 0.1 kg/hr

Water in inerts = 3624.7 + 900 –4441 =83.7 kg/hr

54

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Inerts stream :-

Component Wt (kg/hr) Wt %

Water

CO2

NH3

83.7

0.1

25.8

76.4

0.1

23.5

Total 109.5 100

55

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Fig : 3 – 5 Material Balance Around Condenser & Absorber :

56

518

79

22

21

2019

C - 104 E - 115 E - 116

Page 57: urea hmd

Chapter four

The energy Balance

57

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CHAPTER FOUR : --

THE ENERGY Balance :

The general energy balance equation could be written as:—

accumulation of energy within the system] =[transfer of energy into system through the boundary]- [energy transfer through system boundary]+[energy generation within the system ]

- [energy conception Within the system The enthalpy of each stream was calculated by summing

enthalpies of its components with respect to a refer temperature (300c).

The enthalpy is given by:

∆ H=Mcp∆ t

where M = mass of stream in kg

Cp = mean heat capacity (kcal/kgoc)

∆ t = temperature difference

58

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The Energy balance

Reactor R1Ol Energy balance:-

(see figure 4—1)

Overall enthalpy balance:

H2 + + H3 H19 + H4 (heat of solution of urea) + ∆ HS.

Enthalpy of stream (2) (H2)

Generally 11 = mc∆T

∆ = 0.23 kcal/kgoc

.. (146 — 30) = 116°c

M = 23105.5 kg/hr

.. H©= 0.23 x 23105.5 x 116 = 616454.74 kcal/hr

Enthalpy of stream (3)

Cp H 0.525 kcal/kg0c

= 54155 x 0.525 x (74 — 30) = 1250980.5 kcal/hr

Enthalpy of stream (19)

(1120) = 0.45 kcal/kgoc cp(urea) = 0.472 kcal/kgoc

c(carbonate) = 0.55 kcal/ kgoc c(NH) 0.54 kcal/ kgoc

59

Page 60: urea hmd

Latent heat of vaporization of water = 39.9 kcal/ kgoc

H19 = 22218 x 0.55 (120 — 30) + 0.54 x 895 (120 — 30)

4882 x 0.472 x (120 -30) + 4891 [ 539.3 + 0.45(120 —30)]

= 338847.76 kcal/hr

Enthalpy of stream (4)

Latent heat of solution of urea = 58 kcal/kg

Latent heat of fusion of urea 60 kcal/kg

.. = 36353 [60 + 0.522(185 — 30)]+ 22218 x 0.51(185 — 30)

: + 14433[539..g + 0.45(185 — 30)] + 39233 x 0.54(185 — 30)

= 18,961,714.68 kcal/hr

∆Hs (urea) 58 x 36353 = 2108474 kcal/hr

Determination of ∆HR :-

from equations of reactions:— ..

CO2 + 2NH3 __ NH2CONH4 ∆ H = —67000 Btu/lbmol

NII7CONH4 NH2CONH2+ NH3 .H = 18000 Btu/lbmol

total heat of reaction = — 67000 + 18000 = — 49000 Btu/lbmol

60

Page 61: urea hmd

∆ Hr — 49000 x 42003 x 160 1.8

= —19056916.56 kcal

∆ Hs (carb.) H2 + H3( + H19 – N4-∆ Hs (urea)- ∆ Hr

= 6113454.74 + 50980.,5 1- 4338847.76 — 18961714.68

— 2108474 + 19056916.66

= 3638202 kcal

Decomposer C10l energy balance:—

(see figure 4—2)

Enthalpy of stream (5)

47465 x 0.53 (121—30) + 10653 x 0.23 (121 — 30)

+ 540(539.9 + 0.45(121 — 30)

= 2795628 kcal

H6= 36353(60 +0.422(165 —30) +3323.7[51.282 +0.48(165 — 30)]

+ 13893[539.9 + 45(165 — 30)]

- = 12982863 kcal

* Heat of decomposition of carbamate 477 x 0.85 x 22218

90082863 kcal

61

Page 62: urea hmd

* Heat of so1utjo of urea = 2108474 kcal.

Using overall energy balance

H4 +QE106 = H5+ H6+ heat of decomposition of carbamate

+ heat of solution of urea

= 2795628 + 12982863 + 9008288 + 2108478 — 18961714.68

106 = 7933543

Cooler E107 energy balance:

(see fig. 4—3)

• Heat loss due to cooling

QE106 = 13893 [539.9 + 0.451(165 —72)]

+ 36353 [60 + 0.447(165 —72)]

+ 3323..? [51.282 + 0.5(165 —72)]

= 12100953.4 kcal

.‘. H5 = H6 - QE106 = 12982863 —12100953 881910 keai.

