Korelasi NRTL Dan UNIQUAC Parameter Gabungan

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    1. Menghitung nilai ia dan ib0.2 Trial :

    R 1.987 cal/mol.K A12 A21 A13 A31

    T 313.15K 1242.07 -2856.75 2778.45 -323.41

    0 0 0 0

    Menghi!ng "i#$ "#i$ %i#$ &an %#i

    'om( "i# "#i %i# %#i "ii 0

    1 &an 2 1.996164 -4.591153 0.670834 2.504854 %ii 1

    1 &an 3 4.46531 -0.519758 0.4094 1.109547

    2 &an 3 -2.482641 3.635207 1.643007 0.483337

    'om( 1 )aer

    'om( 2 er-*!anol

    'om( 3 +M,

    am(el

    1 0.04809 0.051 0.90091 0.49948 0.12018 0.38034 3.370023

    2 0.06068 0.05843 0.88089 0.19789 0.10679 0.69532 3.226953

    3 0.03526 0.0422 0.92254 0.61679 0.0955 0.28771 3.542764

    4 0.03764 0.03709 0.92527 0.64611 0.08455 0.26934 3.62269

    5 0.02904 0.00903 0.96193 0.78434 0.04065 0.17501 4.160382

    6 0.04102 0.02289 0.93609 0.70935 0.06479 0.22586 3.86318

    7 0.0136 0 0.9864 0.82417 0 0.17583 4.39193

    4-1$2-0$5 0.008093 0.249173 0.742735 0.751719 0.208943 0.039338 1.403009

    am(el 1 2 3

    1 0.071647 5.41-005 0.000815 29.07919 2.180749 1.072661

    2 0.066801 0.051626 0.001404 25.20276 2.062341 1.098262

    3 0.120145 0.07553 4.05-005 34.56232 2.328999 1.048171

    4 0.03949 0.118997 0.000172 37.43815 2.366098 1.040654

    5 0.067023 0.022916 3.16-005 64.09601 2.760694 1.005231

    6 0.035791 0.102665 8.10-005 47.61653 2.496977 1.021455

    7 0.075522 +/0 0.005049 80.79621 3.035083 1.000105

    4-1$2-0$5 8.695233 0.338924 1.71994 4.067421 1.376587 1.993692

    0.8558

    Mencari calc!laion

    am(el K1 K2 K3

    1 0.12583 0.427495 2.437296 0.062785 0.050276 0.886939 0.498963

    2 0.397072 0.686725 1.315257 0.077235 0.066695 0.856071 0.194511

    nilai

    1a 2a 3a 1* 2* 3* ln 1a

    1a 2a 3a

    1a calc 2a calc 3a calc 1* calc

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    3 0.08085 0.335702 3.186151 0.05016 0.029525 0.920314 0.620415

    4 0.071064 0.310692 3.390618 0.046118 0.024675 0.929208 0.648964

    5 0.02858 0.190934 5.527431 0.022408 0.007949 0.969643 0.784054

    6 0.04786 0.256439 4.107429 0.033905 0.017333 0.948762 0.708423

    7 0.021721 0.128219 5.225156 0.017899 0 0.982101 0.824076

    4-1$2-0$5 0.205432 0.666252 5.087014 0.1155 0.218355 0.65444 0.56223

    am(el 1 2 3

    4$5$1 R R R

    4$4$4

    4-3-0$5

    4$3$1

    4-4-0$5

    4-2-1$5

    4-2-0$5

    4-1$2-0$5

    R

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    A23 A32

    -1544.77 2261.93

    0 0

    0.779669 0.0701422868 1.297199 -0.0701434233 0.9610314018

    0.723842 0.093728957 2.303315 0.3480200415 0.3677612536

    0.845438 0.0470463796 1.027604 -0.2460939691 1.2058601261

    0.861242 0.0398495447 0.978509 -0.3077124697 1.2608618933

    1.015482 0.0052176373 0.605325 -0.6403445644 1.7149407148

    0.915081 0.0212279256 0.823705 -0.4457850358 1.4340252556

    1.110239 0.0001048724 0.562436 -0.9437774674 1.6535896113

    0.319607 0.6899882 -0.179633 -0.0864803724 2.3166792188

    3.659033 0.9322601025 2.614392

    10.0073 1.4162606334 1.444497

    2.794362 0.7818487518 3.33963

    2.660487 0.7351266588 3.528461

    1.831848 0.5271107692 5.556346

    2.278928 0.6403214034 4.195553

    1.754942 0.3891550349 5.225704

    0.835577 0.9171535502 10.14194

    0.117606 0.3834302844 0.04809 0.051 0.90091 0.49948

    0.09712 0.7083693533 0.06068 0.05843 0.88089 0.19789

    ln 2a ln 3a ln 1* ln 2* ln 3*

    1* 2* 3*

    2* calc 3* calc

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    0.087951 0.2916343974 0.03526 0.0422 0.92254 0.61679

    0.079419 0.2716169367 0.03764 0.03709 0.92527 0.64611

    0.041633 0.1743136975 0.02904 0.00903 0.96193 0.78434

    0.067591 0.2239861412 0.04102 0.02289 0.93609 0.70935

    0 0.1759243345 0.0136 0 0.9864 0.82417

    0.327737 0.1286491181 0.116868 0.220941359 0.6621909719 0.551955

    am(el

    1 0.0004280744 3.75512286-005 0.0003905231

    2 0.0012335794 0.0007567095 0.0004768699

    3 0.0004731509 0.0023817706 -0.0019086196

    4 0.0002811683 0.0001520482 0.0001291201

    5 0.0001061715 0.0006085091 -0.0005023376

    6 0.0002542965 0.0007492665 -0.00049497

    7 3.69878-005 3.23792597-007 0.000036664

    4-1$2-0$5 0.078276673 0.291195672 -0.212918999 0.0028134288 0.004686179

    RM+ 0.008184522 0.0105629394

    0.0069820946

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    am(le am(le

    4$5$1 -0.940976 0.038498 -0.290535 4.563036 4$5$1

    4$4$4 -0.996229 0.051038 -0.308743 4.480887 4$4$4

    4-3-0$5 -0.873572 0.026449 -0.260986 4.650873 4-3-0$5

    4$3$1 -0.829728 0.026989 -0.235787 4.661216 4$3$1

    4-4-0$5 -0.588569 0.015275 -0.069116 4.802792 4-4-0$5

    4-2-1$5 -0.706319 0.025482 -0.157791 4.701807 4-2-1$5

    4-2-0$5 -0.513379 0.006301 0 4.899008 4-2-0$5

    4-1$2-0$5 -2.26175 0.012568 -0.150877 3.803068 4-1$2-0$5

    am(le am(le

    4$5$1 3.175847 -0.100181 -0.312256 -1.983742 4$5$1

    4$4$4 3.103443 -0.12355 -0.345462 -1.910589 4$4$4

    4-3-0$5 3.259683 -0.075508 -0.2688 -2.069937 4-3-0$5

    4$3$1 3.289386 -0.082076 -0.23943 -2.106637 4$3$1

    4-4-0$5 3.503975 -0.069684 -0.064122 -2.354687 4-4-0$5

    4-2-1$5 3.380039 -0.094021 -0.15386 -2.217077 4-2-1$5

    4-2-0$5 3.604432 -0.033575 0 -2.460618 4-2-0$5

    4-1$2-0$5 2.144491 -0.008683 -0.870853 -0.945348 4-1$2-0$5

    am(le am(le

    4$5$1 -0.11959 0.008257 0.074207 0.107269 4$5$1

    4$4$4 -0.127186 0.011816 0.097256 0.111843 4$4$4

    4-3-0$5 -0.107 0.005075 0.050878 0.098092 4-3-0$5

    4$3$1 -0.082347 0.004769 0.041358 0.07607 4$3$1

    4-4-0$5 0.016441 0.000827 0.003946 -0.015997 4-4-0$5

    4-2-1$5 -0.018556 0.003163 0.019084 0.017537 4-2-1$5

    4-2-0$5 0.025063 -3.6-005 0 -0.024923 4-2-0$5

    4-1$2-0$5 -0.866839 0.004995 0.994615 0.557217 4-1$2-0$5

    *ea ;i

    0.12018 0.38034 0.7 1

    0.10679 0.69532 0.522478 2

    ln 1a

    ln 2a

    ln 3a

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    0.0955 0.28771 0.649561 3

    0.08455 0.26934 0.537391 4

    0.04065 0.17501 0.762497 5

    0.06479 0.22586 0.612668 6

    0 0.17583 0.401991 7

    0.321747 0.126298 0.613953 4-1$2-0$5

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    ln 1*

    -1.309944 0.535199 -0.045263 2.1172067946

    -1.317104 0.210726 -0.272609 3.6823018996

    -1.075692 0.56455 -0.021224 1.5599707142

    -0.974865 0.544522 -0.022482 1.4313354667

    -0.526137 0.381981 -0.013798 0.7632799044

    -0.78 0.493025 -0.019062 1.1297422428

    -0.099484 0.080443 0 0.5814775743

    -1.839309 1.04846 0.37671 0.2345060007

    ln 2*

    2.092256 -0.899315 -0.393451 -0.8696323212

    2.582787 -0.351398 -0.479167 -1.4042022164

    2.053686 -1.237689 -0.302514 -0.7595776932

    2.064971 -1.355029 -0.269366 -0.7482884434

    2.084436 -1.979793 -0.130077 -0.6149106908

    2.072489 -1.616017 -0.206639 -0.6956186559

    2.214539 -2.436431 0 -0.7218853391

    1.469119 -1.052292 -0.419213 -0.0840953106

    ln 3*

    0.540578 0.206553 0.476725 -0.2628243979

    -0.077573 0.06787 0.320795 0.0566700005

    1.058637 0.20137 0.382759 -0.4369056125

    1.243024 0.178937 0.336537 -0.497635295

    2.252662 0.003639 0.159001 -0.7003612507 1.670972

    1.658027 0.121365 0.256 -0.6013662161

    2.935563 -0.276295 0 -1.0056788073

    0.756009 0.588217 1.01553 -0.043076779

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    0.25 0.05 0.7 1

    0.325 0.05 0.625 1

    0.203301 0.015949 0.78075 1

    0.295168 0.036799 0.668033 1

    0.5 0 0.5 1

    0.287959 0.260582 0.45146 1

    0.125 0.075 0.8 69

    0.15 0.05 0.8

    0.25 0.05 0.7

    0.325 0.05 0.625

    0.2 0.025 0.775

    0.3 0.025 0.675

    0.5 0 0.5

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    1. Menghitung nilai ia dan ib0.2 Trial :

