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  • 8/16/2019 Tablas Gpsa

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    SECTION 23

    Physical Properties

    This section contains a number of charts, correlations, andcalculation procedures to be used for predicting physical prop-erties of hydrocarbons and components found with them.Fig. 23-1 shows the nomenclature used in this section.

    Fig. 23-2 is a table containing frequently used physical prop-erties for a number of hydrocarbons and other selected com-

    ponents. Immediately following is a detailed list of referencand footnoted explanation for the values in Fig. 23-2.

    Physical properties for eighteen selected compounds can found in GPA Standard 2145, "Table of Physical Constants Paraffin Hydrocarbons and Other Components of NaturGas."

    B = second virial coefficient for a gas mixture,

    [kPa (abs)]-1

    B′ = mole fraction H2S in sour gas stream, Eq 23-6

    Bii = second virial coefficient for component iBij = second cross virial coefficient for components i

    and j

    bi1/2 = summation factor for component i

    CABP = cubic average boiling point, °C

    d = density, g/cc

    G = relative density (gas density)

    Gi = relative density (gas gravity) of ideal gas, MW/MWa

    Giid = molecular mass ratio of component i in mixture

    Hv = gross heating value per unit volume of ideal gas,

    MJ/m3

    K w = Watson characterization factor, Fig. 23-12

    k = thermal conductivity, W/(m • °C)

    ka

    = thermal conductivity at one atmosphere, W/(m • °C)

    M = mass fraction

    m = mass, kg  

    MW = molecular mass, g mole

    MABP = molal average boiling point, °C or K 

    MeABP = Mean average boiling point, °C or K 

    n = number of moles (mass/mole weight)

    P = pressure, kPa (abs)

    Pc′ = pseudocritical pressure adjusted for acid gas

    composition, kPa (abs)

    Pvp = vapor pressure at a reduced temperature of 0.7

    Pw o = vapor pressure of water, 7.3811 kPa (abs) at 40°C

    R = gas constant, 8.3145 [kPa (abs) • m3]/(K  • kg mole)for all gases (see Section 1 for R in other units)

    S = relative density at 15°/15°C

    T = absolute temperature, K 

    t = ASTM D-86 distillation temperature, °C or K,

    Eq 23-11

    Tc′ = pseudocritical temperature adjusted for acid gas

    composition, K 

     V = volume, m3

     VABP = volumetric average boiling point, °C

    W = mass, kg  

    WABP = weight average boiling point, °C

    yi = mole fraction of component i from analysis on dr

    basis, Eq 23-37x = mole fraction in liquid phase

    yiw

    = mole fraction of component i adjusted for water

    content

    y = mole fraction in gas phase

    Z = compressibility factor

    Greek 

    ε = pseudocritical temperature adjustment factor,Eq 23-6

    θ = MeABP/Tpcρ = density, kg/m3

    µ = viscosity at operating temperature and pressurecentipoise

    µ A 

    = viscosity at 101.325 kPa (abs) (1 atm) and opera

    temperature, centipoise

    ξ = factor defined by Eq 23-20

    σ = surface tension, dynes/cm

    ω = acentric factor

    η = kinematic viscosity, centistokes

    Subscripts

    a = air

    b = boiling  

    c = critical

    i = component i

    L = liquid

    m = mixture

    pc = pseudocritical

    r = reduced state

     V = vapor

    v = volume

    w = water

    Superscripts

    id = ideal gas

    w = watero = reference state

    FIG. 23-1

    Nomenclature

    23-1

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    See Note No.

    Compound

    MethaneEthanePropanelsobutanen-Butane

    Isopentanen-PentaneNeopentane

    n-Hexane2-Methylpentane3-MethylpentaneNeohexane2,3-Dimethylbutane

    n-Heptane2-Methylhexane3-Methylhexane3-Ethylpentane2,2-Dimethylpentane2,4-Dimethylpentane3,3-DimethylpentaneTriptane

    n-OctaneDiisobutylIsooctanen-Nonanen-DecaneCyclopentaneMethylcyclopentaneCyclohexaneMethylcyclohexane

    Ethene(Ethylene)Propene(Propylene)1-Butene(Butylene)cis-2-Butenetrans-2-ButeneIsobutene1-Pentene1,2-Butadiene1,3-ButadieneIsoprene

    Ethylbenzeneo-Xylenem-Xylenep-Xlyene

    Isopropylbenzene

    Methyl alcoholEthyl alcoholCarbon monoxideCarbon  dioxideHydrogen  sulfideSulfur dioxide

    AmmoniaAirHydrogenOxygenNitrogenChlorineWaterHeliumHydrogen  chloride

    16.043  -161.5130.070 -88.5944.097 -42.0758.123 -11.7958.123   -0.51

    (35000)*

    1369.8530.89379.61

    -182.45* 4599.-182.79* 4880.-187.62" 4240.-159.59 3640.-138.35 3784.

