Ejercicio Gpm (1)

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    Determine the maximum available liquid products and heating value (gross) from a gas of c

    NOTE !hen heptanes plus concentration is this low" the molecular weight and specific gra

    *g +,,-/D0 ''&

    12- O,3O-4T4ON

    O,3ONENT- O,3O-4T4ON" (mole fraction)

    O5 &.&%6

    N5 &.&&'5

    % &.%&5

    5 &.%78

    ' &.&7%

    i98 &.&&:;

    n98 &.&%;8

    i97 &.&&'8

    n97 &.&&5

    6 &.&&5

    < &.&&&'

    TOT2= %.&&&&

    13, 2=$=2T4O

    O,3ONENT >? ,? +lblbmol0

    O5 &.&%6 88.&%&&

    N5 &.&&'5 5:.&%'7

    % &.%&5 %6.&85&

    5 &.%78 '&.&6;&

    ' &.&7% 88.&;6&

    i98 &.&&:; 7:.%55&

    n98 &.&%;8 7:.%55&

    i97 &.&&'8 5.%8;&

    n97 &.&&5 5.%8;&

    6 &.&&5 :6.%7&

    < &.&&&' %&'.&&&&

    %.&&&&

    ,! 12- +lblbmol0 55.6%%

    -1 12- +adim0 &.:&

    13, 12- +gal,,scf0 .8:8

    0,3151 j j

    j

    oj

    y M galGPM

    MMScf

    =

    cideal j cjjL y L=

    2

    1 1j jjz y z= cideal

    crealLL =

    Col

    Ch

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    @E2T4N1 A2=$E 2=$=

    O,3ONENT >?

    O5 &.&%6 &.&

    N5 &.&&'5 &.&

    % &.%&5 %&%&.&5 &.%78 %6;.

    ' &.&7% 57%6.5

    i98 &.&&:; '575.&

    n98 &.&%;8 '565.8

    i97 &.&&'8 8&&&.;

    n97 &.&&5 8&&:.

    6 &.&&5 876.&

    < &.&&&' 77&5.7

    %.&&&&

    B real gas +adim0 &.;;7:

    =c real gas +CT$scf0 1O-- %'5%.8:'&

    =c? +CT$scf01O--

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    omposition given below.

    vit# cannot be measured. $se %&' lblbmol and &"

    >?,? +lblbmol0 -1 =4*$4D +adim0 13,?

    &.'7&

    &.&:;6

    %%.';'&

    8.'5; &.'768 8.%:8%

    '.'%%6 &.7&8 5.&766

    &.7%' &.76'& &.5:;7

    %.%56 &.7:8% &.6&:'

    &.587' &.6586 &.%5':

    &.%;8: &.6'%% &.&;'

    &.5'5 &.668& &.%%&8

    &.&'&; &.&&& &.&%';

    55.6%&6 .8:':

    umn A Table Props. GPSA

    ap. 23

    Col

    23

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    2T4ON

    >?=c? B?

    &.&&&& &.;;8' %.56E9&'

    &.&&&& &.;;; 7.78E9&7

    %.'&5& &.;;:& '.%:E9&55:.77&: &.;;%; %.85E9&5

    %::.;666 &.;:57 ;.;'E9&'

    5:.;85: &.;%% %.7%E9&'

    6'.5;&6 &.;66 '.78E9&'

    %'.6&'% &.;8:& .7E9&8

    %&.:5'7 &.;85& 6.7&E9&8

    %5.:8%5 &.;%&& :.%&E9&8

    %.67&: &.:75& %.%7E9&8

    %'%7.;%' &.&686

    1j j

    y zColumn K. Table Props.GPSA Chap. 23

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    Determine available liquid products" heating value (gross) and shrin

    NOTE !hen heptanes plus concentration is this low" the molecular

    *g +,,-/D0 ''&

    12- O,3O-4T4ON

    O,3ONENT- O,3O-4T4ON" (mole fraction)

    O5 &.&%6N5 &.&&'5

    % &.%&5

    5 &.%78

    ' &.&7%

    i98 &.&&:;

    n98 &.&%;8

    i97 &.&&'8

    n97 &.&&5

    6 &.&&5

    < &.&&&'TOTAL 1.0000

    omplete recover# of these products is not feasible. ecover# efficie

    O,3ONENT EOAE> E// +F0

    5 7957

    ' :&9;&

    i98 ;7

    n98 %&&

    7< %&&

    O,3ONENT >?

    O5 &.&%6

    N5 &.&&'5

    % &.%&5

    5 &.%78

    ' &.&7%

    i98 &.&&:;

    n98 &.&%;8

    i97 &.&&'8

    n97 &.&&5

    6 &.&&5

    0,3151 j j

    j

    oj

    y M galGPM

    MMSc

    =

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    < &.&&&'

    1.0000

    ,! 12- +lblbmol0

    -1 12- +adim0

    13, 12- +gal,,scf0

    O,3ONENT >?

