Calculo EQLV Mezcla Binaria Ejemplo Alumnos

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excel equilibrio liquido-vapor

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Sistema: Acetonitrilo(A) Nitrometano(B)Constantes de Antoine A1 14.2724 14.2043presión en KiloPa y T en °C A2 2945.47 2972.64

A3 224 209

Sistema: Benceno(A) Etilbenceno(B)Constantes de Antoine A1 13.8858 14.0045presión en KiloPa y T en °C A2 2788.51 3279.47

A3 220.79 213.2

Sistema: 1-Clorobutano(A) Clorobenceno(B)Constantes de Antoine A1 13.96 13.9926presión en KiloPa y T en °C A2 2826.26 3295.12

A3 224.1 217.55

Sistema: Acetona(A) Acetonitrilo(B)Constantes de Antoine A1 14.5463 14.2724presión en KiloPa y T en °C A2 2940.46 2945.47

A3 237.22 224

Sistema: n-Pentano(A) n-Heptano(B)Constantes de Antoine A1 13.8183 13.8587presión en KiloPa y T en °C A2 2477.07 2911.32

A3 233.21 216.64

Sistema: Benceno(A) Tolueno(B)Constantes de Antoine A1 13.8858 13.9987presión en KiloPa y T en °C A2 2788.51 3096.52

A3 220.79 219.48

21

3

sat AlnP A

T A

Sistema: Benceno(A) Etilbenceno(B)Constantes de Antoine A1 13.8858 14.0045presión en KiloPa y T en °C A2 2788.51 3279.47

A3 220.79 213.2

Sistema: 1-Clorobutano(A) Benceno(B)Constantes de Antoine A1 13.96 13.8858presión en KiloPa y T en °C A2 2826.26 2788.51

A3 224.1 220.79

Sistema: n-Pentano(A) n-Hexano(B)Constantes de Antoine A1 13.8183 13.8216presión en KiloPa y T en °C A2 2477.07 2697.55

A3 233.21 224.37

Sistema: n-Hexano(A) Trietilamina(B)A1A2A3

21

3

sat AlnP A

T A

Sistema:n-Pentano(A)n-Heptano(B) DIAGRAMA T-x,y a Presión constanteConstantes de Antoine A1 13.8183 13.8587presión en KiloPa y T en °C A2 2477.07 2911.32 Ingrese la Presión, KiloPascal, =

A3 233.21 216.64

i0

0.011bar= 100 Kpa 0.021atm= 760 mm Hg 0.031atm= 14,696 psi 0.041atm= 1,01325 bar 0.051atm= 101,325 Kpa 0.06

0.070.080.090.1

0.110.120.130.140.150.160.170.180.190.2

0.210.220.230.240.250.260.27

53.82 0.5045 0.280.290.3

0.310.320.330.340.350.360.370.380.390.4

0.410.420.430.440.450.46

21

3

sat AlnP A

T A

vBA

vA vB

vAA A

P Px

P P

Py x

P

0.470.480.490.5

0.510.520.530.540.550.560.570.580.590.6

0.610.620.630.640.650.660.670.680.690.7

0.710.720.730.740.750.760.770.780.790.8

0.810.820.830.840.850.860.870.880.890.9

0.910.920.930.940.950.960.970.980.99

1

DIAGRAMA T-x,y a Presión constante

Ingrese la Presión, KiloPascal, = 101.325 1 atmTsA= 36.03771 °CTsB= 98.425414 puro

T °C PsA PsB xA yA diagonal36.03771 101.325 10.3483689 1 1 1

36.661587 103.503067 10.6462431 0.97654382 0.99753545 0.9765438237.285464 105.717581 10.9511642 0.95364834 0.99499033 0.95364834