    72.150 27.83   151.31114.70

    -159.89 3381.72.150 36.05 -129.71

    270.03365.

    72.150 9.50 -16.58 3199.

    86.177 68.7286.177 60.2486.177 63.2686.177 49.7286.177 57.96

    37.297   -95.3150.6845.73

    -153.67-162.89

    73.4155.34

    -99.825-128.53

    3030.3010.3120.3080.3130.

    100.204 98.37   12.342100.204 90.03   17.226100.204 91.85   16.155100.204 93.47   15.265100.204 79.17   26.32100.204 80.47   24.85100.204 86.04   20.94100.204 80.86   25.41

    -90.55-118.26

    -118.58-123.78-119.21-134.44-24.56

    2740.2730.2810.2890.2770.2740.2950.2950.

    114.231 125.65114.231 109.08114.231 99.21128.258 150.78142.285 174.1170.134 49.2284.161 71.8384.161 80.7898.188 100.94

    4.146 -56.768.417

    12.966-91.160

    -107.351.358   -53.480.4814   -29.63

    73.99   -93.82733.75   -142.4324.64   6.55012.211 -126.59

    2490.2490.2570.2280.2100.

    425.

    4508.3784.4073.3471.

    28.054   -103.7342.081 -47.6856.108 -6.2356.108 3.7256.108 0.8856.108 -6.9170.134 29.9554.092 10.8454.092 -4.4168.119 34.05

    (9700)

    459.0338.3366.5477.4141.65269.436.1123.8

    -169.15*-185.25*-185.35*-138.90-105.54-140.34-165.21-136.19-108.89-145.95

    5040.4665.4043.4243.3964.4000.3513.

    (4502)

    (3856)

    26.038   -84.01*78.114  80.0792.141  110.60

    106.167   136.17106.167   144.39106.167   139.09106.167   138.32104.152   145.23120.194   152.38

    24.387.8952.8732.0512.5282.6482.001.47

    -80.8"5.532

    -94.98-94.963-25.18-47.8613.2630.63-96.021

    6139.   308.31 0.004324898. 562.12 0 .003324106.   591.76 0.003433606.   617.16 0.003523734. 630.29 0 .003483536. 617.01 0 .003543511. 616.19 0 .003574050.3209.

    (646)* 0.003330.00355

    32.042   64.6746.069   78.2628.010   -191.4544.010   -78.464*34.082   -60.26664.065   -9.94

    35.4417.903 —

    2859.7630.2

    -97.65 8097.-114.1 6148.-204.99* 3494.

    -56.56* 7374.-85.48* 8963.-75.47* 7884.

    17.0305 -33.3228.9625  -194.34

    2.0159  -252.850*31.9986  -182.954*28.0134  -195.79870.9054  -33.9518.0153  99.974*

    4.0026  -268.9536.461  -85.14

    1555.

     — — —

    1146.7.3849

    6547.

    -77.69*

    -259.347*-218.792*-209.997*-100.95

    0.000

    -114.17*

    11350.3771.1293.5043.3398.7977.

    22064.227.5

    8310.

    PHYSICAL CONSTANTS *See the Table of Notes and References

    Critical constants

    190.56 0.00617305.41 0.00489369.77 0.00454407.82 0.00446425.10 0.00439

    460.35 0.00427469.65 0.00434433.71 0.00420

    506.4 0.00429497.46 0.00426504.4 0.00426488.66 0.00417499.86 0.00415

    539.2 0.00426530.06 0.00420535.16 0.00403540.46 0.00415520.36 0.00415519.66 0.00417536.26 0.00413531.06 0.00397

    568.4 0.00420549.96 0.00422543.86 0.00410594.7 0.00433617.7 0.00439511.6 0.00371532.75 0.00379553.5 0.00366572.15 0.00375

    282.34 0.00466365.55 0.00448419.92 0.00426435.54 0.00417428.59 0.00424417.86 0.00425464.74 0.00421

    (444)*   (0.0043)*

    (484)0.00407(0.0041)*

    512.60 0.00368513.88 0.00362132.86 0.00329304.11 0.00214373.37 0.00288430.8 0.00190

    405.5 0.00425132.43 0.0032333.0 0.03185*

    154.59 0.00229126.21 0.00318416.86 0.00175647.10 0.003102

    5.20 0.01436324.68 0.00222

    12345

    678

    910

    111213

    1415161718192021

    222324252627282930

    31323334353637383940

    414243444546474849

    505152535455

    565758596061626364

    12345

    678

    910111213

    1415161718192021

    222324252627282930

    31323334353637383940

    414243444546474849

    505152535455

    565758596061626364

    (6000)*

     —

    4277.

    AcetyleneBenzeneToluene

    1691.

