yusi hanitasari (2311100009).xlsx

12
P (kPa) x1 y1 ƒ1 ƒ2 ln ɣ1 ln ɣ2 GE/RT GE/x1x2RT p2 sat 19.953 0 0 0 19.953 0 0 39.223 0.1686 0.5714 22.41202 16.81098 0.452339 0.013297 0.087319 0.622935 42.984 0.2167 0.6268 26.94237 16.04163 0.385457 0.026047 0.103931 0.612292 48.852 0.3039 0.6943 33.91794 14.93406 0.277516 0.072527 0.134823 0.637325 52.784 0.3681 0.7345 38.76985 14.01415 0.219558 0.105712 0.147619 0.634641 56.652 0.4461 0.7742 43.85998 12.79202 0.150729 0.146213 0.148228 0.599883 60.614 0.5282 0.8085 49.00642 11.60758 0.092747 0.209479 0.147821 0.593171 63.998 0.6044 0.8383 53.64952 10.34848 0.048507 0.270811 0.13645 0.570682 67.924 0.6804 0.8733 59.31803 8.605971 0.030503 0.299762 0.116558 0.536007 70.229 0.7255 0.8922 62.65831 7.570686 0.021106 0.323708 0.10417 0.523074 72.832 0.7776 0.9141 66.57573 6.256269 0.012398 0.343482 0.086031 0.497468 p1 sat 84.562 1 1 84.562 0 0 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 ln ɣ2 ln ɣ1 X1 ln ɣi 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.05 0.1 0.15 0.2 x1 GE/RT GE/RT 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 20 40 60 80 100 ƒ1 ƒ2 x1 ƒi 0 0.10.20.30.40.50.60.70.80.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 X1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.2 0.4 0.6 0.8 f(x) = − 0.207516175684394 x + 0.682760279469371 x1 GE/X1X2RT GE/x1x2RT A12 = 0.6828 A21 = 0.4753 0 0.2 0.4 0.6 0.8 1 1.2 0 20 40 60 80 100 X1 Y1 P P2 sat P1 sat

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Page 1: Yusi Hanitasari (2311100009).xlsx

P (kPa) x1 y1 ƒ1 ƒ2 ln ɣ1 ln ɣ2 GE/RT GE/x1x2RTp2 sat 19.953 0 0 0 19.953 0 0

39.223 0.1686 0.5714 22.41202 16.81098 0.452339 0.013297 0.087319 0.62293542.984 0.2167 0.6268 26.94237 16.04163 0.385457 0.026047 0.103931 0.61229248.852 0.3039 0.6943 33.91794 14.93406 0.277516 0.072527 0.134823 0.63732552.784 0.3681 0.7345 38.76985 14.01415 0.219558 0.105712 0.147619 0.63464156.652 0.4461 0.7742 43.85998 12.79202 0.150729 0.146213 0.148228 0.59988360.614 0.5282 0.8085 49.00642 11.60758 0.092747 0.209479 0.147821 0.59317163.998 0.6044 0.8383 53.64952 10.34848 0.048507 0.270811 0.13645 0.57068267.924 0.6804 0.8733 59.31803 8.605971 0.030503 0.299762 0.116558 0.53600770.229 0.7255 0.8922 62.65831 7.570686 0.021106 0.323708 0.10417 0.52307472.832 0.7776 0.9141 66.57573 6.256269 0.012398 0.343482 0.086031 0.497468

p1 sat 84.562 1 1 84.562 0 0 0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.050.1