C102 Energy balance:—

(see figure 4—4)

62

Page 63: urea hmd

CPCO2 = 0.21 kcal/kg°c

CP NH3 = 0.7 kcal/kg°c

CP H 2O =1.0 kcal/kg°c

H7 = 900 x 1(72 — 30) + 1234 x 0.21 x 42 + 1598 x 0.7 x 42

= 95665 kcal

stream (8)

cp(urea) = 0.484 kcal/kg°c

cp(carbonate) 0.57 kcal/kg°c

H8 = 8353 x 0.484 x (130 —30) + 500 x 0.57(130 — 30)

+ 12933[539.9 + 0.451(130 —30)]

= 9352497 kcal

Heat of decomposition of carbonate 0.85 x 477 x 3323.7

1347594 kcal

Heat of solution of urea 2108474 kcal

Overall energy balance:—

H6 + = H+ h{ + heat of decomposition

+ heat of solution of urea

= 95665 + 9352497 + 1347594 + 2108474 — 881910

12022320 kcal

C-103 Energy balance:-

63

Page 64: urea hmd

(see fig. 4—5)

CPCOH9 = 0.2 , CP NH

3 = 0,53 = 0.45 kcal/kgoC

= 218 x š3(130 —30) + 82 x ).2(130 —30)

+ 1916(539.9 + 0.45(130 - 30)

1137862 kcal

stream (10)

H10 = 11077[539.9 + 0.45(115 — 30)] + 36353 x 0.47(130 — 30)

10 = 7856470 kcal

64

Page 65: urea hmd

65

Page 66: urea hmd

* Heat of decomposition 500 x 477 238500 kcal/hrHeat of solution of urea 2108474 kcal/hr

Over energy balance:

H8 + HE109 = H10 + H9 + heat of decomposition

+ heat of solution of urea

QE109 =7856470 + 1137862 + 2108474 + 238500 —9352497

= 1,988,809 kcal/Hr

total heat added = QE107 + QE108 + QE109

= 121009534 + 1202J2O ÷ 1988809

26112082.4 kcal/hr

E110 Energy balance:

(see fig. 4—6)

H10 = 11077(80 —30) + 36353 X 0.431(80 —30)

1,337,257 kcal/hr

Heat removed by E110 H10 — H15 = 7856470 — 1337257

6519213 kcal/hr

66

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Crystallizer (E201 A & B) Energy balance:-

(see fig. 4—7)

cp(urea) = 0.397 at-50°C

= 0.417 at 70cc

= 0.431 at 80°c

H17 = H10 = 1337257 kcal/hr

H10= 327674 x 1(50 —30) + 93622 X 0.397(50 —30)

139870 kcal/hr

H23= 9352(70 —30) 37408() kcal./hr

H24 = 129799 X 0.417(70 —30) + 34492(70 — 30)

3544727 kcal/hr

Overall energy balance .

H17 + H31 + heat added from C104

H23 = H24 + heat of crystallization of urea

* Heat of crystallization of urea 110 x 42003 = 4620330 kcal/hr

heat from C104 374080 + 544727 + 4620330 - 13372 — 1398707 = 5803173 kcal/hr

Centrifuges (S201 A & B)energy balance:-

. see figure 4—8

H33 = H31 /0.95 = 1393707/095 = 1472323 kcal/hr

67

Page 68: urea hmd

H22= 0.05 H33 0.05 X 1472323 73616 kcal/ hr

H25 =H24 — H33=3544727 — 1472323 2072404 kcal/hr

Condenser E116 Energy balance:_

(see fig. 4—9)

H21 = 218 x 0.53(50 — 30) + 282

+ 4916 X 0.397(50 — 30)

= 44502 kcal/hr

Overall energy balance:

H9 + H22 = H21 + QE116

QE116 = —44502 + 1137862 + 73616

= 1166976 kcal/hr

which is the heat removed by adding water.