    R 1.987 cal/mol.K A12 A21

    T 303.15 K 563.4353 -3360.88

    0 0

    Menghi!ng "i#$ "#i$ %i#$ &an %#i

    'om( "i# "#i %i# %#i

    1 &an 2 2.062012 -4.742601 0.662058 2.581886

    1 &an 3 4.612607 -0.536904 0.397516 1.113358

    2 &an 3 -2.564536 3.755122 1.670139 0.471883

    'om( 1 )aer

    'om( 2 er-*!anol

    'om( 3 +M,

    am(el

    1 0.70933 0.07013 0.22053 0.0293 0.01378

    2 0.68419 0.07942 0.23639 0.04432 0.0245

    3 0.65157 0.09459 0.25384 0.05039 0.0309

    4 0.53548 0.1121 0.35242 0.0538 0.0461

    5 0.32513 0.13597 0.5389 0.09857 0.07504

    6 0.77563 0.05173 0.17264 0.01408 0.005

    7 0.85481 0 0.14519 0.01408 0

    4-1$2-0$5 0.008093 0.249173 0.742735 0.751719 0.208943

    am(el 1 2 3

    1 0.031795 0.043246 0.0002 2.332213

    2 0.100498 0.007669 0.000688 2.46722

    3 0.099302 0.000356 0.00161 2.575022

    4 0.00217 0.00014 0.001698 3.641924

    5 0.000645 0.02264 0.008406 5.911622

    6 0.041399 0.45105 0.000615 1.892594

    7 2.21-006 +/0 0.001042 1.563092

    4-1$2-0$5 8.46672 0.304112 1.795194 4.201782

    0.815172

    Mencari calc!laion

    am(el K1 K2 K3

    1 28.9348 4.133714 0.227219 0.711654 0.065235

    2 21.19603 3.538321 0.247288 0.683551 0.079038

    nilai

    1a 2a 3a 1* 2*

    1a

    1a calc 2a calc

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    3 17.72037 3.119503 0.265435 0.650738 0.089704

    4 9.500129 2.46059 0.375728 0.53531 0.111823

    5 3.383311 1.558847 0.594982 0.323471 0.136165

    6 44.94564 5.285659 0.171688 0.775623 0.051408

    7 60.80132 8.338957 0.142586 0.854414 0

    4-1$2-0$5 0.197573 0.687029 4.944656 0.112138 0.221609

    am(el 1 2 3

    4$5$1 R R R

    4$4$4

    4-3-0$5

    4$3$1

    4-4-0$5

    4-2-1$5

    4-2-0$5

    4-1$2-0$5

    R

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    A13 A31 A23 A32

    2768.516 -366.9784 -2256.396 2242.8673164

    0 0 0 0

    "ii 0

    %ii 1

    0.95692 0.846817 -0.394523 1.4913328072 4.211863 1.024653 0.00949

    0.93118 0.903092 -0.333722 1.4233830684 3.956906 0.92993 0.026182

    0.91871 0.945858 -0.252986 1.3648085715 3.820573 0.884688 0.038423

    0.9001 1.292512 -0.089091 1.047802519 3.543818 0.81131 0.068913

    0.82639 1.77692 0.170528 0.6953533612 2.995775 0.614475 0.17613

    0.98092 0.637948 -0.547425 1.7636402868 4.443402 1.117573 0.001564

    0.98592 0.446666 -0.974081 1.9479183258 4.554277 1.146857 0.000109

    0.039338 1.435509 0.320534 0.7523336009 -0.186139 -0.054846 2.350641

    0.674002 4.443013 67.48211 2.7861298602 1.009535

    0.716253 4.15114 52.29529 2.5343327253 1.026528

    0.776479 3.914974 45.63034 2.4222276257 1.039171

    0.914763 2.851378 34.59875 2.2508556396 1.071343

    1.185931 2.004417 20.00086 1.8486849077 1.192593

    0.578437 5.833635 85.06384 3.0574234559 1.001565

    0.377539 7.014071 95.03804 3.1482824961 1.000109

    1.377863 2.121946 0.830158 0.9466310367 10.49229

    0.223111 0.024595 0.015781 0.9596237989 0.711654 0.065235 0.223111 0.024595

    0.237411 0.032249 0.022338 0.9454133197 0.683551 0.079038 0.237411 0.032249

    3* ln 1a ln 2a ln 3a ln 1* ln 2* ln 3*

    2a 3a 1* 2* 3*

    3a calc 1* calc 2* calc 3* calc

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    0.259558 0.036723 0.028756 0.9345214835 0.650738 0.089704 0.259558 0.036723

    0.352868 0.056348 0.045445 0.8982069125 0.53531 0.111823 0.352868 0.056348

    0.540364 0.095608 0.08735 0.8170422601 0.323471 0.136165 0.540364 0.095608

    0.172968 0.017257 0.009726 0.9730170718 0.775623 0.051408 0.172968 0.017257

    0.145586 0.014053 0 0.9859474447 0.854414 0 0.145586 0.014053

    0.652374 0.567576 0.322562 0.1319351035 0.113716 0.224728 0.661556 0.555319

    am(el

    1 0.000069481 3.76-005 3.19-005

    2 0.0003545683 0.000757 -0.000402

    3 0.000498652 0.002382 -0.001883

    4 1.08089-005 0.000152 -0.000141

    5 0.0002526202 0.000609 -0.000356

    6 9.50955-005 0.000749 -0.000654

    7 3.15345-007 3.24-007 -8.4-009

    4-1$2-0$5 0.0751422471 0.291196 -0.216053 0.0012815414 0.004686

    RM+ 0.0055238474 0.010563

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    am(le am(le

    4$5$1 -0.872026 0.544537 -0.013797 1.188103 4$5$1

    4$4$4 -0.966473 0.573788 -0.012412 1.308188 4$4$4

    4-3-0$5 -1.111653 0.614661 -0.004545 1.447395 4-3-0$5

    4$3$1 -1.300698 0.572176 -0.036425 2.05746 4$3$1

    4-4-0$5 -1.557047 0.396687 -0.143793 3.081074 4-4-0$5

    4-2-1$5 -0.668807 0.470988 -0.009984 0.845751 4-2-1$5

    4-2-0$5 -0.085384 0.071806 0 0.460245 4-2-0$5

    4-1$2-0$5 -2.364154 0.012942 -0.139919 3.926641 4-1$2-0$5

    am(le am(le

    4$5$1 2.111069 -1.600183 -0.229957 -0.675452 4$5$1

    4$4$4 2.100988 -1.484242 -0.259124 -0.691344 4$4$4

    4-3-0$5 2.074028 -1.329176 -0.303805 -0.694033 4-3-0$5

    4$3$1 2.141665 -1.002415 -0.379322 -0.849018 4$3$1

    4-4-0$5 2.310033 -0.537312 -0.518717 -1.083475 4-4-0$5

    4-2-1$5 2.110353 -1.899346 -0.168807 -0.589625 4-2-1$5

    4-2-0$5 2.244847 -2.592999 0 -0.62593 4-2-0$5

    4-1$2-0$5 2.193596 -0.00862 -0.903424 -0.961019 4-1$2-0$5

    am(le am(le

    4$5$1 1.614261 0.152502 0.299098 -0.574528 4$5$1

    4$4$4 1.426428 0.182264 0.340727 -0.526036 4$4$4

    4-3-0$5 1.177003 0.221913 0.411269 -0.445376 4-3-0$5

    4$3$1 0.666718 0.216055 0.477273 -0.312244 4$3$1

    4-4-0$5 0.015387 0.147277 0.541951 -0.009263 4-4-0$5

    4-2-1$5 2.116139 0.071681 0.219731 -0.643911 4-2-1$5

    4-2-0$5 3.231745 -0.316349 0 -0.967477 4-2-0$5

    4-1$2-0$5 -0.905599 0.005058 1.07408 0.578795 4-1$2-0$5

    *ea

    0.015781 0.959624 0.691942

    0.022338 0.945413 0.48787

    ln 1a

    ln 2a

    ln 3a

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    0.028756 0.934521 0.184486

    0.045445 0.898207 0.821886

    0.08735 0.817042 0.423026

    0.009726 0.973017 0.966212

    0 0.985947 0.57826

    0.315596 0.129086 0.613953

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    ln 1*

    -0.655371 0.016989 -0.111462 4.961707

    -0.748595 0.028994 -0.180294 4.856802

    -0.804441 0.035156 -0.215811 4.805669

    -0.938362 0.042967 -0.289591 4.728804

    -1.165343 0.094746 -0.348326 4.414698

    -0.578663 0.00728 -0.043844 5.058629

    -0.530104 0.006714 0 5.077668

    -1.934101 1.089078 0.409721 0.249164

    ln 2*

    3.580615 -0.070147 -0.10179 -2.384025

    3.467884 -0.102414 -0.172252 -2.263288

    3.408552 -0.113945 -0.211586 -2.198333

    3.294242 -0.115325 -0.299855 -2.067752

    3.015341 -0.192553 -0.426719 -1.781594

    3.682703 -0.034684 -0.038586 -2.49186

    3.721864 -0.03532 0 -2.539687

    1.511238 -1.047008 -0.435422 -0.083653

    ln 3*

    -0.005343 0.001392 0.008285 0.005156

    -0.023918 0.003768 0.023828 0.022504

    -0.040344 0.005411 0.03593 0.037426

    -0.098956 0.008599 0.070064 0.089206

    -0.141962 0.02485 0.174848 0.118393

    0.004424 0.000235 0.001267 -0.004362

    0.026038 -3.8-005 0 -0.025891

    0.703526 0.607622 1.079769 -0.040277

    ;i

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    4 0.009708 0.008687 0.013301 0.8482590761 0.734738 3.095735