37.9093411 107.968956 11.2632595 0.93129716 0.99236301 0.9312971638.5332181 110.257608 11.5826575 0.90947441 0.98965184 0.9094744139.1570952 112.583955 11.9094882 0.88816475 0.98685516 0.8881647539.7809722 114.948414 12.2438833 0.86735333 0.98397128 0.8673533340.4048492 117.351408 12.5859756 0.8470258 0.98099847 0.847025841.0287263 119.79336 12.9358995 0.82716827 0.97793502 0.8271682741.6526033 122.274693 13.2937911 0.8077673 0.97477916 0.807767342.2764804 124.795835 13.6597877 0.78880988 0.97152912 0.7888098842.9003574 127.357212 14.0340281 0.77028344 0.96818309 0.7702834443.5242344 129.959255 14.4166528 0.75217578 0.96473925 0.7521757844.1481115 132.602395 14.8078035 0.73447512 0.96119575 0.7344751244.7719885 135.287065 15.2076234 0.71717003 0.95755074 0.7171700345.3958656 138.013699 15.6162575 0.70024946 0.9538023 0.7002494646.0197426 140.782732 16.033852 0.68370271 0.94994854 0.6837027146.6436196 143.594604 16.4605545 0.66751941 0.94598752 0.6675194147.2674967 146.449753 16.8965144 0.6516895 0.94191726 0.651689547.8913737 149.348619 17.3418824 0.63620327 0.9377358 0.6362032748.5152508 152.291645 17.7968106 0.62105128 0.93344112 0.6210512849.1391278 155.279274 18.2614527 0.60622441 0.92903119 0.6062244149.7630048 158.311951 18.735964 0.59171379 0.92450396 0.5917137950.3868819 161.390123 19.2205011 0.57751085 0.91985736 0.5775108551.0107589 164.514237 19.7152221 0.56360727 0.91508927 0.56360727

51.634636 167.684743 20.2202867 0.549995 0.91019758 0.54999552.258513 170.902091 20.735856 0.53666621 0.90518014 0.53666621

52.88239 174.166733 21.2620926 0.52361333 0.90003476 0.5236133353.5062671 177.479122 21.7991606 0.510829 0.89475927 0.51082954.1301441 180.839712 22.3472256 0.49830611 0.88935143 0.4983061154.7540212 184.248959 22.9064546 0.48603774 0.883809 0.4860377455.3778982 187.70732 23.4770162 0.47401717 0.87812971 0.4740171756.0017753 191.215253 24.0590804 0.46223791 0.87231126 0.4622379156.6256523 194.773217 24.6528186 0.45069364 0.86635134 0.4506936457.2495293 198.381672 25.258404 0.43937824 0.86024761 0.4393782457.8734064 202.04108 25.8760109 0.42828575 0.85399769 0.4282857558.4972834 205.751904 26.5058153 0.41741042 0.84759919 0.4174104259.1211605 209.514607 27.1479944 0.40674663 0.8410497 0.4067466359.7450375 213.329654 27.8027274 0.39628896 0.83434677 0.3962889660.3689145 217.19751 28.4701943 0.38603212 0.82748794 0.3860321260.9927916 221.118643 29.1505771 0.37597099 0.8204707 0.3759709961.6166686 225.093519 29.844059 0.36610058 0.81329256 0.3661005862.2405457 229.122608 30.5508247 0.35641607 0.80595095 0.3564160762.8644227 233.20638 31.2710604 0.34691276 0.79844332 0.3469127663.4882997 237.345304 32.0049537 0.33758609 0.79076707 0.3375860964.1121768 241.539852 32.7526937 0.32843163 0.78291958 0.3284316364.7360538 245.790497 33.5144709 0.31944507 0.77489821 0.31944507

65.3599309 250.097711 34.2904771 0.31062222 0.76670029 0.3106222265.9838079 254.461968 35.080906 0.30195904 0.75832312 0.3019590466.6076849 258.883743 35.8859521 0.29345155 0.74976399 0.29345155

67.231562 263.363511 36.7058119 0.28509593 0.74102014 0.2850959367.855439 267.901749 37.540683 0.27688844 0.73208881 0.27688844