LOW PRESSURE DECOMPOSER E116 ENERGY BALANCE :

See fig 4 – 10

H20 = 4441 * 1(50 – 30 ) + 1427 * 0.525 (50 – 30 ) + 1880 * 0.2(50 – 30 ) + 4882 * 0.397 (50 – 30) = 150229.3 kcal /hr

Over all energy balance :

H7 + H21 = HINERT + H20 + QE115

H = 0.1 * 0.2 (50 – 30 ) + 25.8 * 0.525(50 _ 30) + 83 * 1 (50 _30)

= 1931 KCAL/hr

Q = 44502 + 95665 – 1931 – 150229

68

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= 11993 KCAL/hr

69

4

19

3

2 1460C

74 0C

NH3= 54155 Kg

NH3 , UREA , WATER ,

CARBAMATE

CARBAMATE

120 0 C

Page 70: urea hmd

Fig 4 – 1 energy balance A round the reactor

Fig 4 -2 ENERGY Balance Around Decomposer C 1 :

70

C 1014

5

6772 0C

Page 71: urea hmd

Fig4 – 4 c 102 energy Balance

71

72 0C

E 108

9

8

130 0 C

Page 72: urea hmd

Fig 4 – 5 C-103 ENERGY BALANCE

72

8

6

72 0 C

E - 107

165 0c

Page 73: urea hmd

Fig 4 – 3 Energy balance Around COOLER E 107

Fig 4 – 6 E- 110 Energy BALANCE

73

10

10

800C

1150C

E - 110

23

17

31

E – 201 A& b

Page 74: urea hmd

Fig 4 – 7 crystallizer energy balance

74

2470 0 c

24

33

70 0 C

50 0C

S – 201 A & B

Page 75: urea hmd

FIG 4 – 8 centrifuges energy balance

75

E – 116

50 0 C130 0 C

Page 76: urea hmd

Fig 4- 9 condenser energy balance

76

INERTS

E - 1157 21

500C

Page 77: urea hmd

Fig 4- 9 condenser energy balance

GHAPTER _ FIVE

77

20

500C

Page 78: urea hmd

THE DESIGN OF THE REACTOR

Chapter five :

Reactor design sheet :

For the reaction of 23105.5 kg/hr of carbon dioxide and 54155 kg/hr of ammonia to produce 36132 kg/hr of urea, make 32% of the reactor products. Operating Conditions:— Temperature = 458°K Pressure = 3515 psia Conversion 0.72 Reactor No. : R1Ol Reactor Type : Continuous stirred tank reactor Reactor Size : 3 Volume : 38 m Length : 15 m Diameter : 2 m Shell thickness : 80 mm Ends Type : hemispherical shape. Material of construction stainless steel (316

78

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SS)

CHAPTER FIVE: THE DESIGN OF THE REACTOR: 5—1 Introduction:— The aim in designing a reactor is to produce a specific product at a given rate from known reactants. In order to achieve the best design for the reactor, two most important, questions are to be settled: 1— the type of reactor to be used and whether its process is batch or continuous, and will the reactor operate isothermally or adiabatically ? 2- the physical, conditions of the reactants at the inlet of the reactor, such as pressure, temperature and compositions. Many requirements are satisfied by industrial chemical reactors: 1— chemical factors: involve kinetics of the reaction and sufficient residence time. 2— Mass transfer factors: with heterogeneous

79

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reactions the reaction rate may be controlled by rate of diffusion of the reacting species. 3— heat transfer factors: removal or addition of heat of reaction. 4— Safety factors: confinement of hazardous reactants and products and control of the reaction and process conditions. The characteristics to classify reactor designs are: 1— mode of operation: whether is batch or continuous. 2— Phases present: which determine whether the reaction is homogenous or heterogeneous3— Reactor geometry: whether the reactor is tubular, stirred tank, plug flow or back—mixed reactor. 5-2 Chemical kinetics & rate equations:- The rate of the reaction decreases as the concentrations of the reactants decrease. To calculate the size of the reactor we need to know how the rate of the reactor, at any time or at any point in the reactor, depends on the concentrations of the reactants. The •reaction rate also increases rapidly with increasing temperature. Determination of the rate equation is very important to design a reactor. 5—3 Design equation:— This equation gives the relationship between the volume of the reactor, reaction rate and flow rate of the limited reactant. Its determination depends on the type of the reactor used. 5—4Calculations of the reactor size:

80

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The calculations of the diameter and high of the reactor are shown in the following paragraphs:

5—4—1 Design and rate equation. The reactor Used in this project was continuous stirred tank reactor with design equation given by (5-1)

VF A O

= X

A−RA

where V = volume of reactants contained in the reactor [m] F AO

= flow rate of the limited reactant [kmol/sec]

X❑ = conversion of limited reactant (A) to

product A−R A

= rate of reaction [kmol/n1 .sec] Our reaction is a third order reaction which has a rate equation given by:

81

Page 82: urea hmd

A-r = k * C3AP

(1−X )3

¿¿¿ (5 _ 2)

where K is the equilibrium reaction constant

∑A

X = No .of moles of PRODUCT−No . of molesof of reactantsno of moles of reactants

and CAO initial concentration of the limited reaction [kmol/m I 5-4-2 Given data: a. The residence time for forming urea = 30 min = 30 x 60 1800 sec b. The conversion of limited reactant (carbon dioxide) to product (urea) was given as 0.72 = 0.72 c. Flow rate of CO2 23105.5 kg/hr = 23105.5 0.146 kmol/sec 44 x 3600 d. Reactor temperature = 185°c e. Reactor pressure 3515 psia 5-4—3 Calculation of q & E. :— From our reactions:

2NH3 + CO2 NH2 NH4CO2NH2

NH4CO2NH2 NH2CONH2 + H2O 2NH3 + CO2 NH2CONH2 + H2O

2 moles 1 mole 1 mole 1 mole Number of moles of reactants = 3 Number of moles of products = 2

EA = 2 −¿3

¿ 3 = - 13

To calculate C we have:

82

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PV nRT

P = N RTV = Crt

C = PRT

PCO2 = 3515 PSIA = 3515

14.7 * 101.3 = 24222.4 KN /M2

T = 146°c = 419°K R = 8.314 kmol/°K 3 CAO = 24222.415 = 6.95 kmol/m 419 x 8.314 5-4—4 Calculation of reaction constant (k):T o calculate the reaction constant (k) we need the residence time (t) and then the calculation was carried out according to the equation t = CAO X (5—3)

—rA (1 +EA XA)

from equation (5—2) 3

A-r = k cAO ¿¿

substitute equation (2) in equation (3) to give

t = CA 0

KC AO X A

3 (1+EA XA)3

(1−XA ) ¿¿

83

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OR K = XTCAO

(1+EA X A)

2

(1−X A )3

= 0.72(1 – 0.24) 2 1800 * (6.95)2 (1 – 0.72)3

Then from equation (5—1) we can calculate the volume as follows: —

V = F AO X A

−R =

F AO

KC AO X A

3 (1+EA X A)

3

(1−X )3

= 0.146 * 0.72 (1 – 0.24) 3 = 28.5 m3

0.00022 * [6.95(1- 0.72)]3

Assume the reactor is 75% full V = 28.5 = 38 m3 0.75 5—4-5 Determination of diameter and height:- For our reactor, a closed cylindrical tank with formed heads on both sides were used. For high pressure vessels a hemispherical end was used. Hence the total volume of the tank is given by the combination of shell volume with the volume of the equivalent Cylinder for the ends ,i.e.

v = π4 Di3 l + π

6 Di3 (5 – 4)

where V = total volume of he vessel = 38 m3 D = internal diameter of the vessel L = hight of the vessel Assume the value of L/D ratio = 8

V = x π4 * 8Di3 + π

6 Di3

4 6 = 13 π Di3 (5—5) 6

84

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Di = (6V/13 7c ) = (6 x 38/13 7c ) = 1.77 L = 1.77 x 8 = 14.2 m take Di = 2 m and L = 15 m

85

19

4

R - 101

Page 86: urea hmd

FIG 5 – 1 MATERIAL & ENERGY BALANCE AROUND REACTOR R – 101

86

2 3NH3

CO2 = 231055

hi

ho

Page 87: urea hmd

FIG 5 – 2 HEMISPHERICAL HEAD OF THE REACTOR R 101

5—5 Mechanical Design of The Reactor:— 5—5—1 Introduction:_ The basic data for mechanical design of a vessel are:— 1. vessel function 2. process materials and services 3. operating and design temperature and pressure

4. material of construction 5. vessel dimensions and orientation 6. type of vessel heads to be used 7. openings and connections required 8. specification of heating & cooling jackets or coils 9. type of agitator 10. specification of internal fittings. 5—5—2 Pressure, temperature & stress for design:— For vessels under internal pressure, the design pressure is taken as 5—10% above the working pressure, The working pressure P = 3515 Psia

