BT Chung Da Cau Tu_Nha

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    Bi tp chng ct a cu t

    SVTH: Nguyn Ngc Nha Lp 08H5A Page 1

    Bi ton 1 :

    xheptane 0 0.08 0.18 0.25 0.49 0.65 0.79 0.91 1.0

    yhe tane 0 0.28 0.43 0.51 0.73 0.83 0.90 0.96 1.0

    Hl (kJ/kmol) x 10-3

    24.3 24.1 23.2 22.8 22.05 21.75 21.7 21.6 21.4

    Hv (kJ/kmol) x 10-3 61.2 59.6 58.5 58.1 56.5 55.2 54.4 53.8 53.3

    1. 2. 3. 4.

    Bi lm

    MHeptane = 100

    MEthyl benzene = 106

    MA = 0.42*100 + 0.58*106 = 103,42

    ,42 = 9.6693 kmol/hr

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    Gian x-y

    0

    0,1

    0,2

    0,3

    0,4

    0,5

    0,6

    0,7

    0,8

    0,9

    1

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

    x

    y

    Gian H-x-y

    -50

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

    x-y

    H,

    kJ/kmol.10-3

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    zA = 0.42

    hA = 22.3*103

    kJ/kmol ( -- )

    xD = 0.97

    hD = 21.537*103

    kJ/kmol --

    xR = 0.01

    hR = 24.276*103

    kJ/kmol --

    1. E, LA, VA, PRQC

    E, RQC A, VA, R E D RQC).

    VA -- -y.

    xA 4 A* 67 VA (0.67; 56.897*10

    3)

    Q'C = 98.439*103

    (kJ/kmol) -x-y)

    PE = -34.4537*103

    (kJ/kmol) -x-y)

    H1 = 53.705*103

    (kJ/kmol) -x-y)

    1

    1

    'c

    D

    Q HR

    H h

    391,1537,21705,53705,53439,98

    min R

    2. s

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    - 7.

    3. s .

    5,2537,21705,53

    705,53'

    c

    QR

    Q'C = 134.12*103

    (kJ/kmol)

    Gian x-y

    0

    0,1

    0,2

    0,3

    0,4

    0,5

    0,6

    0,7

    0,8

    0,9

    1

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

    x

    y

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    - xy :

    Gian x-y

    0

    0,1

    0,2

    0,3

    0,4

    0,5

    0,6

    0,7

    0,8

    0,9

    1

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

    x

    y

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    7

    4. C A = 9.664 (kmol/hr)

    :

    A = D + R

    A.zA = D.xD + R.xR

    RDRD

    .01,0.97,042,0.664,9

    664,9

    Suy ra :

    D = 4.127 (kmol/hr)

    R = 5.537 (kmol/hr)

    :

    A.hA = D.Q'C + R.QR

    9.664.22,3.103

    = 4,127.134,12.103

    + 5.537.QR

    QR = -61.057*103

    (kJ/kmol)

    Ta c :

    Q'C = hD + QC / D

    QR = hRQR / R

    134,12.103

    = 21,537.103

    + QC / 4,1272

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    QC = 496,711.103

    (kJ/hr) = 137,98 (kW)

    -61.057.103

    = 24,27584.103QR / 5,537

    QR = 472,445.103

    (kJ/hr) = 131,23 (kW)

    C : QC = 137,98 (kW)

    C : QR = 131,23 (kW)

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    Bi ton 2 C n GO c d = 0.870 v b t ASTMsau:

    ASTM PI 10% 30% 50% 70% 90% PF

    T (oC) 215 225 240 265 280 295 320

    1. Xy d ng cong TBP2. Xy d ng cong FC

    Bi lm

    1. Xy d ng cong TBP:Ta c :

    T50 = 265o T50(TBP-ASTM) = 11oC 50(TBP) = 265 + 11 = 276

    oC

    T50-70(ASTM)= 280265 = 15 oC 50-70(TBP) = 22

    oC

    70(TBP) = 276 + 22 = 298oC

    T70-90(ASTM)= 295280 = 15 oC70-90(TBP) = 19

    oC

    90(TBP) = 298 + 19 = 317oC

    T90-PF(ASTM)= 320295 = 25 oC 90-PF(TBP) = 27

    oC

    PF(TBP) = 317 + 27 = 344oC

    T30-50(ASTM)= 265240 = 25 oC 30-50(TBP) = 36

    oC

    30(TBP) = 276 - 36 = 240oC

    T10-30(ASTM)= 240225 = 15 oC 10-30(TBP) = 27

    oC

    10(TBP) = 240 - 27 = 213oC

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    TPI-10(ASTM)= 225215 = 10 oC PI-10(TBP) = 22