68.4793161 272.498932 38.3907644 0.26882546 0.72296719 0.2688254669.1031931 277.15554 39.2562568 0.26090345 0.71365246 0.2609034569.7270701 281.872049 40.1373619 0.25311898 0.70414178 0.2531189870.3509472 286.648939 41.0342832 0.24546873 0.69443227 0.2454687370.9748242 291.486689 41.9472255 0.23794944 0.68452103 0.2379494471.5987013 296.38578 42.8763947 0.23055795 0.67440512 0.2305579572.2225783 301.346691 43.8219985 0.22329122 0.66408161 0.2232912272.8464553 306.369904 44.7842457 0.21614623 0.6535475 0.2161462373.4703324 311.4559 45.7633467 0.2091201 0.64279979 0.209120174.0942094 316.605162 46.7595131 0.20220999 0.63183546 0.2022099974.7180865 321.818173 47.7729579 0.19541316 0.62065144 0.1954131675.3419635 327.095414 48.8038956 0.18872693 0.60924465 0.1887269375.9658405 332.43737 49.8525418 0.1821487 0.59761198 0.182148776.5897176 337.844525 50.9191138 0.17567592 0.58575029 0.1756759277.2135946 343.317362 52.0038299 0.16930614 0.57365643 0.1693061477.8374717 348.856367 53.1069099 0.16303695 0.5613272 0.1630369578.4613487 354.462023 54.2285749 0.15686602 0.54875939 0.1568660279.0852257 360.134818 55.3690475 0.15079106 0.53594976 0.1507910679.7091028 365.875235 56.5285513 0.14480986 0.52289504 0.1448098680.3329798 371.68376 57.7073115 0.13892026 0.50959194 0.1389202680.9568569 377.560881 58.9055544 0.13312015 0.49603713 0.1331201581.5807339 383.507082 60.1235077 0.1274075 0.48222727 0.127407582.2046109 389.52285 61.3614003 0.1217803 0.46815899 0.1217803

82.828488 395.608671 62.6194626 0.11623661 0.45382888 0.1162366183.452365 401.765033 63.897926 0.11077454 0.43923353 0.11077454

84.0762421 407.992422 65.1970234 0.10539224 0.42436948 0.1053922484.7001191 414.291325 66.5169888 0.10008792 0.40923324 0.1000879285.3239962 420.662229 67.8580576 0.09485983 0.39382133 0.0948598385.9478732 427.10562 69.2204662 0.08970625 0.37813019 0.0897062586.5717502 433.621986 70.6044525 0.08462552 0.36215629 0.0846255287.1956273 440.211814 72.0102556 0.07961602 0.34589602 0.0796160287.8195043 446.875591 73.4381156 0.07467618 0.32934579 0.0746761888.4433814 453.613804 74.888274 0.06980445 0.31250195 0.0698044589.0672584 460.426939 76.3609735 0.06499932 0.29536085 0.0649993289.6911354 467.315484 77.856458 0.06025934 0.27791878 0.0602593490.3150125 474.279925 79.3749725 0.05558306 0.26017204 0.0555830690.9388895 481.320749 80.9167633 0.05096911 0.24211688 0.0509691191.5627666 488.438442 82.4820777 0.04641613 0.22374953 0.0464161392.1866436 495.63349 84.0711643 0.04192278 0.2050662 0.0419227892.8105206 502.90638 85.6842728 0.03748777 0.18606306 0.0374877793.4343977 510.257597 87.3216542 0.03310985 0.16673627 0.0331098594.0582747 517.687627 88.9835603 0.02878778 0.14708196 0.0287877894.6821518 525.196956 90.6702444 0.02452037 0.12709621 0.0245203795.3060288 532.786068 92.3819606 0.02030644 0.10677511 0.0203064495.9299058 540.455448 94.1189644 0.01614485 0.0861147 0.0161448596.5537829 548.20558 95.8815121 0.01203449 0.06511101 0.0120344997.1776599 556.036949 97.6698614 0.00797426 0.04376002 0.00797426

97.801537 563.950039 99.4842708 0.00396311 0.0220577 0.0039631198.425414 571.945333 101.325 0.00 0.00 0

DIAGRAMA P-x,y a Temperatura constante

Ingrese laTemperatura, °C = 100PsA= 592.493223 Kpascal puroPsB= 106.089558 puro

i P, Kpa PsA PsB xA yA0 106.089558 592.493223 106.089558 0 0

0.01 110.953595 592.493223 106.089558 0.01 0.053400090.02 115.817632 592.493223 106.089558 0.02 0.102314860.03 120.681668 592.493223 106.089558 0.03 0.147286630.04 125.545705 592.493223 106.089558 0.04 0.188773710.05 130.409742 592.493223 106.089558 0.05 0.227166010.06 135.273778 592.493223 106.089558 0.06 0.262797370.07 140.137815 592.493223 106.089558 0.07 0.295955280.08 145.001852 592.493223 106.089558 0.08 0.326888640.09 149.865888 592.493223 106.089558 0.09 0.35581406