    O5 &.&%6

    N5 &.&&'5

    % &.%&5

    5 &.%78

    ' &.&7%

    i98 &.&&:;

    n98 &.&%;8

    i97 &.&&'8

    n97 &.&&5

    6 &.&&5

    < &.&&&'

    1.0000

    B real gas +adim0

    =c real gas +CT$scf0 1O--

    *g +,,-/D0

    @@A +CT$scf0

    -@4NG21E +CT$d0

    cideal jjL y=

    ( )2

    1 1j jjz y z= crealL

    ( * ) ( *gi i gfShrinkage Q HHV Q=

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    age from a gas of composition given below.

    eight and specific gravit# cannot be measured. $se %&' lblbmol and &"

    ncies in a relative simple plant are below.

    EOAE> E// +F0 -E=ET

    57

    ;&

    ;7

    %&&

    %&&

    13, 2=$=2T4O

    ,? +lblbmol0 >?,? +lblbmol0

    88.&%&& &.'7&

    5:.&%'7 &.&:;6

    %6.&85& %%.';'&

    '&.&6;& 8.'5;

    88.&;6& '.'%%6

    7:.%55& &.7%'

    7:.%55& %.%56

    5.%8;& &.587'

    5.%8;& &.%;8:

    :6.%7& &.5'5

    Column A Table Props. GPSAChap. 23

    Column E Table Props.GPSA Chap. 23

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    %&'.&&&& &.&'&;

    22.6106

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    55.6%% %:.:'8

    &.:& &.68;

    .8:8 8.%56

    @E2T4N1 A2=$E 2=$=2T4ON

    !4T@O$T =4*$4D EOAE>

    >?=c?

    &.& &.&&&&

    &.& &.&&&&

    %&%&.& %.'&5&

    %6;. 5:.77&:

    57%6.5 %::.;666

    '575.& 5:.;85:

    '565.8 6'.5;&6

    8&&&.; %'.6&'%

    8&&:. %&.:5'7

    876.& %5.:8%5

    77&5.7 %.67&:

    1315.9713

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    &.;;7: &.;;'

    %'5%.8:'& %%&:.6:;6

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    ''&.&&&& 5:5.7%8

    %'5%.8:'& %%&:.6:;6

    %55:6:.''5

    =c? +CT$scf01O--

    cj

    cidealL

    Z

    )fHHV100

    gi f

    gf

    Q nmolQ =

    Column K. Table Props.GPSA Chap. 23

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    N

    -1 =4*$4D +adim0 13,? 4DE2= 13,? E2= E-4D$E +mol0 >? E-4D$E

    %.6&& &.&%;7

    &.'5&& &.&&'

    %.&5&& &.:5;6

    &.'768 8.%:8% %.&86& %%.:&7& &.%';

    &.7&8 5.&766 %.:7%& &.7%& &.&&::

    &.76'& &.5:;7 &.57% &.&887 &.&&&7

    &.7:8% &.6&:' &.6&:' &.&&&& &.&&&&

    &.6586 &.%5': &.%5': &.&&&& &.&&&&

    &.6'%% &.&;' &.&;' &.&&&& &.&&&&

    &.668& &.%%&8 &.%%&8 &.&&&& &.&&&&

    GPMj real= GPMj ideal*Reo!er"E# $%ra&ion'

    Assume Calula&ion (ase)++ mol

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    &.&&& &.&%'; &.&%'; &.&&&& &.&&&&

    7.4838 4.1257 85.6105 1.0000

    !4T@ =4*$4D EOAE>

    B? >? E-4D$E >?=c?

    &.;;8' %.56E9&' &.&%;7 &.&&&& %.8E9&'

    &.;;; 7.78E9&7 &.&&' &.&&&& 6.8E9&7

    &.;;:& '.%:E9&5 &.:5;6 :'.:66; '.%E9&5

    &.;;%; %.85E9&5 &.%'; 588.&58 %.58E9&5

    &.;:57 ;.;'E9&' &.&&:: 55.&5: %.%6E9&'

    &.;%% %.7%E9&' &.&&&7 %.6;&8 :.:8E9&7

    &.;66 '.78E9&' &.&&&& &.&&&& &.&&E

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    >?,? E-4D$E +lblbmol0

    &.:7:7

    &.%&8

    %'.'&:&

    8.%86'

    &.':6:

    &.&'&5

    &.&&&&

    &.&&&&

    &.&&&&

    &.&&&&

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    &.&&&&

    18.8345

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    /ind the 13, of the gas mixture with composition showed below. /ind

    !hat is the shrinage value of the gasH

    *g +,,-/D0 ''&

    12- O,3O-4T4ON

    O,3ONENT- O,3O-4T4ON" (mole fraction)

    O5 &.&'&&N5 &.&%&&

    % &.:7&&

    5 &.&7:&

    ' &.&'&&

    i98 &.&&&

    n98 &.&&:&

    i97 &.&&'&

    n97 &.&&5&

    6 &.&&5&

    < &.&&&&TOTAL 1.0000

    omplete recover# of these products is not feasible. ecover# efficienc

    O,3ONENT EOAE> E// +F0

    5 80-90

    ' 90-98

    i98 90-100

    n98 90-100

    7< 100

    O,3ONENT >?

