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PERSAMAAN ANTOINE MASING-MASING KOMPONEN US PATENT NO. US20150065 KONSTANTA PERSAMAAN ANTOINE MASING-MASING KOMPONEN (Data Physical Properties from : Coulson & Richardson's Chemical Engineering Vol.6, Appendix D) Komponen Trigliserida FAME Metanol Air Gliserol

A 18.2445 9.4297 18.5875 18.3036 17.2392

B 5884.4900 1958.7700 3626.5500 3816.4400 4487.0400

C -127.2600 -96.9900 -34.2900 -46.1300 -140.2000

Td (0C) 362.3000 212.0000 64.6000 100.0000 289.8000

Rumus Persamaan Antoine: 172.3689 bar

Keterangan = T dalam kelvin dan P dalam mmHg P ti sat =

ln P =

175.0000 atm Bi / Ai-lnP

*Ci

11.7981

=

133000.0000

ENT NO. US20150065745

ering Vol.6, Appendix D) Td (K) 635.3000 *oleic acid 485.0000 337.6000 373.0000 562.8000

=

mmHg

175.0000 atm

VLE Metanol-Air Komponen Metanol (1) Air (2)

A

B 3626.5500 3816.4400

18.5875 18.3036

P ln P

C -34.2900 -46.1300

Td (0C) 64.6000 100.0000

11.7981 K

T1 sat T2 sat P1 sat

290.0000 300.0000 310.0000 320.0000 330.0000 340.0000 350.0000 360.0000

563.1500 573.1500 583.1500 593.1500 603.1500 613.1500 623.1500 633.1500

568.4388 632.7782 mmHg 11.7302 124268.9159 11.8575 141133.1150 11.9801 159544.3696 12.0983 179567.7253 12.2124 201265.7276 12.3225 224698.2450 12.4289 249922.3197 12.5317 276992.0443

P2 sat

290.0000 300.0000 310.0000 320.0000 330.0000 340.0000 350.0000 360.0000

563.1500 573.1500 583.1500 593.1500 603.1500 613.1500 623.1500 633.1500

10.9220 11.0621 11.1969 11.3268 11.4521 11.5729 11.6895 11.8022

T(c)

Tabel X

T(k)

Y 0.00 0.10 0.23 0.36 0.52 0.69 0.89 1.00

Ln P

T 0.00 0.20 0.38 0.55 0.70 0.83 0.95 1.00

295.2888 300 310 320 330 340 350 359.6282

55380.8976 63707.2207 72904.0931 83018.3296 94095.7949 106181.2342 119318.1214 133548.5217

Td (K) Tc 337.6000 512.6000 373.0000 647.3000

C

Tabel

295.2888 359.6282 atm 163.5117 185.7015 209.9268 236.2733 264.8233 295.6556 328.8452 364.4632

atau 560 min 640 max

X1 X2 X3 X4 X5 X6 X7 X8

290 C 360 C

1.1267 Y1 0.8950 Y2 0.6936 Y3 0.5177 Y4 0.3630 Y5 0.2263 Y6 0.1048 Y7 -0.0038 Y8

11.7981 11.7981 1.0528 0.9497 0.8321 0.6989 0.5493 0.3823 0.1969 -0.0080

72.8696 83.8253 95.9264 109.2346 123.8103 139.7122 156.9975 175.7217

1.20 1.00 0.80 X

0.60

Y 0.40 0.20 0.00 1

2

3

4

5

6

7

8

0.20 0.00 1

2

3

4

5

6

7

8

8

Psat 132999.4 174.9992

X Y

8

VLE Trigliserida-Metanol Komponen Trigliserida (1) Metanol (2)

A 18.2445 18.5875

P ln P

B 5884.4900 3626.5500

C -127.2600 -34.2900

175 11.7981

T1 sat T2 sat T(c)

T(k)

ln P

P1 sat

290.0000 350.0000 410.0000 470.0000 530.0000 590.0000 650.0000 710.0000

563.1500 623.1500 683.1500 743.1500 803.1500 863.1500 923.1500 983.1500

4.7446 6.3780 7.6588 8.6901 9.5382 10.2481 10.8509 11.3692

P2 sat

290.0000 350.0000 410.0000 470.0000 530.0000 590.0000 650.0000 710.0000

563.1500 623.1500 683.1500 743.1500 803.1500 863.1500 923.1500 983.1500

11.7302 12.4289 12.9984 13.4715 13.8707 14.2122 14.5075 14.7655

Tabel X

Y 0.0000 0.4689 0.7023 0.8193 0.8858 0.9282 0.9582 0.9814 1.0000

T 0.0000 0.0021 0.0112 0.0366 0.0924 0.1970 0.3716 0.6391 1.0000

295.2888 350 410 470 530 590 650 710 766.9435

Td (0C) 362.3000 64.6000

K

Td (K) 635.3000 337.6000

C 1040.0935 568.4388

mmHg

Tabel 766.9435 295.2888

atm

114.9569 588.7356 2119.1929 5943.4814 13880.1693 28228.1194 51580.7023 86613.6140