0.1 154.729925 592.493223 106.089558 0.1 0.38292090.11 159.593961 592.493223 106.089558 0.11 0.408375440.12 164.457998 592.493223 106.089558 0.12 0.432324290.13 169.322035 592.493223 106.089558 0.13 0.45489720.14 174.186071 592.493223 106.089558 0.14 0.476209440.15 179.050108 592.493223 106.089558 0.15 0.496363750.16 183.914145 592.493223 106.089558 0.16 0.515452010.17 188.778181 592.493223 106.089558 0.17 0.533556620.18 193.642218 592.493223 106.089558 0.18 0.55075170.19 198.506255 592.493223 106.089558 0.19 0.56710411

0.2 203.370291 592.493223 106.089558 0.2 0.582674310.21 208.234328 592.493223 106.089558 0.21 0.597517120.22 213.098365 592.493223 106.089558 0.22 0.611682350.23 217.962401 592.493223 106.089558 0.23 0.625215360.24 222.826438 592.493223 106.089558 0.24 0.638157550.25 227.690475 592.493223 106.089558 0.25 0.650546780.26 232.554511 592.493223 106.089558 0.26 0.662417760.27 237.418548 592.493223 106.089558 0.27 0.673802330.28 242.282584 592.493223 106.089558 0.28 0.684729790.29 247.146621 592.493223 106.089558 0.29 0.69522712

0.3 252.010658 592.493223 106.089558 0.3 0.705319240.31 256.874694 592.493223 106.089558 0.31 0.715029170.32 261.738731 592.493223 106.089558 0.32 0.72437820.33 266.602768 592.493223 106.089558 0.33 0.73338610.34 271.466804 592.493223 106.089558 0.34 0.742071190.35 276.330841 592.493223 106.089558 0.35 0.750450540.36 281.194878 592.493223 106.089558 0.36 0.758539990.37 286.058914 592.493223 106.089558 0.37 0.766354350.38 290.922951 592.493223 106.089558 0.38 0.77390740.39 295.786988 592.493223 106.089558 0.39 0.78121204

0.4 300.651024 592.493223 106.089558 0.4 0.788280330.41 305.515061 592.493223 106.089558 0.41 0.795123560.42 310.379097 592.493223 106.089558 0.42 0.801752290.43 315.243134 592.493223 106.089558 0.43 0.808176480.44 320.107171 592.493223 106.089558 0.44 0.814405430.45 324.971207 592.493223 106.089558 0.45 0.820447920.46 329.835244 592.493223 106.089558 0.46 0.82631219

0.47 334.699281 592.493223 106.089558 0.47 0.832006010.48 339.563317 592.493223 106.089558 0.48 0.837536720.49 344.427354 592.493223 106.089558 0.49 0.84291121

0.5 349.291391 592.493223 106.089558 0.5 0.848136020.51 354.155427 592.493223 106.089558 0.51 0.853217320.52 359.019464 592.493223 106.089558 0.52 0.858160930.53 363.883501 592.493223 106.089558 0.53 0.862972370.54 368.747537 592.493223 106.089558 0.54 0.867656890.55 373.611574 592.493223 106.089558 0.55 0.872219430.56 378.47561 592.493223 106.089558 0.56 0.876664690.57 383.339647 592.493223 106.089558 0.57 0.880997150.58 388.203684 592.493223 106.089558 0.58 0.885221040.59 393.06772 592.493223 106.089558 0.59 0.88934039

0.6 397.931757 592.493223 106.089558 0.6 0.893359040.61 402.795794 592.493223 106.089558 0.61 0.897280640.62 407.65983 592.493223 106.089558 0.62 0.901108650.63 412.523867 592.493223 106.089558 0.63 0.904846390.64 417.387904 592.493223 106.089558 0.64 0.908497010.65 422.25194 592.493223 106.089558 0.65 0.912063530.66 427.115977 592.493223 106.089558 0.66 0.915548820.67 431.980014 592.493223 106.089558 0.67 0.918955620.68 436.84405 592.493223 106.089558 0.68 0.922286550.69 441.708087 592.493223 106.089558 0.69 0.92554412