    O5 &.&'&&

    N5 &.&%&&

    % &.:7&&

    5 &.&7:

    ' &.&'

    i98 &.&&

    n98 &.&&:

    i97 &.&&'

    n97 &.&&5

    6 &.&&5

    0,3151 j j

    j

    oj

    y M galGPM

    MMSc

    =

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    < &

    1.0000

    ,! 12- +lblbmol0

    -1 12- +adim0

    13, 12- +gal,,scf0

    O,3ONENT >?

    O5 &.&'&&

    N5 &.&%&&

    % &.:7&&

    5 &.&7:&

    ' &.&'&&

    i98 &.&&&

    n98 &.&&:&

    i97 &.&&'&

    n97 &.&&5&

    6 &.&&5&

    < &.&&&&

    1.0000

    B real gas +adim0

    =c real gas +CT$scf0 1O--

    *g +,,-/D0

    @@A +CT$scf0

    -@4NG21E +CT$d0

    cideal jjL y=

    ( )2

    1 1j jjz y z= crealL

    ( * ) ( *gi i gfShrinkage Q HHV Q=

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    the @@A of the feed gas and the @@A of the residue gas.

    O,3O-4T4ON" (mol)

    '%

    :7

    7.:

    '

    &.

    &.:

    &.'

    &.5

    &.5

    &100.0000

    ies in a relative simple plant are below.

    EOAE> E// +F0 -E=ET

    ;&

    ;:

    ;;

    ;;

    %&&

    13, 2=$=2T4

    ,? +lblbmol0 >?,? +lblbmol0

    88.&%&& %.'5&'

    5:.&%'7 &.5:&%

    %6.&85& %'.6'7

    '&.&6;& %.88&

    88.&;6& %.'55;

    7:.%55& &.8&6;

    7:.%55& &.867&

    5.%8;& &.5%68

    5.%8;& &.%88'

    :6.%7& &.%58

    Column A Table Props. GPSAChap. 23

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    %&'.&&&& &.&&&&

    19.7079

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    %;.&: %.55:

    &.6:& &.7;8

    '.%&7 5.;'&

    @E2T4N1 A2=$E 2=$=2T4ON

    !4T@O$T =4*$4D EOAE>

    >?=c?

    &.& &.&&&&

    &.& &.&&&&

    %&%&.& :7:.7&&&

    %6;. %&5.6856

    57%6.5 7.8:6&

    '575.& 55.68&

    '565.8 56.&;;5

    8&&&.; %5.&&5

    8&&:. :.&%8

    876.& ;.7%5&

    77&5.7 &.&&&&

    1115.0239

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    &.;;% &.;;;

    %%%:.5;%6 ;'.5:&8

    !4T@O$T =4*$4D EOAE> !4T@ =4*$4D EOAE>

    ''&.&&&& 5;7.:6%7

    %%%:.5;%6 ;'.5:&8

    :%&:&.&%65

    =c? +CT$scf01O--

    cj

    cidealL

    Z

    )fHHV100

    gi f

    gf

    Q nmol Q =

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    N

    -1 =4*$4D +adim0 13,? 4DE2= 13,? E2= E-4D$E +mol0 >? E-4D$E

    '.&&&& &.&''7

    %.&&&& &.&%%5

    :7.&&&& &.;8:%

    &.'768 %.78%: %.':6 &.7:&& &.&&67

    &.7&8 &.:5%6 &.:&7% &.&6&& &.&&&

    &.76'& &.55 &.5577 &.&&& &.&&&%

    &.7:8% &.57&: &.58:' &.&&:& &.&&&%

    &.6586 &.%&;5 &.%&;5 &.&&&& &.&&&&

    &.6'%% &.&5& &.&5& &.&&&& &.&&&&

    &.668& &.&:%: &.&:%: &.&&&& &.&&&&

    Column E Table Props. GPSAChap. 23

    GPMj real= GPMjideal*Reo!er" E# $%ra&ion'

    Assume Calula&ion (ase)++ mol

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    &.&&& &.&&&& &.&&&& &.&&&& &.&&&&

    3.1049 2.9295 89.6550 1.0000

    !4T@ =4*$4D EOAE>

    B? >? E-4D$E >?=c?

    &.;;8' 5.56E9&' &.&''7 &.&&&& 5.7'E9&'

    &.;;; %.'E9&8 &.&%%5 &.&&&& %.;'E9&8

    &.;;:& '.:&E9&5 &.;8:% ;7.77;7 8.58E9&5

    &.;;%; 7.55E9&' &.&&67 %%.88:6 7.:5E9&8

    &.;:57 '.;E9&' &.&&& %.6:'; :.:7E9&7

    &.;%% %.%;E9&' &.&&&% &.57'; %.''E9&7

    &.;66 %.86E9&' &.&&&% &.5;%% %.6'E9&7

    &.;8:& 6.:8E9&8 &.&&&& &.&&&& &.&&E

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    >?,? E-4D$E +lblbmol0

    %.856

    &.'%57

    %7.5&;%

    &.%;87

    &.&5;7

    &.&&87

    &.&&75

    &.&&&&

    &.&&&&

    &.&&&&

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    &.&&&&

    17.2279