Temperatura de Burbuja 1

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alfa T expe/ªC X1= Etanol X2= Agua Y1= Etanol Y2= Agua 1.5400 95.5000 0.0190 0.9810 0.1700 0.8300 beta 89.0000 0.0721 0.9279 0.3891 0.6109 0.9700 86.7000 0.0966 0.9034 0.3750 0.6250 alfabeta 85.3000 0.1231 0.8769 0.4704 0.5296 1.5876 84.1000 0.1661 0.8339 0.5019 0.4981 betaalfa 82.7000 0.2337 0.7663 0.5445 0.4555 0.6299 82.3000 0.2608 0.7392 0.5580 0.4420 81.5000 0.3273 0.6727 0.5826 0.4174 80.7000 0.3965 0.6035 0.6122 0.3878 79.8000 0.5079 0.4921 0.6564 0.3436 79.7000 0.5198 0.4802 0.6599 0.3401 79.3000 0.5732 0.4268 0.6841 0.3159 78.7400 0.6763 0.3237 0.7365 0.2635 78.4100 0.7472 0.2528 0.7815 0.2185 78.1500 0.8941 0.1059 0.8945 0.1055 Constantes de Antoine Etanol A B so T m C 16.8958 11.4831 Etanol Agua 16.8958 11.5234 A 16.8958 16.3872 16.8958 11.5421 B 3795.1700 3885.7000 16.8958 11.5625 C 230.9180 230.1700 16.8958 11.5956 4.6183 4.6183 16.8958 11.6480 T Sat 78.1987 99.9977 16.8958 11.6692 16.8958 11.7214 P 101.3250 16.8958 11.7763 16.8958 11.8657 16.8958 11.8753 16.8958 11.9187 16.8958 12.0035 16.8958 12.0624 16.8958 12.1865 Parámetros Críticos Para el etanol Para el Agua Para la mezcla Tc/kPa 513.9000 Tc/kPa 647.1000 Tc/kPa 576.6669 ω 0.6450 ω 0.3450 ω 0.4950 Pc/bar 61.4800 Pc/bar 220.5500 Pc/bar 110.7282 Pc/kPa 6148.0000 Pc/kPa 22055.0000 Pc/kPa 11072.8240 Vc/cm3mol-1 167.0000 Vc/cm3mol-1 55.9000 Vc/cm3mol-1 101.5359 Zc 0.2400 Zc 0.2290 Zc 0.2345 MasaMolar 46.0690 MasaMolar 18.0150 *bar/mol*K) 83.1400 Log10 P Sat

Transcript of Temperatura de Burbuja 1

Page 1: Temperatura de Burbuja 1

alfa T expe/ªC X1= Etanol X2= Agua Y1= Etanol Y2= Agua X1/X21.5400 95.5000 0.0190 0.9810 0.1700 0.8300 0.0194

beta 89.0000 0.0721 0.9279 0.3891 0.6109 0.07770.9700 86.7000 0.0966 0.9034 0.3750 0.6250 0.1069

alfabeta 85.3000 0.1231 0.8769 0.4704 0.5296 0.14041.5876 84.1000 0.1661 0.8339 0.5019 0.4981 0.1992

betaalfa 82.7000 0.2337 0.7663 0.5445 0.4555 0.30500.6299 82.3000 0.2608 0.7392 0.5580 0.4420 0.3528

81.5000 0.3273 0.6727 0.5826 0.4174 0.486580.7000 0.3965 0.6035 0.6122 0.3878 0.657079.8000 0.5079 0.4921 0.6564 0.3436 1.032179.7000 0.5198 0.4802 0.6599 0.3401 1.082579.3000 0.5732 0.4268 0.6841 0.3159 1.343078.7400 0.6763 0.3237 0.7365 0.2635 2.089378.4100 0.7472 0.2528 0.7815 0.2185 2.955778.1500 0.8941 0.1059 0.8945 0.1055 8.4429

Constantes de AntoineEtanol

A B so T m C16.8958 11.4831 5.4127

Etanol Agua 16.8958 11.5234 5.3724A 16.8958 16.3872 16.8958 11.5421 5.3537B 3795.1700 3885.7000 16.8958 11.5625 5.3333C 230.9180 230.1700 16.8958 11.5956 5.3002

4.6183 4.6183 16.8958 11.6480 5.2478T Sat 78.1987 99.9977 16.8958 11.6692 5.2266

16.8958 11.7214 5.1744P 101.3250 16.8958 11.7763 5.1195

16.8958 11.8657 5.030116.8958 11.8753 5.020516.8958 11.9187 4.977116.8958 12.0035 4.892316.8958 12.0624 4.833416.8958 12.1865 4.7093

Parámetros CríticosPara el etanol Para el Agua Para la mezcla

Tc/kPa 513.9000 Tc/kPa 647.1000 Tc/kPa 576.6669ω 0.6450 ω 0.3450 ω 0.4950

Pc/bar 61.4800 Pc/bar 220.5500 Pc/bar 110.7282Pc/kPa 6148.0000 Pc/kPa 22055.0000 Pc/kPa 11072.8240