    5 0.039509 0.007781 0.008679 1.0004546046 0.7887 2.017928

    6 0.026092 0.326282 0.015164 0.8983498815 0.735155 5.060839

    7 0.046431 0.017937 0.9966839076 +/0 5.980612

    4-1$2-0$5 0.5417206382 1.292885 1.131491

    0.596255

    am(el K1 K2 K3

    1 29.26486 4.284923 0.232399 0.712043 0.0654770969 0.222479 0.024331

    2 18.63568 3.247843 0.250644 0.685527 0.0778759776 0.236597 0.036786

    3 15.56412 2.850925 0.270989 0.652133 0.0944666598 0.2534 0.0419

    4 10.9838 2.669205 0.348886 0.534757 0.1147240545 0.350519 0.048686

    5 4.023798 1.65898 0.594105 0.326876 0.1381259804 0.534998 0.081236

    6 46.87058 5.843846 0.199062 0.77534 0.0520077306 0.172652 0.016542

    7 48.94246 +/0 0.168368 0.85587 0 0.14413 0.017487

    4-1$2-0$5 1.061184 1.027621 4.384748 0.305577 0.2677792728 1.979537 0.287959

    am(el 1 2 3 am(el

    1 -0.948533 -0.97516 -0.410473 1

    2 -0.965419 -0.976879 -0.020305 2

    3 -0.988447 -0.982561 1.014346 3

    4 -0.85733 -0.925516 -0.463278 4

    5 -0.927828 -0.920695 -0.099252 5

    6 -0.76406 -0.959204 -0.781863 6

    7 -0.985223 +/0 0.095289 7

    4-1$2-0$5 -0.728644 -0.746423 -0.897039 4-1$2-0$5+/0

    RM+

    1a calc 2a calc 3a calc 1* calc

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    A12 A21 A13 A31

    -190.5125 -269.1624 142.3913 628.714808846

    o!21 o!13 o!31 o!23 o!32

    1.5757517903 0.455203 0.522051 0.905717 0.846395

    2 3

    -2.0288 -2.32

    2a 3a 1b 2b 3b

    0.1038345148 0.076577 0.087584 0.052783 0.859633

    0.1187513677 0.082895 0.124649 0.088297 0.787054

    0.1427561173 0.089847 0.137647 0.108161 0.754192

    0.1829806393 0.134912 0.140332 0.154087 0.705581

    0.2634652176 0.244895 0.222466 0.217021 0.560513

    0.0741638347 0.058047 0.044659 0.020322 0.935019

    0 0.048566 0.045365 0 0.954635

    0.6681050812 0.329631 0.735763 0.262059 0.002178

    ln 2a ln 3a ln 1* ln 2* ln 3*

    -0.3163758263 1.483014 3.241713 1.138727 0.023713

    -0.3055881714 1.431744 2.774015 0.872403 0.048024

    -0.2763254512 1.366645 2.562658 0.771318 0.060967

    -0.3082417959 1.130025 2.231852 0.673539 0.077014

    -0.237369673 0.702071 1.392681 0.268834 0.181372

    -0.3076740441 1.621532 3.740194 1.457715 0.007392

    +/0 1.788523 3.887324 +/0 0.00692

    0.2568758166 0.123536 -0.553619 0.284123 1.601668

    25.5774919914 3.12279 1.023997

    16.0228298905 2.392653 1.049196

    12.97024688 2.162615 1.062863

    1* 2* 3*

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    9.3171083984 1.961165 1.080057

    4.0256272661 1.308437 1.198861

    42.1061764665 4.296132 1.007419

    48.7801659338 +/0 1.006944

    0.5748653406 1.328596 4.961303

    0.0152808109 0.960388 0.70933 0.07013 0.22053 0.0293 0.01378

    0.0239777561 0.939237 0.68419 0.07942 0.23639 0.04432 0.0245

    0.0331354417 0.924965 0.65157 0.09459 0.25384 0.05039 0.0309

    0.042980608 0.908333 0.53548 0.1121 0.35242 0.0538 0.0461

    0.083259559 0.835505 0.32513 0.13597 0.5389 0.09857 0.07504

    0.0088995721 0.974558 0.77563 0.05173 0.17264 0.01408 0.005

    0 0.982513 0.85481 0 0.14519 0.01408 0

    0.2605816402 0.45146

    7.178423-005 0

    0.00012616 0

    0.0001167292 0

    0.0001146955 0

    0.000474041 0

    6.190159-005 0

    2.546690-005 0

    2.23006134150.0009653115

    0.0047941221

    0.0056322394

    2* calc 3* calc

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    A23 A32 *1 *2 *3 *4 *5 *6

    137.3623 -95.68495 0.655177 0.326463 0.090872 0.733904 0.447028 0.84784

    r1 0.92 >1 1.4r2 3.9228 >2 3.744

    r3 3.0613 >3 2.816

    am(el 1 2 3 4 5 6 7

    1 0.144482 -0.740554 -0.8348 -1.439746 0.003955 2.816 2.955593

    2 0.154316 -0.803125 -0.8348 -1.494413 0.014318 2.816 2.963549

    3 0.16362 -0.875418 -0.8348 -1.560239 0.037434 2.816 2.974517

    4 0.242023 -1.27969 -0.8348 -1.900623 0.006773 2.816 3.001952

    5 0.413521 -2.212173 -0.8348 -2.718093 -0.088601 2.816 2.988787

    6 0.112273 -0.562591 -0.8348 -1.289964 -0.004312 2.816 2.932354

    7 0.107092 -0.440448 -0.8348 -1.169174 -0.106802 2.816 2.92714

    4-1$2-0$5 0.482729 -3.03751 -0.8348 -3.604352 0.297957 2.816 3.345819

    am(el 1 2 3 4 5 6 7

    1 0.392448 -0.294373 -2.0288 -1.844914 -0.029825 3.744 4.00439

    2 0.402282 -0.377564 -2.0288 -1.914965 -0.036447 3.744 3.996917

    3 0.411586 -0.473681 -2.0288 -1.999316 -0.044031 3.744 3.972777

    4 0.489989 -1.01118 -2.0288 -2.43549 -0.086626 3.744 4.024367

    5 0.661487 -2.250957 -2.0288 -3.483008 -0.182178 3.744 4.028286

    6 0.360239 -0.057764 -2.0288 -1.652981 -0.010815 3.744 3.989145

    7 +/0 +/0 -2.0288 +/0 0.001958 3.744 4.1303314-1$2-0$5 0.730695 -3.348281 -2.0288 -4.618676 -0.261587 3.744 3.721001

    am(el 1 2 3 4 5 6 7

    1 -1.05774 3.155459 -2.32 -0.432681 -0.795018 1.4 0.922405

    2 -1.047906 3.124352 -2.32 -0.44911 -0.766966 1.4 0.940778

    3 -1.038601 3.08841 -2.32 -0.468892 -0.729219 1.4 0.961275

    ln 1a

    ln 2a

    ln 3a

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    4 -0.960198 2.887423 -2.32 -0.571187 -0.615361 1.4 1.063747

    5 -0.7887 2.423831 -2.32 -0.816857 -0.404487 1.4 1.234403

    6 -1.089949 3.243935 -2.32 -0.387668 -0.865832 1.4 0.865954

    7 -1.09513 3.30466 -2.32 -0.351367 -0.977072 1.4 0.829446

    4-1$2-0$5 -0.719492 2.013507 -2.32 -1.083201 -0.077227 1.4 1.410907

    *ea

    0.95692 0.691668

    0.93118 0.482803

    0.91871 0.177146

    0.9001 0.794768

    0.82639 0.450921

    0.98092 0.953426

    0.98592 0.456251

    0

    A=

    0.019254

    0.019201

    0.018107

    0.021715

    0.042472

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    *7

    0.65726

    ln 1*

    am(el 1 2 3 4 5 6

    1 1.095007 -6.301174 -0.8348 -6.79288 -1.506435 2.816

    2 1.034066 -5.879532 -0.8348 -6.319753 -1.324113 2.816

    3 1.004898 -5.685727 -0.8348 -6.108367 -1.235066 2.816

    4 0.958737 -5.40002 -0.8348 -5.808053 -1.075463 2.816

    5 0.814007 -4.482734 -0.8348 -4.856361 -0.728861 2.816

    6 1.154297 -6.727603 -0.8348 -7.287617 -1.688295 2.816

    7 1.169976 -6.832614 -0.8348 -7.407465 -1.759285 2.816

    4-1$2-0$5 -0.05391 -0.157764 -0.8348 -1.045934 0.401152 2.816

    ln 2*

    am(el 1 2 3 4 5 6

    1 1.342973 -7.68747 -2.0288 -8.704508 -0.559767 3.744

    2 1.282032 -7.126878 -2.0288 -8.098235 -0.524042 3.744

    3 1.252864 -6.869205 -2.0288 -7.827361 -0.507355 3.744

    4 1.206703 -6.489345 -2.0288 -7.442534 -0.482381 3.744

    5 1.061973 -5.269771 -2.0288 -6.223021 -0.400314 3.744

    6 1.402263 -8.254427 -2.0288 -9.338472 -0.595138 3.744

    7 +/0 +/0 -2.0288 +/0 -0.603795 3.7444-1$2-0$5 0.194056 0.480472 -2.0288 -1.340277 0.034668 3.744

    ln 3*

    am(el 1 2 3 4 5 6

    1 -0.107214 0.390947 -2.32 -2.041436 -0.048139 1.4

    2 -0.168156 0.60057 -2.32 -1.89925 -0.072424 1.4

    3 -0.197323 0.696922 -2.32 -1.835723 -0.082374 1.4

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    4 -0.243484 0.838964 -2.32 -1.74547 -0.090161 1.4

