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    CONFIDENTIAL EH/JAN 2013/CHE604

    UNIVERSITI TEKNOLOGI MARAFINAL EXAMINATION

    COURSECOURSE CODEEXAMINATIONTIME

    PLANT DESIGN AND ECONOMICSCHE604JANUARY 20133 HOURS

    INSTRUCTIONS TO CA NDIDATES1 . This question paper consists of FIVE (5) questions.2. Answer ALL the questions only in the Answer Booklet. Start each answer on a new page.3. Do not bring any ma terial into the exam ination room unless perm ission is given by theinvigilator.4. Please check to make sure that this exa mination pack consists of:

    i) the Question Paperii) a one - page Append ix 1iii) a one - page Append ix 2iv) a one - page Append ix 3v) a one - page Append ix 4vi) a three - page Appendix 5vii) a one - page Append ix 6viii) a one - page Appendix 7ix) a one - page Appendix 8x) a one - page Appendix 9x i) a o ne -p ag e Appendix 10xii) an An sw er Book let - provided by the Faculty

    DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SOThis examination paper consists of 5 printed pages Hak Cipta Universiti Teknologi MARA C O N F ID E N T IA L

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    CONFIDENTIAL 2 EH/JAN 2013/CHE604

    QUESTION 1( P 0 1 . P 0 2 , C 0 1 . C 1 . C 4 )a) The process flow diagram (PFD) contains the bulk of the chemical engineering datanecessary for the design of a chemical process. For all of these diagrams, there is nouniversally accepted standard even though they convey very similar information.Describe the information that should be included in a typical comm ercial PFD

    (8 marks)b) A pipeline conne cting a separator and a tank contain six standard radius elbow , a globevalve that is half open and a gate valve that is fully open. The line is made of commercialsteel pipe with 30mm internal diameter and 130 m length. The viscosity of the fluid is0.62 mNM"2 and density is 874 kg/m 3. The steady state flow rate of the fluid in the

    pipeline is 4000 kg/h.i) Calculate the miscellaneou s losses of the pipeline (9 marks)ii) Using the equivalent pipe diame ters me thod, calculate the total pressure drop due tofriction during the steady state condition (3 marks)

    QUESTION 2( P 0 6 , C 0 1 . C 0 2 , C 3 .C 4 )

    A distil lation column is to be designed to separate the chemical mixture, whose molarcomposition and relative volatilities are given in Table 1 below. The feed is at its boilingpoint. Propane, C3 and iso-pentane, i-C5 are identified as the light and heavy keycomponents in the mixture.Table 1 Molar composition and relative volatilities of the chemical mixture

    PropaneIso-butaneN-butaneIso-pentaneN-pentane

    Feed (moles)155202535

    Distillate (moles)1551240

    Bottoms (m oles)0019135

    Relativevolatility2.65120.85

    a) Determine the minimum number of stages required for the separation using Fenskeequation. (3 marks)b) Evaluate minim um reflux ratio required using Underwood equation. (10 m arks) Hak Cipta Universiti Teknologi MARA C O N FI D E N T IA L

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    CONFIDENTIAL EH/JAN 2013/CHE604

    c) If the reflux ratio used is 4 , then determ ine the num ber of stages by using E rbar-Maddoxcorrelation. (3 marks)d) Using Kirkbride equ ation, determine the feed point location. (4 marks)

    QUESTION 3(P05, P06, C03, C5)

    Perform a Problem-Table analysis to estimate pinch temperature and synthesize a heatexchanger network (HEN) for the Reactor-Separator system shown in Figure 1 such thatthe resulting heat exchanger network requires minimum hot and cold util it ies. Assume theminimum approach tem perature is 20C. The units for the CP values are in SI .

    20C CP = 5 0Reactorfeed

    - H H W 160CReactor

    H)nI"* % CP=40

    l S C C ^ - ^ Overhead

    120CReactoreffluent

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    CONFIDENTIAL 4 EH/JAN 2013/CHE604

    QUESTION 4( P0 1 . P0 5 , P0 6 , C0 1 . C4 )a) Determ ine the bare module cost for a long tube evapo rator with the following operatingconditions for the year 201 2. Maximum operating pressure (tube side) = 40 barg Ma ximum operating pressure (shell side) = 5 barg Ma terial of construc tion = stainless steel Heat exchange area = 200 m 2

    (15 marks)b) Explain the difference betwe en direct costs, fixed costs and general expenses. G ive oneexample of each.