Vc/cm3mol-1 167.0000 Vc/cm3mol-1 55.9000 Vc/cm3mol-1 101.5359Zc 0.2400 Zc 0.2290 Zc 0.2345

MasaMolar 46.0690 MasaMolar 18.0150 3*bar/mol*K) 83.1400

LnP2

Log10 P Sat

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PRIMERA ITERACIONETANOL

T mezcla Tred ETA Tred AGUA Tred MEZCLA368.8354 0.7177 0.5700 0.6396 -0.6344 -0.5537 -0.9916362.0968 0.7046 0.5596 0.6279 -0.6559 -0.6094 -1.0490360.3065 0.7011 0.5568 0.6248 -0.6618 -0.6252 -1.0650358.8638 0.6983 0.5546 0.6223 -0.6666 -0.6382 -1.0782357.2143 0.6951 0.5520 0.6194 -0.6721 -0.6534 -1.0936355.5898 0.6919 0.5495 0.6166 -0.6777 -0.6687 -1.1090355.1280 0.6910 0.5488 0.6158 -0.6793 -0.6731 -1.1134354.2467 0.6893 0.5474 0.6143 -0.6823 -0.6816 -1.1219353.5530 0.6880 0.5464 0.6131 -0.6847 -0.6884 -1.1287352.6751 0.6863 0.5450 0.6116 -0.6878 -0.6971 -1.1374352.5929 0.6861 0.5449 0.6114 -0.6880 -0.6979 -1.1382352.2474 0.6854 0.5443 0.6108 -0.6893 -0.7013 -1.1416351.6902 0.6844 0.5435 0.6099 -0.6912 -0.7070 -1.1472351.4039 0.6838 0.5430 0.6094 -0.6922 -0.7099 -1.1501351.1471 0.6833 0.5426 0.6089 -0.6931 -0.7125 -1.1527

B0 B1 B11

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X2/X1 Ln r1 Ln r2 r1 van laar r2 van laar T calulado P1 Sat51.6316 1.4495 0.0009 4.2609 1.0009 99.5835 224.244512.8696 1.2203 0.0117 3.3883 1.0118 98.4260 215.3745

9.3520 1.1254 0.0204 3.0816 1.0206 97.8919 211.38087.1235 1.0298 0.0322 2.8005 1.0327 97.3143 207.13025.0205 0.8889 0.0560 2.4325 1.0576 96.3769 200.38353.2790 0.6991 0.1032 2.0120 1.1087 94.9033 190.14542.8344 0.6327 0.1250 1.8827 1.1332 94.3125 186.16462.0553 0.4902 0.1842 1.6326 1.2023 92.8629 176.68811.5221 0.3689 0.2528 1.4462 1.2877 91.3544 167.25510.9689 0.2212 0.3741 1.2476 1.4537 88.9260 152.94970.9238 0.2084 0.3876 1.2317 1.4735 88.6666 151.48370.7446 0.1570 0.4495 1.1700 1.5675 87.5025 145.04800.4786 0.0826 0.5727 1.0861 1.7730 85.2550 133.26530.3383 0.0475 0.6591 1.0487 1.9331 83.7095 125.63450.1184 0.0074 0.8400 1.0075 2.3163 80.5072 110.9792

Agua Φi Ecuacion (14.13)A B so T m C 1.0000

16.3872 11.7836 4.6036 Φj 0.0810 0.9818 0.040516.3872 11.8252 4.5620 2.0000 0.2443 0.9388 0.122116.3872 11.8444 4.5428 0.2977 0.9220 0.148816.3872 11.8653 4.5219 0.3447 0.9056 0.172416.3872 11.8994 4.4878 0.4040 0.8819 0.202016.3872 11.9533 4.4339 0.4702 0.8496 0.235116.3872 11.9751 4.4121 0.4910 0.8377 0.245516.3872 12.0288 4.3584 0.5344 0.8088 0.267216.3872 12.0852 4.3020 0.5734 0.7771 0.286716.3872 12.1772 4.2100 0.6336 0.7153 0.316816.3872 12.1871 4.2001 0.6402 0.7076 0.320116.3872 12.2318 4.1554 0.6706 0.6690 0.335316.3872 12.3189 4.0683 0.7346 0.5739 0.367316.3872 12.3796 4.0076 0.7836 0.4887 0.391816.3872 12.5072 3.8800 0.9008 0.2453 0.4504

Sigma 7.8041 11.3033 3.9020

ConstanteR 8.3140

Ln P2 x1r1/Φ1 x2r2/Φ1 x1r1/Φ2

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PRIMERA ITERACIONAGUA MEZCLA

