Tugas Pengolahan Gas Bumi

PENGOLAHAN GAS BUMI

TUGAS PENGOLAHAN GAS BUMI

Kelompok:Rahmad Mulya

TaufiqurrakhmanTiarrahmanYoga Tamala

Azka Pratama

DEPARTEMEN TEKNIK KIMIAFAKULTAS TEKNIK UNIVERSITAS INDONESIA

DEPOK 2012

PENGOLAHAN GAS BUMI

TUGAS PENGOLAHAN GAS BUMI

DEPARTEMEN TEKNIK KIMIAFAKULTAS TEKNIK UNIVERSITAS INDONESIA

DEPOK 2012

ENTER SIMULATIONENTER SIMULATION

Faktor Kompersibel Gas Alam

30 C (R, F,K,C)

Tekana 675 psia (psia, atm bar)

Komponen fraksi Normalisasi

0.8400 0.84000.0500 0.05000.0300 0.0300

i-C4 0.0070 0.0070n-C4 0.0080 0.0080i-C5 0.0138 0.0138n-C5 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.00000.0000 0.00000.0000 0.00000.0500 0.05000.0000 0.00000.0012 0.00120.0000 0.0000

O2 0.0000 0.0000H2O 0.0000 0.0000

Total 1.0000 1.0000

C1

C2

C3

C6

C7

C8

C9

C10

CO2

H2S

N2

H2

SUHUSUHU

TEKANANTEKANAN

KomponenKomponen Fraksi(x)Fraksi(x) NormalisasiNormalisasi

C1 C1

C2 C2

i-C4 i-C4 C3 C3

n-C4 n-C4

i-C5 i-C5

n-C5 n-C5

C6 C6

C7 C7

C8 C8

C9 C9

C10 C10

CO2 CO2

H2SH2S

N2 N2

H2 H2

O2 O2

Total Total H2OH2O

ResultResultSetSet

Faktor Kompersibel Gas Alam

(psia, atm bar)Metode 1 (Pilihlah metode yang sesuai (1,2,3, 4 atau 5)

0.69215882Katz & Kays - 1 0.692158818627

EMR 2 0.887900154 (min 600 R)

ASTM 3 0.858744847952Acid Gas 4 0.758901158109

High CO2 5 0.895117774

1198.5172214 lbm/MMscf

3.3999921477 lbm/ft3

(Untuk kadar CO2 >5%)

ResultResult

MetodeMetode

Katz & KaysKatz & Kays

High CO2High CO2

EMREMR

ASTMASTM

Acid GasAcid Gas

Petunjuk:1. Set Suhu(B4-C4) dan Tekanan(B6-C6) beserta Satuannya2. Masukkan Fraksi Tiap Komponen(B9-B26)3. Pilih Metode yang Sesuai(H10)

Petunjuk:1. Set Suhu(B4-C4) dan Tekanan(B6-C6) beserta Satuannya2. Masukkan Fraksi Tiap Komponen(B9-B26)3. Pilih Metode yang Sesuai(H10)

Water ContentWater Content

Densitas ( )ρDensitas ( )ρ

Faktor kompresibilitas(Z)Faktor kompresibilitas(Z)

P 675 psia Tr 1.10509T 545.4 R Pr 0.9806

Z 0.692159ρ 3.4 lbm/ft3

Component Fraksi Mol Normalisasi Tc ( R) Tc' ( R)

0.84 0.84 343.30 91.1168 673.10 565.404

0.05 0.05 549.77 2.82099 708.30 35.415

0.03 0.03 665.95 1.07204 617.40 18.522

i-C4 0.007 0.007 734.65 0.00297 529.10 3.7037

n-C4 0.008 0.008 765.31 0.00309 550.70 4.4056

i-C5 0.0138 0.0138 829.80 0.00168 483.00 6.6654

n-C5 0 0 845.60 0.00171 489.50 0

0 0 914.20 0.00462 439.70 0

0 0 972.31 0.3913 396.90 0

0 0 1024.31 0.20612 362.10 0

0 0 1073.00 0.10796 345.00 0

0 0 1114.70 0 306.00 0

0.05 0.05 548.00 393.281 1073.00 53.65

0 0 672.70 3.58713 1306.00 0

0.0012 0.0012 227.20 0.93722 492.00 0.5904

0 0 60.20 0 188.10 0

0 0 278.00 0 730.00 0

Total 1 1 11619 493.53 9689.9 688.36

Tr terdekat

Tr diff. delta delta Tr terdekat cek delta

1.05 0.0550903244764 0.0550903245 0.00509 1.1 0.005091.1 0.0050903244764 0.0050903245 0.04491

1.15 -0.044909675524 0.0449096755 0.094911.2 -0.094909675524 0.0949096755 0.14491

1.25 -0.144909675524 0.1449096755 0.194911.3 -0.194909675524 0.1949096755 0.24491

1.35 -0.244909675524 0.2449096755 0.294911.4 -0.294909675524 0.2949096755 0.34491

1.45 -0.344909675524 0.3449096755 0.394911.5 -0.394909675524 0.3949096755 0.494911.6 -0.494909675524 0.4949096755 0.594911.7 -0.594909675524 0.5949096755 0.6305971.8 -0.694909675524 0.6949096755 0.5805971.9 -0.794909675524 0.7949096755 0.530597

Pc (Psia)

Pc' (Psia)

C1

C2

C3

C6

C7

C8

C9

C10

CO2

H2S

N2

H2

O2

2 -0.894909675524 0.8949096755 0.4805972.2 -1.094909675524 1.0949096755 0.4305972.4 -1.294909675524 1.2949096755 0.3805972.6 -1.494909675524 1.4949096755 0.3305972.8 -1.694909675524 1.6949096755 0.280597

3 -1.894909675524 1.8949096755 0.230597

Pr terdekat

Pr diff. delta delta Pr terdekat cek delta

0 0.9805971066429 0.9805971066 0.019403 1 -0.0194030.05 0.9305971066429 0.93059710660.1 0.8805971066429 0.88059710660.15 0.8305971066429 0.83059710660.2 0.7805971066429 0.78059710660.25 0.7305971066429 0.73059710660.3 0.6805971066429 0.68059710660.35 0.6305971066429 0.63059710660.4 0.5805971066429 0.58059710660.45 0.5305971066429 0.53059710660.5 0.4805971066429 0.48059710660.55 0.4305971066429 0.43059710660.6 0.3805971066429 0.38059710660.65 0.3305971066429 0.33059710660.7 0.2805971066429 0.28059710660.75 0.2305971066429 0.23059710660.8 0.1805971066429 0.18059710660.85 0.1305971066429 0.13059710660.9 0.0805971066429 0.08059710660.95 0.0305971066429 0.0305971066

1 -0.019402893357 0.01940289341.05 -0.069402893357 0.06940289341.1 -0.119402893357 0.11940289341.15 -0.169402893357 0.16940289341.2 -0.219402893357 0.21940289341.25 -0.269402893357 0.26940289341.3 -0.319402893357 0.31940289341.35 -0.369402893357 0.36940289341.4 -0.419402893357 0.41940289341.45 -0.469402893357 0.46940289341.5 -0.519402893357 0.51940289341.55 -0.569402893357 0.56940289341.6 -0.619402893357 0.61940289341.65 -0.669402893357 0.66940289341.7 -0.719402893357 0.71940289341.75 -0.769402893357 0.7694028934

1.8 -0.819402893357 0.81940289341.85 -0.869402893357 0.86940289341.9 -0.919402893357 0.91940289341.95 -0.969402893357 0.9694028934

2 -1.019402893357 1.01940289342.05 -1.069402893357 1.06940289342.1 -1.119402893357 1.11940289342.15 -1.169402893357 1.16940289342.2 -1.219402893357 1.21940289342.25 -1.269402893357 1.26940289342.3 -1.319402893357 1.31940289342.35 -1.369402893357 1.36940289342.4 -1.419402893357 1.41940289342.45 -1.469402893357 1.46940289342.5 -1.519402893357 1.51940289342.55 -1.569402893357 1.56940289342.6 -1.619402893357 1.61940289342.65 -1.669402893357 1.66940289342.7 -1.719402893357 1.71940289342.75 -1.769402893357 1.76940289342.8 -1.819402893357 1.81940289342.85 -1.869402893357 1.86940289342.9 -1.919402893357 1.91940289342.95 -1.969402893357 1.9694028934

3 -2.019402893357 2.01940289343.05 -2.069402893357 2.06940289343.1 -2.119402893357 2.11940289343.15 -2.169402893357 2.16940289343.2 -2.219402893357 2.21940289343.25 -2.269402893357 2.26940289343.3 -2.319402893357 2.31940289343.35 -2.369402893357 2.36940289343.4 -2.419402893357 2.41940289343.45 -2.469402893357 2.46940289343.5 -2.519402893357 2.51940289343.55 -2.569402893357 2.56940289343.6 -2.619402893357 2.61940289343.65 -2.669402893357 2.66940289343.7 -2.719402893357 2.71940289343.75 -2.769402893357 2.76940289343.8 -2.819402893357 2.81940289343.85 -2.869402893357 2.86940289343.9 -2.919402893357 2.91940289343.95 -2.969402893357 2.9694028934

4 -3.019402893357 3.0194028934

4.05 -3.069402893357 3.06940289344.1 -3.119402893357 3.11940289344.15 -3.169402893357 3.16940289344.2 -3.219402893357 3.21940289344.25 -3.269402893357 3.26940289344.3 -3.319402893357 3.31940289344.35 -3.369402893357 3.36940289344.4 -3.419402893357 3.41940289344.45 -3.469402893357 3.46940289344.5 -3.519402893357 3.51940289344.55 -3.569402893357 3.56940289344.6 -3.619402893357 3.61940289344.65 -3.669402893357 3.66940289344.7 -3.719402893357 3.71940289344.75 -3.769402893357 3.76940289344.8 -3.819402893357 3.81940289344.85 -3.869402893357 3.86940289344.9 -3.919402893357 3.91940289344.95 -3.969402893357 3.9694028934

5 -4.019402893357 4.01940289345.05 -4.069402893357 4.06940289345.1 -4.119402893357 4.11940289345.15 -4.169402893357 4.16940289345.2 -4.219402893357 4.21940289345.25 -4.269402893357 4.26940289345.3 -4.319402893357 4.31940289345.35 -4.369402893357 4.36940289345.4 -4.419402893357 4.41940289345.45 -4.469402893357 4.46940289345.5 -4.519402893357 4.51940289345.55 -4.569402893357 4.56940289345.6 -4.619402893357 4.61940289345.65 -4.669402893357 4.66940289345.7 -4.719402893357 4.71940289345.75 -4.769402893357 4.76940289345.8 -4.819402893357 4.81940289345.85 -4.869402893357 4.86940289345.9 -4.919402893357 4.91940289345.95 -4.969402893357 4.9694028934

6 -5.019402893357 5.01940289346.05 -5.069402893357 5.06940289346.1 -5.119402893357 5.11940289346.15 -5.169402893357 5.16940289346.2 -5.219402893357 5.21940289346.25 -5.269402893357 5.2694028934

6.3 -5.319402893357 5.31940289346.35 -5.369402893357 5.36940289346.4 -5.419402893357 5.41940289346.45 -5.469402893357 5.46940289346.5 -5.519402893357 5.51940289346.55 -5.569402893357 5.56940289346.6 -5.619402893357 5.61940289346.65 -5.669402893357 5.66940289346.7 -5.719402893357 5.71940289346.75 -5.769402893357 5.76940289346.8 -5.819402893357 5.81940289346.85 -5.869402893357 5.86940289346.9 -5.919402893357 5.91940289346.95 -5.969402893357 5.9694028934

7 -6.019402893357 6.01940289347.05 -6.069402893357 6.06940289347.1 -6.119402893357 6.11940289347.15 -6.169402893357 6.16940289347.2 -6.219402893357 6.21940289347.25 -6.269402893357 6.26940289347.3 -6.319402893357 6.31940289347.35 -6.369402893357 6.36940289347.4 -6.419402893357 6.41940289347.45 -6.469402893357 6.46940289347.5 -6.519402893357 6.51940289347.55 -6.569402893357 6.56940289347.6 -6.619402893357 6.61940289347.65 -6.669402893357 6.66940289347.7 -6.719402893357 6.71940289347.75 -6.769402893357 6.76940289347.8 -6.819402893357 6.81940289347.85 -6.869402893357 6.86940289347.9 -6.919402893357 6.91940289347.95 -6.969402893357 6.9694028934

8 -7.019402893357 7.0194028934

Tr' 1.05 1.1 1.15 1.2

Pr' Tr'1.05 Tr'1.1 Tr'1.15 Tr'1.2

0 1.0293 1.0078 0.9988 0.9954

0.05 1.0079127 0.99724531 0.99206774 0.99112472

0.1 0.98515508 0.98488516 0.98388578 0.98552092

0.15 0.9612207 0.97091314 0.97439159 0.9787076

0.2 0.93629291 0.95551329 0.9637164 0.97079846

ω ω' MR MR' 0.25 0.91054514 0.93886038 0.9519854 0.96190203

0.014 0.01176 16.042 13.47528 0.3 0.88414118 0.92112012 0.93931784 0.9521218

0.099 0.00495 30.068 1.5034 0.35 0.85723544 0.90244949 0.92582723 0.94155637

0.152 0.00456 44.094 1.32282 0.4 0.82997327 0.88299692 0.91162145 0.93029956

0.185 0.0013 58.12 0.40684 0.45 0.80249119 0.86290253 0.89680293 0.91844056

0.201 0.00161 58.12 0.46496 0.5 0.77491719 0.84229844 0.88146875 0.90606406

0.222 0.00306 72.146 0.995615 0.55 0.74737099 0.82130893 0.86571084 0.89325036

0.254 0 72.146 0 0.6 0.71996431 0.80005074 0.84961608 0.88007553

0.301 0 86.172 0 0.65 0.6928011 0.77863324 0.83326643 0.86661148

0.35 0 100.198 0 0.7 0.66597786 0.75715869 0.81673911 0.85292617

0.402 0 114.224 0 0.75 0.63958381 0.73572249 0.80010669 0.83908367

0.446 0 128.25 0 0.8 0.61370123 0.71441332 0.78343724 0.82514428

0.489 0 142.276 0 0.85 0.58840563 0.69331347 0.76679444 0.81116471

0.225 0.01125 44.01 2.2005 0.9 0.56376604 0.67249894 0.75023776 0.79719815

0.1 0 34.076 0 0.95 0.53984524 0.65203972 0.7338225 0.7832944

0.04 4.8E-05 28.016 0.033619 1 0.5167 0.632 0.7176 0.7695

0 0 2.016 0 1.05 0.4943813 0.61243833 0.70161768 0.75585835

0.0213 0 32 0 1.1 0.47293456 0.59340784 0.68591922 0.74240981

3.5013 0.0385 1062 20.403 1.15 0.4523999 0.57495647 0.67054464 0.729191831.2 0.43281233 0.55712712 0.65553042 0.71623907