0.7 446.572123 592.493223 106.089558 0.7 0.928730730.71 451.43616 592.493223 106.089558 0.71 0.931848680.72 456.300197 592.493223 106.089558 0.72 0.934900150.73 461.164233 592.493223 106.089558 0.73 0.937887250.74 466.02827 592.493223 106.089558 0.74 0.940811990.75 470.892307 592.493223 106.089558 0.75 0.943676320.76 475.756343 592.493223 106.089558 0.76 0.946482070.77 480.62038 592.493223 106.089558 0.77 0.949231040.78 485.484417 592.493223 106.089558 0.78 0.951924920.79 490.348453 592.493223 106.089558 0.79 0.95456536

0.8 495.21249 592.493223 106.089558 0.8 0.957153920.81 500.076527 592.493223 106.089558 0.81 0.959692140.82 504.940563 592.493223 106.089558 0.82 0.962181450.83 509.8046 592.493223 106.089558 0.83 0.964623260.84 514.668636 592.493223 106.089558 0.84 0.967018920.85 519.532673 592.493223 106.089558 0.85 0.969369720.86 524.39671 592.493223 106.089558 0.86 0.97167690.87 529.260746 592.493223 106.089558 0.87 0.973941690.88 534.124783 592.493223 106.089558 0.88 0.976165220.89 538.98882 592.493223 106.089558 0.89 0.97834862

0.9 543.852856 592.493223 106.089558 0.9 0.980492970.91 548.716893 592.493223 106.089558 0.91 0.98259930.92 553.58093 592.493223 106.089558 0.92 0.984668610.93 558.444966 592.493223 106.089558 0.93 0.986701880.94 563.309003 592.493223 106.089558 0.94 0.988700030.95 568.17304 592.493223 106.089558 0.95 0.990663970.96 573.037076 592.493223 106.089558 0.96 0.992594580.97 577.901113 592.493223 106.089558 0.97 0.994492680.98 582.765149 592.493223 106.089558 0.98 0.99635910.99 587.629186 592.493223 106.089558 0.99 0.99819462

1 592.493223 592.493223 106.089558 1 1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 120.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00

110.00

120.00Diagrama a P cte

x, y

TV

L + V

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

100

200

300

400

500

600

700 Diagrama a T cte

x,y

P

L

V

L + V

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 Diagrama composición

x

y

L

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 Diagrama composición

x

y

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 120.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00

110.00

120.00Diagrama a P cte

x, y

T

V

L + V

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

100

200

300

400

500

600

700 Diagrama a T cte

x,y

P

L

V

L + V

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 Diagrama composición

x

y

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 Diagrama composición

x

y

Sistema: Acetona(A) Benceno(B) DIAGRAMA T-x,y a Presión constanteConstantes de Antoine A1 14.5463 13.8859presión en KiloPa y T en °C A2 2940.46 2788.51 Ingrese la Presión, KiloPascal, =

A3 237.22 220.79

alfa= 0.405beta= 0.405

1bar= 100 Kpa1atm= 760 mm Hg1atm= 14,696 psi1atm= 1,01325 bar1atm= 101,325 Kpa

DIAGRAMA P-x,y a Temperatura constante

Ingrese la Temperatura en °C =

21

3

sat AlnP A

T A

2

2

ln

1

ln

1

A

B

L

A

B

L

B

A

x

x

x

x

B vBA

A vA B vB

A vAA A

P Px

P P

Py x

P

DIAGRAMA T-x,y a Presión constante

Ingrese la Presión, KiloPascal, = 101.325 1 atmTsA= 58.9594747 puroTsB= 80.0991171 puro

T °C PsA PsB xAsupuesto xA calculado80.099 196.316074 101.324635 0.0000018927 1.499300201 1 0.00

79 190.094377 97.9400528 0.01843644 1.477282341 1.00013766992 0.01843644478 184.568624 94.9380788 0.03644856 1.456468555 1.00053818627 0.03644857176 173.896029 89.1512274 0.07654838 1.412511001 1.00237597824 0.07654815772 154.010161 78.4118452 0.17795897 1.314793132 1.01290871226 0.17795897270 144.765216 73.4401804 0.24319555 1.261075534 1.02424253647 0.24319554668 135.964876 68.7213633 0.32192362 1.204679997 1.04286538337 0.32192362566 127.593905 64.2462118 0.41824916 1.146903596 1.07341763071 0.4182491664 119.637316 60.0057041 0.53756232 1.09046988 1.12415783633 0.53756231962 112.080375 55.9909819 0.68681617 1.040523618 1.21051412106 0.68681616761 108.44724 54.0655677 0.77562968 1.020597792 1.27589586004 0.77562967860 104.908609 52.1933538 0.87663813 1.006182384 1.36511713268 0.8766381359 101.462716 50.3732805 0.99471213 1.000011324 1.49291136498 0.994712135