-0.9544 -1.6845 -1.5355 -0.7797 -0.9849 -1.2672 -0.0073-0.9854 -1.8314 -1.6173 -0.8055 -1.0754 -1.3378 -0.0094-0.9939 -1.8728 -1.6401 -0.8126 -1.1009 -1.3576 -0.0100-1.0009 -1.9070 -1.6588 -0.8184 -1.1220 -1.3738 -0.0105-1.0089 -1.9470 -1.6806 -0.8250 -1.1466 -1.3926 -0.0111-1.0169 -1.9873 -1.7025 -0.8317 -1.1715 -1.4116 -0.0117-1.0192 -1.9989 -1.7088 -0.8336 -1.1786 -1.4170 -0.0118-1.0236 -2.0213 -1.7209 -0.8372 -1.1925 -1.4275 -0.0122-1.0270 -2.0392 -1.7306 -0.8401 -1.2035 -1.4359 -0.0124-1.0315 -2.0621 -1.7429 -0.8438 -1.2176 -1.4465 -0.0128-1.0319 -2.0642 -1.7440 -0.8442 -1.2189 -1.4475 -0.0128-1.0336 -2.0733 -1.7489 -0.8456 -1.2245 -1.4517 -0.0129-1.0365 -2.0881 -1.7569 -0.8480 -1.2336 -1.4586 -0.0131-1.0379 -2.0957 -1.7609 -0.8492 -1.2383 -1.4621 -0.0133-1.0392 -2.1026 -1.7646 -0.8503 -1.2425 -1.4653 -0.0134

B0 B1 B22 B0 B1 B12 δ12

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PRIMERA BURBUJAP2 Sat Pji St (14.13) T2 calcudo Suiguiente P2 sat y1(12.9) y2

99.8382 195.5236 95.6854

Recuadro

86.7113 0.1562 0.843895.7788 153.0675 88.9468 67.4090 0.3691 0.630993.9526 143.1794 87.1565 62.9338 0.4206 0.579492.0100 135.6032 85.7138 59.5108 0.4614 0.538688.9289 127.3533 84.0643 55.7896 0.5078 0.492284.2590 119.6418 82.4398 52.3174 0.5552 0.444882.4452 117.5219 81.9780 51.3639 0.5695 0.430578.1316 113.5641 81.0967 49.5853 0.5989 0.401173.8443 110.5273 80.4030 48.2217 0.6255 0.374567.3557 106.7821 79.5251 46.5415 0.6678 0.332266.6916 106.4370 79.4429 46.3867 0.6725 0.327563.7788 104.9963 79.0974 45.7409 0.6949 0.305158.4556 102.7070 78.5402 44.7151 0.7446 0.255455.0151 101.5473 78.2539 44.1958 0.7853 0.214748.4245 100.5164 77.9971 43.7343 0.8936 0.1064

Ecuacion (14.13) Ecuacion (12.9)PiSat/PjSat x1*r1*pisat ΦiP

0.4909 0.4452 15.8291 101.32500.4694 0.4447 37.3943 101.32500.4610 0.4445 42.6218 101.32500.4528 0.4442 46.7488 101.32500.4410 0.4438 51.4550 101.32500.4248 0.4431 56.2551 101.32500.4188 0.4429 57.7036 101.32500.4044 0.4422 60.6843 101.32500.3886 0.4415 63.3783 101.32500.3577 0.4404 67.6612 101.32500.3538 0.4403 68.1436 101.32500.3345 0.4397 70.4128 101.32500.2870 0.4386 75.4443 101.32500.2443 0.4379 79.5691 101.32500.1227 0.4363 90.5413 101.32505.6516 6.6253

x2r2/Φ2

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SEGUNDO ITERACIONETANOL

T mezcla Tred ETA Tred AGUA Tred MEZCLA367.5902 0.7153 0.5681 0.6374 -0.6383 -0.5636361.0178 0.7025 0.5579 0.6260 -0.6595 -0.6189359.2557 0.6991 0.5552 0.6230 -0.6653 -0.6346357.8308 0.6963 0.5530 0.6205 -0.6701 -0.6476356.1956 0.6931 0.5504 0.6177 -0.6756 -0.6629354.5772 0.6900 0.5479 0.6149 -0.6812 -0.6784354.1151 0.6891 0.5472 0.6141 -0.6828 -0.6829353.2307 0.6874 0.5459 0.6125 -0.6858 -0.6916352.5320 0.6860 0.5448 0.6113 -0.6883 -0.6985351.6467 0.6843 0.5434 0.6098 -0.6914 -0.7074351.5639 0.6841 0.5433 0.6096 -0.6917 -0.7082351.2163 0.6834 0.5428 0.6090 -0.6929 -0.7118350.6591 0.6823 0.5419 0.6081 -0.6949 -0.7174350.3773 0.6818 0.5415 0.6076 -0.6959 -0.7203350.1482 0.6814 0.5411 0.6072 -0.6967 -0.7227

B0 B1

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PRIMERA BURBUJA SEGUNDA BURBUJAΦi eta Φi agua PjSAT T3 calcudo % error P2 sat y1(12.9)