    5 -0.388214 1.295001 -2.32 -1.459462 -0.153104 1.4

    6 -0.047924 0.178944 -2.32 -2.190118 -0.023038 1.4

    7 -0.032246 0.126736 -2.32 -2.226135 -0.021461 1.4

    4-1$2-0$5 -1.256131 3.445198 -2.32 -0.31433 -0.766789 1.4

    ;i

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    'om( 1 )aer

    'om( 2 Ter =!anol

    'om( 3 +M,

    r1 3.0613 >1 2.816 2 3.744 R

    r3 0.92 >3 1.4 T

    Trial

    A12 A21 A13 A31 A23

    -56.95059 -269.5459 188.3234 647.9811 72.43878

    o! ii 1

    1.160792

    '(erimenam(el

    7 1 0.04809 0.051 0.90091 0.49948

    1.832635 2 0.06068 0.05843 0.88089 0.19789

    2.005586 3 0.03526 0.0422 0.92254 0.61679

    2.081146 4 0.03764 0.03709 0.92527 0.64611

    2.191581 5 0.02904 0.00903 0.96193 0.78434

    2.505015 6 0.04102 0.02289 0.93609 0.70935

    1.643613 7 0.0136 0 0.9864 0.82417

    1.597989 4-1$2-0$5 0.001397 0.321742 0.676861 0.776516

    2.967927am(el 1a 2a 3a 1b

    1 0.085297 0.120269 0.794434 0.588763

    7 2 0.105291 0.134798 0.759911 0.288656

    3.496251 3 0.064107 0.102009 0.833883 0.695524

    3.620229 4 0.068817 0.090158 0.841025 0.723991

    3.662257 5 0.055924 0.02312 0.920956 0.847574

    3.683934 6 0.07641 0.05669 0.8669 0.781412

    3.861903 7 0.026984 0 0.973016 0.904106

    3.338931 4-1$2-0$5 0.001825 0.558684 0.439491 0.727565

    3.3259113.411214

    7 am(el 1 2 3

    1.429595 1 0.000333 0.016662 0.011057

    1.436064 2 0.037586 0.00491 0.005233

    1.436729 3 0.051853 0.123657 0.00333

    1a 2a 3a 1*

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    1.434097 4 0.023479 0.13121 0.002053

    1.417981 5 0.006394 4.67-005 0.014886

    1.416784 6 0.004097 0.038793 0.000167

    1.415167 7 0.086281 0.002509

    0.748518 4-1$2-0$5

    0.564537

    am(el K1 K2 K3

    0.5 0.05 0.45 1 0.098053 0.372974 2.631331 0.048327

    0.25 0.05 0.7 2 0.252595 0.510123 1.36193 0.051925

    0.1 0.05 0.85 3 0.071786 0.310878 3.396983 0.043592

    0.4 0.1 0.5 4 0.067903 0.305372 3.594543 0.043372

    0.2 0.1 0.7 5 0.034179 0.223663 4.865113 0.026858

    6 0.054242 0.290134 4.091308 0.038445

    7 0.022136 +/0 5.335861 0.019329

    4-1$2-0$5 1.008657 1.027621 4.384748 0.290452

    am(el 1 2 3

    1 -0.675145 -0.895412 -0.562556

    2 -0.284869 -0.810559 -0.481028

    3 -0.995299 -0.971352 0.154464

    4 -0.69591 -0.937021 -0.587509

    5 -0.024922 -0.95592 -0.833598

    6 0.236788 -0.907009 -0.842364

    7 0.112279 +/0 -0.854685

    4-1$2-0$5 -0.714513 -0.746423 -0.897039+/0

    1a calc

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    A12 A21

    -56.95059 -269.5459

    10

    8.314 ?/mol.K

    313.15K

    A32 o!12 o!21 o!13 o!31 o!23 o!32

    -7.364078 1.013103 1.553035 0.466788 0.533001 0.908585 0.850914

    1 2 3

    -0.8348 -2.0288 -2.32

    1a 2a 3a 1b 2b 3b

    0.12018 0.38034 0.125173 0.170104 0.704723 0.650549 0.200578 0.148873

    0.10679 0.69532 0.151593 0.18705 0.661357 0.363973 0.25169 0.384337

    0.0955 0.28771 0.096186 0.147513 0.756301 0.747054 0.148221 0.104725

    0.08455 0.26934 0.103624 0.130846 0.76553 0.773416 0.129691 0.096892

    0.04065 0.17501 0.088081 0.035097 0.876822 0.882248 0.058592 0.05916

    0.06479 0.22586 0.116643 0.083406 0.79995 0.824586 0.09651 0.078904

    0 0.17583 0.043865 0 0.956135 0.939748 0 0.060252

    0.215835 0.007649 0.002264 0.668105 0.329631 0.735763 0.262059 0.002178

    2b 3b ln 1a ln 2a ln 3a ln 1* ln 2* ln 3*

    0.188347 0.22289 2.169051 0.689748 0.069612 -0.153198 -0.296499 1.037102

    0.207105 0.504239 1.919454 0.552351 0.09563 0.543487 -0.120751 0.404533

    0.14318 0.161297 2.476757 0.861213 0.04471 -0.15731 -0.307143 1.267597

    0.125963 0.150046 2.549541 0.862236 0.045242 -0.140134 -0.323989 1.324659

    0.058403 0.094022 3.298296 1.152974 0.020929 -0.077835 -0.34464 1.603019

    0.094892 0.123696 2.80038 0.9002 0.041606 -0.113914 -0.337211 1.45047

    0 0.095894 3.814027 +/0 0.006446 0.003457 +/0 1.680896

    0.268872 0.003563 -0.56224 0.256876 0.123536 -0.553619 0.284123 1.601668

    8.749974 1.993214 1.072093 0.85796 0.743416 2.821031

    6.817234 1.737333 1.100352 1.722001 0.886254 1.498602

    11.9026 2.366029 1.045724 0.854439 0.735546 3.552307

    2* 3*

    1a 2a 3a 1* 2* 3*

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    12.80123 2.368451 1.046281 0.869242 0.723258 3.760903

    27.06648 3.167599 1.02115 0.925117 0.708475 4.96801

    16.4509 2.460094 1.042483 0.892334 0.713758 4.26512

    45.33265 +/0 1.006467 1.003463 +/0 5.370368

    0.569931 1.292885 1.131491 0.574865 1.328596 4.961303

    0.04907 0.902602 0.492871 0.131565 0.375564 0.04809 0.051 0.90091

    0.051934 0.896141 0.205565 0.101807 0.692628 0.06068 0.05843 0.88089

    0.035368 0.921041 0.607245 0.113768 0.278988 0.03526 0.0422 0.92254

    0.029853 0.926775 0.63873 0.097761 0.263509 0.03764 0.03709 0.92527

    0.008517 0.964625 0.785782 0.03808 0.176138 0.02904 0.00903 0.96193

    0.019279 0.942276 0.708762 0.06645 0.224789 0.04102 0.02289 0.93609

    0 0.980671 0.873198 0 0.126802 0.0136 0 0.9864

    0.267779 1.979537 0.287959 0.260582 0.45146

    am(el

    1 0.000203

    2 0.000442

    3 0.000619

    4 0.00035

    5 2.22-005

    6 6.22-005

    7 0.004873

    4-1$2-0$5 2.221088 0.001699

    RM+ 0.006361

    2a calc 3a calc 1* calc 2* calc 3* calc

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    A13 A31 A23 A32 *1 *2 *3 *4

    188.3234 647.9811 72.43878 -7.364078 0.655177 0.326463 0.090872 0.733904

    r1 0.92 >1 1.4r2 3.9228 >2 3.744

    r3 3.0613 >3 2.816

    am(el 1 2 3 4 5

    1 0.956621 -5.400404 -0.8348 -5.814131 -1.022505

    2 0.915582 -5.131724 -0.8348 -5.528241 -0.926357

    3 1.00353 -5.712572 -0.8348 -6.152341 -1.140417

    4 1.012704 -5.763272 -0.8348 -6.203406 -1.182482

    5 1.109584 -6.396096 -0.8348 -6.89799 -1.520872

    6 1.045059 -5.955872 -0.8348 -6.404884 -1.316736

    7 1.171058 -6.841112 -0.8348 -7.417786 -1.706116

    4-1$2-0$5 0.482729 -3.03751 -0.8348 -3.604352 0.277926

    am(el 1 2 3 4 5

    1 1.204587 -6.489855 -2.0288 -7.450323 -0.467227

    2 1.163548 -6.132633 -2.0288 -7.083978 -0.444355

    3 1.251496 -6.904898 -2.0288 -7.88371 -0.493443

    4 1.26067 -6.972305 -2.0288 -7.949146 -0.49773

    5 1.35755 -7.813673 -2.0288 -8.839197 -0.549771

    6 1.293025 -7.228375 -2.0288 -8.207323 -0.513835

    7 +/0 +/0 -2.0288 +/0 -0.5852384-1$2-0$5 0.730695 -3.348281 -2.0288 -4.618676 -0.261587

    am(el 1 2 3 4 5

    1 -0.245601 0.838773 -2.32 -1.747297 -0.081387

    2 -0.286639 0.972349 -2.32 -1.66138 -0.09929

    3 -0.198691 0.683575 -2.32 -1.848938 -0.062276

    ln 1a

    ln 2a

    ln 3a

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    4 -0.189517 0.658369 -2.32 -1.864284 -0.064367