1.25 0.41420198 0.53995784 0.64090962 0.70358347

1.3 0.3965943 0.52348205 0.62671198 0.69125444

1.35 0.38001033 0.50772871 0.61296402 0.6792789

1.4 0.36446684 0.49272248 0.59968916 0.66768141

1.45 0.34997656 0.47848393 0.58690782 0.65648432

1.5 0.33654844 0.46502969 0.5746375 0.64570781

1.55 0.32418774 0.45237261 0.56289289 0.63537005

1.6 0.31289634 0.44052197 0.55168596 0.62548727

1.65 0.30267285 0.4294836 0.54102609 0.6160739

1.7 0.29351283 0.41926007 0.53092008 0.60714263

1.75 0.28540901 0.40985081 0.52137231 0.59870457

1.8 0.2783514 0.4012523 0.51238482 0.59076927

1.85 0.27232755 0.39345822 0.50395734 0.58334492

1.9 0.26732266 0.38645955 0.49608742 0.57643835

1.95 0.26331978 0.38024479 0.48877051 0.57005521

2 0.2603 0.3748 0.482 0.5642

2.05 0.25824258 0.37010904 0.47576733 0.55887621

2.1 0.25712514 0.36615362 0.47006206 0.5540864

2.15 0.2569238 0.3629135 0.4648719 0.5498323

2.2 0.25761336 0.36036654 0.46018284 0.54611487

2.25 0.25916741 0.35848889 0.45597915 0.54293445

2.3 0.26155853 0.35725508 0.45224351 0.54029078

2.35 0.26475841 0.35663812 0.44895702 0.53818316

2.4 0.268738 0.35660965 0.44609928 0.53661047

2.45 0.27346764 0.35714003 0.44364843 0.53557131

2.5 0.27891719 0.35819844 0.44158125 0.53506406

2.55 0.28505619 0.35975298 0.43987315 0.53508696

2.6 0.29185397 0.3617708 0.43849825 0.53563821

2.65 0.29927978 0.36421816 0.43742946 0.53671604

2.7 0.30730291 0.36706054 0.43663844 0.53831879

2.75 0.3158928 0.37026272 0.43609575 0.540445

2.8 0.32501918 0.37378888 0.4357708 0.54309347

2.85 0.33465217 0.37760266 0.43563194 0.54626336

2.9 0.34476237 0.38166727 0.43564648 0.54995426

2.95 0.35532101 0.38594554 0.43578072 0.55416625

3 0.3663 0.3904 0.436 0.5589

3.05 0.37767206 0.39499294 0.4362687 0.56415681

3.1 0.38941082 0.39968651 0.4365503 0.5699387

3.15 0.4014909 0.40444272 0.43680738 0.5762485

3.2 0.41388798 0.40922356 0.43700165 0.58308988

3.25 0.42657893 0.41399104 0.43709399 0.59046746

3.3 0.43954186 0.4187072 0.43704445 0.59838682

3.35 0.45275619 0.42333422 0.43681223 0.60685465

3.4 0.46620277 0.42783442 0.43635579 0.61587873

3.45 0.4798639 0.43217032 0.43563276 0.62546803

3.5 0.49372344 0.43630469 0.4346 0.63563281

3.55 0.50776683 0.44020055 0.43321362 0.64638461

3.6 0.5219812 0.44382124 0.43142894 0.65773636

3.65 0.53635541 0.44713042 0.42920054 0.66970242

3.7 0.55088008 0.45009211 0.42648221 0.68229865

3.75 0.56554768 0.45267073 0.423227 0.69554246

3.8 0.58035256 0.45483105 0.41938719 0.70945286

3.85 0.59529098 0.4565383 0.41491426 0.72405053

3.9 0.61036119 0.45775809 0.40975894 0.73935787

3.95 0.62556344 0.45845649 0.40387115 0.75539903

4 0.6409 0.4586 0.3972 0.7722

4.05 0.65637524 0.45815554 0.38969378 0.78978863

4.1 0.67199561 0.45709049 0.38129993 0.80819469

4.15 0.68776969 0.45537263 0.37196506 0.82744993

4.2 0.7037082 0.45297019 0.36163487 0.84758809

4.25 0.71982405 0.44985178 0.35025415 0.868645

4.3 0.73613228 0.44598643 0.33776678 0.89065857

4.35 0.75265016 0.44134352 0.32411566 0.91366887

4.4 0.76939714 0.43589279 0.3092427 0.93771818

4.45 0.78639486 0.42960431 0.29308879 0.96285099

4.5 0.80366719 0.42244844 0.27559375 0.98911406

4.55 0.82124016 0.41439581 0.2566963 1.01655649

4.6 0.83914204 0.40541727 0.23633403 1.0452297

4.65 0.85740323 0.39548386 0.21444333 1.07518753

4.7 0.87605635 0.38456679 0.19095938 1.10648621

4.75 0.89513616 0.37263733 0.16581606 1.13918445

4.8 0.91467953 0.35966683 0.13894597 1.17334345

4.85 0.93472549 0.34562663 0.11028029 1.20902693

4.9 0.95531511 0.33048801 0.07974881 1.24630117

4.95 0.97649156 0.31422214 0.04727979 1.28523504

5 0.9983 0.2968 0.0128 1.3259

5.05 1.02078761 0.27819234 -0.0237654 1.36837019

5.1 1.04400349 0.25836957 -0.062493 1.41272239

5.15 1.06799867 0.23730174 -0.103461 1.45903609

5.2 1.09282603 0.21495841 -0.1467495 1.5073935

5.25 1.11854026 0.19130862 -0.1924404 1.55787957

5.3 1.14519781 0.16632075 -0.2406175 1.61058201

5.35 1.17285683 0.13996251 -0.2913667 1.66559133

5.4 1.20157711 0.11220076 -0.344776 1.72300084

5.45 1.23142002 0.08300149 -0.4009355 1.78290667

5.5 1.26244844 0.05232969 -0.4599375 1.84540781

5.55 1.29472669 0.02014926 -0.5218768 1.9106061

5.6 1.32832047 -0.0135771 -0.5868505 1.97860625

5.65 1.36329675 -0.048888 -0.6549582 2.04951586

5.7 1.39972373 -0.0858234 -0.7263021 2.12344546

5.75 1.43767073 -0.124425 -0.8009871 2.20050847

5.8 1.47720811 -0.1647358 -0.8791208 2.28082124

5.85 1.51840719 -0.2068008 -0.960814 2.36450307

5.9 1.56134013 -0.250667 -1.0461799 2.45167618

5.95 1.60607987 -0.296383 -1.1353354 2.54246577

6 1.6527 -0.344 -1.2284 2.637

6.05 1.70127467 -0.3935712 -1.3254969 2.73540997

6.1 1.75187847 -0.4451522 -1.4267526 2.83782978

6.15 1.80458635 -0.4988015 -1.5322969 2.94439648

6.2 1.85947345 -0.5545798 -1.6422635 3.05525011

6.25 1.91661506 -0.612551 -1.7567896 3.17053367

6.3 1.97608643 -0.6727818 -1.8760164 3.29039315

6.35 2.03796269 -0.7353423 -2.0000889 3.41497752

6.4 2.10231868 -0.8003057 -2.1291563 3.54443869

6.45 2.16922886 -0.8677486 -2.263372 3.67893159

6.5 2.23876719 -0.9377516 -2.4028938 3.81861406

6.55 2.31100691 -1.0103986 -2.5478837 3.96364694

6.6 2.3860205 -1.0857779 -2.6985086 4.11419399

6.65 2.46387946 -1.1639817 -2.8549399 4.27042193

6.7 2.5446542 -1.2451066 -3.0173541 4.43250042

6.75 2.62841389 -1.3292537 -3.1859324 4.60060203

6.8 2.71522628 -1.4165288 -3.3608613 4.77490223

6.85 2.80515758 -1.5070426 -3.5423325 4.95557943

6.9 2.89827225 -1.6009109 -3.7305433 5.14281488

6.95 2.99463288 -1.6982545 -3.9256963 5.33679274

7 3.0943 -1.7992 -4.128 5.5377

7.05 3.19733192 -1.9038795 -4.3376687 5.74572649

7.1 3.30378455 -2.012431 -4.5549228 5.96106487

7.15 3.41371121 -2.1249985 -4.7799886 6.1839106

7.2 3.52716248 -2.2417323 -5.0130991 6.41446191

7.25 3.64418596 -2.3627894 -5.2544935 6.6529198

7.3 3.76482616 -2.4883333 -5.5044178 6.89948799

7.35 3.88912424 -2.6185344 -5.7631248 7.15437293

7.4 4.01711784 -2.7535705 -6.0308742 7.41778375

7.45 4.14884091 -2.8936266 -6.3079328 7.68993224

7.5 4.28432344 -3.0388953 -6.594575 7.97103281

7.55 4.42359133 -3.1895773 -6.8910824 8.26130251

7.6 4.56666613 -3.345881 -7.1977443 8.56096093

7.65 4.71356486 -3.5080236 -7.514858 8.87023024

7.7 4.86429978 -3.6762306 -7.8427287 9.18933508

7.75 5.01887815 -3.8507363 -8.1816699 9.51850261

7.8 5.17730206 -4.0317842 -8.5320033 9.85796243

7.85 5.33956817 -4.2196272 -8.8940593 10.2079465

7.9 5.50566746 -4.4145276 -9.2681772 10.5686893

7.95 5.67558508 -4.6167578 -9.654705 10.9404274

8 5.8493 -4.8266 -10.054 11.3234

low HighPr' Tr' Pr' Tr'

0.95 1.1 1 1.15

low high0.65204 0.7176

1.25 1.3 1.35 1.4 1.45 1.5 1.6 1.7 1.8 1.9

Tr'1.25 Tr'1.3 Tr'1.35 Tr'1.4 Tr'1.45 Tr'1.5 Tr'1.6 Tr'1.7 Tr'1.8 Tr'1.9

0.9958 0.9953 0.9996 0.9993 0.9994 0.9995 1.0002 1.0001 0.9993 1.0005

0.99089478 0.99113799 0.99353172 0.9933568 0.993889 0.99475555 0.99595202 0.99711298 0.99666963 0.99663247

0.98510308 0.98631013 0.98724058 0.98733235 0.98835806 0.98995733 0.9917472 0.99410477 0.99407711 0.99307316

0.97850329 0.98087198 0.98074664 0.98123434 0.98281029 0.98511283 0.98758434 0.99107952 0.99152042 0.98979797

0.97117046 0.9748768 0.97406934 0.97507037 0.9772489 0.98022931 0.98346237 0.98804118 0.9889977 0.986784

0.96317635 0.96837567 0.96722754 0.96884795 0.97167715 0.97531377 0.97938037 0.98499355 0.98650723 0.98400958

0.95458955 0.96141753 0.96023946 0.96257451 0.96609838 0.97037297 0.97533756 0.98194025 0.98404743 0.98145417

0.94547554 0.9540492 0.95312277 0.95625739 0.96051597 0.96541344 0.97133328 0.97888474 0.98161684 0.97909836

0.93589676 0.94631548 0.94589452 0.94990381 0.95493335 0.96044148 0.967367 0.97583034 0.97921414 0.97692384

0.92591271 0.93825915 0.9385712 0.94352092 0.949354 0.95546316 0.96343832 0.9727802 0.97683809 0.97491335

0.91558 0.92992109 0.93116872 0.93711575 0.94378141 0.9504843 0.95954697 0.96973738 0.97448759 0.97305063

0.90495244 0.92134027 0.92370243 0.93069524 0.93821911 0.94551052 0.95569278 0.96670475 0.97216163 0.97132042

0.8940811 0.91255383 0.91618714 0.9242662 0.93267067 0.94054722 0.9518757 0.9636851 0.96985929 0.96970843

0.88301441 0.90359711 0.90863708 0.91783535 0.92713965 0.93559958 0.94809582 0.96068108 0.96757973 0.96820125

0.8717982 0.89450374 0.90106596 0.91140928 0.92162962 0.93067255 0.9443533 0.95769524 0.9653222 0.96678641

0.8604758 0.88530565 0.89348695 0.90499449 0.91614416 0.92577089 0.94064843 0.95473002 0.96308603 0.96545224

0.84908808 0.87603313 0.88591269 0.89859733 0.91068685 0.92089914 0.9369816 0.95178776 0.9608706 0.96418793

0.83767356 0.86671489 0.87835531 0.89222404 0.90526123 0.91606164 0.93335331 0.9488707 0.95867535 0.96298345

0.82626842 0.85737808 0.87082642 0.88588075 0.89987088 0.91126252 0.92976414 0.94598102 0.9564998 0.96182954

0.81490664 0.84804838 0.86333711 0.87957345 0.8945193 0.90650573 0.92621478 0.94312078 0.95434349 0.96071766

0.80362 0.83875 0.855898 0.873308 0.88921 0.901795 0.922706 0.940292 0.952206 0.95964

0.79243819 0.82950576 0.8485192 0.86709014 0.88394645 0.89713388 0.91923868 0.93749661 0.95008697 0.95858939

0.78138886 0.82033711 0.84121034 0.86092547 0.87873207 0.89252572 0.91581378 0.9347365 0.94798604 0.95755932

0.77049767 0.8112642 0.83398057 0.85481947 0.87357026 0.8879737 0.91243234 0.93201347 0.94590289 0.956543910.75978839 0.8023059 0.82683857 0.84877746 0.86846436 0.88348078 0.90909548 0.9293293 0.94383721 0.95553784

0.74928291 0.79347987 0.81979257 0.84280464 0.86341764 0.87904977 0.90580443 0.92668569 0.94178871 0.95453638

0.73900136 0.78480257 0.81285031 0.83690607 0.85843334 0.87468329 0.90256047 0.92408434 0.93975708 0.95353531

0.72896213 0.77628934 0.80601912 0.83108667 0.85351463 0.87038376 0.89936496 0.92152688 0.93774205 0.95253095

0.71918193 0.7679544 0.79930587 0.82535121 0.84866461 0.86615346 0.89621935 0.91901493 0.93574329 0.95152006

0.70967586 0.75981093 0.79271698 0.81970433 0.8438863 0.86199445 0.89312516 0.91655007 0.9337605 0.9504999

0.7004575 0.75187109 0.78625847 0.8141505 0.83918266 0.85790867 0.89008397 0.91413388 0.93179334 0.94946812

0.69153889 0.74414607 0.77993591 0.80869407 0.83455655 0.85389785 0.88709744 0.91176789 0.92984146 0.94842282

0.68293065 0.7366461 0.77375448 0.80333924 0.83001078 0.84996357 0.88416729 0.90945365 0.92790447 0.94736245

0.67464203 0.72938054 0.76771893 0.79809005 0.82554803 0.84610724 0.88129531 0.90719271 0.92598194 0.94628582

0.66668091 0.7223579 0.76183362 0.79295039 0.82117092 0.8423301 0.87848337 0.90498658 0.92407342 0.9451921

0.65905393 0.71558583 0.75610252 0.78792402 0.81688196 0.83863324 0.87573337 0.90283682 0.92217839 0.94408075

0.65176648 0.70907123 0.75052919 0.78301453 0.81268355 0.83501759 0.87304731 0.90074496 0.9202963 0.94295153

0.64482279 0.70282024 0.74511684 0.77822536 0.808578 0.8314839 0.87042721 0.89871256 0.91842652 0.94180446

0.63822597 0.69683831 0.73986829 0.77355982 0.80456752 0.8280328 0.86787518 0.8967412 0.91656839 0.94063982

0.63197804 0.69113019 0.73478598 0.76902103 0.8006542 0.82466473 0.86539337 0.89483247 0.91472115 0.93945809

0.62608 0.6857 0.729872 0.764612 0.79684 0.82138 0.862984 0.892988 0.912884 0.93826

0.62053189 0.68055126 0.7251281 0.76033555 0.79312679 0.81817876 0.86064933 0.89120943 0.91105604 0.93704642

0.61533279 0.67568693 0.72055565 0.75619438 0.78951632 0.815061 0.8583917 0.88949844 0.9092363 0.9358184

0.61048093 0.67110941 0.71615571 0.752191 0.78601019 0.81202658 0.85621346 0.88785676 0.90742373 0.93457716

0.60597367 0.6668206 0.71192898 0.74832781 0.7826099 0.80907521 0.85411705 0.88628614 0.90561718 0.933324

0.6018076 0.66282196 0.70787586 0.74460701 0.7793168 0.80620644 0.85210494 0.8847884 0.90381539 0.93206036

0.59797853 0.65911447 0.70399639 0.74103069 0.77613213 0.80341969 0.85017967 0.88336537 0.90201704 0.93078778

0.5944816 0.65569872 0.70029034 0.73760077 0.77305699 0.80071423 0.84834381 0.88201897 0.90022067 0.92950784

0.59131125 0.65257493 0.69675712 0.734319 0.77009234 0.79808919 0.84659999 0.88075114 0.89842473 0.9282222

0.5884613 0.64974296 0.69339589 0.73118701 0.767239 0.79554355 0.84495089 0.87956392 0.89662755 0.92693256

0.585925 0.64720234 0.69020547 0.72820625 0.76449766 0.79307617 0.84339922 0.87845938 0.89482734 0.92564062

0.58369503 0.64495235 0.68718442 0.72537804 0.76186885 0.79068576 0.84194776 0.87743965 0.89302221 0.92434813

0.58176357 0.64299197 0.684331 0.72270355 0.75935297 0.78837088 0.84059932 0.87650695 0.8912101 0.92305679

0.58012233 0.64131997 0.68164321 0.72018378 0.75695027 0.78612997 0.83935677 0.87566355 0.88938887 0.9217683

0.57876257 0.6399349 0.67911875 0.71781961 0.75466085 0.78396133 0.83822302 0.87491182 0.88755622 0.92048432

0.57767518 0.63883514 0.6767551 0.71561174 0.75248467 0.78186313 0.83720102 0.87425418 0.88570971 0.91920646

0.57685063 0.63801892 0.67454944 0.71356075 0.75042153 0.7798334 0.83629377 0.87369313 0.88384677 0.91793625

0.57627911 0.63748434 0.67249871 0.71166708 0.74847107 0.77787002 0.83550433 0.87323128 0.88196467 0.91667518

0.57595047 0.63722939 0.67059963 0.70993099 0.7466328 0.77597076 0.83483579 0.87287128 0.88006055 0.91542461

0.57585432 0.63725199 0.66884865 0.70835263 0.74490604 0.77413326 0.83429128 0.87261591 0.87813139 0.91418583

0.57598 0.63755 0.667242 0.706932 0.74329 0.772355 0.833874 0.872468 0.876174 0.91296

0.57631667 0.63812126 0.66577568 0.70566896 0.74178369 0.77063336 0.83358717 0.8724305 0.87418505 0.91174816

0.57685329 0.6389636 0.66444547 0.70456323 0.74038599 0.76896556 0.83343407 0.87250644 0.87216103 0.91055121

0.57757867 0.64007486 0.66324695 0.70361439 0.73909562 0.76734872 0.83341803 0.87269895 0.87009828 0.90936991

0.57848152 0.64145291 0.66217546 0.7028219 0.73791111 0.7657798 0.83354242 0.87301125 0.86799295 0.90820487

0.57955041 0.64309569 0.66122617 0.70218508 0.73683088 0.76425565 0.83381066 0.87344666 0.86584103 0.90705653

0.58077387 0.64500122 0.66039403 0.7017031 0.73585315 0.76277298 0.83422621 0.87400861 0.86363833 0.90592516

0.58214036 0.6471676 0.65967382 0.70137504 0.73497601 0.76132838 0.83479261 0.87470063 0.86138049 0.90481083

0.58363833 0.64959306 0.65906012 0.70119981 0.73419736 0.75991828 0.8355134 0.87552633 0.85906294 0.90371346

0.58525623 0.65227597 0.65854734 0.70117624 0.73351496 0.75853903 0.83639222 0.87648947 0.85668095 0.90263272

0.5869825 0.65521484 0.65812972 0.701303 0.73292641 0.7571868 0.83743272 0.87759388 0.85422959 0.90156812

0.58880565 0.65840838 0.65780132 0.70157867 0.73242914 0.75585766 0.83863863 0.8788435 0.85170375 0.90051895

0.59071425 0.66185544 0.65755607 0.70200168 0.73202043 0.75454754 0.84001372 0.88024241 0.8490981 0.89948425

0.59269692 0.66555513 0.6573877 0.70257039 0.7316974 0.75325225 0.84156182 0.88179478 0.84640714 0.89846289

0.5947424 0.66950675 0.65728984 0.703283 0.73145701 0.75196745 0.8432868 0.88350487 0.84362515 0.89745346

0.59683955 0.67370985 0.65725594 0.70413765 0.73129606 0.75068869 0.84519261 0.8853771 0.84074623 0.89645435

0.59897735 0.67816422 0.65727934 0.70513232 0.73121119 0.74941137 0.84728325 0.88741596 0.83776424 0.8954637

0.60114491 0.68286993 0.65735323 0.70626494 0.73119889 0.74813076 0.84956276 0.88962609 0.83467287 0.89447941

0.60333154 0.68782732 0.65747069 0.7075333 0.7312555 0.74684201 0.85203526 0.89201222 0.83146557 0.89349913

0.60552668 0.69303703 0.65762467 0.70893512 0.73137719 0.74554013 0.85470493 0.8945792 0.82813561 0.89252028

0.60772 0.6985 0.657808 0.710468 0.73156 0.74422 0.857576 0.897332 0.824676 0.89154

0.60990133 0.7042175 0.65801343 0.71212948 0.73179979 0.74287636 0.86065278 0.90027571 0.82107958 0.8905552

0.61206074 0.71019112 0.65823357 0.71391698 0.7320923 0.74150381 0.86393962 0.90341554 0.81733893 0.88956253

0.6141885 0.7164228 0.65846098 0.71582787 0.7324331 0.74009683 0.86744098 0.9067568 0.81344645 0.88855837

0.61627512 0.72291481 0.65868808 0.71785942 0.73281761 0.73864975 0.87116136 0.91030493 0.80939429 0.88753887

0.61831135 0.72966981 0.65890724 0.72000883 0.73324114 0.73715678 0.87510533 0.91406549 0.80517437 0.88649989

0.62028816 0.73669081 0.65911074 0.72227321 0.7336988 0.73561196 0.87927754 0.91804415 0.8007784 0.88543706