0.9678 0.9504 187.0192 94.4402 1.3184 82.8345 0.15440.9659 0.9479 147.0425 87.8678 1.2279 64.6812 0.36700.9654 0.9472 137.6275 86.1057 1.2203 60.4249 0.41880.9650 0.9466 130.3863 84.6808 1.2199 57.1569 0.45970.9645 0.9459 122.4706 83.0456 1.2267 53.5903 0.50630.9640 0.9453 115.0349 81.4272 1.2437 50.2461 0.55380.9638 0.9451 112.9826 80.9651 1.2510 49.3241 0.56800.9635 0.9447 109.1398 80.0807 1.2688 47.5990 0.59740.9633 0.9444 106.1818 79.3820 1.2861 46.2723 0.62380.9630 0.9440 102.5303 78.4967 1.3101 44.6360 0.66580.9630 0.9440 102.1943 78.4139 1.3123 44.4855 0.67050.9629 0.9438 100.7934 78.0663 1.3208 43.8583 0.69280.9627 0.9436 98.5814 77.5091 1.3302 42.8683 0.74240.9626 0.9435 97.4783 77.2273 1.3293 42.3749 0.78310.9625 0.9434 96.5889 76.9982 1.2974 41.9772 0.8922

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SEGUNDO ITERACIONETANOL AGUA MEZCLA

-1.0018 -0.9600 -1.7106 -1.5502 -0.7844 -1.0009 -1.2799-1.0586 -0.9905 -1.8562 -1.6309 -0.8098 -1.0907 -1.3497-1.0746 -0.9990 -1.8976 -1.6537 -0.8168 -1.1162 -1.3693-1.0878 -1.0059 -1.9319 -1.6724 -0.8225 -1.1373 -1.3855-1.1032 -1.0139 -1.9721 -1.6943 -0.8292 -1.1621 -1.4045-1.1187 -1.0219 -2.0129 -1.7164 -0.8359 -1.1873 -1.4236-1.1232 -1.0242 -2.0247 -1.7228 -0.8378 -1.1945 -1.4291-1.1319 -1.0287 -2.0476 -1.7351 -0.8415 -1.2086 -1.4398-1.1388 -1.0322 -2.0658 -1.7449 -0.8444 -1.2199 -1.4483-1.1476 -1.0367 -2.0892 -1.7575 -0.8482 -1.2343 -1.4591-1.1485 -1.0371 -2.0914 -1.7587 -0.8485 -1.2357 -1.4602-1.1520 -1.0389 -2.1007 -1.7636 -0.8500 -1.2414 -1.4645-1.1576 -1.0417 -2.1157 -1.7717 -0.8524 -1.2506 -1.4714-1.1605 -1.0432 -2.1233 -1.7757 -0.8536 -1.2553 -1.4749-1.1628 -1.0444 -2.1296 -1.7791 -0.8545 -1.2592 -1.4778

B11 B0 B1 B22 B0 B1 B12

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SEGUNDA BURBUJA TERCERA BURBUJAy2 Φi eta Φi agua PjSAT T4 calcudo % error P3 sat

0.8456 0.9674 0.9389 185.2827 94.1802 0.2761 82.04350.6330 0.9656 0.9409 146.4446 87.7587 0.1243 64.41060.5812 0.9651 0.9412 137.1891 86.0213 0.0982 60.22690.5403 0.9647 0.9413 130.0491 84.6129 0.0803 57.00480.4937 0.9642 0.9414 122.2256 82.9936 0.0627 53.48010.4462 0.9637 0.9414 114.8618 81.3885 0.0476 50.16830.4320 0.9635 0.9414 112.8274 80.9299 0.0436 49.25440.4026 0.9632 0.9414 109.0162 80.0518 0.0361 47.54360.3762 0.9630 0.9415 106.0816 79.3581 0.0302 46.22740.3342 0.9627 0.9416 102.4589 78.4791 0.0224 44.60400.3295 0.9627 0.9416 102.1255 78.3970 0.0217 44.45470.3072 0.9625 0.9417 100.7358 78.0519 0.0184 43.83250.2576 0.9624 0.9419 98.5418 77.4990 0.0130 42.85060.2169 0.9622 0.9422 97.4475 77.2194 0.0102 42.36110.1078 0.9621 0.9427 96.5643 76.9918 0.0083 41.9662

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SEGUNDO ITERACION TERCERA ITERACIONETANOL

T mezcla Tred ETA Tred AGUA Tred MEZCLA-0.0077 367.3302 0.7148 0.5677 0.6370 -0.6392-0.0098 360.9087 0.7023 0.5577 0.6259 -0.6598-0.0104 359.1713 0.6989 0.5550 0.6228 -0.6656-0.0109 357.7629 0.6962 0.5529 0.6204 -0.6703-0.0114 356.1436 0.6930 0.5504 0.6176 -0.6758-0.0120 354.5385 0.6899 0.5479 0.6148 -0.6813-0.0122 354.0799 0.6890 0.5472 0.6140 -0.6829-0.0125 353.2018 0.6873 0.5458 0.6125 -0.6859-0.0128 352.5081 0.6859 0.5448 0.6113 -0.6883-0.0132 351.6291 0.6842 0.5434 0.6098 -0.6914-0.0132 351.5470 0.6841 0.5433 0.6096 -0.6917-0.0133 351.2019 0.6834 0.5427 0.6090 -0.6929-0.0136 350.6490 0.6823 0.5419 0.6081 -0.6949-0.0137 350.3694 0.6818 0.5414 0.6076 -0.6959-0.0138 350.1418 0.6813 0.5411 0.6072 -0.6967