    5 -0.092637 0.343755 -2.32 -2.073025 -0.045435

    6 -0.157162 0.562617 -2.32 -1.924834 -0.065818

    7 -0.031163 0.122512 -2.32 -2.229237 -0.02029

    4-1$2-0$5 -0.719492 2.013507 -2.32 -1.083201 -0.077227

    *ea

    0.49948 0.12018 0.38034 0.625071

    0.19789 0.10679 0.69532 0.036224

    0.61679 0.0955 0.28771 1.068467

    0.64611 0.08455 0.26934 0.703325

    0.78434 0.04065 0.17501 0.442445

    0.70935 0.06479 0.22586 0.348733

    0.82417 0 0.17583 0.437067

    0

    A=

    0 0.02663

    0 0.045853

    0 0.053198

    0 0.040895

    0 0.010531

    0

    0

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    *5 *6 *7

    0.447028 0.84784 0.65726

    ln 1*

    6 7 am(el 1 2 3 4

    2.816 2.205002 1 0.264249 -1.405066 -0.8348 -2.009912

    2.816 2.300202 2 0.609368 -3.264371 -0.8348 -3.669336

    2.816 2.088159 3 0.191609 -1.006331 -0.8348 -1.666769

    2.816 2.066979 4 0.179848 -0.929818 -0.8348 -1.598971

    2.816 1.815253 5 0.11763 -0.56453 -0.8348 -1.285972

    2.816 1.991628 6 0.150533 -0.757206 -0.8348 -1.450284

    2.816 1.621021 7 0.131235 -0.544407 -0.8348 -1.249633

    2.816 3.315085 4-1$2-0$5 -0.05391 -0.157764 -0.8348 -1.045934

    ln 2*

    6 7 am(el 1 2 3 4

    3.744 3.657733 1 0.512215 -1.177872 -2.0288 -2.575535

    3.744 3.722097 2 0.857334 -3.649903 -2.0288 -4.701947

    3.744 3.577739 3 0.439575 -0.647736 -2.0288 -2.135825

    3.744 3.588205 4 0.427814 -0.546008 -2.0288 -2.048948

    3.744 3.495071 5 0.365596 -0.060342 -2.0288 -1.647866

    3.744 3.600809 6 0.398499 -0.316513 -2.0288 -1.858418

    3.744 3.332706 7 +/0 +/0 -2.0288 +/03.744 3.721001 4-1$2-0$5 0.194056 0.480472 -2.0288 -1.340277

    ln 3*

    6 7 am(el 1 2 3 4

    1.4 1.432243 1 -0.937973 2.825091 -2.32 -0.604031

    1.4 1.43075 2 -0.592853 1.900721 -2.32 -1.102731

    1.4 1.431388 3 -1.010612 3.023326 -2.32 -0.500907

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    1.4 1.432262 4 -1.022374 3.061365 -2.32 -0.480532

    1.4 1.428649 5 -1.084591 3.242971 -2.32 -0.386468

    1.4 1.434501 6 -1.051689 3.14718 -2.32 -0.435848

    1.4 1.414429 7 -1.070986 3.252975 -2.32 -0.375547

    1.4 1.410907 4-1$2-0$5 -1.256131 3.445198 -2.32 -0.31433

    ;i

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    5 6 7

    0.000206 2.816 3.003287

    -0.362998 2.816 2.815045

    0.010843 2.816 2.979714

    -0.001152 2.816 2.971488

    -0.032883 2.816 2.930991

    -0.014928 2.816 2.953652

    -0.129018 2.816 2.943222

    0.401152 2.816 2.967927

    5 6 7

    -0.096768 3.744 4.018344

    -0.277315 3.744 4.022645

    -0.056333 3.744 4.006339

    -0.048548 3.744 4.018491

    -0.010917 3.744 4.023877

    -0.030836 3.744 4.02365

    -0.009183 3.744 4.1799620.034668 3.744 3.411214

    5 6 7

    -0.563081 1.4 1.097127

    -0.265672 1.4 1.351738

    -0.678199 1.4 1.004222

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    -0.709464 1.4 0.984329

    -0.855615 1.4 0.877444

    -0.77555 1.4 0.936419

    -0.921109 1.4 0.877749

    -0.766789 1.4 0.748518

    1 0.5 0.05 0.45

    1 0.2 0.1 0.7

    1 0.05 0.03 0.965

    1 0.4 0.1 0.5

    1 0.2 0.1 0.7

    1

    1

    1

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    1. Menghitung nilai ia dan ib0.2 Trial :

    R 1.987 cal/mol.K A12 A21 A13 A31

    T 313.15K -1842.26 198.3113 3015.944 253.6398

    Menghi!ng "i#$ "#i$ %i#$ &an %#i

    'om( "i# "#i %i# %#i "ii 0

    1 &an 2 -2.960742 0.318711 1.807868 0.938247 %ii 1

    1 &an 3 4.847 0.407631 0.379311 0.921709

    2 &an 3 3.613182 1.317795 0.485471 0.768312

    'om( 1 +M,

    'om( 2

    'om( 3 )aer

    am(el

    1 0.0136 0 0.9864 0.82417 0 0.17583 4.816861

    2 0.01438 0.00369 0.98193 0.53915 0.10221 0.35864 4.780816

    3 0.00769 0.00583 0.98648 0.38901 0.1564 0.45459 4.789995

    4 0.00823 0.00588 0.98589 0.26622 2.22-01 0.51226 4.787283

    5 0.00769 0.00546 0.98685 0.22698 2.47-01 0.52636 4.793306

    6 0.00646 0.00811 0.98543 0.19138 2.68-01 0.54054 4.774721

    7 0 0.01528 0.98472 0 0.52551 0.47449 4.736668

    8 0.00499 0.00874 0.98627 0.05709 0.44557 0.49735 4.775169

    am(el 1 2 3

    4$5$1 0 +/0 0.229232 123.5766 105.2524 1.000162

    4$4$4 0.181085 6.316991 0.000397 119.2016 100.1122 1.000619

    4-3-0$5 1.358423 3.640437 0.007761 120.3008 111.998 1.000468

    4$3$1 0.736602 0.731142 0.005424 119.9749 110.7462 1.000504

    4-4-0$5 0.558216 0.208725 0.004539 120.6997 112.3949 1.000438

    4-2-1$5 0.564152 0.300072 0.004069 118.4772 112.3031 1.000574

    4-2-0$5 +/0 0 0.004328 114.0536 119.2604 1.000453

    4-1$2-0$5 1.371472 0.080308 0.001315 118.5304 114.952 1.000512

    16.30469

    Mencari calc!laion

    am(el K1 K2 K3

    4$5$1 0.014597 0.001072 9.055079 0.012059 0 0.987941 0.826157

    4$4$4 0.040819 0.002924 2.683923 0.021594 0.000308 0.978098 0.529025

    nilai

    1a 2a 3a 1* 2* 3* ln 1a

    1a 2a 3a

    1a calc 2a calc 3a calc 1* calc

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    4-3-0$5 0.063408 0.005531 1.987052 0.02396 0.000897 0.975144 0.377869

    4$3$1 0.072928 0.011287 1.787947 0.018939 0.002538 0.978523 0.259696

    4-4-0$5 0.071518 0.014018 1.752708 0.014704 0.00356 0.981736 0.205603

    4-2-1$5 0.071538 0.017493 1.710391 0.013554 0.004685 0.981761 0.189468

    4-2-0$5 0.015495 0.027384 1.943187 0 0.014524 0.985476 0

    4-1$2-0$5 0.027098 0.026042 1.912415 0.001452 0.010998 0.98755 0.053586

    am(el 1 2 3

    4$5$1 R R R

    4$4$4

    4-3-0$5

    4$3$1

    4-4-0$5

    4-2-1$5

    4-2-0$5

    4-1$2-0$5

    R

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    A23 A32

    2248.227 819.97024898

    4.656361 0.0001624465 0.589928 -2.182284908 2.2034882805

    4.606292 0.000618821 1.582202 -1.2284736926 0.9878984392

    4.718481 0.0004681104 2.031825 -0.4789117502 0.6871203588

    4.707241 0.0005042579 2.169001 0.2231709044 0.5815721541

    4.722018 0.0004378207 2.155503 0.4545914906 0.561599704

    4.721202 0.0005740138 2.13719 0.6752635264 0.5372958021

    4.781309 0.0004527046 0.569462 1.1835003509 0.6647822199

    4.744515 0.000511934 1.166878 1.0964580348 0.6488789321

    1.803858 0.112783536 9.05655

    4.865656 0.2927390467 2.685585

    7.627992 0.6194571493 1.987983

    8.749539 1.2500341918 1.788849

    8.632231 1.5755296329 1.753475

    8.475587 1.9645506186 1.711373

    1.767316 3.2657856149 1.944067

    3.211948 2.9935441945 1.913395

    0 0.1738434545 0.012059 0 0.9879405272 0.826157

    0.105424 0.365551736 0.021594 0.0003082698 0.9780976174 0.529025

    ln 2a ln 3a ln 1* ln 2* ln 3*

    1* 2* 3*

    2* calc 3* calc

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    0.16211 0.4600213574 0.02396 0.0008966255 0.9751436057 0.377869

    0.224841 0.5154631336 0.018939 0.0025378692 0.9785230372 0.259696

    0.253968 0.5404289486 0.014704 0.0035600808 0.9817355818 0.205603

    0.267814 0.5427183173 0.013554 0.0046849445 0.9817609682 0.189468

    0.530397 0.4745465098 0 0.0145242178 0.9854757822 0

    0.422337 0.5232224768 0.001452 0.0109983597 0.9875495501 0.053632

    am(el

    4$5$1 1.26392-005 23.08613 44.767829182 45.743532346 45.79933

    4$4$4 0.0002387859

    4-3-0$5 0.0006037936

    4$3$1 0.0002439191

    4-4-0$5 0.000787311

    4-2-1$5 0.000083986

    4-2-0$5 2.50298-005

    4-1$2-0$5 0.0012406969 0.0032361614

    RM+ 0.0082109701

    0.0073254921

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    am(le am(le

    4$5$1 0.401623 -0.005919 0 4.421157 4$5$1

    4$4$4 0.400946 -0.006247 -0.018237 4.404355 4$4$4

    4-3-0$5 0.403705 -0.003366 -0.029487 4.419143 4-3-0$5

    4$3$1 0.403462 -0.0036 -0.02968 4.417101 4$3$1

    4-4-0$5 0.403739 -0.003366 -0.027623 4.420556 4-4-0$5

    4-2-1$5 0.404042 -0.00283 -0.04114 4.414649 4-2-1$5

    4-2-0$5 0.406248 0 -0.078985 4.409405 4-2-0$5

    4-1$2-0$5 0.404635 -0.002189 -0.044557 4.417281 4-1$2-0$5

    am(le am(le

    4$5$1 1.18335 -0.002209 0 3.47522 4$5$1

    4$4$4 1.16974 -0.002316 -0.005505 3.444373 4$4$4

    4-3-0$5 1.231426 -0.001281 -0.009232 3.497567 4-3-0$5

    4$3$1 1.226038 -0.001367 -0.009263 3.491833 4$3$1

    4-4-0$5 1.232044 -0.001282 -0.008651 3.499907 4-4-0$5

    4-2-1$5 1.239722 -0.00108 -0.012941 3.495502 4-2-1$5

    4-2-0$5 1.291707 0 -0.025571 3.515173 4-2-0$5

    4-1$2-0$5 1.253174 -0.00084 -0.014123 3.506305 4-1$2-0$5

    am(le am(le

    4$5$1 0.025217 3.13-005 0 -0.025086 4$5$1

    4$4$4 0.033271 3.69-005 0.000338 -0.033027 4$4$4

    4-3-0$5 0.024555 1.15-005 0.000314 -0.024413 4-3-0$5

    4$3$1 0.025654 1.31-005 0.000337 -0.025499 4$3$1

    4-4-0$5 0.023897 1.14-005 0.000292 -0.023763 4-4-0$5

    4-2-1$5 0.026318 8.87-006 0.000396 -0.026148 4-2-1$5

    4-2-0$5 0.027015 0 0.000251 -0.026813 4-2-0$5

    4-1$2-0$5 0.024693 5.71-006 0.000354 -0.02454 4-1$2-0$5

    *ea ;i

    0 0.173843 0.400568 1

    0.105424 0.365552 0.528152 2

    ln 1a

    ln 2a

    ln 3a

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    0.16211 0.460021 0.365401 3