0.62219681 0.74398121 0.65929078 0.72464963 0.73418562 0.73400922 0.88368271 0.9222467 0.79619786 0.88434574

0.62402878 0.75154479 0.6594395 0.72713509 0.73469645 0.73234233 0.88832566 0.92667906 0.791424 0.88322103

0.62577584 0.75938572 0.65954897 0.7297265 0.73522601 0.73060495 0.89321126 0.93134723 0.78644781 0.8820578

0.62743 0.76750859 0.65961122 0.73242075 0.73576891 0.72879055 0.89834447 0.93625738 0.78126009 0.88085062

0.62898356 0.77591839 0.6596182 0.73521466 0.73631958 0.72689249 0.90373034 0.94141574 0.77585138 0.87959387

0.63042908 0.78462052 0.65956184 0.738105 0.73687238 0.72490397 0.90937401 0.9468287 0.77021199 0.87828164

0.63175939 0.79362079 0.65943401 0.7410885 0.73742149 0.72281806 0.91528068 0.95250274 0.76433198 0.87690778

0.63296759 0.80292546 0.65922656 0.74416187 0.737961 0.72062766 0.92145568 0.95844446 0.75820119 0.87546591

0.63404705 0.8125412 0.65893131 0.74732174 0.73848487 0.71832554 0.92790442 0.96466058 0.7518092 0.87394942

0.63499142 0.82247512 0.65854004 0.75056476 0.73898693 0.7159043 0.93463237 0.97115793 0.74514537 0.87235146

0.6357946 0.83273476 0.65804451 0.75388751 0.73946091 0.7133564 0.94164516 0.97794344 0.73819879 0.87066494

0.63645076 0.84332809 0.6574365 0.7572866 0.73990043 0.71067414 0.94894847 0.98502417 0.73095834 0.86888257

0.63695434 0.85426356 0.65670775 0.76075857 0.740299 0.70784968 0.95654812 0.99240727 0.72341261 0.86699683

0.6373 0.86555 0.65585 0.7643 0.74065 0.704875 0.96445 1.0001 0.71555 0.865

0.63748268 0.87719673 0.654855 0.76790743 0.74094675 0.70174193 0.97266014 1.00810974 0.70735861 0.86288415

0.63749756 0.88921349 0.65371451 0.7715774 0.74118244 0.69844214 0.98118468 1.01644397 0.69882633 0.86064117

0.63734002 0.90161048 0.65242029 0.77530649 0.74135018 0.69496714 0.99002985 1.02511026 0.68994079 0.85826275

0.63700569 0.91439832 0.65096412 0.77909125 0.74144299 0.69130826 0.99920203 1.03411631 0.68068935 0.85574039

0.63649041 0.92758807 0.64933783 0.78292826 0.74145381 0.68745669 1.0087077 1.04346988 0.67105916 0.85306544

0.63579022 0.94119126 0.64753324 0.78681415 0.74137549 0.68340342 1.01855347 1.05317887 0.66103709 0.85022909

0.63490134 0.95521981 0.64554223 0.79074553 0.74120079 0.67913928 1.0287461 1.06325124 0.65060977 0.84722235

0.63382018 0.96968612 0.64335671 0.79471907 0.74092242 0.67465495 1.03929244 1.07369508 0.63976358 0.84403613

0.63254333 0.98460297 0.64096862 0.79873147 0.74053302 0.66994089 1.05019952 1.08451854 0.62848465 0.84066118

0.6310675 0.99998359 0.63836997 0.8027795 0.74002516 0.66498742 1.06147447 1.09572988 0.61675884 0.83708812

0.62938955 1.01584165 0.63555282 0.80685994 0.73939133 0.65978466 1.07312458 1.10733743 0.6045718 0.8333075

0.62750648 1.03219119 0.63250927 0.81096966 0.738624 0.65432256 1.0851573 1.11934964 0.59190888 0.82930974

0.62541535 1.04904668 0.62923152 0.81510557 0.73771558 0.64859086 1.0975802 1.131775 0.57875522 0.82508518

0.62311333 1.06642301 0.6257118 0.81926467 0.73665842 0.64257915 1.11040103 1.14462211 0.56509568 0.82062409

0.62059768 1.08433544 0.62194244 0.82344402 0.73544485 0.6362768 1.12362767 1.15789963 0.55091488 0.81591669

0.61786565 1.10279961 0.61791583 0.82764077 0.73406715 0.62967299 1.13726819 1.17161632 0.53619718 0.81095314

0.61491457 1.12183157 0.61362446 0.83185216 0.73251759 0.62275671 1.1513308 1.18578098 0.5209267 0.80572358

0.61174175 1.14144772 0.60906091 0.83607552 0.7307884 0.61551676 1.1658239 1.2004025 0.50508731 0.80021813

0.60834447 1.16166483 0.60421783 0.84030829 0.7288718 0.60794173 1.18075606 1.21548983 0.48866262 0.79442689

0.60472 1.1825 0.599088 0.844548 0.72676 0.60002 1.196136 1.231052 0.471636 0.78834

0.60086552 1.2039707 0.59366427 0.84879233 0.7244452 0.59173975 1.21197266 1.24709807 0.45399055 0.78194761

0.59677813 1.22609472 0.58793963 0.85303904 0.7219196 0.58308896 1.22827515 1.26363718 0.43570915 0.77523993

0.59245482 1.24889015 0.58190716 0.85728607 0.71917541 0.57405537 1.24505275 1.28067851 0.41677442 0.76820722

0.58789242 1.27237542 0.57556007 0.86153145 0.71620485 0.56462653 1.26231498 1.2982313 0.39716871 0.76083982

0.5830876 1.29656923 0.56889169 0.86577339 0.71300016 0.55478976 1.28007152 1.31630483 0.37687416 0.75312817

0.57803683 1.32149055 0.56189546 0.87001022 0.7095536 0.54453216 1.29833227 1.33490844 0.35587264 0.74506283

0.57273635 1.34715866 0.55456498 0.87424047 0.70585746 0.5338406 1.31710734 1.35405148 0.33414578 0.73663447

0.56718215 1.37359304 0.54689397 0.87846279 0.70190408 0.52270172 1.33640704 1.37374335 0.31167497 0.72783395

0.56136991 1.40081345 0.5388763 0.88267604 0.69768584 0.51110194 1.35624191 1.3939935 0.28844136 0.71865227

0.555295 1.42883984 0.53050597 0.88687925 0.69319516 0.49902742 1.37662272 1.41481137 0.26442584 0.70908062

0.54895243 1.45769239 0.52177714 0.89107164 0.68842453 0.48646411 1.39756045 1.43620646 0.23960909 0.69911044

0.54233683 1.48739146 0.51268413 0.89525262 0.68336651 0.47339771 1.41906632 1.45818827 0.21397151 0.68873336

0.53544239 1.51795757 0.50322142 0.89942183 0.67801372 0.45981364 1.4411518 1.48076632 0.18749329 0.67794128

0.52826284 1.54941142 0.49338363 0.9035791 0.67235887 0.44569713 1.46382859 1.50395013 0.16015439 0.66672639

0.52079143 1.58177382 0.48316558 0.90772449 0.66639475 0.43103309 1.48710863 1.52774924 0.13193451 0.65508114

0.51302085 1.61506571 0.47256225 0.91185829 0.66011425 0.41580623 1.51100413 1.5521732 0.10281312 0.64299834

0.50494323 1.64930813 0.46156879 0.91598104 0.65351036 0.40000097 1.53552755 1.57723153 0.07276948 0.63047113

0.49655009 1.6845222 0.45018055 0.92009351 0.64657619 0.38360146 1.56069163 1.60293376 0.04178259 0.617493

0.48783229 1.72072909 0.43839305 0.92419673 0.63930496 0.3665916 1.58650935 1.62928942 0.00983125 0.60405786

0.47878 1.75795 0.426202 0.928292 0.63169 0.348955 1.612994 1.656308 -0.023106 0.59016

0.46938264 1.79620616 0.41360332 0.9323809 0.62372481 0.330675 1.64015912 1.68399898 -0.0570508 0.57579418

0.45962887 1.83551879 0.40059311 0.93646527 0.615403 0.31173466 1.66801855 1.7123718 -0.0920251 0.56095562

0.4495065 1.87590907 0.3871677 0.94054726 0.60671835 0.29211675 1.69658643 1.74143589 -0.1280509 0.54564001

0.4390025 1.91739812 0.3733236 0.94462932 0.59766479 0.27180376 1.72587719 1.77120063 -0.1651507 0.52984358

0.42810291 1.96000702 0.35905756 0.9487142 0.58823643 0.25077788 1.75590555 1.80167535 -0.2033469 0.5135631

0.4167928 2.0037567 0.34436651 0.95280497 0.57842754 0.22902099 1.78668656 1.83286935 -0.2426623 0.49679589

0.40505625 2.04866799 0.32924764 0.95690502 0.56823258 0.20651469 1.81823559 1.86479185 -0.2831199 0.4795399

0.39287627 2.09476157 0.31369835 0.9610181 0.55764621 0.18324025 1.85056832 1.89745205 -0.3247429 0.46179369

0.38023477 2.14205793 0.29771625 0.96514828 0.5466633 0.15917865 1.88370074 1.93085904 -0.3675547 0.44355646

0.3671125 2.19057734 0.28129922 0.9693 0.53527891 0.13431055 1.91764922 1.96502187 -0.4115789 0.42482812

0.353489 2.24033988 0.26444535 0.97347807 0.52348833 0.10861626 1.95243043 1.99994952 -0.4568393 0.40560929

0.33934255 2.29136533 0.24715297 0.97768765 0.51128709 0.08207581 1.9880614 2.03565084 -0.5033598 0.3859013

0.32465012 2.3436732 0.22942069 0.98193432 0.49867096 0.05466887 2.02455951 2.07213465 -0.5511648 0.3657063

0.30938731 2.39728267 0.21124733 0.98622403 0.48563595 0.02637479 2.06194252 2.10940964 -0.6002785 0.3450272

0.2935283 2.45221259 0.19263199 0.99056315 0.47217832 -0.0028274 2.10022854 2.14748441 -0.6507257 0.32386778

0.2770458 2.5084814 0.17357401 0.99495844 0.45829463 -0.0329592 2.13943604 2.18636745 -0.702531 0.30223267

0.25991097 2.56610718 0.15407301 0.99941711 0.44398169 -0.064042 2.17958389 2.22606714 -0.7557194 0.28012739

0.2420934 2.62510753 0.13412887 1.0039468 0.42923662 -0.0960981 2.22069133 2.26659172 -0.8103162 0.2575584

0.223561 2.68549959 0.11374172 1.00855558 0.41405681 -0.1291499 2.26277802 2.30794935 -0.8663465 0.23453313

0.20428 2.7473 0.092912 1.013252 0.39844 -0.16322 2.305864 2.350148 -0.923836 0.21106

2 2.2 2.4 2.6 2.8 3

Tr'2 Tr'2.2 Tr'2.4 Tr'2.6 Tr'2.8 Tr'3

0.9991 0.9994 0.9988 1.0006 1.0004 0.9996

0.99709149 0.99678994 0.99718394 0.99973319 1.00025447 1.00048743

0.99513493 0.99438978 0.99565357 0.99898758 1.00013675 1.00127621

0.99322881 0.99218503 0.99420566 0.99835563 1.00004524 1.00197571

0.99137168 0.99016192 0.9928371 0.99783005 0.99997839 1.00259472

0.9895621 0.98830733 0.99154487 0.99740381 0.99993474 1.0031415

0.98779871 0.98660878 0.99032605 0.99707014 0.99991288 1.00362381

0.98608016 0.98505443 0.98917781 0.99682251 0.99991148 1.00404891

0.98440518 0.98363304 0.98809742 0.99665466 0.99992929 1.0044236

0.9827725 0.98233398 0.98708224 0.99656056 0.99996511 1.00475419

0.98118093 0.98114719 0.98612972 0.99653441 1.00001781 1.00504656

0.9796293 0.98006316 0.98523741 0.99657066 1.00008633 1.00530619

0.97811648 0.97907293 0.98440293 0.996664 1.00016967 1.00553811

0.97664139 0.97816809 0.98362399 0.99680933 1.00026689 1.00574698

0.97520299 0.9773407 0.9828984 0.99700181 1.00037712 1.00593709

0.97380027 0.97658334 0.98222404 0.99723678 1.00049954 1.00611236

0.97243227 0.97588908 0.98159886 0.99750984 1.00063339 1.00627636

0.97109806 0.97525143 0.98102091 0.99781677 1.00077798 1.00643234

0.96979676 0.97466436 0.98048831 0.99815359 1.00093268 1.00658323

0.96852751 0.97412228 0.97999925 0.99851653 1.00109689 1.00673166

0.9672895 0.97362 0.979552 0.998902 1.00127008 1.00688

0.96608196 0.97315275 0.97914491 0.99930664 1.00145178 1.00703031

0.96490414 0.97271616 0.97877639 0.99972727 1.00164158 1.00718443

0.96375534 0.9723062 0.97844493 1.00016093 1.00183908 1.007343940.9626349 0.97191924 0.97814908 1.00060482 1.00204399 1.0075102