δ12 B0

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TERCERA BURBUJAy1(12.9) y2 Φi eta Φi agua PjSAT T5 calcudo % error

0.1530 0.8470 0.9674 0.9499 187.1571 94.4608 0.29700.3657 0.6343 0.9656 0.9474 147.0949 87.8774 0.13500.4176 0.5824 0.9651 0.9467 137.6668 86.1133 0.10690.4587 0.5413 0.9646 0.9462 130.4167 84.6869 0.08740.5055 0.4945 0.9641 0.9455 122.4923 83.0502 0.06820.5531 0.4469 0.9636 0.9448 115.0492 81.4304 0.05140.5675 0.4325 0.9635 0.9446 112.9949 80.9679 0.04700.5969 0.4031 0.9632 0.9442 109.1482 80.0826 0.03850.6234 0.3766 0.9630 0.9439 106.1869 79.3832 0.03170.6656 0.3344 0.9627 0.9436 102.5306 78.4968 0.02250.6703 0.3297 0.9627 0.9435 102.1940 78.4139 0.02160.6927 0.3073 0.9625 0.9434 100.7907 78.0656 0.01760.7423 0.2577 0.9623 0.9431 98.5735 77.5071 0.01040.7831 0.2169 0.9622 0.9430 97.4662 77.2242 0.00620.8922 0.1078 0.9621 0.9429 96.5665 76.9923 0.0007

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TERCERA ITERACIONETANOL AGUA MEZCLA

-0.5657 -1.0040 -0.9612 -1.7161 -1.5532 -0.7854 -1.0043-0.6198 -1.0596 -0.9911 -1.8587 -1.6323 -0.8102 -1.0922-0.6354 -1.0754 -0.9994 -1.8996 -1.6548 -0.8171 -1.1175-0.6483 -1.0884 -1.0062 -1.9336 -1.6733 -0.8228 -1.1384-0.6634 -1.1037 -1.0142 -1.9734 -1.6950 -0.8294 -1.1629-0.6788 -1.1191 -1.0221 -2.0139 -1.7169 -0.8360 -1.1879-0.6832 -1.1236 -1.0244 -2.0256 -1.7232 -0.8379 -1.1951-0.6918 -1.1322 -1.0288 -2.0483 -1.7355 -0.8416 -1.2091-0.6987 -1.1390 -1.0323 -2.0665 -1.7452 -0.8445 -1.2203-0.7076 -1.1478 -1.0368 -2.0897 -1.7577 -0.8482 -1.2346-0.7084 -1.1486 -1.0372 -2.0919 -1.7589 -0.8486 -1.2359-0.7119 -1.1521 -1.0390 -2.1011 -1.7638 -0.8500 -1.2416-0.7176 -1.1577 -1.0418 -2.1160 -1.7718 -0.8524 -1.2508-0.7204 -1.1606 -1.0432 -2.1236 -1.7758 -0.8536 -1.2555-0.7228 -1.1629 -1.0444 -2.1297 -1.7792 -0.8546 -1.2593

B1 B11 B0 B1 B22 B0 B1

Page 13: Temperatura de Burbuja 1

CUARTA BURBUJAP3 sat y1(12.9) y2 Φi eta Φi agua PjSAT T5 calcudo

82.8973 0.1546 0.8454 0.9687 0.9450 186.3334 94.337864.7049 0.3673 0.6327 0.9678 0.9405 146.5172 87.772060.4426 0.4191 0.5809 0.9675 0.9392 137.1615 86.015957.1706 0.4600 0.5400 0.9673 0.9381 129.9711 84.597153.6001 0.5066 0.4934 0.9670 0.9369 122.1171 82.970650.2525 0.5540 0.4460 0.9667 0.9356 114.7473 81.362849.3296 0.5683 0.4317 0.9667 0.9353 112.7153 80.904447.6028 0.5976 0.4024 0.9665 0.9346 108.9143 80.028046.2746 0.6240 0.3760 0.9664 0.9340 105.9942 79.337244.6361 0.6660 0.3340 0.9662 0.9333 102.4030 78.465444.4854 0.6708 0.3292 0.9662 0.9332 102.0737 78.384243.8571 0.6930 0.3070 0.9662 0.9329 100.7047 78.044242.8648 0.7426 0.2574 0.9660 0.9325 98.5631 77.504442.3695 0.7833 0.2167 0.9660 0.9322 97.5176 77.237441.9671 0.8922 0.1078 0.9659 0.9320 96.7824 77.0482