    0.224841 0.515463 0.334158 4

    0.253968 0.540429 0.817344 5

    0.267814 0.542718 0.446852 6

    0.527788 0.472212 0.072396 7

    0.422698 0.52367 0.061359 8

    50.5617 1.26-005

    0.000239

    0.000604

    0.000244

    0.000787

    8.40-005

    1.15-005

    0.001247

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    ln 1*

    0.066984 -0.055977 0 0.5789203379

    0.171198 -0.095589 -0.077674 1.5842657843

    0.227876 -0.092847 -0.196527 2.0933227039

    0.273412 -0.076924 -0.404573 2.3770868826

    0.287763 -0.069223 -0.505451 2.4424144642

    0.300973 -0.061204 -0.610181 2.5076016548

    0.360509 0 -1.939119 2.1480718018

    0.342884 -0.020968 -1.425134 2.2700965853

    ln 2*

    -2.605069 0.380306 0 0.0424788116

    -1.865296 0.148903 0.140966 0.3469533677

    -1.341636 0.06691 0.173566 0.6222483023

    -0.82664 0.023041 0.167025 0.8597451036

    -0.642548 0.013459 0.14932 0.9343602612

    -0.463492 0.006521 0.120704 1.0115305184

    0.539747 0 -0.318676 0.9624289288

    0.212669 -0.002672 -0.101793 0.9882539791

    ln 3*

    3.102186 0.218021 0 -1.1167190698

    1.910231 0.078907 0.116783 -1.118022249

    1.459344 0.039116 0.167025 -0.9783653157

    1.218162 0.018804 0.210349 -0.8657430322

    1.160843 0.014095 0.22116 -0.8344981413 26.13236

    1.106022 0.010417 0.225204 -0.8043468233

    1.263407 0 0.223012 -0.8216364053

    1.205648 0.001907 0.256795 -0.8154714963

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    0.24855 0.103203 0.648247 1

    0.179245 0.150557 0.670198 1

    0.049573 0.049299 0.901128 1

    0.11086 0.150234 0.738905 1

    0 0.49305 0.50695 1

    0.050388 0.397098 0.552515 1

    0.075 0.8 69

    0.05 0.8

    0.05 0.7

    0.05 0.625

    0.025 0.775

    0.025 0.675

    0 0.5

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    1. Menghitung nilai ia dan ib0.2 Trial :

    R 1.987 cal/mol.K A12 A21

    T 303.15 K 563.4353 -3360.88

    0 0

    Menghi!ng "i#$ "#i$ %i#$ &an %#i

    'om( "i# "#i %i# %#i

    1 &an 2 -3.058408 0.329224 1.843529 0.936276

    1 &an 3 5.006888 0.421077 0.367373 0.919233

    2 &an 3 3.73237 1.361265 0.474035 0.761662

    'om( 1 )aer

    'om( 2 er-*!anol

    'om( 3 +M,

    am(el

    1 0 0.54275 0.45725 0 0.01264

    2 0.19687 0.30386 0.49927 0.00869 0.00959

    3 0.2311 0.28316 0.48574 0.00507 0.00852

    4 0.28272 0.24331 0.47397 0.00914 2.26-04

    5 0.40408 0.18707 0.40885 0.01218 4.58-04

    6 0.56731 0.1389 0.29379 0.01069 4.68-04

    7 0.85412 0 0.14588 0.01408 0

    4-1$2-0$5 0.07267 0.43693 0.4904 0.00487 0.01326

    am(el 1 2 3

    1 +/0 0.004077 0.002188 1.612542

    2 0.036357 0.722222 0.000406 7.161001

    3 0.78642 1.200643 0.000551 7.319074

    4 0.255637 4.44055 0.001731 7.814267

    5 0.152165 0.266146 0.000536 6.39284

    6 0.075046 0.367164 0.018714 3.580816

    7 0.14918 +/0 0.449761 1.602105

    4-1$2-0$5 0.791364 0.106657 0.000159 3.625641

    9.827675

    Mencari calc!laion

    am(el K1 K2 K3

    1 83.78009 45.77012 0.485283 0 0.542767

    2 18.72194 74.11978 0.518919 0.195314 0.305241

    nilai

    1a 2a 3a 1* 2*

    1a

    1a calc 2a calc

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    3 18.77839 99.4181 0.504132 0.21195 0.299695

    4 18.65644 130.9607 0.498777 0.282061 0.243707

    5 22.45996 243.9994 0.423783 0.401465 0.19007

    6 40.35243 543.8981 0.259119 0.582716 0.114739

    7 89.26015 1219.782 0.075666 0.854171 0

    4-1$2-0$5 36.32192 45.67746 0.505789 0.07285 0.445151

    am(el 1 2 3

    4$5$1 R R R

    4$4$4

    4-3-0$5

    4$3$1

    4-4-0$5

    4-2-1$5

    4-2-0$5

    4-1$2-0$5

    R

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    A13 A31 A23 A32

    2768.516 -366.9784 -2256.396 2242.8673164

    0 0 0 0

    "ii 0

    %ii 1

    0.98736 0.477812 1.141535 0.7233360629 4.906007 4.965166 0.000312

    0.98172 1.96865 0.506665 0.6569217881 4.898346 4.812347 0.000914

    0.98641 1.990484 0.299583 0.6854308907 4.92319 4.898918 0.000513

    0.99064 2.055951 0.020322 0.6956840246 4.982142 4.895219 8.80-005

    0.98736 1.855179 -0.668286 0.8587054392 4.966913 4.82888 0.000172

    0.98884 1.275591 -1.438668 1.350605007 4.973242 4.860094 0.000138

    0.98592 0.471318 -2.312829 2.581602737 4.962873 4.793599 0.00017

    0.98187 1.288031 1.034471 0.6825215782 4.880452 4.856076 0.000885

    3.131571 2.061298 135.0989 143.33240713 1.000312

    1.659746 1.928846 134.0679 123.02000445 1.000914

    1.349297 1.984627 137.4404 134.14450602 1.000513

    1.020529 2.00508 145.7864 133.64924893 1.000088

    0.512586 2.360103 143.583 125.0707688 1.000172

    0.237244 3.85976 144.4946 129.03637103 1.000138

    0.098981 13.21831 143.0041 120.73508427 1.00017

    2.813617 1.978861 131.6902 128.5189079 1.000886

    0.457233 0 0.011859 0.9881414494 0 0.542767 0.457233 0

    0.499444 0.010432 0.004118 0.9854494153 0.195314 0.305241 0.499444 0.010432

    3* ln 1a ln 2a ln 3a ln 1* ln 2* ln 3*

    2a 3a 1* 2* 3*

    3a calc 1* calc 2* calc 3* calc

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    0.488356 0.011287 0.003014 0.9856986248 0.21195 0.299695 0.488356 0.011287

    0.474232 0.015119 0.001861 0.9830203657 0.282061 0.243707 0.474232 0.015119

    0.408464 0.017875 0.000779 0.981346309 0.401465 0.19007 0.408464 0.017875

    0.302545 0.014441 0.000211 0.9853483762 0.582716 0.114739 0.302545 0.014441

    0.145829 0.009569 0 0.9904305482 0.854171 0 0.145829 0.009569

    0.481999 0.002006 0.009746 0.9882488039 0.07285 0.445151 0.481999 0.002006

    am(el

    1 1.22193-006 3.76-005 -3.6-005

    2 0.000051244 0.000757 -0.000705

    3 0.0007164461 0.002382 -0.001665

    4 9.71372-005 0.000152 -5.5-005

    5 8.46846-005 0.000609 -0.000524

    6 0.0009240417 0.000749 0.000175

    7 4.06952-005 3.24-007 4.04-005

    4-1$2-0$5 0.0001994276 0.291196 -0.290996 0.0019154707 0.004686

    RM+ 0.0067532544 0.010563

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    am(le am(le

    4$5$1 0.370806 0 -2.047713 2.154719 4$5$1

    4$4$4 0.305127 -0.063883 -0.677282 2.404688 4$4$4

    4-3-0$5 0.292023 -0.071587 -0.569376 2.339423 4-3-0$5

    4$3$1 0.273149 -0.081614 -0.420739 2.285156 4$3$1

    4-4-0$5 0.226077 -0.095652 -0.220734 1.945488 4-4-0$5

    4-2-1$5 0.161804 -0.094884 -0.092676 1.301347 4-2-1$5

    4-2-0$5 0.057139 -0.049385 0 0.463565 4-2-0$5

    4-1$2-0$5 0.347971 -0.027116 -1.370071 2.337247 4-1$2-0$5

    am(le am(le

    4$5$1 0.532073 0 -0.324103 0.933565 4$5$1

    4$4$4 -0.565722 0.009301 0.164173 0.898913 4$4$4

    4-3-0$5 -0.740733 0.016812 0.194359 0.829146 4-3-0$5

    4$3$1 -0.979662 0.030888 0.21178 0.757316 4$3$1

    4-4-0$5 -1.491388 0.080454 0.224378 0.51827 4-4-0$5

    4-2-1$5 -2.054662 0.180994 0.202619 0.232382 4-2-1$5

    4-2-0$5 -2.767091 0.433533 0 0.020729 4-2-0$5

    4-1$2-0$5 0.104536 -0.002693 -0.048363 0.980991 4-1$2-0$5

    am(le am(le

    4$5$1 1.343919 0 0.23943 -0.860012 4$5$1

    4$4$4 1.257252 0.011718 0.265086 -0.877134 4$4$4

    4-3-0$5 1.313824 0.015544 0.261448 -0.905385 4-3-0$5

    4$3$1 1.371257 0.022165 0.239887 -0.937625 4$3$1

    4-4-0$5 1.662974 0.044812 0.203446 -1.052527 4-4-0$5

    4-2-1$5 2.269632 0.095126 0.159683 -1.173836 4-2-1$5

    4-2-0$5 3.417879 0.248437 0 -1.084714 4-2-0$5

    4-1$2-0$5 1.251997 0.002695 0.275613 -0.847784 4-1$2-0$5

    *ea

    0.011859 0.988141 0.906355

    0.004118 0.985449 0.484459

    ln 1a

    ln 2a

    ln 3a

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    0.003014 0.985699 0.496224