0.96154218 0.97155198 0.97788746 1.00105636 1.00225602 1.00768435

0.96047659 0.97120145 0.97765878 1.00151314 1.00247495 1.00786734

0.95943755 0.97086502 0.97746177 1.00197294 1.0027006 1.00805992

0.95842453 0.97054035 0.97729527 1.00243372 1.00293286 1.00826269

0.95743704 0.97022541 0.97715814 1.0028936 1.00317162 1.00847606

0.95647462 0.96991844 0.97704934 1.00335091 1.00341685 1.00870031

0.95553681 0.96961796 0.97696787 1.00380411 1.00366855 1.00893559

0.95462323 0.96932274 0.97691279 1.00425186 1.00392677 1.0091819

0.9537335 0.96903182 0.97688321 1.00469296 1.00419159 1.00943915

0.95286728 0.96874445 0.97687832 1.0051264 1.00446312 1.00970714

0.95202424 0.9684601 0.97689734 1.00555129 1.00474155 1.0099856

0.95120412 0.96817848 0.97693956 1.00596694 1.00502705 1.01027416

0.95040664 0.96789949 0.97700432 1.00637277 1.00531987 1.01057238

0.9496316 0.9676232 0.97709101 1.00676837 1.00562028 1.01087979

0.94887877 0.96734989 0.97719907 1.00715349 1.00592859 1.01119585

0.948148 0.96708 0.977328 1.007528 1.00624512 1.01152

0.94743913 0.96681412 0.97747733 1.00789192 1.00657025 1.01185165

0.94675204 0.966553 0.97764665 1.00824541 1.00690438 1.01219019

0.94608663 0.96629752 0.9778356 1.00858877 1.00724794 1.01253502

0.94544283 0.96604872 0.97804386 1.00892241 1.00760138 1.01288552

0.94482059 0.96580772 0.97827116 1.0092469 1.00796519 1.01324111

0.94421988 0.96557578 0.97851727 1.00956291 1.00833989 1.01360121

0.9436407 0.96535426 0.978782 1.00987126 1.00872601 1.01396528

0.94308307 0.96514462 0.97906521 1.01017286 1.0091241 1.01433282

0.94254702 0.96494839 0.97936681 1.01046877 1.00953476 1.01470338

0.94203262 0.96476719 0.97968672 1.01076016 1.00995859 1.01507656

0.94153994 0.96460271 0.98002493 1.01104828 1.01039622 1.01545203

0.94106908 0.96445672 0.98038146 1.01133454 1.0108483 1.01582952

0.94062017 0.96433101 0.98075637 1.01162041 1.01131549 1.01620886

0.94019333 0.96422745 0.98114976 1.01190751 1.01179847 1.01658994

0.93978872 0.96414795 0.98156175 1.01219754 1.01229795 1.01697275

0.9394065 0.96409445 0.98199252 1.01249229 1.01281464 1.01735739

0.93904686 0.9640689 0.98244227 1.01279367 1.01334927 1.01774407

0.93871 0.9640733 0.98291124 1.01310368 1.01390259 1.01813309

0.93839614 0.96410966 0.98339972 1.01342439 1.01447535 1.01852488

0.9381055 0.96418 0.983908 1.013758 1.01506832 1.01892

0.93783832 0.96428634 0.98443644 1.01410676 1.01568228 1.01931913

0.93759486 0.9644307 0.9849854 1.01447304 1.016318 1.01972309

0.93737539 0.9646151 0.98555531 1.01485925 1.0169763 1.02013284

0.93718017 0.96484156 0.98614659 1.01526793 1.01765797 1.02054948

0.93700949 0.96511206 0.98675972 1.01570166 1.01836381 1.02097427

0.93686366 0.96542857 0.98739521 1.01616312 1.01909465 1.02140862

0.93674297 0.96579306 0.98805359 1.01665505 1.01985129 1.02185408

0.93664774 0.96620745 0.98873542 1.01718026 1.02063456 1.02231239

0.93657828 0.96667362 0.98944129 1.01774165 1.02144527 1.02278545

0.93653493 0.96719344 0.99017184 1.01834216 1.02228425 1.02327531

0.93651801 0.96776872 0.99092772 1.0189848 1.02315232 1.02378422

0.93652787 0.96840125 0.9917096 1.01967267 1.02405029 1.02431459

0.93656484 0.96909275 0.99251819 1.02040889 1.02497899 1.02486902

0.93662927 0.96984492 0.99335424 1.02119668 1.02593922 1.02545027

0.93672151 0.9706594 0.99421852 1.02203927 1.0269318 1.0260613

0.9368419 0.97153777 0.99511181 1.02293998 1.02795752 1.02670527

0.93699079 0.97248156 0.99603494 1.02390218 1.02901719 1.02738551

0.93716854 0.97349226 0.99698876 1.02492927 1.03011159 1.02810553

0.93737549 0.97457129 0.99797414 1.02602471 1.0312415 1.02886906

0.937612 0.97572 0.998992 1.027192 1.03240768 1.02968

0.93787841 0.97693971 1.00004326 1.0284347 1.0336109 1.03054246

0.93817506 0.97823166 1.00112888 1.02975639 1.0348519 1.03146073

0.93850229 0.97959703 1.00224984 1.0311607 1.03613141 1.03243931

0.93886044 0.98103695 1.00340717 1.03265131 1.03745015 1.03348289

0.93924984 0.98255249 1.00460189 1.03423192 1.03880883 1.03459634

0.9396708 0.98414463 1.00583507 1.03590626 1.04020813 1.03578476

0.94012366 0.98581432 1.00710782 1.03767812 1.04164871 1.03705343

0.9406087 0.98756244 1.00842124 1.03955128 1.04313124 1.0384078

0.94112624 0.98938981 1.00977648 1.04152959 1.04465633 1.03985356

0.94167655 0.99129719 1.01117472 1.04361691 1.04622461 1.04139656

0.94225993 0.99328528 1.01261716 1.04581711 1.04783666 1.04304286

0.94287663 0.99535474 1.01410503 1.0481341 1.04949305 1.0447987

0.94352692 0.99750615 1.01563958 1.05057181 1.05119432 1.04667052

0.94421102 0.99974005 1.0172221 1.0531342 1.05294099 1.04866494

0.94492917 1.00205694 1.0188539 1.05582523 1.05473354 1.05078876

0.94568159 1.00445725 1.02053632 1.05864889 1.05657246 1.05304899

0.94646846 1.00694138 1.02227073 1.06160918 1.05845817 1.05545279

0.94728996 1.00950968 1.02405852 1.06471011 1.06039108 1.05800751

0.94814626 1.01216246 1.02590113 1.0679557 1.06237157 1.06072068

0.9490375 1.0149 1.0278 1.07135 1.0644 1.0636

0.9499638 1.01772254 1.02975663 1.07489705 1.06647667 1.06665333

0.95092526 1.02063028 1.03177252 1.0786009 1.06860188 1.06988871

0.95192197 1.02362342 1.03384923 1.08246562 1.07077586 1.07331432

0.95295397 1.02670211 1.03598832 1.08649527 1.07299884 1.07693853

0.95402131 1.02986651 1.03819142 1.09069391 1.07527099 1.08076982

0.955124 1.03311674 1.04046015 1.09506561 1.07759245 1.08481685

0.95626202 1.03645292 1.04279618 1.09961444 1.07996333 1.08908842

0.95743532 1.03987519 1.04520123 1.10434448 1.08238369 1.09359345

0.95864385 1.04338365 1.04767703 1.10925978 1.08485354 1.09834102

0.95988749 1.04697844 1.05022534 1.11436441 1.08737289 1.10334031

0.96116613 1.0506597 1.05284798 1.11966242 1.08994166 1.10860065

0.96247961 1.05442759 1.05554679 1.12515786 1.09255975 1.11413145

0.96382774 1.0582823 1.05832364 1.13085478 1.09522701 1.11994227

0.9652103 1.06222404 1.06118044 1.13675722 1.09794325 1.12604275

0.96662704 1.06625307 1.06411914 1.14286918 1.10070823 1.13244263

0.96807766 1.07036969 1.06714172 1.1491947 1.10352167 1.13915175

0.96956184 1.07457425 1.07025022 1.15573776 1.10638322 1.14618002

0.97107923 1.07886716 1.07344669 1.16250235 1.1092925 1.15353743

0.97262943 1.08324889 1.07673323 1.16949244 1.11224909 1.16123405

0.974212 1.08772 1.080112 1.176712 1.11525248 1.16928

0.97582647 1.09228112 1.08358517 1.18416495 1.11830215 1.17768545

0.97747231 1.09693296 1.08715497 1.19185523 1.12139749 1.18646063

0.97914898 1.10167636 1.09082367 1.19978672 1.12453787 1.19561578

0.98085588 1.10651223 1.09459358 1.20796332 1.12772257 1.20516121

0.98259236 1.11144163 1.09846705 1.21638888 1.13095084 1.2151072

0.98435772 1.11646571 1.1024465 1.22506724 1.13422187 1.22546408

0.98615125 1.12158578 1.10653437 1.23400222 1.13753477 1.23624216

0.98797216 1.12680329 1.11073316 1.24319761 1.14088861 1.24745175

0.98981961 1.13211984 1.11504541 1.25265717 1.1442824 1.25910313

0.99169274 1.13753719 1.11947372 1.26238466 1.14771507 1.27120656

0.99359061 1.14305727 1.12402073 1.27238377 1.15118552 1.28377228

0.99551225 1.1486822 1.12868913 1.2826582 1.15469254 1.29681044

0.99745661 1.1544143 1.13348168 1.29321162 1.15823491 1.31033117

0.99942263 1.16025609 1.13840118 1.30404764 1.16181129 1.3243445

1.00140915 1.1662103 1.14345048 1.31516987 1.16542031 1.33886041

1.00341498 1.17227989 1.1486325 1.32658188 1.16906053 1.35388875

1.00543887 1.17846807 1.15395021 1.3382872 1.17273042 1.36943929

1.00747951 1.1847783 1.15940662 1.35028936 1.1764284 1.38552169

1.00953553 1.19121427 1.16500484 1.36259181 1.18015281 1.40214547

1.0116055 1.19778 1.170748 1.375198 1.18390192 1.41932

1.01368792 1.20447975 1.17663932 1.38811134 1.18767393 1.43705452

1.01578125 1.2113181 1.18268206 1.4013352 1.19146697 1.45535809

1.01788387 1.21829995 1.18887957 1.41487291 1.19527908 1.47423959

1.01999408 1.22543051 1.19523524 1.42872779 1.19910824 1.49370773

1.02211015 1.23271534 1.20175255 1.44290309 1.20295234 1.51377099

1.02423026 1.24016034 1.20843503 1.45740204 1.20680921 1.53443765

1.02635252 1.2477718 1.21528628 1.47222784 1.21067659 1.55571575

1.02847497 1.25555636 1.22230999 1.48738364 1.21455213 1.57761308

1.0305956 1.26352109 1.2295099 1.50287255 1.21843343 1.60013718

1.0327123 1.27167344 1.23688984 1.51869766 1.22231797 1.62329531

1.03482291 1.28002129 1.24445371 1.53486199 1.22620318 1.64709445

1.03692518 1.28857297 1.25220549 1.55136856 1.23008638 1.67154127

1.03901678 1.29733726 1.26014922 1.56822032 1.23396483 1.69664211

1.04109532 1.3063234 1.26828905 1.58542018 1.23783569 1.72240299

1.04315833 1.31554112 1.27662919 1.60297104 1.24169604 1.74882958

1.04520324 1.32500065 1.28517394 1.62087571 1.24554286 1.77592719

1.04722743 1.33471275 1.29392768 1.63913701 1.24937305 1.80370072

1.04922816 1.3446887 1.30289488 1.65775769 1.25318343 1.83215469

1.05120265 1.35494031 1.31208011 1.67674046 1.25697071 1.86129323

1.053148 1.36548 1.321488 1.696088 1.26073152 1.89112

EMR (EYKMAN MOLECULAR REFRACTION)

Komponen Xi Xi* EMR (Xi*).(EMR)

N2 0.0012 0.0013464991 9.407 0.012666517056CO2 0.05 0.05610412926 15.75 0.883640035907H2S 0 0 19.828 0O2 0 0 8,495 0H2 0 0 4.45 0C1 0.84 0.94254937163 14.115 13.30408438061

Total 0.8912 1 14.20039093357C2 0.05 0.45955882353 24.365 11.19715073529C3 0.03 0.27573529412 34.628 9.548161764706

i-C4 0.007 0.06433823529 44.741 2.878556985294n-C4 0.008 0.07352941176 44.243 3.253161764706i-C5 0.0138 0.12683823529 5.302 0.672496323529n-C5 0 0 55.267 0n-C6 0 0 65.575 0n-C7 0 0 74.875 0n-C8 0 0 86.193 0n-C9 0 0 96.529 0

n-C10 0 0 106.859 0Total 0.1088 1 27.54952757353

0 1 2 3 4 5 6 7 8 90.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

f(x) = − 0.0000012922331 x⁶ + 0.000041714556 x⁵ − 0.0005714991 x⁴ + 0.0033334869 x³ + 0.0043611182 x² − 0.0795720401 x + 1.000287836R² = 0.99968869090169

f(x) = − 0.0000068500322 x⁶ + 0.0001597965 x⁵ − 0.0015039836 x⁴ + 0.0067210343 x³ − 0.0001019922 x² − 0.0842411172 x + 1.0005421322R² = 0.999389898159624

f(x) = − 0.0000023601202 x⁶ + 0.0000778622239 x⁵ − 0.0011303252 x⁴ + 0.0073724908 x³ − 0.0055805461 x² − 0.0841998801 x + 1.0001326334R² = 0.999635257396675f(x) = 0.0001666667 x⁶ − 0.0023217949 x⁵ + 0.0118814103 x⁴ − 0.0259450758 x³ + 0.0359230769 x² − 0.1110314977 x + 0.9998592657R² = 0.999826270400682

f(x) = − 0.00000075679395 x⁶ + 0.0001043502 x⁵ − 0.0021202535 x⁴ + 0.0150566107 x³ − 0.0234107681 x² − 0.0855448172 x + 0.9990741099R² = 0.999264715408668

f(x) = − 0.000014241486 x⁶ + 0.00046705565 x⁵ − 0.0057609748 x⁴ + 0.0314391819 x³ − 0.0524685471 x² − 0.0786168086 x + 0.9996952399R² = 0.999884491934092f(x) = − 0.00005329664 x⁶ + 0.001335265 x⁵ − 0.0128883288 x⁴ + 0.0572726641 x³ − 0.0877820489 x² − 0.07814247109 x + 0.9994840041

R² = 0.999690746075342


R² = 0.999577730729116

f(x) = − 0.0007323701 x⁶ + 0.0141203699 x⁵ − 0.102369248 x⁴ + 0.3318989794 x³ − 0.3789752752 x² − 0.1594341315 x + 1.0023649083R² = 0.998383933393688

Tr=1Polynomial (Tr=1)Tr=1.1Polynomial (Tr=1.1)Tr=1.2Polynomial (Tr=1.2)Tr=1.3Polynomial (Tr=1.3)Tr=1.35Polynomial (Tr=1.35)Tr=1.4Polynomial (Tr=1.4)Tr=1.45Polynomial (Tr=1.45)Tr=1.5Polynomial (Tr=1.5)Tr=1.55Polynomial (Tr=1.55)Tr=1.6

PERSAMAAN GARIS

Tr=1R² = 0.998

Tr=1.1R² = 0.999

Tr=1.2R² = 0.999

Tr=1.3R² = 0.999

Tr=1.35R² = 0.999

Tr=1.4R² = 0.999

Tr=1.45R² = 0.999

Tr=1.5R² = 0.999

Tr=1.55R² = 0.999

Tr=1.6R² = 0.999

Tr Z1 0

1.1 01.2 01.3 0

1.35 0

y = -0.000x6 + 0.014x5 - 0.102x4 + 0.331x3 - 0.379x2 - 0.159x + 1.002

y = -0.000x6 + 0.008x5 - 0.065x4 + 0.221x3 - 0.266x2 - 0.120x + 1.000

y = -0.000x6 + 0.003x5 - 0.026x4 + 0.101x3 - 0.130x2 - 0.111x + 1.000

y = -5E-05x6 + 0.001x5 - 0.012x4 + 0.057x3 - 0.087x2 - 0.078x + 0.999

y = -1E-05x6 + 0.000x5 - 0.005x4 + 0.031x3 - 0.052x2 - 0.078x + 0.999

y = -8E-07x6 + 0.000x5 - 0.002x4 + 0.015x3 - 0.023x2 - 0.085x + 0.999

y = 0.000x6 - 0.002x5 + 0.011x4 - 0.025x3 + 0.035x2 - 0.111x + 0.999

y = -2E-06x6 + 8E-05x5 - 0.001x4 + 0.007x3 - 0.005x2 - 0.084x + 1.000

y = -7E-06x6 + 0.000x5 - 0.001x4 + 0.006x3 - 0.000x2 - 0.084x + 1.000

y = -1E-06x6 + 4E-05x5 - 0.000x4 + 0.003x3 + 0.004x2 - 0.079x + 1.000

0 1 2 3 4 5 6 7 8 90.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

f(x) = − 0.0000012922331 x⁶ + 0.000041714556 x⁵ − 0.0005714991 x⁴ + 0.0033334869 x³ + 0.0043611182 x² − 0.0795720401 x + 1.000287836R² = 0.99968869090169

f(x) = − 0.0000068500322 x⁶ + 0.0001597965 x⁵ − 0.0015039836 x⁴ + 0.0067210343 x³ − 0.0001019922 x² − 0.0842411172 x + 1.0005421322R² = 0.999389898159624


f(x) = − 0.00000075679395 x⁶ + 0.0001043502 x⁵ − 0.0021202535 x⁴ + 0.0150566107 x³ − 0.0234107681 x² − 0.0855448172 x + 0.9990741099R² = 0.999264715408668


R² = 0.999690746075342


R² = 0.999577730729116

f(x) = − 0.0007323701 x⁶ + 0.0141203699 x⁵ − 0.102369248 x⁴ + 0.3318989794 x³ − 0.3789752752 x² − 0.1594341315 x + 1.0023649083R² = 0.998383933393688


1.4 01.45 0

1.5 0

1.55 0

1.6 0

EMR (EYKMAN MOLECULAR REFRACTION)

T 545.4 RP 675 Psia

(ATc/Pc)1 0.4962634004071(ATc/Pc)2 0.873324615471(ATc/Pc) 0.537287660606EMR mix 15.652777

BTc/(Pc)^0.5 15.203757797788A=B

Tc 430.22438094533Tr' 1.267710581166Pc 800.73378283068Pr' 0.8429767976241Z 0.8879001538106

Pr0

0.51

1.52

2.53

3.54

4.55

5.56

0 1 2 3 4 5 6 7 8 90.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

f(x) = − 0.0000012922331 x⁶ + 0.000041714556 x⁵ − 0.0005714991 x⁴ + 0.0033334869 x³ + 0.0043611182 x² − 0.0795720401 x + 1.000287836R² = 0.99968869090169

f(x) = − 0.0000068500322 x⁶ + 0.0001597965 x⁵ − 0.0015039836 x⁴ + 0.0067210343 x³ − 0.0001019922 x² − 0.0842411172 x + 1.0005421322R² = 0.999389898159624


f(x) = − 0.00000075679395 x⁶ + 0.0001043502 x⁵ − 0.0021202535 x⁴ + 0.0150566107 x³ − 0.0234107681 x² − 0.0855448172 x + 0.9990741099R² = 0.999264715408668


R² = 0.999690746075342


R² = 0.999577730729116

f(x) = − 0.0007323701 x⁶ + 0.0141203699 x⁵ − 0.102369248 x⁴ + 0.3318989794 x³ − 0.3789752752 x² − 0.1594341315 x + 1.0023649083R² = 0.998383933393688


6.57

7.58

INTERPOLASITr 1 1 Z1 0.75137657000832

Tr 2 1.1 Z2 0.81278824822985

Tr 1.26771058117 Z = 0

Tr 1 1.1 Z1 0.81278824822985

Tr 2 1.2 Z2 0.86269998114062

Tr 1.26771058117 Z = 0

Tr 1 1.2 Z1 0.86269998114062

Tr 2 1.3 Z2 0.89991746212508

Tr 1.26771058117 Z = 0.88790015381056

Tr 1 1.3 Z1 0.89991746212508

Tr 2 1.35 Z2 0.91233753250353

Tr 1.26771058117 Z = 0

Tr 1 1.35 Z1 0.91233753250353

Tr 2 1.4 Z2 0.91897813968901

Tr 1.26771058117 Z = 0

Tr 1 1.4 Z1 0.91897813968901

Tr 2 1.45 Z2 0.92002851077178

Tr 1.26771058117 Z = 0

Tr 1 1.45 Z1 0.92002851077178Tr 2 1.5 Z2 0.92935846301305

Tr 1.26771058117 Z = 0

0 1 2 3 4 5 6 7 8 90.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

f(x) = − 0.0000012922331 x⁶ + 0.000041714556 x⁵ − 0.0005714991 x⁴ + 0.0033334869 x³ + 0.0043611182 x² − 0.0795720401 x + 1.000287836R² = 0.99968869090169

f(x) = − 0.0000068500322 x⁶ + 0.0001597965 x⁵ − 0.0015039836 x⁴ + 0.0067210343 x³ − 0.0001019922 x² − 0.0842411172 x + 1.0005421322R² = 0.999389898159624


f(x) = − 0.00000075679395 x⁶ + 0.0001043502 x⁵ − 0.0021202535 x⁴ + 0.0150566107 x³ − 0.0234107681 x² − 0.0855448172 x + 0.9990741099R² = 0.999264715408668


R² = 0.999690746075342


R² = 0.999577730729116

f(x) = − 0.0007323701 x⁶ + 0.0141203699 x⁵ − 0.102369248 x⁴ + 0.3318989794 x³ − 0.3789752752 x² − 0.1594341315 x + 1.0023649083R² = 0.998383933393688


Tr 1 1.5 Z1 0.92935846301305Tr 2 1.55 Z2 0.93227663661007

Tr 1.26771058117 Z = 0

Tr 1 1.55 Z1 0.93227663661007Tr 2 1.6 Z2 0.93806102360376

Tr 1.26771058117 Z = 0

Tr=1 Tr=1.1 Tr=1.2 Tr=1.3 Tr=1.35 Tr=1.4 Tr=1.45 Tr=1.5 Tr=1.55 Tr=1.6Z Z Z Z Z Z Z Z Z Z

1 1 1 1 1 1 1 1 1 10.872 0.8975 0.9225 0.9425 0.95 0.95 0.95 0.9575 0.96 0.9625

0.7 0.78 0.8375 0.8825 0.895 0.9025 0.91 0.9175 0.9225 0.9280.605 0.69 0.765 0.8225 0.845 0.8625 0.87 0.88 0.89 0.90.595 0.6675 0.73 0.78 0.805 0.825 0.84 0.854 0.8625 0.8750.63 0.6775 0.72 0.765 0.785 0.8 0.82 0.83 0.85 0.86250.68 0.705 0.7325 0.765 0.775 0.7875 0.81 0.8225 0.8425 0.855

0.7325 0.7475 0.755 0.775 0.785 0.795 0.8075 0.822 0.84 0.8520.79 0.7875 0.7865 0.7975 0.8025 0.8075 0.8175 0.828 0.8425 0.85750.86 0.84 0.8275 0.825 0.83 0.83 0.835 0.84 0.852 0.865

0.925 0.8975 0.875 0.8575 0.8625 0.86 0.858 0.8675 0.880.9925 0.9625 0.9275 0.895 0.895 0.8875 0.8875 0.89 0.91.055 1.0225 0.985 0.935 0.93 0.92 0.918 0.9175 0.924

1.04 0.9775 0.9675 0.96 0.9505 0.95 0.951.0225 1.005 0.9925 0.983 0.98 0.978

1.0425 1.025 1.015 1.01 1.0051.0475 1.0425 1.0375

Menghitung nilai Z dengan metoda ASTM

Tekanan (Psia) 675 ∑xj.bj 0.0145Temperatur (R ) 545.4 z 0.858745

komponen fraksi mol (xj) summation factor [bj]H2 0.0000 0.0000 0.0000N2 0.0012 0.0044 0.0000O2 0.0000 0.0073 0.0000