    (5 marks)QUESTION 5(P 01 .P0 2 , C04 , C4, C6 )

    a) The an nual variable production costs of a vinyl chloride plant is RM 980,000. This plantcurrently operates at 85% of full capacity. On top of that, the sum of annual fixedcharges, overhead costs and general expenses is RM700,000 and considered not tochange with the production rate. Total annual sales of the plant are RM1.96 million andthe product sell for RM 1 4,000 per tonne.i) Calculate the break-ev en point (8 marks)ii) Determ ine the gross annua l profit with depreciation (2 marks)iii) Determ ine the net annua l profit at 1 00% capacity if the incom e tax rate is 25% of grossprofit. (2 marks)b) A consultant company just finished with few alternative designs of processes to produceformaldehyde from methanol. Cost data for these alternatives are shown in Table 2.

    For all parts of this problem, assume that the required before-tax return on investment is1 5% per annum and the equipment life is considered to be 12 years.i) As the person-in-charge of doing the evaluation, do you recommend the construction ofthis plant using the base case design? (4 marks)ii) Th ere are two (2) alternative processes that require more expensive equipments, asindicated in Table 2. Recommend whether these two (2) alternatives profitable or not byusing incremental analysis. (4 marks) Hak Cipta Universiti Teknologi MARA CONFIDENTIAL

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    CONFIDENTIAL 5 EH/JAN 2013/CHE604

    Table 2 Details on projects considered

    Capital investmentAdditionalinvestmentAnnual productrevenueAnnual raw m aterialcostsAll other annu aloperating costs

    Base Case D esign(USD 106/year)11 .9

    -11 . 13.16

    0.299

    Project B(USD 106/year)-

    1.0211 .13.160.206

    Project C(USD 106/year)-

    0.511 .13.160.258

    END OF QUESTION PAPER

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    CONFIDENTIAL APPENDIX 1 EH/JAN 2013/CHE604

    TABLE 1.0 UNIT CONVERSION TABLE

    Quantity' MassLength

    Volume

    ForcePressure

    Energy

    Power

    Equivalent Valuest k g =* lOOOg = 0.QQ1 metr ic ton 22046215^= 35;27392ozllbfa = 16 pz .*=. 5 X l&f4. ton = 453j593ig = 0.453593 kgl m = 100 cm: 1000mm'== 1 06microns (fun) #= 10 1angstroms= 393 7 in. = 3.2808 ft - 1.0936 yd = O.0O06214mile1 ft = l 2 l m = l/3yd = 0304801 = 3048 011l m 3 = 1000 L = M ^cm 3 = 1 0 6 m L= 35.3145 ft3 = 220.83 imperial gaflon s= 264.17 gal= 1056.68 qt1 ft3 - 1728 in .3 = 7.4805 gal = 0.028317 m 3 = 28317 L= 28,317cm 3I N = 1 k g-m /s2 = 10s dynes - 10 5g-cm/s2 = 0.22481 lbf1 lb f = 32.174 Ibm-ft/s2 - 4A482.K = 4.4482 X W dynes1 arm = 1.01325 X 10 5 N/m 2 (Pa) = 101325 kPa = 1.01325 bar= 1M325X :10s dynes/cm2- 760m m H g at 0C (torr) == 10333 m H a O a t 4C= 146 96 Ibf/in^ (m ) = 33.9 ft H 2 0 a t 4C= 29.92 1in, Hg at 0C1J = lN-m = 107ergs = lQ 7dyne'Cm 2.778 X 10 ~ 7kW -h = 023901 cal= 0.7376 ft4bf = 9.486 X 1 0 ^ 4 B tu1 W = 1 J/s = 0.23901 cal/s = 0.7376 ft-lbf/a = 9.486 X i d * 4 Btu/s= 1.341 X 10~ 3 hp

    (A)

    ' . -

    *= i . c * * _ . _ / 2 .2 0 4 6 2 1 b m \Example: Th e factor to convert grams to lb m is _ ^ 1\ lOUQ g y

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    CONF IDENTIAL APPEN DIX 2 EH/JAN 2013/CHE604

    Table 1.1 Pipe roughnessMaterial Absolute roughness, mmDrawn tubingCommercial steel pipeCast iron pipeConcrete pipe

    0,00150.0460.260.3 to 3.0

    Table 1.2 Pressure losses in pipe fittings and valves (for turbulent flow)Fitting or valve K, number of number of equivalentvelocity heads pipe diameters45 standard elbow45 long radius elbow90 standard radius elbow90* standard long elbow90" square elbowTee-entry from legTee-entry into legUnion and couplingSharp reduction (tank outlet)Sudden expansion (tank inlet)Gate valve fully open1/4 open1/2 open3/4 openGlobe valve, bevel seat-fully open1/2 openPlug valve - open