    0.001861 0.98302 0.614837

    0.000779 0.981346 0.735485

    0.000211 0.985348 0.433916

    0 0.990431 0.580731

    0.009746 0.988249 0.682932

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    ln 1*

    0.419895 0 -0.068053 4.554165

    0.416204 -0.003931 -0.050055 4.536128

    0.41796 -0.002304 -0.045123 4.552657

    0.416873 -0.004142 -0.001185 4.570596

    0.415461 -0.005499 -0.002373 4.559323

    0.416141 -0.004835 -0.00244 4.564376

    0.414636 -0.006343 0 4.554581

    0.417608 -0.002211 -0.070043 4.535098

    ln 2*

    1.338763 0 -0.02213 3.648533

    1.252829 -0.001514 -0.015536 3.576568

    1.292481 -0.000902 -0.014317 3.621655

    1.264353 -0.001605 -0.00037 3.632842

    1.2324 -0.002104 -0.000728 3.599312

    1.247812 -0.001862 -0.000755 3.614899

    1.213599 -0.002409 0 3.582409

    1.2863 -0.000863 -0.022148 3.592788

    ln 3*

    0.022513 0 0.000176 -0.022378

    0.033303 1.57-005 0.000637 -0.033042

    0.024589 5.85-006 0.000361 -0.024443

    0.017314 1.42-005 1.34-005 -0.017253

    0.0234 2.53-005 3.61-005 -0.023289

    0.020636 1.95-005 3.26-005 -0.02055

    0.026131 3.36-005 0 -0.025995

    0.032748 6.27-006 0.000612 -0.032481

    ;i

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    3 0.11086 0.150234 0.738905 1

    4 0.179245 0.150557 0.670198 1

    5 0.3 0.14 0.56 1

    4-2-1$5 0.261024 0.049907 0.689069 1

    4-2-0$5 0.500056 0 0.499944 1

    4-1$2-0$5 0.050388 0.307098 0.642515 1

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    'om( 1 )aer

    'om( 2 Ter =!anol

    'om( 3 +M,

    r1 3.0613 >1 2.816 < 10

    r2 3.4686 >2 3.124 R 8.314 ?/mol.K

    r3 0.92 >3 1.4 T 303.15 K

    Trial

    A12 A21 A13 A31 A23 A32 o!12

    57.56097 80.26215 246.4279 229.9895 130.4077 176.50518658 0.827062

    o! ii 1 1

    -0.8348

    '(erimenam(el 1a

    1 0.0136 0.0001 0.9863 0.82417 0.0001 0.17573 0.043854

    2 0.01438 0.00369 0.98193 0.53915 0.10221 0.35864 0.045846

    3 0.00769 0.00583 0.98648 0.38901 0.1564 0.45459 0.024746

    4 0.008503 0.006879 0.984618 0.26622 2.22-01 0.51226 0.027235

    5 0.008125 0.007886 0.983989 0.22698 2.47-01 0.52636 0.025977

    6 0.00646 0.00811 0.98543 0.19138 2.68-01 0.54054 0.020719

    7 0.0001 0.0153 0.9846 0.0001 0.52541 0.47449 0.000319

    8 0.00443 0.013246 0.982323 0.05709 0.44557 0.49735 0.01408

    am(el 1a 2a 3a 1b 2b 3b ln 1a

    1 0.026981 0.00022 0.972799 0.904045 0.0001216891 0.095833 4.318547

    2 0.028383 0.00808 0.963538 0.648921 0.1364753386 0.214603 4.242174

    3 0.01524 0.012818 0.971943 0.493342 0.2200404476 0.286617 4.352997

    4 0.016816 0.015093 0.968091 0.347249 0.3205613802 0.33219 4.31754

    5 0.016055 0.017288 0.966657 0.297756 0.3589627784 0.343282 4.309183

    6 0.012783 0.017803 0.969415 0.252645 0.3925919173 0.354763 4.34212

    7 0.000197 0.033506 0.966296 0.000122 0.7118029231 0.288075 4.363689

    4-1$2-0$5 0.00873 0.028956 0.962314 0.071483 0.6189198324 0.309598 4.302093

    am(el 1 2 3

    1 0.034754 9.349679 0.000668 75.079466976 58.43133 1.00404

    2 0.112399 0.004132 0.038844 69.558932297 53.18106 1.003655

    3 0.015357 0.013966 0.026325 77.711037246 57.2989 1.00009

    1a 2a 3a 1* 2* 3*

    1a 2a 3a

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    4 0.000185 0.002046 0.011159 75.003881957 55.14346 1.000231

    5 1.70-005 0.000244 0.007655 74.37968504 54.30396 0.999878

    6 0.018764 0.001754 0.005065 76.870323965 55.70897 0.999088

    7 7.332277 0.000355 78.546388798 53.4424 0.99518

    4-1$2-0$5 0.072714 5.16-005 73.854222529 51.65085 0.997389

    17.04841

    am(el K1 K2 K3

    1 0.013695 0.046995 5.759526 0.01136 0 0.98864 0.829471

    2 0.019074 0.038499 3.334392 0.01033 0.0039033673 0.985767 0.541573

    3 0.022376 0.033121 2.552303 0.008658 0.0052891865 0.986052 0.38695

    4 0.031508 0.032491 2.136262 0.008353 0.007231295 0.984416 0.265102

    5 0.035648 0.032476 2.040357 0.008368 0.0076750566 0.983957 0.234726

    6 0.03871 0.031547 1.95752 0.00752 0.0083515923 0.984129 0.194256

    7 0.066682 rr:502 2.036359 0 0 1 0

    4-1$2-0$5 0.059261 0.028546 1.989349 0.003245 0.0123547079 0.9844 0.054762

    am(el 1 2 3 am(el

    1 0.217171 -1 -0.869911 1

    2 -0.514011 -0.90864 -0.672122 2

    3 -0.345998 -0.733229 -0.673326 3

    4 -0.495611 -0.577117 -0.618403 4

    5 -0.939872 -0.940162 -0.242356 5

    6 -0.763128 -0.676258 -0.517022 6

    7 -1 rr:502 -0.736288 7

    4-1$2-0$5 -0.637857 2.576474 -0.710019 4-1$2-0$5rr:502

    RM+

    1a calc 2a calc 3a calc 1* calc

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    A12 A21 A13 A31

    -190.5125 -269.1624 142.3913 628.714808846

    o!21 o!13 o!31 o!23 o!32

    0.7673896982 0.443574 0.468291 0.650395 0.558647

    2 3

    -0.7456 -2.32

    2a 3a 1b 2b 3b

    0.0003653556 0.955781 0.939659 0.000129 0.060212

    0.0133297066 0.940824 0.70686 0.151833 0.141307

    0.0212566046 0.953997 0.553487 0.252134 0.194379

    0.0249668508 0.947798 0.39665 0.373979 0.229371

    0.028568669 0.945455 0.341507 0.420493 0.238

    0.0294712297 0.94981 0.291045 0.461912 0.247043

    0.0553264736 0.944354 0.000135 0 0.193217

    0.0476989745 0.938221 0.080249 0.709651 0.210099

    ln 2a ln 3a ln 1* ln 2* ln 3*

    4.0678522775 0.004032 0.027815 1.010128 1.754887

    3.9737023178 0.003649 0.28276 0.716583 1.207939

    4.0482813897 8.95-005 0.553238 0.640703 0.937086

    4.0099381033 0.000231 0.860019 0.583142 0.759288

    3.994597179 -0.000122 0.975134 0.567342 0.713002

    4.0201412251 -0.000913 1.09047 0.56387 0.670766

    3.9786043604 -0.004832 1.655872 rr:502 0.706332

    3.944506656 -0.002615 1.476283 0.388276 0.685193

    1.0282058057 2.745952 5.782794

    1.3267866791 2.047425 3.346581

    1.7388740638 1.897814 2.552531

    1* 2* 3*

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    2.3632055119 1.791659 2.136755

    2.6515213094 1.763573 2.040107

    2.9756722519 1.75746 1.955734

    5.2376433649 rr:502 2.026544

    4.3766453002 1.474437 1.984154

    0 0.170529 0.70933 0.07013 0.22053 0.0293 0.01378

    0.1013884532 0.357038 0.68419 0.07942 0.23639 0.04432 0.0245

    0.1596913769 0.453359 0.65157 0.09459 0.25384 0.05039 0.0309

    0.2225639155 0.512335 0.53548 0.1121 0.35242 0.0538 0.0461

    0.2363304582 0.528944 0.32513 0.13597 0.5389 0.09857 0.07504

    0.2647335578 0.54101 0.77563 0.05173 0.17264 0.01408 0.005

    0 1 0.85481 0 0.14519 0.01408 0

    0.4327965592 0.512442

    6.566595-005 2.3176114021

    4.027694-005 1.5889079852

    1.800658-005 1.3050422904

    2.512660-006 0.9147680042

    0.0001734765 0.4509623047

    2.250133-005 1.5487284367

    0.5526876982 1.9731841756

    0.00040285410.0007252941

    0.0041555874

    0.0064556788

    2* calc 3* calc

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    A23 A32 *1 *2 *3 *4 *5 *6