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Design pressure = 1.1 x 3515 = 3-367 Psia A suitable margin for fluctuation was added to the temperature to get the design temperature. Working temperature = 185°c take design temperature = 200 The design stress f was given, by the relation f 1/s x minimum tensile strength at working temperature where s is a safety factor. 5—5-3 Material of construction:_ - The important characteristics to be considered when selecting the material of construction are:— 1. mechanical properties 2. the effect of the physical properties on the mechanical properties 3. corrosion resistance 4. availability in standard sizes 5. ease of fabrication 6. cost. To prevent corrosion by ammonium carbamate, stainless steel is used as a material of construction (304—se) is used below 130°C (316—SS) is used above 130’c Since our reactor was operated at 185 C, stainless steel (316) was used for its design. 5—5—4 Shell wall thickness calculations:_ The following relations were used to calculate the minimum thickness needed for the shell wall:

z7 = ((π /4 )PD 2 - W π t(DI + t )

Z = p(Di + t) /2t

Z = ( z2 – z z7 +z7)

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where f = design stress [ psia ] P = pressure [ psia ] t = shell thickness [in.] Di= internal diameter of. shell. [in.] w=total weight of vessel [ lb I z= longitudinal stress [ psia ] z = hoop stress [ psia ] -4]- = equivalent stress [ psia j For design the equivalent stress (n.) must not be greater than the design stress (f) f = 1/S x tensile strength S= safety factor taken as 1.4 The tensile strength for (316 stain—less steel) is 520 N/mm 75459 Psia. f = x 75459 = 53899 psia 1.4 The total equivalent weight of the reactor and its contents was given by W = Wv + Wf where Wv = weight of vessel

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Wf weight of fluid inside the reactor Wf = V vessel ,•is the density of mixture based on the outlet stream (i.e. stream 4). According to the table below-we can calculate the density of the mixture in stream (4), (see chapter 2).

Component [kgmole/m] xi

Co2

NH3

Urea

H2O

Carbonate

17.66

37.59

22.25

55.40

21.05

0.00

0.35

0.32

0.13

0.20

Tale (5-1): Analysj8 of Components in stream (4)

Molar e ∑ fi xi = 31.69 kgmol/ average molecular weig1t of mixture = 43.09 kg/kmol fmix = 31.6s X 43.09 = 1305 kg/kmol = 0.049

Vvessel = (π4

D2L) + π6 Di

Di = 2 m = 80 in, L = 15 in = 600 in.

Vvessel = [π4(80)2 x 600] + π

6 (8)3 = 3284011,5 in3

4 6 WF = 3284011.5 X 0.049 = 160916.56 lb

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WV = V * fsteel 489 lb/ft3 0.283 lb/in3 Vesteel = 7 L(D4 + t) = X 600(80 + t) W = V4 = 600(80 + t) x 0.283 = 533.44(80 + t) lb total weight W = 160916.56 + 33.44(80 + t)

.. from equations (5.6), (5.7) and (5.8)

z= [π/4)x3867 X 802 -160916.56 – 533.44(80 + t) π t(80 + t)

= [6135978.7 — 169.8(80 + t)] / [t(80 + t)] z = 3867(80 + t)/2t = 1933.5(80 + t)/t ze = (a — n.. + n. ) ° The thickness (t) was calculated by trial and error method to obtain the suitable amount of the equivalent stress ( Trials: Trail No. t[in.] z [psia]1 2.00 68691.623 2 2..50 55299.356 3 2.75 50433.68 4 3.00 46377.09

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minimum thickness required 2.75 in. 6.875 cm take reactor thickness 8 cm 5—5—5 Ends specjfjajo8: 9 Since the reactor wits operated at high pressure, hemispherical shape was used for designing the ends. It is the strongest shape, capable o resisting about twice the pressure of a torispherical head of the same thickness. The only disadvantage of the hemispherical heads was its forming cost, which is higher than the other shapes. For equal stress in the cylindrical section and hemispherical head of a vessel the thickness of the head need only be half that of the cylinder. The optimum thickness ratio is normally taken as 0.6. The thickness of the ends was, 8 x 0.6 = 4.8 cm take end thickness as 5 cm 5—5—6 Corrosion allowance:— Corrosion allowance should be based on experience with the material of construction. Stainless steel is very resistant to corrosion and needs no large allowance, we can take a corrosion allowance of 5mm for the purposes of this project. corrosion allowance = 0.5 cm 5—5—7 General observations:_ 1. Stainless steel is a very expensive material and may be economically Unacceptable for design, another material which

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can be used instead. Generally, carbon steel is the most commonly used engineering material and can be suggested instead of (316—ss). Carbon steel need corrosion allowance greater than stainless steel. 55