    0.350.20.6-0.80.451.51.21.80.040,51.00.15164168.50.4

    151030-4023756090225507.580020040

    300450IS

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    @IIIH5

    oom

    9TJTJmzoXw

    mi>zOWOXma>o

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    CONFIDENTIAL APPEND IX 4 EH/JAN 2013/CHE604

    too

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    CONFIDENTIAL APPENDIX 5(1) EH/JAN 2013/CHE604

    USEFUL FORMULAE

    P = pMRT

    is m4 if

    A P , = 8 / pu

    Re Divp

    logN mm lOgOfLK

    E f V -+ I* - ' a,- - 6

    log AT, 0.2061og

    Class 1 estimate: +6% to -4 % accurate10. C = KA"

    11 . U vC V ^ W12. (T \

    K* XJ

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    CONFIDENTIAL APPENDIX 5(2) EH/JAN 2013/CHE604

    USEFUL FORMULAE

    12 .( A \C2 C j

    0.6

    \A b J( T \v A y

    13 . log10 FP=C,+ C2 log10 P + C3 (log10 P)2

    14. Cm=CP[B l+B2FPF u]15. log10 CP = Kx + K2 log10 A + K3(logw Af

    16. COMd = 0.180FC7 + 2.73COL + 1 . 2 3 ^ +CWT+CPM )17. D M 7 = 0 ^ + ^ + 0 ^ . + 1.33COL + 0.069FCI + 0.03COMd18. FMC = 0.708COi + 0.068FC7 + depreciation

    19. .EL40C = (Capital Inv estm ent) x ( , /, ne I + YOC

    20 . G = 0.1 llCn, + 0.009FCI + 0.16COM,'0Z,21. ( i + 0 n - i

    22 . F F = - F C 7 + C F x , i,

    23 . p . ^ ( 1 + Q - - l.^ J /! + /"

    24 . 8j~ sf coj25 . lS i = sjT_coi-dj26 . i ^=%a-eo27 4f = % + d /

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    CONFIDENTIAL APPENDIX 5(3) EH/JAN 2013/CHE604

    USEFUL FORMULAE

    28 .

    29 .

    30 .

    N PV = -FCIttcm + Net Revemte(PfAri*n)

    I1VP = Additional Investment+ [Annual Op erating Cost Base Armwd Operating Cost Jfl( / ^ Un)

    YearCEPCI

    2011585.7

    2010550.8

    2009521.9

    2008575.4

    2007525.4

    2006499.6

    2005468.2

    2004444.2

    2003402

    2002395.6

    2001394.3

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    Table A. l Equipment Cost Data to Be Used w ith Equation A. l {Continued)Equipment TypeDust Collectors

    Evaporators

    Fans

    Fitters

    > , ' * "

    o

    Furnaces

    Equipment DescriptionBaghouseCyclone scrubbersElectrostatic precipitatorVenhiri scrubberForced circulation (pump ed)Falling filmAgitated film (scraped wall)Short tubeLong tubeCentrifugal radia lBackward curveAxial vaneAxial tubeBentCartridgeDisc and drumGravityLeafFa nPlate and frameTableTubeReformer furnacePyrolysis furnaceNonreactive fired heater

    K*4.50073.6298&629S3.62985.02383.91195.00005,23664642035391334713.17613X11145,1055331074.81234,27563.8187481234,27565.10555.10553.06802385973488

    *z-0.5818-04991-0.4991-0.4991

    0.34750.86270.1490

    -0.6S7203698

    - 0 3 5 3 3-0.0734-0.1373- 0 3 3 7 5-05001-0.2403-0.7142-016480-0.3765-0.7142-O.64S0-03001-0.5001

    0.65970.9721

    - L 1666

    K t0.08130.04110.04W0.04110.0703

    -0.0088-0.0134

    035000.00250,447703090034140.4722000010OO270.04200,07140.01760.04200.07140.00010.00010O194

    -0O2O60.2028

    Capacity, UnitsVolum e, nv*Volume, m 3Volume, m 3Volume, m 3Area, m 2Area,m 2Area ,m 2Area,m JArea, in 1Gas flowrate, m J / sGas flowrate, m*/sGas flowrate, m 3 / sGas f lowrate, m VsArea rm 2Area, m 2Area,m*Area, m 2Arearm 2Area ,m 2Area ,m 2Area,m JArea ,m 1Duty,kWDuty,kWDuty,kW