0.1513 0.7747 2.7884 7.8204 18.2634 37.1423 67.8693 113.9653

124268.9159 249922.3197 441701.6214 708899.2017 1056752.9478 1486824.4144 1997683.1658 2585663.0664

163.5117 328.8452 581.1863 932.7621 1390.4644 1956.3479 2628.5305 3402.1882

Daerah Tabel Tmin Tmax

1040 max 560 min

290.0000 770.0000

X1 350.0000 X2 410.0000 X3 470.0000 X4 530.0000 X5 590.0000 X6 650.0000 X7 710.0000 X8

-0.0703 0.4689 0.7023 0.8193 0.8858 0.9282 0.9582 0.9814

atau

Psat 11.7981 132999.4 174.9992 11.7981

770 C 290 C Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8

-0.0001 0.0021 0.0112 0.0366 0.0924 0.1970 0.3716 0.6391

VLE Trigliserida-Air Komponen Trigliserida (1) Air (2)

A 18.2445 18.3036

P ln P

B 5884.4900 3816.4400

C -127.2600 -46.1300

175 11.7981

T1 sat T2 sat T(c)

T(k)

ln P

P1 sat

350.0000 410.0000 470.0000 530.0000 590.0000 650.0000 710.0000 770.0000

623.1500 683.1500 743.1500 803.1500 863.1500 923.1500 983.1500 1043.1500

6.3780 7.6588 8.6901 9.5382 10.2481 10.8509 11.3692 11.8196

P2 sat

350.0000 410.0000 470.0000 530.0000 590.0000 650.0000 710.0000 770.0000

623.1500 683.1500 743.1500 803.1500 863.1500 923.1500 983.1500 1043.1500

11.6895 12.3125 12.8282 13.2622 13.6324 13.9520 14.2306 14.4758

Tabel X

Y 0.0000 0.4060 0.6535 0.7877 0.8698 0.9256 0.9675 1.0000

T 0.0000 0.0065 0.0292 0.0822 0.1846 0.3590 0.6301 1.0000

359.6282 410 470 530 590 650 710 766.9435

Td (0C) 362.3000 100.0000

K

Td (K) 635.3000 373.0000

C

1040.0935 632.7782 mmHg atm 588.7356 2119.1929 5943.4814 13880.1693 28228.1194 51580.7023 86613.6140 135891.5924 119318.1214 222463.0985 372589.8290 575043.4198 832700.3726 1146243.0789 1514574.8248 1935261.4972

Daerah Tabel Tmin Tmax

647.3000

Tabel 766.9435 359.6282 0.7747 2.7884 7.8204 18.2634 37.1423 67.8693 113.9653 178.8047 156.9975 292.7146 490.2498 756.6361 1095.6584 1508.2146 1992.8616 2546.3967

350.0000 770.0000

1040 max 630 min X1 410.0000 X2 470.0000 X3 530.0000 X4 590.0000 X5 650.0000 X6 710.0000 X7 X8

-0.1152 0.4060 0.6535 0.7877 0.8698 0.9256 0.9675 1.0016

atau 770 C 350 C Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8

11.7981 11.7981 -0.0005 0.0065 0.0292 0.0822 0.1846 0.3590 0.6301 1.0234

VLE Gliserol-Air Komponen Gliserol (1) Air (2)

A 17.2392 18.3036

P ln P

B 4487.0400 3816.4400

C -140.2000 -46.1300

175 11.7981

T1 sat T2 sat T(c)

T(k)

ln P

P1 sat

350.0000 400.0000 450.0000 500.0000 550.0000 600.0000 650.0000 700.0000

623.1500 673.1500 723.1500 773.1500 823.1500 873.1500 923.1500 973.1500

7.9483 8.8199 9.5421 10.1501 10.6691 11.1173 11.5083 11.8523

P2 sat

350.0000 400.0000 450.0000 500.0000 550.0000 600.0000 650.0000 700.0000

623.1500 673.1500 723.1500 773.1500 823.1500 873.1500 923.1500 973.1500

11.6895 12.2170 12.6665 13.0542 13.3920 13.6889 13.9520 14.1867

Tabel X

Y 0.0000 0.3541 0.6071 0.7567 0.8529 0.9193 0.9680 1.0000

T 0.0000 0.0180 0.0636 0.1456 0.2758 0.4654 0.7245 1.0000

359.6282 400 450 500 550 600 650 691.7068

Td (0C) 289.8000 100.0000

K

Td (K) 562.8000 373.0000

C 964.8568 632.7782

mmHg

Tabel 691.7068 359.6282

max min

atm

2830.7595 6767.9172 13933.8069 25593.8978 43006.8353 67326.4875 99534.4731 140403.2634