     —

    Styrene

     —

     —

     — —

     —

    631.1

    1.00040*1.21403*1.29558*1.3251*1.33631*

    1.356581.360241.345*

    1.377461.374171.379181.371571.37759

    1.390171.387431.391191.395941.384751.384081.393421.39196

    1.399811.394881.393921.407731.414111.409271.412401.428921.42566

    (1.241)*1.313*1.351*1.368*1.359*1.358*1.3746

     — —

    1.4253

     —1.50431.499601.498561.507951.499801.498391.54961.49400

    1.330281.363451.00036*1.00049*1.00061*1.00062*

    1.00036*1.00028*1.00013*1.00027*1.00028*1.3878*1.333471.00003*1.00042

       F  o  r  m  u   l  a

       N  u  m   b  e  r

       M  o   l  a  r  m  a  s  s

       (   M  o   l  e  c  u   l  a  r  w  e   i  g   h   t   )

       B  o   i   l   i  n  g   P  o   i  n   t ,   å   C

       1   0   1 .   3

       2   5   0   k   P  a   (  a   b  s   )

       V  a  p  o  r  p  r  e  s  s  u  r  e ,

       k   P  a   (  a   b  s   ) ,   4   0   ˚   C

    NOTE: Numbers in this table do not have accuracies greater

    than 1 part in 1000; in some cases extra digits have been added

    to calculated values to achieve internal consistency or to permit

    recalculation of experimental values.

    A. B. C. D.

       F  r  e  e  z   i  n  g  p  o   i  n   t ,   ˚   C

       1   0   1 .   3

       2   5   0   k   P  a   (  a   b  s   )

       R  e   f  r  a  c   t   i  v  e   i  n   d  e  x ,

         n   D

       1   5   ˚   C

       P  r  e  s  s  u  r  e ,

       k   P  a   (  a   b  s   )

       T  e  m  p  e  r  a   t  u  r  e ,

       K

       V  o   l  u  m  e ,  m

       3   /   k  g

    C H4  10

    C H3  8

    C H4  10

    C H2  6C  H4

    C H5  12C H5  12C H5  12

    C H5  10

    C H6  14C H6  14C H6  14C H6  14

    C H6  12

    C H7  16C H7  16C H7  16C H7  16C H7  16C H7  16C H7  16C H7  16

    C H8  18C H8  18C H8  18C H9  20

    C H7  14

    C H2  4C H3  6C H4 8C H4 8C H4 8C H4 8C H5  10C H4 6C H4 6C H5 8

    C H2 2C H6 6C H7 8C H8 10

    8 10

    8 10

    8 10

    C HC HC HC H8 8C H9  12

    C H6  14

    C H6  12

    10  22C H

    CH  O42 6C  H  O

    COCO2

    HCl

    H S2

    SO2

    He

    Cl2H O2

    O2

    H 2

    N2

    N2 O2+NH3

    5/99

       N  u  m   b  e  r

    FIG. 23-2

    Physical Constants

    Revised (5-99)23-2

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    FIG. 23-2 (Cont’d)

    Physical Constants

    23-3

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    FIG. 23-2 (Cont’d)

    Physical Constants

    23-4

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    FIG. 23-2 (Cont’d)

    Notes and References for the Table of Physical Constants

    23-5

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    FIG. 23-2 (Cont’d)

    Notes and References for the Table of Physical Constants

    23-6

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    FIG. 23-2 (Cont’d)

    Notes and References for the Table of Physical Constants

    23-7

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    a. Values in parentheses are estimated values.

    b. The temperature is above the critical point.

    c. At saturation pressure (triple point).

    d. Sublimation point.

    e. The + sign and number following specify the number of cm3 of 

    TEL added per gallon to achieve the ASTM octane number of 

    100, which corresponds to that of Isooctane (2,2,4-

    Trimethylpentane).

    f. These compounds form a glass.

    g. Average value from octane numbers of more than one sample.

    h. Saturation pressure and 15°C.

    i. Index of refraction of the gas.

     j. Densities of the liquid at the normal boiling point.

    k. Heat of sublimation.

    m. Equation 2 of the reference was refitted to give:

    a = 0.7872957; b = 0.1294083; c = 0.03439519.

    n. Normal hydrogen (25% para, 75% ortho).

    p. An extrapolated value.

    q. Gas at 15°C and the liquid at the normal boiling point.

    r. Fixed points on the 1968 International Practical Temperature

    Scale (IPTS-68).

    s. Fixed points on the 1990 International Temperature Scale(ITS-90).

    t. Densities at the normal boiling point are: Ethane, 554.0 [29];

    Propane, 581.0 [28]; Propene, 609.1 [5]; Hydrogen Chloride,

    1192 [43]; Hydrogen Sulfide, 949.0 [25]; Ammonia, 681.6 [43];

    Sulfur Dioxide, 1462 [43].

    u. Technically, water has a heating value in two cases: net

    ((2.466 MJ/kg) when water is liquid in the reactants, and gross

    (+1.879 MJ/m3) when water is gas in the reactants. The value

    is the ideal heat of vaporization (enthalpy of the ideal gas less

    the enthalpy of the saturated liquid at the vapor pressure).