    oC

    PI(TBP) = 213 - 22 = 191oC

    T kt qu tnh ta c bng sau :TBP PI 10% 30% 50% 70% 90% PF

    oC 191 213 240 276 298 317 344

    2. Xy d ng cong FC:Ta c :

    T50(ASTM) = 265oC v T30T10 = 15oC 50(FC-ASTM) = 12

    oC

    50(FC) = 265 + 12 = 277oC

    T50-70(ASTM)= 15 oC 50-70(FC-ASTM) = 7

    oC

    70(FC) = 277 +7 = 284oC

    T70-90(ASTM)= 15 oC 70-90(FC-ASTM) = 6

    oC

    90(FC) = 284 + 6 = 290oC

    T90-PF(ASTM)= 25 oC 90-PF(FC-ASTM) = 8

    oC

    PF(FC) = 290 + 8 = 298oC

    T30-50(ASTM)= 25 oC 30-50(FC-ASTM) = 14oC

    30(FC) = 277 - 14 = 263oC

    T10-30(ASTM)= 15 oC 10-30(FC-ASTM) = 8

    oC

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    10(FC) = 263 - 8 = 255oC

    TPI-10(ASTM)= 10 oC 0-10(FC-ASTM) = 3

    oC

    0(FC) = 255 - 3 = 252oC

    T cc kt qu c ta c bng sau :FC PI% 10% 30% 50% 70% 90% PF%oC 252 255 263 277 284 290 298

    Ta c bng tng k ng cong:PI% 10% 30% 50% 70% 90% PF%

    ASTM (oC) 215 225 240 265 280 295 320

    TBP (oC) 191 213 240 276 298 317 344

    FC (oC) 252 255 263 277 284 290 298

    Xy d th t ng cong trn:

    185

    205

    225

    245

    265

    285

    305

    325

    345

    0 20 40 60 80 100

    T(oC

    )

    %V

    ng cong chng ct ca GO

    ASTM

    TBP

    FC

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    Bi ton 3: Ti n hn hp sau p sut 10atm

    Cu t C2 C3 iC4 nC4 iC5 nC5(mol) 8 22 14 24 10 22

    Bit nhi nhp liu l 65oC Yu cu v sn phm:

    N propan sn ph Pentan ph c sn ph t l 99% t ng

    pentan trong hn hp X nh Nmin v Rmin X nh s bc l thuyt N theo R hp l:

    Bi lm

    1. Chun b dkin v cc gi thit:-Chn cu t kha

    +Cu t kha nh CV: C3

    +Cu t kha nng CL: iC5

    -Gi thit s phn b n +C2 khng c +iC4 l cu t trung gian nh, phn bnh nhi

    +nC4 l cu t trung gian nng, phn bu

    +C5 tng (nC5 +iC5) phn b % u cho hai cu t

    bi, ta c:

    99,0)(5

    )(5

    A

    R

    C

    C

    M 5(A) = 32 (mol)

    5(R) = 31,68 (mol)Gi x l s mol C3(R).

    Ta gi s: thnh phn iC4 v nC4 phn b

    iC4(R) = 5(mol), iC4(D) = 9(mol)

    nC4(R) = 12(mol), nC4(D) = 12(mol)

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    4(R) = 17 (mol)

    )(492,0

    01,0

    )(4)(5

    molxCCx

    x

    RR

    Li c: C5 tng (nC5 +iC5) phn b % u cho hai cu t, nn thnhphn ca iC5 v nC5 c phn b

    iC5(D) = nC5(D) = )(16,032.2

    01,0.