Page 14: Temperatura de Burbuja 1

TERCERA ITERACION CUARTA ITERACIONMEZCLA

T mezcla Tred ETA Tred AGUA Tred MEZCLA-1.2825 -0.0078 367.6108 0.7153 0.5681 0.6375-1.3509 -0.0098 361.0274 0.7025 0.5579 0.6261-1.3703 -0.0104 359.2633 0.6991 0.5552 0.6230-1.3863 -0.0109 357.8369 0.6963 0.5530 0.6205-1.4051 -0.0115 356.2002 0.6931 0.5505 0.6177-1.4240 -0.0121 354.5804 0.6900 0.5480 0.6149-1.4295 -0.0122 354.1179 0.6891 0.5472 0.6141-1.4401 -0.0126 353.2326 0.6874 0.5459 0.6125-1.4485 -0.0128 352.5332 0.6860 0.5448 0.6113-1.4594 -0.0132 351.6468 0.6843 0.5434 0.6098-1.4604 -0.0132 351.5639 0.6841 0.5433 0.6096-1.4646 -0.0133 351.2156 0.6834 0.5428 0.6090-1.4715 -0.0136 350.6571 0.6823 0.5419 0.6081-1.4750 -0.0137 350.3742 0.6818 0.5415 0.6076-1.4779 -0.0138 350.1423 0.6813 0.5411 0.6072

B12 δ12

Page 15: Temperatura de Burbuja 1

CUARTA BURBUJA QUINTA BURBUJA% error P3 sat y1(12.9) y2 Φi eta Φi agua PjSAT

0.1304 82.5220 0.1537 0.8463 0.9674 0.9499 187.14260.1200 64.4435 0.3650 0.6350 0.9656 0.9474 147.09430.1132 60.2144 0.4165 0.5835 0.9651 0.9467 137.66690.1061 56.9697 0.4572 0.5428 0.9646 0.9462 130.41710.0960 53.4313 0.5036 0.4964 0.9641 0.9455 122.49280.0830 50.1169 0.5508 0.4492 0.9636 0.9448 115.04960.0785 49.2040 0.5650 0.4350 0.9635 0.9446 112.99520.0683 47.4978 0.5943 0.4057 0.9632 0.9442 109.14840.0581 46.1882 0.6207 0.3793 0.9630 0.9439 106.18700.0400 44.5790 0.6628 0.3372 0.9627 0.9435 102.53060.0379 44.4315 0.6675 0.3325 0.9627 0.9435 102.19410.0275 43.8185 0.6899 0.3101 0.9625 0.9434 100.79080.0034 42.8601 0.7397 0.2603 0.9624 0.9431 98.57360.0171 42.3925 0.7807 0.2193 0.9623 0.9430 97.46650.0724 42.0637 0.8907 0.1093 0.9621 0.9429 96.5678

Page 16: Temperatura de Burbuja 1

CUARTA ITERACIONETANOL AGUA MEZCLA

-0.6383 -0.5634 -1.0017 -0.9599 -1.7102 -1.5499 -0.7843-0.6594 -0.6188 -1.0585 -0.9905 -1.8560 -1.6308 -0.8097-0.6653 -0.6345 -1.0745 -0.9989 -1.8975 -1.6536 -0.8168-0.6700 -0.6476 -1.0877 -1.0059 -1.9318 -1.6723 -0.8225-0.6756 -0.6629 -1.1031 -1.0139 -1.9720 -1.6942 -0.8292-0.6811 -0.6784 -1.1187 -1.0219 -2.0128 -1.7163 -0.8359-0.6827 -0.6829 -1.1232 -1.0242 -2.0247 -1.7227 -0.8378-0.6858 -0.6915 -1.1319 -1.0287 -2.0475 -1.7350 -0.8415-0.6883 -0.6985 -1.1388 -1.0322 -2.0658 -1.7449 -0.8444-0.6914 -0.7074 -1.1476 -1.0367 -2.0892 -1.7575 -0.8482-0.6917 -0.7082 -1.1485 -1.0371 -2.0914 -1.7587 -0.8485-0.6929 -0.7118 -1.1520 -1.0389 -2.1007 -1.7636 -0.8500-0.6949 -0.7175 -1.1576 -1.0417 -2.1158 -1.7717 -0.8524-0.6959 -0.7204 -1.1605 -1.0432 -2.1234 -1.7758 -0.8536-0.6967 -0.7228 -1.1629 -1.0444 -2.1297 -1.7791 -0.8546

B0 B1 B11 B0 B1 B22 B0

Page 17: Temperatura de Burbuja 1

QUINTA BURBUJA SEXTA BURBUJAT5 calcudo % error P3 sat y1(12.9) y2 Φi eta Φi agua

94.4586 0.1279 82.8907 0.1546 0.8454 0.9674 0.950087.8772 0.1197 64.7046 0.3673 0.6327 0.9656 0.947586.1133 0.1131 60.4427 0.4191 0.5809 0.9651 0.946884.6870 0.1061 57.1708 0.4600 0.5400 0.9647 0.946283.0503 0.0960 53.6003 0.5066 0.4934 0.9642 0.945581.4304 0.0830 50.2527 0.5540 0.4460 0.9637 0.944880.9679 0.0785 49.3297 0.5683 0.4317 0.9635 0.944680.0827 0.0683 47.6029 0.5976 0.4024 0.9632 0.944379.3833 0.0581 46.2746 0.6240 0.3760 0.9630 0.943978.4968 0.0400 44.6362 0.6660 0.3340 0.9627 0.943678.4139 0.0379 44.4854 0.6708 0.3292 0.9627 0.943578.0657 0.0275 43.8571 0.6930 0.3070 0.9625 0.943477.5071 0.0035 42.8648 0.7426 0.2574 0.9624 0.943177.2243 0.0170 42.3696 0.7833 0.2167 0.9622 0.943076.9927 0.0720 41.9677 0.8922 0.1078 0.9621 0.9429