    This is a matter of definition; water does not burn.

    v. Extreme values of those reported by reference 19.

     A. Molar mass (molecular mass) is based upon the following atomic weights: C = 12.011; H = 1.00794; O = 15.9994; N =

    14.0067; S = 32.066; Cl = 35.4527. The values were rounded

    off after calculating the molar mass using all significant figures

    in the atomic weights.

    B. Boiling point: the temperature at equilibrium between the liq-

    uid and vapor phases at 101.3250 kPa.

    C. Freezing point: the temperature at equilibrium between the crys-

    talline phase and the air saturated liquid at 101.3250 kPa.

    D. The refractive index reported refers to the liquid or gas and is

    measured for light of wavelength corresponding to the sodium

    D-line (589.26 nm).

    E. The relative density: ρ(liquid, 15°C)/ ρ(water, 15°C). The den-

    sity of water at 15°C is 999.10 kg/m3.

    F. The temperature coefficient of density is related to the expan-sion coefficient by: (∂ρ / ∂T)P / ρ = –(∂ρ V/ ∂T)P /V, in units of 1/T.

    G. Pitzer acentric factor: ω = –log 10(P/Pc) –1, P at T = 0.7 Tc 

    H. Compressibility factor of the real gas, Z = PV/RT, is calculated

    using the second virial coefficient.

    I. The density of an ideal gas relative to air is calculated by di-

    viding the molar mass of the of the gas by 28.9625, the calcu-

    lated average molar mass of air. See ref. 34 for the average

    composition of dry air. The specific volume of an ideal gas is

    calculated from the ideal gas equation. The volume ratio is:

     V(ideal gas)/V(liquid in vacuum).

    J. The liquid value is not rigorously CP, but rather it is the heatcapacity along the saturation line CS defined by: CS = CP – T

    (∂ V/ ∂T)P(∂P/ ∂T)S. For liquids far from the critical point, CS ≈

    CP.

    K. The heating value is the negative of the enthalpy of combustion

    at 15°C and 101.3250 kPa (abs.) in an ideal reaction (one where

    all gasses are ideal gasses). For an arbitrary organic com-

    pound, the combustion reaction is:

    CnHmOhS jNk (s,l,or,g) + (n + m/4 – h/2 + j) O2(g) →

      n CO2(g) + m/2 H2O (g or l) + k/2 N2(g) + j SO2(g),

    where s, l and g denote respectively solid, liquid and ideal gas.

    For gross heating values, the water formed is liquid; for net

    heating values, the water formed is ideal gas. Values reported

    are on a dry basis. To account for water in the heating value,

    see GPA 2172. The MJ/kg liquid column assumes a reaction

    with the fuel in the liquid state, while the MJ/m3  ideal gas

    column assumes the gas in the ideal gas state. Therefore, the

    values are not consistent if used in the same calculation, e.g. a

    gas plant balance.

    L. The heat of vaporization is the enthalpy of the saturated vapor

    at the boiling point at 101.3250 kPa minus the enthalpy of the

    saturated liquid at the same conditions.

     M. Air required for the combustion of ideal gas for compounds of 

    formula CnHmOhS jNk is:

     V(air)/V(gas) = (n + m/4 - h/2 + j)/0.20946.

    COMMENTS

    Units: reported values are in SI units based on the following:mass: kilogram, kg

    length: meter, m

    temperature: International Temperature of 1990

    (ITS-90), where 0°C = 273.15 K.Other derived units are:

    volume: cubic meter, m3 

    pressure: Pascal, Pa (1 Pa = N/m2)

    energy: Joule, JGas constant, R:

    8.314510 J/(K •mol)

    0.008314510 m3(kPa/(K •mol)

    1.987216 calth /(K •mol)1.985887 Btu(I.T.)/(R(lb•mol)

    Conversion factors:

    1 m3 = 35.31467 ft

    3 = 264.1721 gal.(U.S.)

    1 kg = 2.204623 lbm

    1 kg/m3 = 0.06242795 lbm/ft

    3 =0.001 g/cm

    3

    1 kPa = 0.01 bar = 0.009869233 atm = 0.1450377 psia

    1 atm = 101.3250 kPa = 14.69595 psia = 760 Torr

    1 kJ = 0.2390057 kcalth = 0.2388459 kcal (I.T.)

    = 0.9478172 Btu (I.T.)

    FIG. 23-2 (Cont’d)

    Notes for the Table of Physical Constants

    Revised (5-99)23-8