H2S 0.0000 0.0253 0.0000CO2 0.0500 0.0197 0.0010

methane 0.8400 0.0116 0.0097ethane 0.0500 0.0239 0.0012

prophane 0.0300 0.0344 0.0010i-Butane 0.0070 0.0458 0.0003n-Butane 0.0080 0.0478 0.0004i-pentane 0.0138 0.0581 0.0008n-pentane 0.0000 0.0631 0.0000n-Hexane 0.0000 0.0602 0.0000n-Heptane 0.0000 0.0944 0.0000n-Octane 0.0000 o,11137

n-Nonane [C9] 0.0000 0.1331 0.0000n-dekane [C10] 0.0000 0.1538 0.0000

jumlah 1.0000 0.0145

xj.bj

HasilHasil

P 675 PsiaT 545.4 C

0 0.05 0.1 0.15 0.2 0.25 0.3

0 0 7 12 17 20 22 23.5

0.05 11 15 19 22.5 25 26.5 27.7

0.1 17 21 24 26 28 29 29.6

0.15 22 25 27 29 30 30.7 30.8

0.2 25 28 30 31 31.5 31.7 31.3

0.25 29 30.5 31.8 32.2 32.4 32.2 31.3

0.3 31 32.3 33 33.1 32.8 32 30.9

0.35 33 33.3 33.5 33.4 32.6 31.4 30

0.4 34 34.1 33.7 33 31.9 30.2 28.3

0.45 34.5 34.1 33.2 32.2 30.5 28.6 26.2

0.5 34.3 33.5 32.4 31 29 26.6 24

0.55 33.5 32.5 31 29 26.5 24 21

0.6 32.4 31 29 26.5 24 20.9

0.65 30.5 28.7 26 23.5 20

0.7 28 27 23 20

0.75 25 22.4

0.8 21

A 0.05B 0

ε3 7.101361 Tc" 489.586 Tr" 1.114003Tc' 493.5343 Pc" 682.8491 Pr" 0.988505Pc' 688.3561 ω' 0.038535

ε3 ValueCO2 Fraction

H2S

Fra

cti

on

0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8

25.8 25.5 25.8 25 24 23 21.5 19.8 17 14.8

28.3 28.4 28 27.3 26.1 24.5 22.5 20 17.5 14.7

29.7 29.4 28.7 27.5 26 24 21.8 19 16

30.5 29.8 28.5 27 25 23 20 17

30.6 29.5 28 26 23.4 21 18

30.2 28.6 26.8 24.5 21.7 18.5

29.2 27.4 25 22.4 19

28 25.5 23 20

26 23.2 20

23.5 20.8

20.5

Z 0.758901

CO2 Fraction

Gas Alam dengan Kandungan CO2 Tinggi

Komponen Yi(%) yi Tc (R Pc (psia) Tc/Pc yiTc/√Pc

84 0.84 343 668 0.5134731 11.14769748789

5 0.05 550 708 0.7768362 1.0335132885043 0.03 665 616 1.0795455 0.803808406615

0.7 0.007 673 551 1.2214156 0.2006953474910.8 0.008 766 529 1.4480151 0.266434782609

1.38 0.0138 846 489 1.7300613 0.5279527056340 0 829 490 1.6918367 00 0 914 437 2.0915332 00 0 973 397 2.4508816 00 0 1024 361 2.8365651 00 0 1071 332 3.2259036 00 0 1112 304 3.6578947 05 0.05 227 493 0.4604462 0.5111782912410 0 548 1071 0.5116713 0

0.12 0.0012 673 1305 0.5157088 0.0223558431770 0 279 737 0.3785617 00 0 60 188 0.3191489 0

Total 1 14.51363615316

K 14.5136361532J 0.56253223262Tc' 374.459670346 Tr' 1.4564986Pc' 665.667936218 Pr' 1.0140191Zo 0.89157151881 Tr" 1.4596593Z1 0.08570077287 Pr" 1.0162196Z 0.89412387637dengan faktor koreksi :ωh 0.03070329897τ 0.8108369315A 1Tc" 373.648833414Pc" 664.226530936Zo 0.89257009713Z1 0.08554362495Z 0.89511777447

Tr Zo Zo range Zo' range Z1 Z1 range1 0.32307564725 -0.0757144

2.36544 2.3795813 0.6213895 0.626216066831.05 0.54677454218 0.0006389

C1

C2

C3

n-C4

i-C4

n-C5

i-C5

n-C6

n-C7

n-C8

n-C9

n-C10

N2

CO2

H2SO2

H2

1.19796 1.2030233 0.5861311 0.5906835047961.1 0.62687143567 0.0726554

1.076889 1.080879 0.1640825 0.1648931229621.15 0.68998776997 0.0854784

1.003538 1.0067714 0.1982252 0.1993878701691.2 0.74113812517 0.1038711

1.090715 1.0950223 0.1057473 0.1057704016371.25 0.80928206961 0.1042368

0.912067 0.9136402 0.0879273 0.0876777062171.3 0.8341696228 0.1002878

0.896068 0.8973178 0.0818555 0.0814832637131.4 0.87372144 0.0885099

0.891572 0.8925701 0.0857008 0.0855436249491.5 0.90531526122 0.0835379

0.894837 0.8955983 0.0855679 0.0854203967041.6 0.92940257796 0.0788714

0.909748 0.9101808 0.076648 0.0766969535481.7 0.94309909069 0.0804208

0.907376 0.9078401 0.0929207 0.0927584269041.8 0.95776951291 0.0752874

0.91782 0.9181877 0.0650182 0.0651127049441.9 0.96939955764 0.078277

0.934301 0.9345508 0.0868434 0.0867823822412 0.97731360604 0.0763454

Zo1 0 0Zo2 0.89157151881 0.8925701Z1i 0 0Z1ii 0.08570077287 0.0855436

Gas Alam dengan Kandungan CO2 Tinggi

yiTc/Pc yi(Tc/Pc)^0.5 ωi yiωi Tekanan 675 psia0.431317365269 0.6019190866 0.014 0.01176

0.03884180791 0.0440691547 0.099 0.00495 Temperatur 545.4 R0.032386363636 0.031170353 0.152 0.004560.008549909256 0.0077362371 0.201 0.001407 Sistem = 20.011584120983 0.00962668 0.185 0.00148 1 = metrik0.023874846626 0.0181513879 0.254 0.0035052 2 = English

0 0 0.222 00 0 0.301 00 0 0.35 00 0 0.402 00 0 0.446 00 0 0.489 0

0.023022312373 0.0339280948 0.04 0.0020 0 0.225 0

0.000618850575 0.0008617544 0.1 0.000120 0 0.0213 00 0 0 0

0.570195576628 0.7474627486 0.0297822

%CO2 τ τ range5 1.3188130902

0.81083693110 2.5887534871

0.79872945915 3.8673420783

2.11928564620 4.5956989251

-0.5178684625 6.0996893336

5.61216027230 6.2104913931

5.02292721935 6.4304106847

0.36238755640 7.3785392985

5.7364248845 7.6004466524

4.62982683750 7.9540918685

14.4407826560 6.5739448938

14.0015845370 5.2708502203

16.0107380380 3.6678818905

14.3489420390 2.2807312236

τ1 0.810836931τ2 0

Water ContentW 1198.517

Temperatur dan tekanan kritis dari campuran T(F) Persamaan GarisT 545.4 R 70 y = 6E-12x3 - 1E-10x2 - 5E-06x + 0.003

T 86 F 100 y = 8E-14x4 - 1E-10x3 + 9E-08x2 - 4E-05x + 0.010P 675 psia 130 y = 2E-13x4 - 3E-10x3 + 2E-07x2 - 0.000x + 0.027

Tc 373.6488334 F 160 y = 4E-13x4 - 7E-10x3 + 6E-07x2 - 0.000x + 0.064Pc 664.2265309 psia

Tr dan Pr untuk sistem gas dan menentukan Z dengan metode EMR T (F) Persamaan Garis80 y = -0.000x2 + 0.435x + 110.0

Tr 0.230162635 100 y = -0.000x2 + 0.565x + 94.37Pr 1.016219571 130 y = -0.000x2 + 0.606x + 87.49

160 y = -0.000x2 + 0.627x + 86.40Z 0.887900154

Mencari nilai konstanta k dari fig 6.5k 0.009859094

Mencari nilai fugasitas air (fw) dari fig 6.6fw 403.625

Menentukan nilai koefisien fugasitas (f/P) dari fig 6.7 Tr Persamaan Garisf/P 0.2072523089 0.5 y = 0.1649x2 - 0.73x + 0.7788

f 139.89530848 0.6 y = 0.1563x2 - 0.718x + 0.8415Nilai water content dalam fraksi mol 0.7 y = 0.1432x2 - 0.692x + 0.9033

y 0.0252595941 0.8 y = 0.1223x2 - 0.6345x + 0.95110.9 y = 0.0959x2 - 0.5532x + 0.99581 y = 0.0004x4 - 0.0113x3 + 0.1122x2 - 0.4922x + 1.0263

1.1 y = 0.0002x4 - 0.0055x3 + 0.0654x2 - 0.3506x + 1.02421.2 y = 3E-05x4 - 0.001x3 + 0.031x2 - 0.228x + 1.0131.3 y = -1E-06x4 - 0.0006x3 + 0.0185x2 - 0.1672x + 1.01331.4 y = -5E-05x4 + 0.0007x3 + 0.005x2 - 0.107x + 1.0011.5 y = 6E-06x4 - 0.0004x3 + 0.0106x2 - 0.0978x + 1.00841.6 y = -2E-06x4 - 1E-04x3 + 0.0059x2 - 0.0671x + 1.00311.7 y = 2E-05x4 - 0.0006x3 + 0.0079x2 - 0.0586x + 1.0011.8 y = 3E-06x4 - 0.0001x3 + 0.0043x2 - 0.045x + 0.99711.9 y = 2E-05x4 - 0.0006x3 + 0.0068x2 - 0.0407x + 0.99962 y = -6E-06x4 + 1E-06x3 + 0.0031x2 - 0.0284x + 0.9985

2.2 y = 6E-05x4 - 0.0012x3 + 0.0089x2 - 0.0274x + 0.99862.4 y = 9E-05x4 - 0.0019x3 + 0.0143x2 - 0.0357x + 1.0042.6 y = 3E-06x4 - 2E-05x3 + 0.0008x2 + 0.0032x + 1.00022.8 y = -1E-05x4 + 0.0003x3 - 0.0009x2 + 0.0092x + 0.99983 y = 5E-06x4 - 9E-05x3 + 0.0012x2 + 0.0077x + 1.0025

3.5 y = -4E-06x4 + 0.0002x3 - 0.0009x2 + 0.0154x + 1.0019

lbm/MMscf Fig. 6.1.a

Persamaan Garis T

y = 6E-12x3 - 1E-10x2 - 5E-06x + 0.003 (F)y = 8E-14x4 - 1E-10x3 + 9E-08x2 - 4E-05x + 0.010y = 2E-13x4 - 3E-10x3 + 2E-07x2 - 0.000x + 0.027 -40y = 4E-13x4 - 7E-10x3 + 6E-07x2 - 0.000x + 0.064 -20

020

Persamaan Garis 40y = -0.000x2 + 0.435x + 110.0 60y = -0.000x2 + 0.565x + 94.37 80y = -0.000x2 + 0.606x + 87.49 100y = -0.000x2 + 0.627x + 86.40 120

140160180200220240

f/Py = 0.1649x2 - 0.73x + 0.7788 0.207252y = 0.1563x2 - 0.718x + 0.8415 0.273266y = 0.1432x2 - 0.692x + 0.9033 0.347959y = 0.1223x2 - 0.6345x + 0.9511 0.432608y = 0.0959x2 - 0.5532x + 0.9958 0.532663y = 0.0004x4 - 0.0113x3 + 0.1122x2 - 0.4922x + 1.0263 0.630554 FIG. 6.5y = 0.0002x4 - 0.0055x3 + 0.0654x2 - 0.3506x + 1.0242 0.729893y = 3E-05x4 - 0.001x3 + 0.031x2 - 0.228x + 1.013 0.812298 Py = -1E-06x4 - 0.0006x3 + 0.0185x2 - 0.1672x + 1.0133 0.861862 (Psia)y = -5E-05x4 + 0.0007x3 + 0.005x2 - 0.107x + 1.001 0.898109 200

y = 6E-06x4 - 0.0004x3 + 0.0106x2 - 0.0978x + 1.0084 0.919547 400y = -2E-06x4 - 1E-04x3 + 0.0059x2 - 0.0671x + 1.0031 0.940898 600y = 2E-05x4 - 0.0006x3 + 0.0079x2 - 0.0586x + 1.001 0.949 800y = 3E-06x4 - 0.0001x3 + 0.0043x2 - 0.045x + 0.9971 0.955709 1000y = 2E-05x4 - 0.0006x3 + 0.0068x2 - 0.0407x + 0.9996 0.964654 1200y = -6E-06x4 + 1E-06x3 + 0.0031x2 - 0.0284x + 0.9985 0.972835 1400y = 6E-05x4 - 0.0012x3 + 0.0089x2 - 0.0274x + 0.9986 0.978751 1600y = 9E-05x4 - 0.0019x3 + 0.0143x2 - 0.0357x + 1.004 0.980591 1800y = 3E-06x4 - 2E-05x3 + 0.0008x2 + 0.0032x + 1.0002 1.00426 2000y = -1E-05x4 + 0.0003x3 - 0.0009x2 + 0.0092x + 0.9998 1.008524y = 5E-06x4 - 9E-05x3 + 0.0012x2 + 0.0077x + 1.0025 1.011475y = -4E-06x4 + 0.0002x3 - 0.0009x2 + 0.0154x + 1.0019 1.016826

P(Psia)

200400600800

10001200140016001800

Water Content

P=14,7 psia P=25 psia P=50 psia P=100 psia P=200 psia P=300 psia9 6 3.5 2 1.1

24 16 9 5 2.6 1.970 43 23 12 6.8 4.5

170 100 51 28 15.5 11350 220 120 60 36 23780 410 230 125 70 45

1500 900 450 230 130 902600 1700 900 420 230 1605000 3000 1500 725 400 2709000 5100 2500 1300 700 460

8500 4000 2000 1100 7606400 3400 1800 1200

5200 2700 19008000 3900 2800

5600 4000

kT=70 F 100 F 130 F 160 F0.0024 0.0056 0.013 0.028

0.0017 0.0036 0.0075 0.0150.0012 0.003 0.0058 0.01150.001 0.0022 0.0049 0.01

0.0009 0.002 0.0045 0.0090.00085 0.0018 0.004 0.00850.0008 0.0017 0.0038 0.008

0.00072 0.0016 0.0035 0.00750.0007 0.00155 0.0033 0.0073

0.0015 0.0032 0.007

kT=20 c 25 c 30 c 40 c 50 c 60 c0.0024 0.003 0.0036 0.007 0.009 0.01750.0015 0.0019 0.0025 0.0038 0.0058 0.00950.0011 0.0014 0.0018 0.003 0.0045 0.0075

0.00095 0.0012 0.00155 0.0025 0.004 0.0060.00085 0.001 0.0013 0.0022 0.0036 0.00550.00075 0.0009 0.0012 0.002 0.0033 0.0050.0007 0.00085 0.0011 0.0019 0.003 0.0048

0.00068 0.00083 0.00105 0.0018 0.0028 0.00460.00065 0.00082 0.001 0.00175 0.00275 0.0045

0.00062 0.0008 0.001 0.0017 0.0027 0.0044

Water Content

P=400 psia P=500 psia P=600 psia P=800 psia P=1000 psia P=1500 psia

1.4 1.3 1.23.6 3 2.6 2.2 1.8 1.58 7.5 6 5 4 3.2

18 15 12 10.5 9 735 32 25 20 16 1370 58 46 38 35 25

130 105 82 70 60 45220 170 140 120 100 80350 300 240 190 170 125600 470 400 310 270 200900 760 620 500 420 330

1400 1100 900 720 640 4902000 1700 1350 1100 990 7003000 2400 1900 1600 1300 1000

T(F) Persamaan Garis70 y = 6E-12x3 - 1E-10x2 - 5E-06x + 0.003

100 y = 8E-14x4 - 1E-10x3 + 9E-08x2 - 4E-05x + 0.010130 y = 2E-13x4 - 3E-10x3 + 2E-07x2 - 0.000x + 0.027160 y = 4E-13x4 - 7E-10x3 + 6E-07x2 - 0.000x + 0.064

k70 c

0.0250.014

0.010.0090.008

0.00790.00780.00780.0077

0.0076

T(C)20253040506070

Water Content

P=2000 psia P=3000 psia P=5000 psia P=10000 psia

1.25 1.22.7 2.4 2.1 1.85.8 4.8 4 3.5

11.5 9.6 8 6.220 17 14 1137 32 24 1866 50 40 30

100 74 65 48170 125 100 75250 200 140 110370 280 210 155540 420 300 220760 600 410 300

Persamaan Garis R² y = 6E-12x3 - 1E-10x2 - 5E-06x + 0.003 0.999y = 8E-14x4 - 1E-10x3 + 9E-08x2 - 4E-05x + 0.010 0.996y = 2E-13x4 - 3E-10x3 + 2E-07x2 - 0.000x + 0.027 0.999y = 4E-13x4 - 7E-10x3 + 6E-07x2 - 0.000x + 0.064 0.999

Persamaan Garis R² y = - 2E-11x3 + 2E-08x2 - 1E-05x + 0.004 0.999y = - 2E-11x3 + 2E-08x2 - 2E-05x + 0.005 0.999y = - 5E-12x3 + 1E-08x2 - 1E-05x + 0.005 0.999y = 1E-13x4 - 2E-10x3 + 2E-07x2 - 7E-05x + 0.016 0.999y = 3E-14x4 - 6E-11x3 + 8E-08x2 - 5E-05x + 0.015 0.999y = 3E-13x4 - 5E-10x3 + 4E-07x2 - 0.000x + 0.040 0.998y = 8E-14x4 - 2E-10x3 + 3E-07x2 - 0.000x + 0.048 0.999

Grafik 6.6

1 2 3 4 5 6 725 1 1.35 1.8 2.2 2.45 2.7 2.9530 1 1.5 1.95 2.35 2.7 2.95 3.240 1 1.6 2.15 2.6 3.05 3.3 3.5550 1 1.7 2.25 2.7 3.1 3.4 3.7570 1 1.8 2.35 2.9 3.2 3.7 3.95