3.7247 8.9052 18.3340 33.6762 56.5879 88.5875 130.9664 184.7411

119318.1214 202190.9839 316945.2754 467040.2976 654720.1909 881086.5291 1146243.0789 1449471.1417

156.9975 266.0408 417.0333 614.5267 861.4739 1159.3244 1508.2146 1907.1989

Daerah Tabel Tmin Tmax

647.3000

350.0000 700.0000

350 X1 400.0000 X2 450.0000 X3 500.0000 X4 550.0000 X5 600.0000 X6 650.0000 X7 X8

-0.1175 0.3541 0.6071 0.7567 0.8529 0.9193 0.9680 1.0057

700 C 350 C Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8

11.7981 11.7981 -0.0025 0.0180 0.0636 0.1456 0.2758 0.4654 0.7245 1.0616

350

VLE Gliserol-Metanol Komponen Gliserol (1) Metanol (2)

A 17.2392 18.5875

P ln P

175 11.7981

B C 4487.0400 -140.2000 3626.5500 -34.2900

Td (0C) 289.8000 64.6000

K T1 sat T2 sat

Td (K) 562.8000 337.6000

C 964.8568 568.4388

T(c) P1 sat

280.0000 340.0000 400.0000 460.0000 520.0000 580.0000 640.0000 700.0000

ln P mmHg atm 553.1500 6.3734 586.0358 613.1500 7.7519 2325.8820 673.1500 8.8199 6767.9172 733.1500 9.6719 15865.2115 793.1500 10.3672 31800.8921 853.1500 10.9456 56702.5760 913.1500 11.4341 92421.5618 973.1500 11.8523 140403.2634

P2 sat

280.0000 340.0000 400.0000 460.0000 520.0000 580.0000 640.0000 700.0000

553.1500 613.1500 673.1500 733.1500 793.1500 853.1500 913.1500 973.1500

Tabel X

T(k)

Y 0.0000 0.4124 0.6828 0.8178 0.8947 0.9436 0.9776 1.0000

T 0.0000 0.0072 0.0347 0.0976 0.2139 0.4023 0.6794 1.0000

295.2888 340 400 460 520 580 640 691.7068

11.5980 12.3225 12.9109 13.3983 13.8086 14.1587 14.4611 14.7248

108884.4321 224698.2450 404701.1566 658857.9544 993068.8412 1409465.2932 1907062.8820 2482516.9782

Daerah Tabel Tmin Tmax

691.7068 295.2888 0.7711 3.0604 8.9052 20.8753 41.8433 74.6087 121.6073 184.7411 143.2690 295.6556 532.5015 866.9184 1306.6695 1854.5596 2509.2933 3266.4697

280.0000 700.0000

Tabel max min 280 X1 340.0000 X2 400.0000 X3 460.0000 X4 520.0000 X5 580.0000 X6 640.0000 X7 X8

-0.2227 Y1 0.4124 Y2 0.6828 Y3 0.8178 Y4 0.8947 Y5 0.9436 Y6 0.9776 Y7 1.0032 Y8

700 C 280 C

11.7981 11.7981 -0.0010 0.0072 0.0347 0.0976 0.2139 0.4023 0.6794 1.0590

VLE FAME-Metanol Komponen FAME (1) Metanol (2)

A 9.4297 18.5875

P ln P

B 1958.7700 3626.5500

C -96.9900 -34.2900

175 11.7981

T1 sat T2 sat T(c) P1 sat

P2 sat

Tabel X 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.0000 -42853323.4467 -502.1851

T(k) ln P -1000.0000 -726.8500 11.8073 -870.0000 -596.8500 12.2528 -740.0000 -466.8500 12.9037 -610.0000 -336.8500 13.9447 -480.0000 -206.8500 15.8764 -350.0000 -76.8500 20.6974 -220.0000 53.1500 54.1097 -90.0000 183.1500 -13.3044 40.0000 313.1500 0.3680 170.0000 443.1500 3.7711 300.0000 573.1500 5.3160 -1000.0000 -870.0000 -740.0000 -610.0000 -480.0000 -350.0000 -220.0000 -90.0000 40.0000 170.0000 300.0000

Y

-726.8500 -596.8500 -466.8500 -336.8500 -206.8500 -76.8500 53.1500 183.1500 313.1500 443.1500 573.1500

23.3521 24.3335 25.8241 28.3589 33.6267 51.2180 -173.7004 -5.7747 5.5826 9.7176 11.8575