0.150.2

0.250.3

0.350.4

0.450.5

ln ɣ2ln ɣ1

X1

ln ɣ

i

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.020.040.060.08

0.10.120.140.16

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

102030405060708090

ƒ1ƒ2

x1

ƒi

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

ln ɣ2ln ɣ1GE/RTGE/x1x2RT

X1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.10.20.30.40.50.60.7

f(x) = − 0.207516175684394 x + 0.682760279469371

x1

GE/X

1X2R

T

GE/x1x2RT

A12 = 0.6828A21 = 0.4753

0 0.2 0.4 0.6 0.8 1 1.20

102030405060708090

P-X1P-Y1

X1 Y1

P

P2 sat

P1 sat

Page 2: Yusi Hanitasari (2311100009).xlsx

P (kPa) x1 y1 ƒ1 ƒ2 ln ɣ1 ln ɣ2 GE/RT GE/x1x2RTP2 sat 68.728 0 0 0 68.728 0 0

72.278 0.0287 0.0647 4.676387 67.60161 0.519859 0.012595 0.027154 0.97407275.279 0.057 0.1295 9.74863 65.53037 0.568306 0.011046 0.04281 0.79644777.524 0.0858 0.1848 14.32644 63.19756 0.544318 0.005815 0.052019 0.66317778.951 0.1046 0.219 17.29027 61.66073 0.534231 0.001975 0.057649 0.61552482.528 0.1452 0.2694 22.23304 60.29496 0.457698 0.02598 0.088665 0.71436786.762 0.2173 0.3633 31.52063 55.24137 0.403594 0.026561 0.10849 0.63787690.088 0.2787 0.4184 37.69282 52.39518 0.333564 0.055358 0.132894 0.66107893.206 0.3579 0.4779 44.54315 48.66285 0.250435 0.09777 0.152409 0.66320495.017 0.405 0.5135 48.79123 46.22577 0.217894 0.122575 0.161179 0.66886296.365 0.448 0.5512 53.11639 43.24861 0.201923 0.131016 0.162782 0.65824897.646 0.5052 0.5844 57.06432 40.58168 0.153455 0.176762 0.164987 0.6600298.462 0.5432 0.6174 60.79044 37.67156 0.144186 0.182258 0.161577 0.6511799.811 0.6332 0.6772 67.59201 32.21899 0.096934 0.245338 0.151369 0.651727

99.95 0.6605 0.6926 69.22537 30.72463 0.078601 0.275189 0.145343 0.648157100.278 0.6945 0.7124 71.43805 28.83995 0.059869 0.31741 0.138548 0.653005100.467 0.7327 0.7383 74.17479 26.29221 0.043919 0.3585 0.128006 0.65359100.999 0.7752 0.7729 78.06213 22.93687 0.038615 0.395133 0.11876 0.681491101.059 0.7922 0.7876 79.59407 21.46493 0.036356 0.407443 0.113468 0.689276

99.877 0.908 0.8959 89.4798 10.3972 0.016999 0.497346 0.061191 0.73251199.799 0.9448 0.9336 93.17235 6.626654 0.017708 0.557736 0.047518 0.911123

P1 sat 96.885 1 1 96.885 0 0 0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

20

40

60

80

100

120

ƒ1ƒ2

x1

ƒi

0 0.2 0.4 0.6 0.8 1 1.20

20

40

60

80

100

120

P-X1P-Y1

X1 Y1

P

P2 sat

P1 sat

Page 3: Yusi Hanitasari (2311100009).xlsx

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.020.040.060.08

0.10.120.140.160.18

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

20

40

60

80

100

120

ƒ1ƒ2

x1

ƒi

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

ln ɣ2ln ɣ1

X1

ln ɣ

i

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.2

0.4

0.6

0.8

1

1.2

ln ɣ2ln ɣ1GE/RTGE/x1x2RT

X1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.2

0.4

0.6

0.8

1

1.2

f(x) = − 0.0181666427696913 x + 0.707709904887287

x1

GE/X

1X2R

T

GE/x1x2RT

A12 = 0.7077A21 = 0.6895

0 0.2 0.4 0.6 0.8 1 1.20

20

40

60

80

100

120

P-X1P-Y1

X1 Y1

P

Page 4: Yusi Hanitasari (2311100009).xlsx

P (kPa) x1 y1 ƒ1 ƒ2 ln ɣ1 ln ɣ2 GE/RT GE/x1x2RTp2 sat 85.265 0 0 0 85.265 0 0

83.402 0.033 0.0141 1.175968 82.22603 -0.331135 -0.002735 -0.013573 -0.42532482.202 0.0579 0.0253 2.079711 80.12229 -0.323208 -0.002566 -0.021131 -0.38739280.481 0.0924 0.0416 3.34801 77.13299 -0.31448 -0.003281 -0.032036 -0.3820176.719 0.1665 0.0804 6.168208 70.55079 -0.292306 -0.00731 -0.054762 -0.39459972.422 0.2482 0.1314 9.516251 62.90575 -0.257953 -0.018842 -0.078189 -0.41902768.005 0.3322 0.1975 13.43099 54.57401 -0.204892 -0.04244 -0.096406 -0.4345765.096 0.388 0.2457 15.99409 49.10191 -0.185506 -0.060843 -0.109212 -0.45992659.651 0.5036 0.3686 21.98736 37.66364 -0.128034 -0.116696 -0.122406 -0.48964856.833 0.5749 0.4564 25.93858 30.89442 -0.095184 -0.159758 -0.122634 -0.50179753.689 0.6736 0.5882 31.57987 22.10913 -0.056836 -0.230142 -0.113403 -0.515789

51.62 0.7676 0.7176 37.04251 14.57749 -0.027922 -0.30699 -0.092777 -0.52008150.455 0.8476 0.8238 41.56483 8.890171 -0.011874 -0.379571 -0.067911 -0.52573149.926 0.9093 0.9002 44.94339 4.982615 -0.003991 -0.439611 -0.043502 -0.527461