T (F)/P (Psia) 200 300 400 500 600 700 80080 175 235 275 315 340 370 395

100 175 250 305 350 395 430 465130 175 255 315 365 410 445 480160 175 260 320 375 420 465 495

T (0C)/P (MPa)

Grafik 6.7

Tr / Pr 0.1 0.2 0.3 0.4 0.5 0.6 0.80.5 0.83 0.65 0.545 0.47 0.4 0.355 0.2750.6 0.86 0.73 0.625 0.54 0.475 0.425 0.340.7 0.89 0.795 0.705 0.625 0.56 0.505 0.420.8 0.92 0.845 0.77 0.705 0.65 0.595 0.50.9 0.945 0.89 0.84 0.79 0.745 0.695 0.611 0.97 0.925 0.89 0.85 0.815 0.775 0.71

1.1 0.98 0.95 0.92 0.895 0.87 0.845 0.7951.2 0.985 0.965 0.945 0.93 0.91 0.89 0.8551.3 0.99 0.98 0.965 0.95 0.94 0.92 0.891.4 0.99 0.98 0.97 0.96 0.95 0.94 0.921.5 0.997 0.985 0.98 0.97 0.96 0.96 0.941.6 0.995 0.99 0.985 0.975 0.97 0.965 0.961.7 0.995 0.992 0.987 0.978 0.97 0.965 0.961.8 0.995 0.993 0.988 0.98 0.97 0.965 0.961.9 1 0.994 0.989 0.983 0.971 0.972 0.9752 1 0.995 0.99 0.985 0.982 0.98 0.979

2.2 1 0.997 0.992 0.987 0.983 0.981 0.982.4 1 0.998 0.995 0.995 0.99 0.985 0.9832.6 1 1 1 1.001 1.003 1.005 1.0072.8 1 1 1.001 1.003 1.005 1.007 1.0093 1.002 1.003 1.005 1.007 1.008 1.009 1.01

3.5 1.002 1.004 1.008 1.01 1.01 1.011 1.013

8 9 10 11 12 13 14 15 163.15 3.35 3.45 3.6 3.7 3.8 3.9 3.95 4.05

3.4 3.6 3.7 3.85 3.95 4.05 4.15 4.2 4.33.8 4 4.15 4.3 4.35 4.45 4.5 4.55 4.6

4 4.2 4.35 4.45 4.55 4.65 4.7 4.75 4.754.15 4.35 4.5 4.65 4.75 4.85 4.95 5 5.05

T (oC) Persamaan Kurva70 y = -0.021x2 + 0.611x + 0.64650 y = -0.021x2 + 0.591x + 0.59240 y = -0.019x2 + 0.557x + 0.60330 y = -0.015x2 + 0.461x + 0.66925 y = -0.013x2 + 0.416x + 0.646

900 1000 1100 1200 1300 1400 1500 1600 1700420 440 460 485 505 520 535 550 560485 510 535 555 575 590 605 615 630515 535 565 585 605 630 645 660 670525 555 580 600 625 645 665 685 690

T (F) Persamaan Kurva R280 y = -0.000x2 + 0.435x + 110.0 0.997

100 y = -0.000x2 + 0.565x + 94.37 0.995130 y = -0.000x2 + 0.606x + 87.49 0.995160 y = -0.000x2 + 0.627x + 86.40 0.995

1 2 3 4 5 6 8 100.22 0.075 0.0350.28 0.12 0.060.35 0.16 0.090.43 0.22 0.130.53 0.285 0.1950.63 0.39 0.29 0.25 0.22 0.21 0.2 0.2

0.745 0.525 0.42 0.365 0.34 0.32 0.308 0.3150.815 0.67 0.55 0.5 0.46 0.44 0.425 0.435

0.87 0.745 0.655 0.6 0.565 0.54 0.53 0.550.9 0.81 0.74 0.69 0.64 0.635 0.625 0.65

0.925 0.85 0.79 0.765 0.74 0.72 0.712 0.730.94 0.89 0.85 0.825 0.8 0.79 0.785 0.8050.95 0.915 0.882 0.86 0.85 0.84 0.835 0.85

0.955 0.93 0.9 0.88 0.865 0.86 0.87 0.8950.97 0.942 0.925 0.915 0.91 0.905 0.913 0.9350.97 0.96 0.94 0.935 0.93 0.933 0.95 0.97

0.978 0.975 0.973 0.97 0.972 0.98 1 1.0550.979 0.977 0.98 1 1.005 1.01 1.04 1.085

1 1.01 1.018 1.02 1.035 1.05 1.075 1.121.01 1.015 1.025 1.03 1.05 1.065 1.095 1.141.01 1.02 1.035 1.05 1.06 1.08 1.115 1.16

1.015 1.03 1.045 1.06 1.0735 1.095 1.14 1.2

Tr Persamaan Garis0.5 y = 0.1649x2 - 0.73x + 0.77880.6 y = 0.1563x2 - 0.718x + 0.84150.7 y = 0.1432x2 - 0.692x + 0.90330.8 y = 0.1223x2 - 0.6345x + 0.95110.9 y = 0.0959x2 - 0.5532x + 0.99581 y = 0.0004x4 - 0.0113x3 + 0.1122x2 - 0.4922x + 1.0263

1.1 y = 0.0002x4 - 0.0055x3 + 0.0654x2 - 0.3506x + 1.02421.2 y = 3E-05x4 - 0.001x3 + 0.031x2 - 0.228x + 1.0131.3 y = -1E-06x4 - 0.000x3 + 0.018x2 - 0.167x + 1.0131.4 y = -5E-05x4 + 0.0007x3 + 0.005x2 - 0.107x + 1.0011.5 y = 6E-06x4 - 0.0004x3 + 0.0106x2 - 0.0978x + 1.00841.6 y = -2E-06x4 - 1E-04x3 + 0.0059x2 - 0.0671x + 1.00311.7 y = 2E-05x4 - 0.0006x3 + 0.0079x2 - 0.0586x + 1.001

1.8 y = 3E-06x4 - 0.0001x3 + 0.0043x2 - 0.045x + 0.99711.9 y = 2E-05x4 - 0.0006x3 + 0.0068x2 - 0.0407x + 0.99962 y = -6E-06x4 + 1E-06x3 + 0.0031x2 - 0.0284x + 0.9985

2.2 y = 6E-05x4 - 0.0012x3 + 0.0089x2 - 0.0274x + 0.99862.4 y = 9E-05x4 - 0.0019x3 + 0.0143x2 - 0.0357x + 1.0042.6 y = 3E-06x4 - 2E-05x3 + 0.0008x2 + 0.0032x + 1.00022.8 y = -1E-05x4 + 0.0003x3 - 0.0009x2 + 0.0092x + 0.99983 y = 5E-06x4 - 9E-05x3 + 0.0012x2 + 0.0077x + 1.0025

3.5 y = -4E-06x4 + 0.0002x3 - 0.0009x2 + 0.0154x + 1.0019

R20.9910.9950.9940.9950.994

1800 1900 2000570 575 580640 645 650685 680 700705 715 720

Persamaan Garis R² y = 0.1649x2 - 0.73x + 0.7788 0.999y = 0.1563x2 - 0.718x + 0.8415 0.959y = 0.1432x2 - 0.692x + 0.9033 0.98y = 0.1223x2 - 0.6345x + 0.9511 0.991y = 0.0959x2 - 0.5532x + 0.9958 0.999y = 0.0004x4 - 0.0113x3 + 0.1122x2 - 0.4922x + 1.0263 0.999y = 0.0002x4 - 0.0055x3 + 0.0654x2 - 0.3506x + 1.0242 0.999y = 3E-05x4 - 0.001x3 + 0.031x2 - 0.228x + 1.013 0.999y = -1E-06x4 - 0.000x3 + 0.018x2 - 0.167x + 1.013 0.999y = -5E-05x4 + 0.0007x3 + 0.005x2 - 0.107x + 1.001 0.999y = 6E-06x4 - 0.0004x3 + 0.0106x2 - 0.0978x + 1.0084 0.998y = -2E-06x4 - 1E-04x3 + 0.0059x2 - 0.0671x + 1.0031 0.999y = 2E-05x4 - 0.0006x3 + 0.0079x2 - 0.0586x + 1.001 0.998

y = 3E-06x4 - 0.0001x3 + 0.0043x2 - 0.045x + 0.9971 0.994y = 2E-05x4 - 0.0006x3 + 0.0068x2 - 0.0407x + 0.9996 0.988y = -6E-06x4 + 1E-06x3 + 0.0031x2 - 0.0284x + 0.9985 0.99y = 6E-05x4 - 0.0012x3 + 0.0089x2 - 0.0274x + 0.9986 0.988y = 9E-05x4 - 0.0019x3 + 0.0143x2 - 0.0357x + 1.004 0.992y = 3E-06x4 - 2E-05x3 + 0.0008x2 + 0.0032x + 1.0002 0.995y = -1E-05x4 + 0.0003x3 - 0.0009x2 + 0.0092x + 0.9998 0.998y = 5E-06x4 - 9E-05x3 + 0.0012x2 + 0.0077x + 1.0025 0.999y = -4E-06x4 + 0.0002x3 - 0.0009x2 + 0.0154x + 1.0019 0.999

HEATING VALUE

Komposisi Gas Data Heating Value

KomponenFraksi Mol

Heating Value Heating Value

(MJ/m3) (Btu/scf)

C1 0.84 37.694 1009.0193778

C2 0.05 66.032 1767.5907984

C3 0.03 93.972 2515.5082764

i-C4 0.007 121.426 3250.4161662

n-C4 0.008 121.779 3259.8655173

i-C5 0.0138 149.319 3997.0755153

n-C5 0 149.654 4006.0430298

n-C6 0 177.556 4752.9432972

n-C7 0 205.431 5499.1208097

n-C8 0 233.286 6244.7629482

n-C9 0 261.189 6991.6899843

n-C10 0 289.066 7737.9210342

N2 0.0012 0 0

CO2 0.05 0 0

H2S 0 23.791 636.8541417

O2 0 0 0

H2 0 12.091 323.6603517

Total 1 1942.286 51992.4712482

HEATING VALUE

Kalkulasi Heating Value

Heating Value Heating Value

(MJ/m3) (Btu/scf)

0.3166296 8.47576277352

0.033016 0.8837953992

0.0281916 0.75465248292

0.00849982 0.227529131634

0.00974232 0.260789241384

0.020606022 0.5515964211114

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0.416685362 11.1541254497694

KONVERSI SATUAN

TEKANANINPUT dyn/cm2 Pa (N.M-3) lbf/ft2 Psia

dyn/cm2 1 1 0.1 0.0020886 0.000014504

Pa (N.M-3) 7000000 70000000 7000000 146202 1015.28

lbf/ft2 1 478.8 47.88 1 0.0069444

Psia 2 137894 13789.4 288 2

atm[barr] 2 2026600 202660 4232.4 29.392

torr [mmHg] 2 2666.4 266.64 5.569 0.038674

in.Hg 2 67728 6772.8 141.454 0.98232

SUHUINPUT Renkin

273 273 0 32 491.4

30 303.1 30 86 437.4

105 313.5555556 40.5555555556 105 564.4

Renkin 1 0.555555556 -272.444444444 -458.4 1

VOLUMETRIK MASSAINPUT OUTPUT kmol/hr

lb-mol/hr 1 0.00909090909 MMscf/day 1kmol/hr 1 1739 (10^6) std m^3 d

MMscf/d 1 110 lb-mol/hr(10^6) std m^3 1 0.00057504313 kmol/hr

lbm water/MMscf

VOLUM 560.8793786261596

Input Galon (Inggris) Barel (Inggris) L

Galon (Inggris) 1 1 0.160544 0.125 4.546099

2 12.457422 2 1.557178 56.63256

Barel (Inggris) 3 23.99928 3.852933 3 109.102887

L 4 0.87986 0.141256 0.109984 4

5 1099.84624 176.573335 137.48078 5000

0K oC oF0KoCoF

ft3

ft3

m3

atm[barr] torr [mmHg] in.Hg

0.00000098692 0.0075006 2.953E-05

69.0844 5250420 2067.1

0.00047254 0.35913 0.014139

0.136092 103.43 4.072

2 1520 59.842

0.0026316 2 0.07874

0.066842 50.8 2

lb-mol/hr MMcf 1 2636 lb-mol 10.4535924 kmol 1 41740 (10^6) std 1

kmol 1 2.204622 lb-mol 1

79.17295 1200964

0.004546

0.056632

0.109104

0.004

5

kg water/〖10〗^6 std m^3

m3

0.000379 MMcf2.396E-05 kmol0.453592 kmol

English UnitKomponen Mr Zc Tc Pc EMR w

16.043 0.29 343 668 14.19 0.014

142.286 0.25 1112 304 106.86 0.489

156.302 0.24 1153 282 117.17 0.501

170.378 0.24 1187 263 127.5 0.539

30.07 0.29 550 708 24.37 0.099

44.097 0.28 665 616 34.63 0.152

86.178 0.26 914 437 65.58 0.301

100.205 0.26 973 397 75.88 0.35

114.232 0.26 1024 361 86.19 0.402

128.259 0.25 1071 332 96.53 0.446

44.01 0.28 548 1071 14.44 0.225

2.016 0.3 60 188 4.23 0

34.076 0.28 673 1306 20.28 0.1

58.124 0.28 735 529 44.74 0.185

72.151 0.27 829 490 55.3 0.222

28.016 0.29 227 493 9.71 0.04

58.124 0.27 766 551 44.24 0.201

72.151 0.27 846 489 55.27 0.254

32 0.29 279 737 8.69 0.0213

Mencari z

Tr'Pr' Tr' Low Mid High

2.4481868648 1.44457676Pr'

Low 0.797976 0.796619Mid 0.822602 0.8228 0.821023

Low High High 0.823529 0.821941Pr' Pr'2.4 2.45

Tr' Tr'1.35 1.45

C1

C10

C11

C12

C2

C3

C6

C7

C8

C9

CO2

H2

H2O

H2S

i-C4

i-C5

N2

n-C4

n-C5

O2

Tr' 1 1.1 1.2 1.3 1.35 1.4 1.45 1.5

Pr' Tr'1 Tr'1.1 Tr'1.2 Tr'1.3 Tr'1.35 Tr'1.4 Tr'1.45 Tr'1.5

0 1.02 1.019 1.01 1 1.011 1.02 1.01 1.010.05 0.99907743 1.002341 0.997999 0.991344 1.003325 1.012819 1.003706 1.0039470.1 0.9787094 0.986159 0.986293 0.982876 0.995799 1.005774 0.997522 0.997988

0.15 0.95889531 0.970451 0.974879 0.974595 0.988422 0.998865 0.991449 0.9921210.2 0.9396344 0.95521 0.963757 0.966498 0.981192 0.992091 0.985486 0.986348

0.25 0.92092578 0.940432 0.952922 0.958585 0.974109 0.985452 0.979632 0.9806680.3 0.9027684 0.926112 0.942372 0.950854 0.967173 0.978945 0.973887 0.975079

0.35 0.88516106 0.912245 0.932105 0.943305 0.960382 0.972572 0.96825 0.9695830.4 0.8681024 0.898825 0.922118 0.935935 0.953736 0.96633 0.962721 0.964178

0.45 0.85159093 0.885848 0.912408 0.928743 0.947234 0.960219 0.957299 0.9588640.5 0.835625 0.873309 0.902974 0.921729 0.940875 0.954238 0.951984 0.953641

0.55 0.82020281 0.861202 0.893812 0.91489 0.934659 0.948386 0.946774 0.9485080.6 0.8053224 0.849522 0.884919 0.908226 0.928584 0.942662 0.94167 0.943465

0.65 0.79098168 0.838265 0.876295 0.901734 0.92265 0.937067 0.936671 0.9385120.7 0.7771784 0.827426 0.867934 0.895415 0.916857 0.931598 0.931776 0.933649

0.75 0.76391016 0.816998 0.859836 0.889266 0.911203 0.926255 0.926985 0.9288740.8 0.7511744 0.806978 0.851998 0.883286 0.905688 0.921037 0.922297 0.924188

0.85 0.73896843 0.79736 0.844417 0.877473 0.900311 0.915943 0.917712 0.9195910.9 0.7272894 0.78814 0.83709 0.871828 0.895071 0.910973 0.913229 0.915081

0.95 0.71613431 0.779311 0.830015 0.866347 0.889968 0.906126 0.908848 0.9106591 0.7055 0.77087 0.82319 0.86103 0.885 0.9014 0.904568 0.906324

1.05 0.69538318 0.762811 0.816611 0.855876 0.880167 0.896795 0.900388 0.9020761.1 0.6857804 0.755128 0.810277 0.850882 0.875469 0.892311 0.896309 0.897914

1.15 0.67668806 0.747818 0.804185 0.846049 0.870904 0.887946 0.892328 0.8938391.2 0.6681024 0.740875 0.798332 0.841373 0.866472 0.883699 0.888447 0.889849

1.25 0.66001953 0.734293 0.792715 0.836855 0.862172 0.87957 0.884664 0.8859451.3 0.6524354 0.728068 0.787332 0.832493 0.858003 0.875558 0.880979 0.882126

1.35 0.64534581 0.722195 0.782181 0.828286 0.853965 0.871662 0.877391 0.8783921.4 0.6387464 0.716669 0.777259 0.824231 0.850056 0.867882 0.873899 0.874742

1.45 0.63263268 0.711484 0.772563 0.820328 0.846276 0.864215 0.870504 0.8711761.5 0.627 0.706636 0.768091 0.816576 0.842625 0.860663 0.867204 0.867693

1.55 0.62184356 0.70212 0.763841 0.812973 0.839101 0.857222 0.864 0.8642941.6 0.6171584 0.69793 0.759809 0.809518 0.835704 0.853894 0.86089 0.860978

1.65 0.61293943 0.694061 0.755993 0.806209 0.832433 0.850677 0.857874 0.8577451.7 0.6091814 0.69051 0.752391 0.803046 0.829287 0.847571 0.854951 0.854593

1.75 0.60587891 0.687269 0.749 0.800026 0.826266 0.844573 0.852121 0.851524

1.8 0.6030264 0.684335 0.745817 0.797149 0.823368 0.841685 0.849383 0.8485361.85 0.60061818 0.681702 0.74284 0.794414 0.820593 0.838904 0.846737 0.8456291.9 0.5986484 0.679365 0.740067 0.791818 0.817941 0.83623 0.844182 0.842803

1.95 0.59711106 0.677319 0.737494 0.78936 0.81541 0.833662 0.841718 0.8400582 0.596 0.67556 0.73512 0.78704 0.813 0.8312 0.839344 0.837392