    Min Size0-080.060.060.06

    550as10100

    1111

    0.915

    0.90,50,6OS0 50.90.9

    300030001000

    Max Size35 0200200200

    1000500

    5100

    10,000100100100100115200300

    8023 5300

    8011 5115

    100,000100,000100,000

    (continued) I

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    oozTable A.Z Pressure Factors for Process Equipment (Correlated from

    Equipment TypeCompressorsDrives

    Evaporators

    Fans*

    Fu rnaces

    Heat exchangers

    Equipment DescriptionCentrifugal, axial, rotary, and reciprocatingGas turbineIntern, comb, en gineSteam turbineElectricexplosion-proofElectrictotally enclosedElectricopen/drip-procrfForced circulation (pump ed), falling film,agitated film (scraped wall), short tube,and long tubeCentrifugal radial, a nd centrifugal backward curveAxial vane and axial tubeReformer furnacePyrolysis furnaceNonreactivefiredheaterScraped wail

    Teflon tube

    Data in Guthrie [ 1 , 2 } ,Q

    000000000.1578

    0G0000.140500.101700.134700.6072

    13.14670

    Q0000o.000-0.299200.2089900.208990

    - 026980

    -0.1957-P- 02368

    o-0.9120 *-12.6574

    0

    and Ulrich8000000000.1413

    0-0.03280

    -0.032800.129300.094030040210033273.07050

    [ 3 ] )Pressure Range (barg)

    -------

    P

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    CONFIDENTIAL APPENDIX 8 EH/JAN 2013/CHE604

    Table A.5 Equations for Bare Module Costai tdA.4

    for Equipment Not Covered by Tables A.3

    Equipment Type Equation for Bare Module CostComp ressors and blowers without drivesDrives for comp ressors and blowersEvaporators and vaporizersFans with electric d rivesFired heaters and furnaces

    Power recovery equip meitlSieve trays, valve trays, anddemister pad s

    T ower packing

    FTfeQm saperheatisee&in jfcdorfarsteamlaereCF r - 1 far f c h e a J e a ^and is given byFT - 1 + 0.0Q1MAT- 0.00000335(aT)1

    where ATk the amount of supedwat in "C

    Where W is Ihe number of toys and F , is aquantity factor far (raysoaky given fey ->-logu F U 0.4771 + 0.08516Iog3() N -0.l4730ogwN)Jf6rN

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    Table A.6 Iden tificatio n of Materia l Factors for Equipme nt Listed in Table A.5 to Be Used with FigureIdentification Number

    1234567891011121314IS161718192021222324 ' *"

    Equipment TypeCompressors/blowers

    Drives for compressors and blowers-

    Evaporators arid vaporizers

    *v"*-

    Equipment DescriptionCentrifugal comp ressor or blowerCentrifugal comp ressor or blowerCentrifugal com pressor or blowerAxial compressor or blow erAxial compressor or blowerAxial compressor or blow erRotary compressor or b lowerRotary compressor or blower Rotary compressor or b lowerReciprocating compresso r or blowerReciprocating com pressor o r blowerReciprocating compressor or blowerEiexmo"-*explosioxipjorElectrictotally enclos edElectricopen/dripproofGas turbineSteam turbineInternal combustion engineEvaporatorforced circ> short or longtubeEvaporatorforced ar c, short or long tubeEvaporator-^faroed circ, short or long tubeEvaporatorforced circ, short or long tubeEvaporatorforced cir c short or long tube -Evaporatorfalling film, scraped-wall

    A.19Material of ConstructionCSSS *Ni alloyCSSSNi alloyCSSSNi alloyCSSSNi alloyzOWOIm

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    CONFIDENTIAL APPENDIX 10 EH/JAN 2013/CHE604

    Table 9.1 Commonly Used Factors for Cash Flow Diagram C alculationsConversion Symbol Common Name Eq. No. Formula

    P to F (P[P, i, n) Single Payment Compo und Amo untFactorF to P (PIP, i, n) Single Payment Present Worth FactorA to F (F/A, i, n) Uniform Series Compound AmountFactor, Future Worth of AnnuityFtoA (A/F,i,n) Sinking Fund FactorP to A (AJP, i, n) Capital Recovery FactorA to P (P/A, i, n) Uniform Series Present W orth Factor,Present W orth of Annuity

    (9.5)(9.6)(9.11)(9.12)(9.13)(9.14)

    (1 + 0"1

    (l + 0"(1 + if - 1

    ii

    (1 + 0" - 1i(i + 0"

    . ( i + 0" - 1(l + 0" - 1

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