Page 18: Temperatura de Burbuja 1

CUARTA ITERACIONMEZCLA

T mezcla Tred ETA Tred AGUA-1.0007 -1.2796 -0.0077 367.4878 0.7151 0.5679-1.0905 -1.3496 -0.0098 360.9220 0.7023 0.5578-1.1161 -1.3692 -0.0104 359.1659 0.6989 0.5550-1.1373 -1.3855 -0.0109 357.7471 0.6961 0.5528-1.1621 -1.4044 -0.0114 356.1206 0.6930 0.5503-1.1872 -1.4235 -0.0120 354.5128 0.6898 0.5478-1.1945 -1.4291 -0.0122 354.0544 0.6890 0.5471-1.2086 -1.4397 -0.0125 353.1780 0.6873 0.5458-1.2199 -1.4482 -0.0128 352.4872 0.6859 0.5447-1.2343 -1.4591 -0.0132 351.6154 0.6842 0.5434-1.2357 -1.4602 -0.0132 351.5342 0.6841 0.5432-1.2414 -1.4645 -0.0133 351.1942 0.6834 0.5427-1.2507 -1.4714 -0.0136 350.6544 0.6823 0.5419-1.2554 -1.4750 -0.0137 350.3874 0.6818 0.5415-1.2593 -1.4779 -0.0138 350.1982 0.6815 0.5412

B1 B12 δ12

Page 19: Temperatura de Burbuja 1

SEXTA BURBUJAPjSAT T5 calcudo % error

187.1315 94.4570 0.0017147.0897 87.8764 0.0010137.6636 86.1127 0.0007130.4146 84.6865 0.0006122.4911 83.0500 0.0004115.0486 81.4302 0.0003112.9944 80.9678 0.0002109.1479 80.0826 0.0001106.1867 79.3832 0.0001102.5306 78.4968 0.0000102.1940 78.4139 0.0000100.7908 78.0657 0.0000

98.5736 77.5071 0.000097.4663 77.2242 0.000196.5665 76.9923 0.0004

Page 20: Temperatura de Burbuja 1

QUINTA ITERACIONETANOL AGUA

Tred MEZCLA0.6373 -0.6387 -0.5644 -1.0027 -0.9605 -1.7128 -1.55140.6259 -0.6598 -0.6197 -1.0595 -0.9910 -1.8584 -1.63220.6228 -0.6656 -0.6354 -1.0754 -0.9994 -1.8998 -1.65480.6204 -0.6703 -0.6484 -1.0886 -1.0063 -1.9339 -1.67350.6175 -0.6759 -0.6636 -1.1039 -1.0143 -1.9740 -1.69530.6148 -0.6814 -0.6790 -1.1193 -1.0222 -2.0145 -1.71730.6140 -0.6830 -0.6835 -1.1238 -1.0245 -2.0263 -1.72360.6124 -0.6860 -0.6921 -1.1324 -1.0289 -2.0489 -1.73580.6112 -0.6884 -0.6989 -1.1392 -1.0324 -2.0670 -1.74550.6097 -0.6915 -0.7077 -1.1480 -1.0368 -2.0901 -1.75790.6096 -0.6918 -0.7085 -1.1488 -1.0373 -2.0922 -1.75910.6090 -0.6930 -0.7120 -1.1522 -1.0390 -2.1013 -1.76400.6081 -0.6949 -0.7175 -1.1577 -1.0418 -2.1158 -1.77170.6076 -0.6958 -0.7202 -1.1604 -1.0431 -2.1231 -1.77560.6073 -0.6965 -0.7222 -1.1623 -1.0441 -2.1282 -1.7783

B0 B1 B11 B0 B1 B22

Page 21: Temperatura de Burbuja 1

QUINTA ITERACIONMEZCLA

T mezcla Tred ETA-0.7848 -1.0023 -1.2809 -0.0077 367.6086 0.7153-0.8102 -1.0921 -1.3507 -0.0098 361.0272 0.7025-0.8172 -1.1175 -1.3703 -0.0104 359.2633 0.6991-0.8229 -1.1386 -1.3865 -0.0109 357.8370 0.6963-0.8295 -1.1633 -1.4053 -0.0115 356.2003 0.6931-0.8361 -1.1883 -1.4243 -0.0121 354.5804 0.6900-0.8380 -1.1955 -1.4298 -0.0122 354.1179 0.6891-0.8417 -1.2095 -1.4404 -0.0126 353.2327 0.6874-0.8446 -1.2206 -1.4488 -0.0128 352.5333 0.6860-0.8483 -1.2348 -1.4595 -0.0132 351.6468 0.6843-0.8486 -1.2361 -1.4605 -0.0132 351.5639 0.6841-0.8501 -1.2417 -1.4647 -0.0133 351.2157 0.6834-0.8524 -1.2507 -1.4715 -0.0136 350.6571 0.6823-0.8535 -1.2552 -1.4748 -0.0137 350.3743 0.6818-0.8543 -1.2583 -1.4772 -0.0137 350.1427 0.6813