2.05 0.59530893 0.674082 0.732941 0.784856 0.81071 0.828842 0.837059 0.8348062.1 0.5950314 0.672879 0.730956 0.782806 0.808539 0.826588 0.834864 0.8323

2.15 0.59516081 0.671948 0.729161 0.78089 0.806487 0.824437 0.832757 0.8298722.2 0.5956904 0.671283 0.727554 0.779105 0.804552 0.822387 0.830738 0.827524

2.25 0.59661328 0.670879 0.726133 0.777451 0.802734 0.820439 0.828806 0.8252532.3 0.5979224 0.67073 0.724895 0.775926 0.801033 0.818591 0.826961 0.823061

2.35 0.59961056 0.670832 0.723836 0.77453 0.799447 0.816843 0.825202 0.8209462.4 0.6016704 0.67118 0.722956 0.77326 0.797976 0.815194 0.823529 0.818908

2.45 0.60409443 0.671769 0.722251 0.772115 0.796619 0.813642 0.821941 0.8169472.5 0.606875 0.672594 0.721719 0.771094 0.795375 0.812188 0.820438 0.815063

2.55 0.61000431 0.673649 0.721357 0.770195 0.794244 0.810829 0.819018 0.8132542.6 0.6134744 0.67493 0.721162 0.769418 0.793224 0.809566 0.817682 0.811522

2.65 0.61727718 0.676431 0.721132 0.768761 0.792315 0.808398 0.81643 0.8098652.7 0.6214044 0.678147 0.721265 0.768223 0.791517 0.807324 0.815259 0.808283

2.75 0.62584766 0.680075 0.721558 0.767802 0.790828 0.806342 0.81417 0.8067762.8 0.6305984 0.682207 0.722008 0.767497 0.790248 0.805453 0.813163 0.805343

2.85 0.63564793 0.68454 0.722612 0.767307 0.789776 0.804655 0.812237 0.8039842.9 0.6409874 0.687068 0.72337 0.767229 0.789411 0.803947 0.81139 0.802699

2.95 0.64660781 0.689786 0.724276 0.767264 0.789153 0.803329 0.810624 0.8014873 0.6525 0.69269 0.72533 0.76741 0.789 0.8028 0.809936 0.800348

3.05 0.65865468 0.695774 0.726528 0.767665 0.788952 0.802359 0.809327 0.7992823.1 0.6650624 0.699033 0.727869 0.768028 0.789009 0.802005 0.808796 0.798287

3.15 0.67171356 0.702461 0.729348 0.768498 0.789169 0.801737 0.808342 0.7973653.2 0.6785984 0.706055 0.730965 0.769073 0.789432 0.801555 0.807966 0.796514

3.25 0.68570703 0.709809 0.732716 0.769752 0.789797 0.801458 0.807666 0.7957353.3 0.6930294 0.713718 0.734599 0.770534 0.790263 0.801444 0.807441 0.795026

3.35 0.70055531 0.717777 0.736611 0.771417 0.79083 0.801514 0.807292 0.7943883.4 0.7082744 0.72198 0.738749 0.7724 0.791496 0.801666 0.807217 0.793819

3.45 0.71617618 0.726323 0.741012 0.773482 0.792261 0.801899 0.807217 0.7933213.5 0.72425 0.730801 0.743396 0.774661 0.793125 0.802213 0.807291 0.792892

3.55 0.73248506 0.735409 0.745899 0.775937 0.794086 0.802606 0.807437 0.7925313.6 0.7408704 0.740141 0.748519 0.777307 0.795144 0.803078 0.807656 0.79224

3.65 0.74939493 0.744993 0.751253 0.77877 0.796298 0.803629 0.807947 0.7920163.7 0.7580474 0.749959 0.754097 0.780326 0.797547 0.804257 0.808309 0.791861

3.75 0.76681641 0.755035 0.757051 0.781973 0.798891 0.804961 0.808742 0.7917733.8 0.7756904 0.760215 0.76011 0.783709 0.800328 0.805741 0.809246 0.791753

3.85 0.78465768 0.765495 0.763274 0.785533 0.801858 0.806595 0.809819 0.7917993.9 0.7937064 0.770869 0.766538 0.787443 0.803481 0.807524 0.810461 0.791912

3.95 0.80282456 0.776332 0.769901 0.78944 0.805195 0.808526 0.811173 0.7920914 0.812 0.78188 0.77336 0.79152 0.807 0.8096 0.811952 0.792336

4.05 0.82122043 0.787507 0.776912 0.793683 0.808895 0.810746 0.812799 0.7926464.1 0.8304734 0.793208 0.780555 0.795928 0.810879 0.811962 0.813713 0.793022

4.15 0.83974631 0.798978 0.784287 0.798253 0.812952 0.813248 0.814693 0.7934624.2 0.8490264 0.804812 0.788104 0.800656 0.815112 0.814603 0.81574 0.793966

4.25 0.85830078 0.810705 0.792004 0.803137 0.817359 0.816027 0.816851 0.7945354.3 0.8675564 0.816652 0.795985 0.805695 0.819693 0.817517 0.818028 0.795167

4.35 0.87678006 0.822648 0.800044 0.808327 0.822112 0.819075 0.819269 0.7958624.4 0.8859584 0.828688 0.804179 0.811032 0.824616 0.820698 0.820573 0.79662

4.45 0.89507793 0.834766 0.808386 0.81381 0.827204 0.822386 0.821941 0.7974414.5 0.904125 0.840879 0.812664 0.816659 0.829875 0.824137 0.823371 0.798324

4.55 0.91308581 0.84702 0.817009 0.819577 0.832629 0.825953 0.824864 0.799274.6 0.9219464 0.853185 0.82142 0.822563 0.835464 0.82783 0.826418 0.800276

4.65 0.93069268 0.859368 0.825894 0.825617 0.83838 0.82977 0.828033 0.8013444.7 0.9393104 0.865565 0.830428 0.828735 0.841377 0.83177 0.829709 0.802472

4.75 0.94778516 0.871771 0.835019 0.831918 0.844453 0.83383 0.831444 0.8036614.8 0.9561024 0.87798 0.839665 0.835164 0.847608 0.835949 0.833239 0.80491

4.85 0.96424743 0.884187 0.844364 0.838472 0.850841 0.838126 0.835092 0.8062194.9 0.9722054 0.890388 0.849113 0.841839 0.854151 0.840361 0.837004 0.807587

4.95 0.97996131 0.896577 0.853909 0.845266 0.857538 0.842653 0.838973 0.8090145 0.9875 0.90275 0.85875 0.84875 0.861 0.845 0.841 0.8105

5.05 0.99480618 0.908901 0.863633 0.85229 0.864537 0.847402 0.843083 0.8120445.1 1.0018644 0.915025 0.868556 0.855886 0.868149 0.849859 0.845222 0.813646

5.15 1.00865906 0.921117 0.873516 0.859535 0.871834 0.852369 0.847417 0.8153065.2 1.0151744 0.927172 0.878511 0.863236 0.875592 0.854931 0.849667 0.817023

5.25 1.02139453 0.933185 0.883537 0.866988 0.879422 0.857545 0.851971 0.8187965.3 1.0273034 0.939152 0.888593 0.87079 0.883323 0.86021 0.854329 0.820627

5.35 1.03288481 0.945066 0.893676 0.87464 0.887295 0.862925 0.85674 0.8225135.4 1.0381224 0.950923 0.898784 0.878537 0.891336 0.86569 0.859204 0.824455

5.45 1.04299968 0.956718 0.903913 0.882479 0.895446 0.868502 0.861721 0.8264535.5 1.0475 0.962446 0.909061 0.886466 0.899625 0.871362 0.864288 0.828505

5.55 1.05160656 0.968102 0.914226 0.890496 0.903871 0.874269 0.866908 0.8306135.6 1.0553024 0.97368 0.919405 0.894568 0.908184 0.877222 0.869577 0.832775

5.65 1.05857043 0.979176 0.924596 0.89868 0.912563 0.88022 0.872297 0.8349915.7 1.0613934 0.984585 0.929796 0.90283 0.917007 0.883263 0.875066 0.83726

5.75 1.06375391 0.989901 0.935002 0.907019 0.921516 0.886348 0.877884 0.8395835.8 1.0656344 0.99512 0.940212 0.911244 0.926088 0.889477 0.88075 0.841959

5.85 1.06701718 1.000237 0.945423 0.915504 0.930723 0.892647 0.883664 0.8443875.9 1.0678844 1.005245 0.950634 0.919797 0.935421 0.895858 0.886626 0.846868

5.95 1.06821806 1.010141 0.95584 0.924123 0.94018 0.899109 0.889634 0.84946 1.068 1.01492 0.96104 0.92848 0.945 0.9024 0.892688 0.851984

6.05 1.06721193 1.019576 0.966231 0.932867 0.94988 0.905729 0.895788 0.8546196.1 1.0658354 1.024104 0.971411 0.937282 0.954819 0.909096 0.898933 0.857305

6.15 1.06385181 1.028499 0.976576 0.941724 0.959817 0.9125 0.902122 0.8600416.2 1.0612424 1.032757 0.981726 0.946191 0.964872 0.915939 0.905356 0.862828

6.25 1.05798828 1.036871 0.986855 0.950684 0.969984 0.919414 0.908633 0.865664

6.3 1.0540704 1.040838 0.991964 0.955199 0.975153 0.922923 0.911953 0.868556.35 1.04946956 1.044651 0.997048 0.959736 0.980377 0.926466 0.915315 0.8714846.4 1.0441664 1.048307 1.002105 0.964293 0.985656 0.930042 0.918719 0.874467

6.45 1.03814143 1.051799 1.007133 0.96887 0.990989 0.933649 0.922164 0.8774996.5 1.031375 1.055124 1.012129 0.973464 0.996375 0.937287 0.925649 0.880578

6.55 1.02384731 1.058275 1.01709 0.978074 1.001814 0.940956 0.929175 0.8837066.6 1.0155384 1.061248 1.022015 0.9827 1.007304 0.944654 0.932741 0.88688

6.65 1.00642818 1.064038 1.026899 0.98734 1.012845 0.948381 0.936345 0.8901016.7 0.9964964 1.066639 1.031742 0.991991 1.018437 0.952136 0.939988 0.893369

6.75 0.98572266 1.069047 1.03654 0.996655 1.024078 0.955917 0.943669 0.8966836.8 0.9740864 1.071257 1.041291 1.001327 1.029768 0.959725 0.947388 0.900042

6.85 0.96156693 1.073263 1.045992 1.006009 1.035506 0.963558 0.951143 0.9034476.9 0.9481434 1.07506 1.05064 1.010697 1.041291 0.967415 0.954934 0.906898

6.95 0.93379481 1.076645 1.055234 1.015391 1.047123 0.971296 0.958762 0.9103937 0.9185 1.07801 1.05977 1.02009 1.053 0.9752 0.962624 0.913932

7.05 0.90223768 1.079152 1.064246 1.024792 1.058922 0.979126 0.966521 0.9175157.1 0.8849864 1.080065 1.068659 1.029496 1.064889 0.983073 0.970452 0.921142

7.15 0.86672456 1.080744 1.073008 1.0342 1.070899 0.98704 0.974417 0.9248137.2 0.8474304 1.081185 1.077288 1.038903 1.076952 0.991027 0.978414 0.928526

7.25 0.82708203 1.081382 1.081499 1.043604 1.083047 0.995033 0.982445 0.9322827.3 0.8056574 1.08133 1.085636 1.048302 1.089183 0.999056 0.986507 0.93608

7.35 0.78313431 1.081024 1.089698 1.052995 1.09536 1.003097 0.9906 0.939927.4 0.7594904 1.080458 1.093682 1.057682 1.101576 1.007154 0.994724 0.943801

7.45 0.73470318 1.079629 1.097586 1.062361 1.107831 1.011226 0.998878 0.9477247.5 0.70875 1.078531 1.101406 1.067031 1.114125 1.015312 1.003062 0.951687

7.55 0.68160806 1.077159 1.105141 1.071692 1.120456 1.019413 1.007276 0.9556917.6 0.6532544 1.075508 1.108788 1.07634 1.126824 1.023526 1.011518 0.959735

7.65 0.62366593 1.073572 1.112344 1.080977 1.133228 1.027652 1.015787 0.9638197.7 0.5928194 1.071347 1.115806 1.085599 1.139667 1.031789 1.020085 0.967942

7.75 0.56069141 1.068828 1.119173 1.090205 1.146141 1.035936 1.024409 0.9721047.8 0.5272584 1.066009 1.122442 1.094795 1.152648 1.040093 1.02876 0.976305

7.85 0.49249668 1.062886 1.125609 1.099367 1.159188 1.044258 1.033137 0.9805447.9 0.4563824 1.059454 1.128673 1.103919 1.165761 1.048432 1.037538 0.984821

7.95 0.41889156 1.055707 1.131631 1.108451 1.172365 1.052613 1.041965 0.9891368 0.38 1.05164 1.13448 1.11296 1.179 1.0568 1.046416 0.993488

1.55 1.6 Tr terdekatTr'1.55 Tr'1.6 Tr diff. delta delta Tr terdekat cek delta

1 0.9986 1 0.4446 0.4446 0.0054 1.45 -0.00542

0.995234 0.99417 1.1 0.3446 0.3446

0.990547 0.989817 1.2 0.2446 0.2446

0.985937 0.985542 1.3 0.1446 0.1446

0.981405 0.981343 1.35 0.0946 0.0946

0.976951 0.97722 1.4 0.0446 0.0446

0.972573 0.973174 1.45 -0.0054 0.0054

0.968273 0.969203 1.5 -0.0554 0.0554

0.964049 0.965308 1.55 -0.1054 0.1054

0.959901 0.961488 1.6 -0.1554 0.1554

0.955829 0.9577420.951833 0.9540710.947913 0.9504740.944068 0.946950.940297 0.94350.936602 0.9401220.932981 0.9368170.929433 0.9335850.92596 0.9304240.92256 0.927335

0.919234 0.9243170.915981 0.92137

0.9128 0.9184930.909692 0.9156870.906656 0.9129510.903691 0.9102830.900799 0.9076850.897978 0.9051560.895228 0.9026950.892548 0.9003030.88994 0.897978

0.887401 0.895720.884933 0.893530.882534 0.8914060.880205 0.8893480.877945 0.887357

0.875753 0.8854310.873631 0.883570.871577 0.8817750.86959 0.880044

0.867672 0.8783770.865821 0.8767740.864037 0.8752350.862321 0.8737590.860671 0.8723450.859087 0.8709950.85757 0.869706

0.856118 0.868480.854732 0.8673140.853412 0.866210.852156 0.8651670.850965 0.8641840.849839 0.8632620.848777 0.8623990.847779 0.8615950.846845 0.8608510.845974 0.8601650.845166 0.8595370.844421 0.8589680.843738 0.8584560.843118 0.8580020.84256 0.857604

0.842063 0.8572630.841629 0.8569790.841255 0.856750.840942 0.8565770.84069 0.856459

0.840498 0.8563960.840367 0.8563880.840295 0.8564340.840283 0.8565330.84033 0.856686

0.840436 0.8568930.840601 0.8571520.840824 0.8574630.841105 0.8578270.841445 0.8582420.841842 0.8587090.842296 0.8592270.842808 0.8597950.843376 0.860414

0.844001 0.8610830.844682 0.8618020.845419 0.862570.846212 0.8633870.84706 0.864253

0.847963 0.8651670.848922 0.8661280.849935 0.8671380.851002 0.8681950.852123 0.8692980.853298 0.8704480.854527 0.8716450.855809 0.8728870.857144 0.8741750.858531 0.8755080.859971 0.8768850.861463 0.8783080.863007 0.8797740.864603 0.8812840.86625 0.882837

0.867948 0.8844340.869697 0.8860730.871496 0.8877550.873345 0.8894790.875245 0.8912440.877194 0.8930510.879193 0.8948990.88124 0.896788

0.883337 0.8987160.885482 0.9006850.887675 0.9026930.889917 0.9047410.892206 0.9068270.894542 0.9089530.896926 0.9111160.899357 0.9133170.901834 0.9155560.904358 0.9178320.906928 0.9201440.909544 0.9224940.912205 0.9248790.914912 0.92730.917664 0.9297570.92046 0.932248

0.923301 0.934775

0.926186 0.9373360.929115 0.9399310.932087 0.9425590.935103 0.9452210.938162 0.9479160.941264 0.9506440.944408 0.9534040.947595 0.9561960.950824 0.9590190.954094 0.9618740.957406 0.964760.960759 0.9676760.964153 0.9706230.967587 0.9735990.971062 0.9766050.974577 0.9796410.978132 0.9827050.981726 0.9857970.985359 0.9889180.989032 0.9920660.992743 0.9952420.996492 0.9984461.00028 1.001675

1.004106 1.0049321.007969 1.0082141.011869 1.0115221.015807 1.0148561.019781 1.0182141.023792 1.0215971.027839 1.0250051.031922 1.0284361.036041 1.0318911.040195 1.035371.044384 1.0388711.048608 1.042395

Pr terdekatPr diff. delta delta Pr terdekat cek delta

0 2.448187 2.448187 0.001813 2.45 -0.0018130.05 2.398187 2.3981870.1 2.348187 2.348187