2. The reaction operates adiabatically and there is no cooling or heating system. 3. For the economical purposes, elliptical dished type can take - place of the hemispherical heads. 4. A scaled representation for the reactor and ends were shown in figure (5-3)&(5-2). 56

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94

5

585 * 10-2

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Fig 5 – 3 AVERICAL SECTION FOUR REACTOR R - 101

Chapter – six95

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Special task process control

CHAPTER SIX :-

SPECIAL TASK PROCESS CONTROL :-

6—1 Introduction: Control is accomplished by measuring the Cor1tIOi1ed variable and comparing this wits the desired value or et point, an adjusting the manipulated variable which has a direct effect on the controlled variable until the desired value is obtained Figure 6—1 & 6—2 Show Simple feed back control system.

96

D

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Fig 6 – 1 simple feeds back control system .

Fig 6 – 2block diagram for the system in fig 6 - 1

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* The measured value (B) is compared with the desired value (R) to produce an error ( ) such that R - B. The controller produces an output which a function of the magnitude • This is fed to control value in the steam line which make the necessary modif1catbon to satisfy the desired value. 6—2 Control- objective: We control in order to:— 1. keep the process variabe5 within the process limits 2. provide alarms and automatic shut—down systems 3. achieve the design product 0utpUt 4. maintain the product composition 0fl within the specified quality standards 5. operate at the lowest production cost, compared with the other objectives.

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In a typical chemical processing plant, these objectives are achieved by a combiflat0fl of automat control, manual monitoring and laboratory analysis

6—3 Typical con0j 6—3-1 Level control:-In any equip where an interface exists between two phac05 some means of maintaining the interface at the required level must be provided. This may be incorporated by automatic control of the flow from the equjp011 A typical for level Control is shown in figure. (6—3). Fig. 6—3

Level control

6—3—2 Pressure control

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1 : — It is necessary for most Systems handling vapour The method of control depends on the nature of the process Figure (6—4a&b) show typical Sc]1enes f pressure control

Fig. 6—4-b Pressure control of a Condenser by varying the heat transfer area.

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Fig. 6-4-a Venting of non- condensable after a Condenser

6—3-3 Flow control:-It is usually associated with inventory control in a storage tank or other equipmentTo provide flow Control at a fixed speed and supplying a near in fig. (6—5 a&b).

(6—5 a&b).

Flow control for a reciprocating pump.

101

fc

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Fig.6_5 b. Alternative scheme for a centrifugal compressor or Pump.

6—3—4 Temperature control:- it is necessary for most chemical system ha significant affect on phy0 and chemical Properties o product, reactor rate pressure, etc. Many devices are used for measuring temperature and each ha its own characteristics and liinitatio115._

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a) expansion thermometer b) change of state thermometer c) Instruments exploiting electrical phenomena d) radiation and optical pyrometers * Thermocouple is the most common type of the temperature control see fig. 6—6.

6—4 Reactor control:_ - The schemes used for reactor control depends on the proc33 and type of the reactor. If the reactor dynamics are suitable the product composjti0 can be monitored continuously and the reactor COfldjj015 and feed flows controlled automatically to maintain the desired product composjtI0 and Yield. Reactor temperature will normally be controlled by regulating the flow of the heating or cooling medium. Material balance will be necessary to maintain the correct flow of reactants to the reactor. reactor and the flow of products un reacted materials from the exit Stream. • There are three streams entering into the reactor, and one Stream (2) containing carbon dioxide from it8 source was coztro1led by measuring the pressure in the bottom of the reactor -S and accordingly adjusting the flow of inlet CO to the reactor.

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Stream (3) Containing ammonia from its source and from the recycled stream was controlled by regu1atjig globe valve for measuring the flow of ammonia. The exit stream (stream 4) was contro1ed by measuring the temperature in the top of the reactor. Stream (19) which is a recycled stream was controlled in the high pressure absorber and was entered to the reactor as a controllable stream.

Fig (6—7) shows a suggested control system for the reactor.

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105

carbamate

From high pressure absorber

R 101

Fc

2

pc

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REFERENCES 1. R.K.Sinnott Chemical Vol.6 (1983) 2. Coulson & Richardson Chem Eng Vol.3 (1979) 3. RH.Perry and C.Be1 Chem Eng. Ismail You Design of Urea Synthesis P1a Engineering stu for the degree of .Sc.(l984 5. Ib ElWaleed A1 Design of Urea Plant, year Project for the degree of B.sc.(1984 6. Encyclopedia of chemical Technology vol. 21

John Wiley & Sons (797

106


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