58.9594747 101.325 50.3006057 0.99999999 1 1.49930248791 1.000000003

DIAGRAMA P-x,y a Temperatura constante

Ingrese la Temperatura en °C = 70PsA= 144.765216 puroPsB= 73.4401804 puro

P Kpa PsA PsB xAsupuesto xA calculado73.45 144.765216 73.4401804 0.000068379 1.499219463 1.00000000189 6.83833E-05

77 144.765216 73.4401804 0.02543196 1.469117764 1.00026198207 0.02543195981 144.765216 73.4401804 0.05564184 1.435027475 1.00125467226 0.05564183685 144.765216 73.4401804 0.08775345 1.40079296 1.00312363896 0.08775344690 144.765216 73.4401804 0.13087771 1.357882213 1.00696135322 0.1308777195 144.765216 73.4401804 0.17774176 1.31498333 1.01287701782 0.177741758

100 144.765216 73.4401804 0.22886254 1.272310397 1.02143971277 0.228862539105 144.765216 73.4401804 0.28482548 1.230163652 1.03340156304 0.284825482115 144.765216 73.4401804 0.41393123 1.14924824 1.07185663809 0.413931227125 144.765216 73.4401804 0.57081183 1.077455245 1.14106220668 0.57081183130 144.765216 73.4401804 0.66168214 1.047447115 1.19401122731 0.661682136135 144.765216 73.4401804 0.76234891 1.023137213 1.26538474671 0.762348907140 144.765216 73.4401804 0.87521835 1.006325961 1.36374269265 0.875218347

144.5 144.765216 73.4401804 0.99239791 1.000023406 1.49013349927 0.99239791

A B

A B

Raoult-DaltonyA xA yA

0.00 0 00.051096744 0.03673129 0.0689110450.096699171 0.071258311 0.1298006250.185567064 0.143652145 0.2465387390.355639567 0.30309081 0.4606865480.438171709 0.390954165 0.5585646580.520396851 0.484859215 0.6506175470.604053365 0.585321839 0.7370688280.692137758 0.692909261 0.8181377150.790506449 0.808245829 0.8940389410.847248745 0.869032351 0.930117540.913254001 0.932019502 0.9649826780.996075372 0.997304419 0.9986599040.999999989 1.000000001 1.000000001

Raoult-DaltonyA xA yA0.000202051 0 0 2.7693331E-05 -0.0007242 -0.000696510.070244114 0.049909819 0.093833841 0.0100379957 -0.11848555 -0.108447560.142705563 0.105991109 0.189429948 0.021281058 -0.21480354 -0.193522480.209355052 0.162072399 0.276028775 0.0324213753 -0.29730907 -0.2648877

0.28585744 0.232174012 0.373452455 0.0460682376 -0.3880518 -0.341983560.356164262 0.302275625 0.460621011 0.0591905984 -0.46795188 -0.40876128

0.42153342 0.372377237 0.539072711 0.0714762133 -0.53789828 -0.466422060.483077323 0.44247885 0.610052821 0.0824984703 -0.59745325 -0.51495478

0.59883672 0.582682075 0.73349649 0.0982498274 -0.67825746 -0.580007640.712272888 0.7228853 0.837189172 0.0992192023 -0.68308475 -0.583865550.771795757 0.792986913 0.883053243 0.0906628492 -0.63991342 -0.549250570.836407885 0.863088526 0.925519975 0.0733750857 -0.54835723 -0.474982150.910733428 0.933190138 0.964953369 0.0442305327 -0.37634506 -0.332114530.994242631 0.99628159 0.998110168 0.0030554406 -0.04466624 -0.0416108

g

RT

lni ix x

Eg

RT

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00

58

60

62

64

66

68

70

72

74

76

78

80

82Diagrama a P cte

x, y

T

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

73

78

83

88

93

98

103

108

113

118

123

128

133

138

143

Diagrama a T cte

x, y

P

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.8

-0.7

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.8

-0.7

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2