    2

    01,0)(5 molC A

    iC5(R) = 100,16 = 9,84 (mol)

    nC5(R) = 220,16 = 21,84 (mol)Bng gi thit phn b n :

    Cu tNguyn liu Sn ph nh Sn ph

    Mol Phn mol Mol Phn mol Mol Phn mol

    C2(V) 8,00 0,08 8,00 0,157 0,00 0,00

    C3(CV) 22 0,22 21,51 0,423 0,492 0,01

    iC4(iV) 14 0,14 9 0,177 5,00 0,102

    nC4(iL) 24 0,24 12 0,236 12 0,244

    iC5(CL) 10 0,1 0,16 0,003 9,84 0,2

    nC5(L) 22 0,22 0,16 0,003 21,84 0,444

    Tng 100 1 50,83 1 49,18 1

    i

    Ly gi tr trung bnh ti 3 v p liu

    Ti mi v tr cn bit nhi , t hng s cn bng pha v tnh i

    Ch : tnh theo cu t kha nng iC5

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    T nh thp:

    Nhi t nh l nhi a hn h nh

    Cu tNhi gi thit l nhi oC

    yi=xiD Ki xi=yi/Ki iD=Ki/KCLC2(V) 0,157 4,4 0,036 16,296

    C3(CV) 0,423 1,55 0,273 5,741

    iC4(iV) 0,177 0,74 0,239 2,741

    nC4(iL) 0,236 0,56 0,422 2,074

    iC5(CL) 0,003 0,27 0,012 1

    nC5(L) 0,003 0,21 0,015 0,778

    Tng 1 0,996

    T :

    Nhi m si ca hn h

    Cu tNhi gi thit l nhi m si t=102 oC

    yi=xiR Ki yi=xi.Ki iR=Ki/KCL

    C2(V) 0 7,2 0 9,231

    C3(CV) 0,01 3,05 0,030 3,91

    iC4(iV) 0,102 1,71 0,174 2,192

    nC4(iL) 0,244 1,42 0,347 1,821

    iC5(CL) 0,2 0,78 0,156 1

    nC5(L) 0,444 0,67 0,298 0,859

    Tng 1 1,005

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    T p liu:

    Nhi np liu theo gi thit l 65 oC

    Ti nhi ny ta tnh % b cn bng pha

    Cu t Zi Ki Gi s V=25% ti t=65 oc

    1+Ki/3 Li=100.Zi/(1+Ki/3) Xi F

    C2(V) 0,08 5,2 2,733 2,927 0,039 13,684

    C3(CV) 0,22 1,95 1,65 13,333 0,178 5,132

    iC4(iV) 0,14 0,93 1,31 10,687 0,143 2,447

    nC4(iL) 0,24 0,76 1,253 19,149 0,256 2,00

    iC5(CL) 0,1 0,38 1,127 8,876 0,118 1,00

    nC5(L) 0,22 0,31 1,103 19,94 0,266 0,816

    Tng 1 74,911 1

    Bng tng kt s li

    Cu t F iD iR i

    C2(V) 13,684 16,296 9,2311 12,721

    C3(CV) 5,132 5,741 3,91 4,866

    iC4(iV) 2,447 2,741 2,192 2,45

    nC4(iL) 2 2,074 1,821 1,962

    iC5(CL) 1 1 1 1

    nC5(L) 0,816 0,778 0,859 0,817

    2. X nh Nmin theo cng thc Fenske:Kim tra gi thit phn b n bng cch gii h Fk t cho

    tng cu t khc nhau

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    Gi a l s mol iC5 trong sn ph nh thp, ta c

    Cu t nh

    iC5(mol) a 10-a

    nC5(mol) 0,32-a 21,68+a

    Cng th Fk c vi di dng

    min)(N

    ij

    iR

    jR

    jD

    iD

    x

    x

    x

    x

    Vit cng thc Fenske ln t cho cc cp cu t sau:

    +C3 v iC5:

    min)866,4(10

    5,0

    5,21 N

    a

    a

    +C3 v nC5:

    min)82,0

    866,4(

    32,0

    68,21

    5,0

    5,21 N

    a

    a

    Gii h ta c: Nmin = 4,931, a= 0,176Cu t nh

    iC5(mol) 0,176 9,824

    nC5(mol) 0,144 21,856

    Gi b l s mol C2nh,vit cng thc Fenske cho C2 v iC5

    9206,4

    )721,12(176,0

    824,9

    8

    b

    b

    Gi c b =7,998

    Gi c l s mol iC4nh ,vit cng thc Fenske cho iC4 v iC5

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    9206,4)450,2(

    176,0

    824,9

    14

    c

    c

    Gii ra c c = 8,365

    Gi d l s mol ca nC4nh,vit cng thc Fenske cho nC4 v iC5

    9206,4)962,1(

    176,0

    824,9

    24

    d

    d

    Gi c d= 7,962

    Bng phn b n c

    Cu t Nguyn liu Sn ph nh Sn ph Mol Phn mol Mol Phn mol Mol Phn mol

    C2(V) 8 0,08 7,998 0,173 0,002 0

    C3(CV) 22 0,22 21,508 0,466 0,492 0,009

    iC4(iV) 14 0,14 8,365 0,181 5,635 0,105

    nC4(iL) 24 0,24 7,962 0,173 16,038 0,298

    iC5(CL) 10 0,1 0,176 0,004 9,824 0,182

    nC5(L) 22 0,22 0,144 0,003 21,856 0,406

    Tng 100 1 46,154 1 53,846 1

    S sai khc gia kt qu tnh ton vi gi thit phn b n u khngln lm trng hp ca nC4 l cu t trung gian, ta khng c yucu cht ch. Mt khc gi tr phn b n k i k nhi si ca hn hp t nh v t y cth s dng s liu phn b n v gi tr c m khng cn phitnh lp li.

    3.Tnh t s h ti thiu Rmin:

    S dng cng thc Maxwell tnh Rmin ng hp bin ca trng thi npli R ng vi hn hp nguyn liu

    Nhp liu dng lng: cu t nh u t kha nh C2 = 8% => Nhp liu 8% 92% lng

    Nhp liu d u t n u t kha nng l pha lngnC5 = 22% => Nhp liu 78% % ng

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    Tnh cc gi tr l:

    Cu t Zi Nhp liu dng lng Nhp liu d

    %b l %b l

    C2(V) 0,08 12,721 8 0,063

    78

    0,063

    C3(CV) 0,22 4,866 2,2 0,452

    iC4(iV) 0,14 2,45 1,4 0,571

    nC4(iL) 0,24 1,962 0,917 0,37

    iC5(CL) 0,1 1

    nC5(L) 0,22 0,817 1 1

    X nh Rmin cho trng thi np liu dng lng:

    4368,0

    4368,1

    )003,01

    467,0(

    817,0866,4

    817,0

    )172,0917,0

    467,0(

    962,1866,4

    962,1

    )004,0.4,1181,0(145,2

    45,2

    )004,0.063,0174,0(1721,12

    721,12

    004,02,2

    467,0

    1866,4

    12,2.866,41

    %8min

    %8min

    R

    R

    X nh Rmin cho trng thi np liu dng

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    169,1

    161,2

    )003,01

    467,0(

    817,0866,4

    817,0

    )172,0370,0

    467,0(

    962,1866,4

    962,1

    )004,0.571,0181,0(145,2

    45,2

    )004,0.063,0174,0(

    1721,12

    721,12

    004,0452,0

    467,0

    1866,4

    1452,0.866,41

    %78min

    %78min

    R

    R

    X nh Rmin cho trng thi np liu thc t vi 25% b

    6153,0

    )878(

    )825).(4368,01717,1(4368,0

    %25min

    %25min

    R

    R

    X nh s bc l thuyt N theo R hp l:

    Gi sR c gi tr fR theo cng thc

    1

    R-R=f min

    RR

    T fR th ca Gilliland:

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    Ta c

    )(1

    )(

    1)(

    min

    min

    Nf

    NNfN

    N

    NNNf

    c bng s liu sau:

    R R - Rmin fR f(N) f(N) + Nmin N N.(R+1)

    0.8 0.187 0.104 0.5 5.431 10.862 19.55

    1 0.387 0.193 0.44 5.371 9.591 19.18

    1.2 0.587 0.267 0.39 5.321 8.723 19.19

    1.4 0.787 0.328 0.35 5.281 8.124 19.50

    1.6 0.987 0.379 0.33 5.261 7.852 20.42

    1.8 1.187 0.424 0.31 5.241 7.595 21.27

    2 1.387 0.462 0.25 5.181 6.908 20.72

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    V th : N.(R+1) - N

    D th, chn N = 9

    N.(R+1) = 19,2 => R = 1,133

    19.00

    19.50

    20.00

    20.50

    21.00

    21.50

    6.000 7.000 8.000 9.000 10.000 11.000

    N.(

    R+1)

    N

    Chn N ti u

    Chn N ti u