B0 B1 B12 δ12

Page 22: Temperatura de Burbuja 1

SEXTA ITERACIONETANOL AGUA

Tred AGUA Tred MEZCLA0.5681 0.6375 -0.6383 -0.5634 -1.0017 -0.9599 -1.71020.5579 0.6261 -0.6594 -0.6188 -1.0585 -0.9905 -1.85600.5552 0.6230 -0.6653 -0.6345 -1.0745 -0.9989 -1.89750.5530 0.6205 -0.6700 -0.6476 -1.0877 -1.0059 -1.93180.5505 0.6177 -0.6756 -0.6629 -1.1031 -1.0139 -1.97200.5480 0.6149 -0.6811 -0.6784 -1.1187 -1.0219 -2.01280.5472 0.6141 -0.6827 -0.6829 -1.1232 -1.0242 -2.02460.5459 0.6125 -0.6858 -0.6915 -1.1319 -1.0287 -2.04750.5448 0.6113 -0.6883 -0.6985 -1.1388 -1.0322 -2.06580.5434 0.6098 -0.6914 -0.7074 -1.1476 -1.0367 -2.08920.5433 0.6096 -0.6917 -0.7082 -1.1485 -1.0371 -2.09140.5428 0.6090 -0.6929 -0.7118 -1.1520 -1.0389 -2.10070.5419 0.6081 -0.6949 -0.7175 -1.1576 -1.0417 -2.11580.5415 0.6076 -0.6959 -0.7204 -1.1605 -1.0432 -2.12340.5411 0.6072 -0.6967 -0.7228 -1.1629 -1.0444 -2.1297

B0 B1 B11 B0 B1

Page 23: Temperatura de Burbuja 1

SEXTA ITERACIONAGUA MEZCLA

-1.5499 -0.7843 -1.0007 -1.2797 -0.0077-1.6308 -0.8097 -1.0905 -1.3496 -0.0098-1.6536 -0.8168 -1.1161 -1.3692 -0.0104-1.6723 -0.8225 -1.1372 -1.3855 -0.0109-1.6942 -0.8292 -1.1621 -1.4044 -0.0114-1.7163 -0.8359 -1.1872 -1.4235 -0.0120-1.7227 -0.8378 -1.1945 -1.4291 -0.0122-1.7350 -0.8415 -1.2086 -1.4397 -0.0125-1.7449 -0.8444 -1.2199 -1.4482 -0.0128-1.7575 -0.8482 -1.2343 -1.4591 -0.0132-1.7587 -0.8485 -1.2357 -1.4602 -0.0132-1.7636 -0.8500 -1.2414 -1.4645 -0.0133-1.7717 -0.8524 -1.2507 -1.4714 -0.0136-1.7758 -0.8536 -1.2554 -1.4750 -0.0137-1.7791 -0.8546 -1.2592 -1.4779 -0.0138

B22 B0 B1 B12 δ12

Page 24: Temperatura de Burbuja 1

y a0 a1x error0.2 0.04550.1 0.0256

0.05 0.01540.02 0.00980.01 0.0083

0.005 0.0074

na0 sumaa1xi sumayisumaa1xi sumaa1xi^2 sumaxiyisumaa1xi^2 sumaa1xi^3 sumaxi^2yi

6 0.112 0.3850.112 0 0

0.196 5.10204082 0.196

Page 25: Temperatura de Burbuja 1

0.085034010.262686

0.16135520.10941680.08090160.07326360.0686808

0.031-0.17268

-0.22365.0919 -0.0309 -0.4782

-0.98740.006 166.666667

Page 26: Temperatura de Burbuja 1

Y ao x a1

0.262686 0.031 0.0455 5.09200.1613552 0.02560.1094168 0.01540.0809016 0.00980.0732636 0.00830.0686808 0.0074

0.031 0-0.17268 -0.04

-0.2236 -0.05-0.4782 -0.1-0.9874 -0.2

-1.2 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

f(x) = 0.196386488609584 x − 0.0060879811468971R² = 1

Chart Title

Column ILinear (Column I)

Axis Title

Axis

Title

Page 27: Temperatura de Burbuja 1

0.04550.02560.01540.00980.00830.0074

0-0.04-0.05

-0.1-0.2

-1.2 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

f(x) = 0.196386488609584 x − 0.0060879811468971R² = 1

Chart Title

Column ILinear (Column I)

Axis Title

Axis

Title

Page 28: Temperatura de Burbuja 1

-1.2 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

f(x) = 0.196386488609584 x − 0.0060879811468971R² = 1

Chart Title

Column ILinear (Column I)

Axis Title

Axis

Title

Page 29: Temperatura de Burbuja 1

-1.2 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

f(x) = 0.196386488609584 x − 0.0060879811468971R² = 1

Chart Title

Column ILinear (Column I)

Axis Title

Axis

Title