T 1.0000 -1003.2036 t1 sat 1.5757 -870.0000 3.0210 -740.0000 8.5553 -610.0000 59.0457 -480.0000 7326.5170 -350.0000 1.0000 -220.0000 -0.0005 -90.0000 -0.0055 40.0000

-7.0269 0.0000

-0.0023 0.0000

170.0000 295.2888 t2 sat

Td (0C)

Td (K) 212.0000 64.6000

K

485.0000 337.6000

C -730.0536 568.4388

mmHg

-1003.2036 295.2888 atm

134229.9603 209564.3255 401788.8499 1137859.5093 7853072.2020 974426759.5793 315887353845559000000000.0000 0.0000 1.4449 43.4292 203.5720

176.6184 275.7425 528.6695 1497.1836 10332.9897 1282140.4731 415641255059946000000.0000 0.0000 0.0019 0.0571 0.2679

13858011801.2045 36975855833.1009 164158875805.8790 2070642522136.4200 401684814281540.0000 17525888417761700000000.0000 0.0000 0.0031 265.7583 16607.2301 141133.1150

18234226.0542 48652441.8857 215998520.7972 2724529634.3900 528532650370.4470 23060379497054900000.0000 0.0000 0.0000 0.3497 21.8516 185.7015

Tabel max min -1000.0000 X1 -870.0000 X2 -740.0000 X3 -610.0000 X4 -480.0000 X5 -350.0000 X6 -220.0000 X7 -90.0000 X8 40.0000 X9 170.0000 X10 300.0000 X11

-1000 C 300 C 1.0000000888 Y1 1.0000020707 Y2 1.0000016374 Y3 1.0000004853 Y4 1.0000000192 Y5 1.0000000000 Y6 0.0000000000 Y7 -42853323.4467311000 Y8 -502.1850986501 Y9 -7.0269360355 Y10 0.0577105042 Y11

1.0092 1.5757 3.0210 8.5553 59.0457 7326.5170 1.0000 -0.0005 -0.0055 -0.0023 0.0001

11.7981 11.7981 180

VLE FAME-Air Komponen FAME (1) Air (2)

A 9.4297 18.3036

P ln P

175 11.7981

B 1958.7700 3816.4400

C -96.9900 -46.1300

T1 sat T2 sat P1 sat

P2 sat

Tabel X

T(c) T(k) -1000.0000 -864.0000 -728.0000 -592.0000 -456.0000 -320.0000 -184.0000 -48.0000 88.0000 224.0000 360.0000 -1000.0000 -864.0000 -728.0000 -592.0000 -456.0000 -320.0000 -184.0000 -48.0000 88.0000 224.0000 360.0000

ln P -726.8500 -590.8500 -454.8500 -318.8500 -182.8500 -46.8500 89.1500 225.1500 361.1500 497.1500 633.1500

11.8073 12.2774 12.9792 14.1401 16.4293 23.0474 259.2728 -5.8541 2.0146 4.5347 5.7764

-726.8500 -590.8500 -454.8500 -318.8500 -182.8500 -46.8500 89.1500 225.1500 361.1500 497.1500 633.1500

23.2409 24.2951 25.9215 28.7602 34.9707 59.3494 -70.4096 -3.0149 6.1887 9.8418 11.8022

Y T 1.0000 1.0000 -1003.2036 t1 sat 1.0000 1.6150 -864.0000 1.0000 3.2580 -728.0000 1.0000 10.4019 -592.0000 1.0000 102.6374 -456.0000 1.0000 76825.8012 -320.0000

0.0000 ### -276.2364 -6.1034 0.0000

1.0000 -0.0621 -0.0156 -0.0043 0.0000

-184.0000 -48.0000 88.0000 224.0000 359.6282 t2 sat

Td (0C)

K

mmHg

3987968006257560000000000000000000000000000000000000000000000000

Td (K)

C

atm

52473263240231100000000000000000000000000000000000000000000000

Tabel max min -1000.0000 X1 -864.0000 X2 -728.0000 X3 -592.0000 X4 -456.0000 X5 -320.0000 X6 -184.0000 X7 -48.0000 X8 88.0000 X9 224.0000 X10 360.0000 X11

1.0000000992 Y1 1.0000022987 Y2 1.0000016596 Y3 1.0000004043 Y4 1.0000000088 Y5 1.0000000000 Y6 0.0000000000 Y7 -2879908.8281926300 Y8 -276.2363581408 Y9 -6.1033739689 Y10 0.0041172291 Y11

-1000 300

C C

11.7981 11.7981 180 1.0092 1.6150 3.2580 10.4019 102.6374 76825.8012 1.0000 -0.0621 -0.0156 -0.0043 0.0000

1360