0.15 2.298187 2.2981870.2 2.248187 2.248187

0.25 2.198187 2.1981870.3 2.148187 2.148187

0.35 2.098187 2.0981870.4 2.048187 2.048187

0.45 1.998187 1.9981870.5 1.948187 1.948187

0.55 1.898187 1.8981870.6 1.848187 1.848187

0.65 1.798187 1.7981870.7 1.748187 1.748187

0.75 1.698187 1.6981870.8 1.648187 1.648187

0.85 1.598187 1.5981870.9 1.548187 1.548187

0.95 1.498187 1.4981871 1.448187 1.448187

1.05 1.398187 1.3981871.1 1.348187 1.348187

1.15 1.298187 1.2981871.2 1.248187 1.248187

1.25 1.198187 1.1981871.3 1.148187 1.148187

1.35 1.098187 1.0981871.4 1.048187 1.048187

1.45 0.998187 0.9981871.5 0.948187 0.948187

1.55 0.898187 0.8981871.6 0.848187 0.848187

1.65 0.798187 0.7981871.7 0.748187 0.748187

1.75 0.698187 0.698187

1.8 0.648187 0.6481871.85 0.598187 0.5981871.9 0.548187 0.548187

1.95 0.498187 0.4981872 0.448187 0.448187

2.05 0.398187 0.3981872.1 0.348187 0.348187

2.15 0.298187 0.2981872.2 0.248187 0.248187

2.25 0.198187 0.1981872.3 0.148187 0.148187

2.35 0.098187 0.0981872.4 0.048187 0.048187

2.45 -0.001813 0.0018132.5 -0.051813 0.051813

2.55 -0.101813 0.1018132.6 -0.151813 0.151813

2.65 -0.201813 0.2018132.7 -0.251813 0.251813

2.75 -0.301813 0.3018132.8 -0.351813 0.351813

2.85 -0.401813 0.4018132.9 -0.451813 0.451813

2.95 -0.501813 0.5018133 -0.551813 0.551813

3.05 -0.601813 0.6018133.1 -0.651813 0.651813

3.15 -0.701813 0.7018133.2 -0.751813 0.751813

3.25 -0.801813 0.8018133.3 -0.851813 0.851813

3.35 -0.901813 0.9018133.4 -0.951813 0.951813

3.45 -1.001813 1.0018133.5 -1.051813 1.051813

3.55 -1.101813 1.1018133.6 -1.151813 1.151813

3.65 -1.201813 1.2018133.7 -1.251813 1.251813

3.75 -1.301813 1.3018133.8 -1.351813 1.351813

3.85 -1.401813 1.4018133.9 -1.451813 1.451813

3.95 -1.501813 1.5018134 -1.551813 1.551813

4.05 -1.601813 1.6018134.1 -1.651813 1.651813

4.15 -1.701813 1.7018134.2 -1.751813 1.751813

4.25 -1.801813 1.8018134.3 -1.851813 1.851813

4.35 -1.901813 1.9018134.4 -1.951813 1.951813

4.45 -2.001813 2.0018134.5 -2.051813 2.051813

4.55 -2.101813 2.1018134.6 -2.151813 2.151813

4.65 -2.201813 2.2018134.7 -2.251813 2.251813

4.75 -2.301813 2.3018134.8 -2.351813 2.351813

4.85 -2.401813 2.4018134.9 -2.451813 2.451813

4.95 -2.501813 2.5018135 -2.551813 2.551813

5.05 -2.601813 2.6018135.1 -2.651813 2.651813

5.15 -2.701813 2.7018135.2 -2.751813 2.751813

5.25 -2.801813 2.8018135.3 -2.851813 2.851813

5.35 -2.901813 2.9018135.4 -2.951813 2.951813

5.45 -3.001813 3.0018135.5 -3.051813 3.051813

5.55 -3.101813 3.1018135.6 -3.151813 3.151813

5.65 -3.201813 3.2018135.7 -3.251813 3.251813

5.75 -3.301813 3.3018135.8 -3.351813 3.351813

5.85 -3.401813 3.4018135.9 -3.451813 3.451813

5.95 -3.501813 3.5018136 -3.551813 3.551813

6.05 -3.601813 3.6018136.1 -3.651813 3.651813

6.15 -3.701813 3.7018136.2 -3.751813 3.751813

6.25 -3.801813 3.801813

6.3 -3.851813 3.8518136.35 -3.901813 3.9018136.4 -3.951813 3.951813

6.45 -4.001813 4.0018136.5 -4.051813 4.051813

6.55 -4.101813 4.1018136.6 -4.151813 4.151813

6.65 -4.201813 4.2018136.7 -4.251813 4.251813

6.75 -4.301813 4.3018136.8 -4.351813 4.351813

6.85 -4.401813 4.4018136.9 -4.451813 4.451813

6.95 -4.501813 4.5018137 -4.551813 4.551813

7.05 -4.601813 4.6018137.1 -4.651813 4.651813

7.15 -4.701813 4.7018137.2 -4.751813 4.751813

7.25 -4.801813 4.8018137.3 -4.851813 4.851813

7.35 -4.901813 4.9018137.4 -4.951813 4.951813

7.45 -5.001813 5.0018137.5 -5.051813 5.051813

7.55 -5.101813 5.1018137.6 -5.151813 5.151813

7.65 -5.201813 5.2018137.7 -5.251813 5.251813

7.75 -5.301813 5.3018137.8 -5.351813 5.351813

7.85 -5.401813 5.4018137.9 -5.451813 5.451813

7.95 -5.501813 5.5018138 -5.551813 5.551813

Grafik. Compressibility Factor for Natural Gas

Tr=1.05 Tr=1.1 Tr=1.15 Tr=1.2 Tr=1.25Pr z Pr z Pr z Pr z Pr z

0 1 0 1 0 1 0 1 0 10.5 0.83 0.5 0.85 0.5 0.87 0.5 0.89 0.5 0.903

1 0.6 1 0.67 1 0.73 1 0.78 1 0.811.4 0.28 1.5 0.43 1.1 0.7 1.5 0.66 1.5 0.711.5 0.25 1.8 0.369 1.5 0.57 2 0.56 2 0.6251.8 0.24 2 0.37 2 0.47 2.3 0.51 2.5 0.58

2 0.28 2.5 0.39 2.3 0.445 2.5 0.52 3 0.582.5 0.34 3 0.44 2.5 0.45 3 0.535 3.5 0.6

3 0.408 3.5 0.5 3 0.49 3.5 0.565 4 0.633.5 0.46 4 0.56 3.5 0.535 4 0.61 4.5 0.67

4 0.52 4.5 0.615 4 0.58 4.5 0.65 5 0.71

0 1 2 3 4 5 6 7 8

0.24

0.34

0.44

0.54

0.64

0.74

0.84

0.94

1.04Tr=1.05Power (Tr=1.05)Logarithmic (Tr=1.05)Power (Tr=1.05)Logarithmic (Tr=1.05)Polynomial (Tr=1.05)Tr=1.1Polynomial (Tr=1.1)Tr=1.15Polynomial (Tr=1.15)Tr=1.2Polynomial (Tr=1.2)Tr=1.25Polynomial (Tr=1.25)Tr=1.3Polynomial (Tr=1.3)Tr=1.35Polynomial (Tr=1.35)Tr=1.4Polynomial (Tr=1.4)Tr=1.45Polynomial (Tr=1.45)Tr=1.5Polynomial (Tr=1.5)Tr=1.6Tr=1.7Pr

Z

4.5 0.6 5 0.67 4.5 0.63 5 0.69 5.5 0.755 0.66 5.5 0.73 5 0.69 5.5 0.74 6 0.78

5.5 0.73 6 0.78 5.5 0.74 6 0.78 6.5 0.836 0.79 6.5 0.83 6 0.78 6.5 0.83 7 0.88

6.5 0.84 7 0.9 6.5 0.84 7 0.88 7.5 0.957 0.89 7.5 0.94 7 0.89 7.5 0.93 8 1.01

7.5 0.94 8 1 7.5 0.93 8 0.978 1.05 8 1.02

Tr Persamaan Grafik1.051.1

1.151.2

1.251.3

1.351.4

1.451.51.61.71.81.92

2.22.42.62.83

Tr=1.3 Tr=1.35 Tr=1.4 Tr=1.45 Tr=1.5Pr z Pr z Pr z Pr z Pr z

0 1 0 1 0 1 0 1 0 10.5 0.915 0.5 0.93 0.5 0.935 0.5 0.942 0.5 0.95

1 0.848 1 0.855 1 0.875 1 0.89 1 0.91.5 0.76 1.5 0.79 1.5 0.815 1.5 0.84 1.5 0.86

2 0.68 2 0.73 2 0.765 2 0.8 2 0.8232.5 0.64 2.5 0.69 2.5 0.728 2.5 0.765 2.5 0.798

3 0.621 3 0.67 3 0.705 3 0.745 3 0.7783.5 0.636 3.5 0.67 3.5 0.702 3.5 0.74 3.5 0.77

4 0.653 4 0.69 4 0.712 4 0.755 4 0.7784.5 0.688 4.5 0.71 4.5 0.731 4.5 0.76 4.5 0.79

5 0.72 5 0.74 5 0.76 5 0.788 5 0.81

y = -0.0003x6 + 0.0079x5 - 0.072x4 + 0.2792x3 - 0.3147x2 - 0.4127x + 1.0293

y = -0.0003x6 + 0.0071x5 - 0.0671x4 + 0.2778x3 - 0.4016x2 - 0.1917x + 1.0078

y = -0.0002x6 + 0.0043x5 - 0.0436x4 + 0.1961x3 - 0.3186x2 - 0.1192x + 0.9988

y = -0.0001x6 + 0.0037x5 - 0.0372x4 + 0.1696x3 - 0.2905x2 - 0.0714x + 0.9954

y = -8E-05x6 + 0.0022x5 - 0.0234x4 + 0.1114x3 - 0.1936x2 - 0.0887x + 0.9958

y = -5E-05x6 + 0.0015x5 - 0.0158x4 + 0.0787x3 - 0.1447x2 - 0.0762x + 0.9953

y = -2E-06x6 + 0.0002x5 - 0.0042x4 + 0.028x3 - 0.0487x2 - 0.119x + 0.9996

y = 8E-06x6 - 0.0001x5 - 0.0005x4 + 0.0104x3 - 0.0178x2 - 0.118x + 0.9993

y = 1E-05x6 - 0.0002x5 + 0.0006x4 + 0.004x3 - 0.0046x2 - 0.11x + 0.9994

y = -5E-06x6 + 0.0001x5 - 0.0017x4 + 0.0105x3 - 0.0123x2 - 0.0943x + 0.9995

y = 6E-06x6 - 0.0001x5 + 0.001x4 - 0.0019x3 + 0.0089x2 - 0.0854x + 1.0002

y = -8E-06x6 + 0.0002x5 - 0.0013x4 + 0.0059x3 - 0.0051x2 - 0.0595x + 1.0001

y = 6E-06x6 - 0.0002x5 + 0.0011x4 - 0.003x3 + 0.008x2 - 0.053x + 0.9993

y = 4E-05x6 - 0.001x5 + 0.0087x4 - 0.0347x3 + 0.0667x2 - 0.0806x + 1.0005

y = -5E-07x6 - 1E-05x5 + 0.0003x4 - 0.0021x3 + 0.0107x2 - 0.0407x + 0.9991

y = 2E-05x6 - 0.0005x5 + 0.0048x4 - 0.0207x3 + 0.045x2 - 0.0544x + 0.9994

y = 2E-06x6 - 5E-05x5 + 0.0007x4 - 0.0045x3 + 0.0178x2 - 0.0332x + 0.9988

y = 2E-06x6 - 0.0001x5 + 0.0018x4 - 0.0106x3 + 0.0258x2 - 0.0186x + 1.0006

y = 8E-08x6 - 3E-05x5 + 0.0005x4 - 0.0023x3 + 0.0059x2 - 0.0032x + 1.0004

y = -2E-05x6 + 0.0005x5 - 0.0039x4 + 0.0136x3 - 0.0217x2 + 0.0188x + 0.9996

0 1 2 3 4 5 6 7 8

0.24

0.34

0.44

0.54

0.64

0.74

0.84

0.94

1.04Tr=1.05Power (Tr=1.05)Logarithmic (Tr=1.05)Power (Tr=1.05)Logarithmic (Tr=1.05)Polynomial (Tr=1.05)Tr=1.1Polynomial (Tr=1.1)Tr=1.15Polynomial (Tr=1.15)Tr=1.2Polynomial (Tr=1.2)Tr=1.25Polynomial (Tr=1.25)Tr=1.3Polynomial (Tr=1.3)Tr=1.35Polynomial (Tr=1.35)Tr=1.4Polynomial (Tr=1.4)Tr=1.45Polynomial (Tr=1.45)Tr=1.5Polynomial (Tr=1.5)Tr=1.6Tr=1.7Pr

Z

5.5 0.76 5.5 0.76 5.5 0.79 5.5 0.818 5.5 0.8356 0.8 6 0.813 6 0.84 6 0.845 6 0.86

6.5 0.84 6.5 0.85 6.5 0.87 6.5 0.88 6.5 0.897 0.89 7 0.88 7 0.9 7 0.91 7 0.925

7.5 0.94 7.5 0.92 7.5 0.94 7.5 0.94 7.5 0.9538 0.97 8 0.98 8 0.97 8 0.98 8 0.97

Persamaan Grafik

Tr=1.6 Tr=1.7 Tr=1.8 Tr=1.9 Tr=2Pr z Pr z Pr z Pr z Pr z

0 1 0 1 0 1 0 1 0 10.5 0.96 0.5 0.97 0.5 0.973 0.5 0.974 0.5 0.978

1 0.923 1 0.94 1 0.952 1 0.96 1 0.971.5 0.89 1.5 0.914 1.5 0.933 1.5 0.948 1.5 0.957

2 0.86 2 0.89 2 0.918 2 0.941 2 0.9492.5 0.84 2.5 0.878 2.5 0.903 2.5 0.925 2.5 0.94

3 0.828 3 0.863 3 0.888 3 0.92 3 0.943.5 0.817 3.5 0.858 3.5 0.89 3.5 0.912 3.5 0.94

4 0.816 4 0.852 4 0.89 4 0.918 4 0.944.5 0.829 4.5 0.863 4.5 0.9 4.5 0.922 4.5 0.95

5 0.847 5 0.878 5 0.91 5 0.931 5 0.9515

+ 0.2792x3 - 0.3147x2 - 0.4127x + 1.0293

+ 0.2778x3 - 0.4016x2 - 0.1917x + 1.0078

+ 0.1961x3 - 0.3186x2 - 0.1192x + 0.9988

+ 0.1696x3 - 0.2905x2 - 0.0714x + 0.9954

+ 0.1114x3 - 0.1936x2 - 0.0887x + 0.9958

+ 0.0787x3 - 0.1447x2 - 0.0762x + 0.9953

+ 0.028x3 - 0.0487x2 - 0.119x + 0.9996

+ 0.0104x3 - 0.0178x2 - 0.118x + 0.9993

+ 0.004x3 - 0.0046x2 - 0.11x + 0.9994

+ 0.0105x3 - 0.0123x2 - 0.0943x + 0.9995

- 0.0019x3 + 0.0089x2 - 0.0854x + 1.0002

+ 0.0059x3 - 0.0051x2 - 0.0595x + 1.0001

- 0.003x3 + 0.008x2 - 0.053x + 0.9993

- 0.0347x3 + 0.0667x2 - 0.0806x + 1.0005

- 0.0021x3 + 0.0107x2 - 0.0407x + 0.9991

- 0.0207x3 + 0.045x2 - 0.0544x + 0.9994

- 0.0045x3 + 0.0178x2 - 0.0332x + 0.9988

- 0.0106x3 + 0.0258x2 - 0.0186x + 1.0006

- 0.0023x3 + 0.0059x2 - 0.0032x + 1.0004

+ 0.0136x3 - 0.0217x2 + 0.0188x + 0.9996

5.5 0.86 5.5 0.89 5.5 0.928 5.5 0.95 5.5 0.976 0.89 6 0.917 6 0.946 6 0.967 6 0.983

6.5 0.92 6.5 0.94 6.5 0.96 6.5 0.987 6.5 17 0.95 7 0.97 7 0.99 7 1.001 7 1.02

7.5 0.97 7.5 0.998 7.5 1.01 7.5 1.01 7.5 1.048 1 8 1.01 8 1.03 8 1.05 8 1.055

Tr=2.2 Tr=2.4 Tr=2.6 Tr=2.8 Tr=3Pr z Pr z Pr z Pr z Pr z

0 1 0 1 0 1 0 1 0 10.5 0.98 0.5 0.983 0.5 0.998 0.5 1.001 0.5 1.004

1 0.973 1 0.981 1 0.999 1 1.001 1 1.0071.5 0.971 1.5 0.976 1.5 1.001 1.5 1.002 1.5 1.01

2 0.97 2 0.98 2 1.009 2 1.005 2 1.0122.5 0.963 2.5 0.98 2.5 1.011 2.5 1.01 2.5 1.014

3 0.96 3 0.98 3 1.013 3 1.01 3 1.0163.5 0.961 3.5 0.982 3.5 1.016 3.5 1.017 3.5 1.02

4 0.968 4 0.99 4 1.015 4 1.02 4 1.0234.5 0.976 4.5 1 4.5 1.017 4.5 1.03 4.5 1.026

5 0.983 5 1.01 5 1.029 5 1.04 5 1.03

5.5 1 5.5 1.021 5.5 1.038 5.5 1.05 5.5 1.0346 1.012 6 1.023 6 1.05 6 1.06 6 1.04

6.5 1.03 6.5 1.035 6.5 1.07 6.5 1.08 6.5 1.0757 1.04 7 1.06 7 1.08 7 1.09 7 1.087

7.5 1.06 7.5 1.075 7.5 1.097 7.5 1.095 7.5 1.0988 1.075 8 1.09 8 1.1 8 1.1 8 1.1

Figure 3.6

TR Pr z Persamaan1 0 1 1.02

0.5 0.8356250.625 0.798084717

0.9 0.72728941 0.7055

1.5 0.6271.75 0.605878906

2 0.5962.75 0.6258476563.23 0.682837364

4 0.8126 1.068

TR Pr z Persamaan1.1 0 1 1.019

0.25 0.9404323440.5 0.873308751 0.77087

1.25 0.7342929691.75 0.687268906

2 0.675562.5 0.672593753 0.69269

3.5 0.730801254 0.78188

5.25 0.9331854696 1.01492


0.5 0.902973751 0.82319

1.25 0.7927148442 0.73512

2.5 0.721718752.75 0.721557656

4 0.773366.5833 1.020374158

TR Pr z Persamaan1.3 0 1 1

0 1 2 3 4 5 6 70.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

1.25 0.8368554691.5 0.81657625

1.75 0.8000264062.75 0.7678020313.5 0.774661254 0.79152

5.25 0.8669879697.3125 1.049475632


0.5 0.9408751 0.885

1.75 0.8262656252.75 0.790828125

3 0.7893.25 0.789796875

4 0.8074.5 0.829875

7.625 1.130021484


0.5 0.95423751 0.90142 0.8312

2.5 0.81218753 0.8028

3.75 0.8049609384.5 0.82413757.8 1.0400928


0.5 0.95198351.75 0.8521206882.5 0.8204375

3.25 0.8076655634.25 0.816851313

8 1.046416


0.5 0.95364050.75 0.928874188

2 0.8373923 0.800348

3.25 0.7957348133.75 0.7917734384.75 0.8036611887.25 0.932281813

TR Pr z Persamaan1.55 0 1 1

0.25 0.9769505311 0.919234

1.75 0.8779447192.5 0.852156253.5 0.840282754.5 0.85212325

5.25 0.8752449067.75 1.027838969


0.25 0.9772202671 0.9243171

1.5 0.8979777132 0.8783768

3.25 0.8565770113.75 0.8578267585.5 0.900685013

7.75 1.025004783

0 1 2 3 4 5 6 70.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

1.05

1.1

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

Column E

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