49.72 0.9529 0.9502 47.24394 2.476056 -0.000905 -0.483615 -0.02364 -0.526729p1 sat 49.624 1 1 49.624 0 0 0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

ln ɣ2ln ɣ1

X1

ln ɣ

i

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

102030405060708090

ƒ1ƒ2

x1

ƒi

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

ln ɣ2ln ɣ1GE/RTGE/x1x2RT

X1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

f(x) = − 0.165382568438206 x − 0.3876576713457

x1

GE/X

1X2R

T GE/x1x2RT A12 = -0.3877A21 = -0.5531

P2 sat

Page 5: Yusi Hanitasari (2311100009).xlsx

Komponen A B C D E F GNonane (1) 102.44 -9030.4 0 0 -12.88 0.00000785 2Heptane (2) 80.92 -6996.4 0 0 -9.88 0.00000721 2

Buble PT (K) P (kPa) x1 y1 ɣ1 ɣ2 ln ɣ1 ln ɣ2 GE/RT GE/x1x2RT

371.4 P2 sat 4.613899152 0 0 1 0 0373.3 4.614847511 0.071 0.01 0.628 1.015 -0.465215 0.014888612 -0.019199 -0.291070998375.7 4.616076371 0.163 0.027 0.68 1.037 -0.385662 0.036331929 -0.032453 -0.237872328378.7 4.617225088 0.249 0.05 0.744 1.041 -0.295714 0.04018179 -0.043456 -0.232387996382.3 4.618801235 0.367 0.084 0.753 1.084 -0.28369 0.080657903 -0.053058 -0.228391235385.1 4.619509165 0.42 0.117 0.837 1.062 -0.177931 0.060153923 -0.039842 -0.16355432390.3 4.621031883 0.534 0.176 0.84 1.084 -0.174353 0.080657903 -0.055518 -0.223104137396.2 4.622461101 0.641 0.274 0.909 1.076 -0.09541 0.073250462 -0.034861 -0.15149124401.6 4.623543032 0.722 0.375 0.943 1.056 -0.058689 0.054488185 -0.027226 -0.135643097407.5 4.624611607 0.802 0.506 0.969 1.029 -0.031491 0.028587457 -0.019595 -0.123398565409.6 4.624985607 0.83 0.56 0.978 1.02 -0.022246 0.019802627 -0.015097 -0.106997936413.9 4.625693538 0.883 0.675 0.986 1 -0.014099 0 -0.012449 -0.120503627415.5 4.625947324 0.902 0.72 0.987 0.995 -0.013085 -0.00501254 -0.012294 -0.139079994

420 4.626681969 0.957 0.867 0.997 0.984 -0.003005 -0.01612938 -0.003569 -0.086726411420.7 4.626788826 0.965 0.891 0.998 0.977 -0.002002 -0.02326863 -0.002746 -0.081312643423.8 P1 sat 4.627256327 1 1 1 0 0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

ln ɣ2ln ɣ1

X1

ln ɣ

i

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.06

-0.05

-0.04

-0.03

-0.02

-0.01

0

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.35

-0.3

-0.25

-0.2

-0.15

-0.1

-0.05

0

f(x) = 0.200092495682433 x − 0.287394378333057R² = 0.891943835057713

x1

GE/X

1X2R

T

GE/x1x2RT

0 0.2 0.4 0.6 0.8 1 1.24.605

4.61

4.615

4.62

4.625

4.63

P-X1P-Y1

X1 Y1

P

P2 sat

P1 sat

A12 = -0.2874A21 = -0.0873

0 0.2 0.4 0.6 0.8 1 1.2340350360370380390400410420430

T-X1T-Y1

X1 Y1

T

Page 6: Yusi Hanitasari (2311100009).xlsx

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

ln ɣ2ln ɣ1

X1ln

ɣi

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.06

-0.05

-0.04

-0.03

-0.02

-0.01

0

x1

GE/R

T

Page 7: Yusi Hanitasari (2311100009).xlsx

SOAL 12.1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

X1

ln ɣ

i

ln ɣ1ln ɣ2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

102030405060708090

x1

ƒi

ƒ1

ƒ2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

x1

GE/R

T

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

20

40

60

80

100

120

x1

ƒi

ƒ1

ƒ2

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

X1

ln ɣ

i

ln ɣ1

Page 8: Yusi Hanitasari (2311100009).xlsx

SOAL 12.3 SOAL 12.6

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

20

40

60

80

100

120

x1

ƒi

ƒ1

ƒ2

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

X1

ln ɣ

i

ln ɣ1ln ɣ2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

X1

ln ɣ

i

ln ɣ1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

x1

GE/R

T

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

102030405060708090

x1

ƒi

ƒ1

ƒ2

Page 9: Yusi Hanitasari (2311100009).xlsx

SOAL 12.6

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0

X1

ln ɣ

i

ln ɣ1

ln ɣ2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

x1

GE/R

T

GE/RT

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

102030405060708090

x1

ƒi

ƒ1

ƒ2