    137.3623 -95.68495 0.655177 0.326463 0.090872 0.733904 0.447028 0.84784

    r1 0.92 >1 1.4r2 3.9228 >2 3.744

    r3 3.0613 >3 2.816

    am(el 1 2 3 4 5 6 7

    1 1.170789 -6.839042 -0.8348 -7.415287 -2.051046 2.816 1.460734

    2 1.159457 -6.751648 -0.8348 -7.310017 -2.033042 2.816 1.489893

    3 1.168739 -6.825145 -0.8348 -7.399316 -2.065521 2.816 1.436634

    4 1.164109 -6.789253 -0.8348 -7.355975 -2.05663 2.816 1.451122

    5 1.162273 -6.775263 -0.8348 -7.339205 -2.05516 2.816 1.453391

    6 1.165405 -6.799877 -0.8348 -7.369034 -2.064439 2.816 1.438082

    7 1.160487 -6.76413 -0.8348 -7.326901 -2.076157 2.816 1.416926

    4-1$2-0$5 1.156286 -6.730528 -0.8348 -7.28602 -2.057526 2.816 1.448411

    am(el 1 2 3 4 5 6 7

    1 1.295701 -7.916872 -0.7456 -8.401877 -1.778135 3.124 1.869388

    2 1.284369 -7.81992 -0.7456 -8.2826 -1.756983 3.124 1.90873

    3 1.293651 -7.901455 -0.7456 -8.38378 -1.764869 3.124 1.870963

    4 1.28902 -7.861637 -0.7456 -8.334673 -1.757034 3.124 1.887552

    5 1.287184 -7.846117 -0.7456 -8.315672 -1.752847 3.124 1.893388

    6 1.290317 -7.873423 -0.7456 -8.349469 -1.756413 3.124 1.881034

    7 1.285399 -7.833766 -0.7456 -8.301731 -1.737 3.124 1.8901594-1$2-0$5 1.281198 -7.796489 -0.7456 -8.255411 -1.735464 3.124 1.909477

    am(el 1 2 3 4 5 6 7

    1 -0.031432 0.123541 -2.32 -2.228486 -0.021287 1.4 1.41785

    2 -0.042764 0.166989 -2.32 -2.19685 -0.02631 1.4 1.423736

    3 -0.033482 0.13045 -2.32 -2.223686 -0.018264 1.4 1.418828

    ln 1a

    ln 2a

    ln 3a

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    4 -0.038112 0.148294 -2.32 -2.210661 -0.020638 1.4 1.42125

    5 -0.039949 0.155249 -2.32 -2.205621 -0.021127 1.4 1.422171

    6 -0.036816 0.143012 -2.32 -2.214586 -0.018797 1.4 1.420491

    7 -0.041734 0.160784 -2.32 -2.201924 -0.016652 1.4 1.422457

    4-1$2-0$5 -0.045935 0.177489 -2.32 -2.189638 -0.021132 1.4 1.424938

    *ea

    0.95692 0.402653

    0.93118 0.528099

    0.91871 0.365855

    0.9001 0.334399

    0.82639 0.817963

    0.98092 0.446597

    0.98592 0.11

    0.084908

    A=

    0.015283

    0.012946

    0.00852

    0.002931

    0.021145

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    *7

    0.65726

    ln 1*

    am(el 1 2 3 4 5 6

    1 0.13114 -0.544016 -0.8348 -1.249335 -0.147359 2.816

    2 0.270839 -1.204138 -0.8348 -1.780864 -0.443945 2.816

    3 0.352633 -1.619702 -0.8348 -2.128532 -0.641005 2.816

    4 0.398731 -1.872803 -0.8348 -2.347919 -0.8146 2.816

    5 0.408506 -1.930298 -0.8348 -2.399106 -0.870931 2.816

    6 0.419216 -1.992176 -0.8348 -2.454048 -0.924878 2.816

    7 0.303796 -1.463908 -0.8348 -2.022524 -1.080832 2.816

    4-1$2-0$5 0.340508 -1.628823 -0.8348 -2.155902 -1.039138 2.816

    ln 2*

    am(el 1 2 3 4 5 6

    1 0.256052 -0.933328 -0.7456 -1.415557 -0.691796 3.124

    2 0.39575 -1.665651 -0.7456 -2.017804 -0.724316 3.124

    3 0.477545 -2.126667 -0.7456 -2.411729 -0.743591 3.124

    4 0.523642 -2.407451 -0.7456 -2.660305 -0.723238 3.124

    5 0.533417 -2.471234 -0.7456 -2.718303 -0.708844 3.124

    6 0.544127 -2.53988 -0.7456 -2.780554 -0.698146 3.124

    7 rr:502 +/0 -0.7456 0 -0.424887 3.1244-1$2-0$5 0.465419 -2.136786 -0.7456 -2.442741 -0.50405 3.124

    ln 3*

    am(el 1 2 3 4 5 6

    1 -1.071081 3.25317 -2.32 -0.375458 -0.979048 1.4

    2 -0.931382 2.924984 -2.32 -0.535196 -0.735816 1.4

    3 -0.849588 2.718383 -2.32 -0.639679 -0.606192 1.4

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    4 -0.803491 2.592552 -2.32 -0.705611 -0.509962 1.4

    5 -0.793715 2.563967 -2.32 -0.720994 -0.481804 1.4

    6 -0.783006 2.533204 -2.32 -0.737505 -0.455694 1.4

    7 -0.898425 2.795837 -2.32 -0.607821 -0.400736 1.4

    4-1$2-0$5 -0.861713 2.713848 -2.32 -0.647904 -0.414286 1.4

    ;i

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    'om( 1 )aer

    'om( 2 Ter =!anol

    'om( 3 +M,

    r1 3.0613 >1 2.816 2 3.124 R

    r3 0.92 >3 1.4 T

    Trial

    A12 A21 A13 A31 A23

    -56.95059 -269.5459 188.3234 647.9811 72.43878

    o! ii 1

    28.54876

    '(erimenam(el

    7 1 0.00001 0.54274 0.45725 0.00001

    2.937202 2 0.19687 0.30386 0.49927 0.009282

    2.98995 3 0.2311 0.28316 0.48574 0.008152

    2.93043 4 0.28272 0.24331 0.47397 0.007757

    2.809628 5 0.40408 0.18707 0.40885 0.012045

    2.754312 6 0.56731 0.1389 0.29379 0.00673

    2.696696 7 0.85412 0.00001 0.14587 0.01408

    2.268573 4-1$2-0$5 0.07267 0.43693 0.4904 0.003852

    2.411643am(el 1a 2a 3a 1b

    1 1.21-005 0.725916 0.274072 1.98-005

    7 2 0.251694 0.430967 0.317339 0.018314

    2.798348 3 0.293751 0.399291 0.306958 0.016124

    3.134037 4 0.358654 0.342419 0.298927 0.015366

    3.243895 5 0.49588 0.254678 0.249442 0.023772

    3.294993 6 0.653988 0.177636 0.168377 0.013384

    3.300388 7 0.921727 1.20-005 0.078261 0.027923

    3.297477 4-1$2-0$5 0.090702 0.604995 0.304304 0.00761

    3.2174743.265548

    7 am(el 1 2 3

    0.861708 1 7.438315 0.54955 0.002381

    1.136674 2 0.016427 0.651608 0.002142

    1.25758 3 0.00034 0.706572 0.003135

    1a 2a 3a 1*

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    1.325345 4 0.012589 0.701471 0.006275

    1.340047 5 0.027023 0.577966 0.013371

    1.352632 6 0.125625 0.632327 0.006001

    1.279638 7 0.009238 0.01697

    1.309133 4-1$2-0$5 0.000979 4.21-005

    11.50035

    am(el K1 K2 K3

    0.5 0.05 0.45 1 15.29196 20.4757 0.48626 0

    0.25 0.05 0.7 2 24.11077 16.65421 0.485143 0.198616

    0.1 0.05 0.85 3 27.83098 17.3238 0.466382 0.216436

    0.4 0.1 0.5 4 32.57808 17.16234 0.444042 0.285403

    0.2 0.1 0.7 5 39.54115 15.37723 0.370779 0.403374

    6 59.13507 16.37022 0.274792 0.584663

    7 66.78188 rr:502 0.16854 0.853356

    4-1$2-0$5 19.46487 37.11318 0.494878 0.071042

    am(el 1 2 3

    1 -1 -0.825453 -0.467415

    2 -0.992291 -0.983533 0.022769

    3 -0.992394 -0.983775 0.012193

    4 -0.986336 -0.979095 -0.148044

    5 -0.973054 -0.970712 -0.32899

    6 -0.992262 -0.994831 0.164641

    7 -0.982545 rr:502 -0.231483

    4-1$2-0$5 -0.992433 -0.974553 -0.227967rr:502

    1a calc

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    A12 A21

    -56.95059 -269.5459

    10

    8.314 ?/mol.K

    313.15K

    A32 o!12 o!21 o!13 o!31 o!23 o!32

    -7.364078 0.832092 0.773905 0.455239 0.479775 0.659391 0.569131

    1 2 3

    -0.8348 -0.7456 -2.32

    1a 2a 3a 1b 2b 3b

    0.01263 0.98736 1.33-005 0.817345 0.182642 3.21-005 0.046007 0.953961

    0.008139 0.982579 0.284823 0.498101 0.217076 0.029579 0.029389 0.941032

    0.007052 0.984796 0.331131 0.459706 0.209163 0.02612 0.025603 0.948278

    6.14-03 0.986107 0.4034 0.393358 0.203242 0.024938 0.022349 0.952714

    5.69-03 0.982267 0.54686 0.286854 0.166286 0.038398 0.020545 0.941056

    3.83-03 0.989439 0.697814 0.193584 0.108602 0.021822 0.014074 0.964104

    0.00001 0.98591 0.951169 1.26-005 0.048819 0.045363 0 0.9546

    0.011605 0.984543 0.101621 0.692288 0.206091 0.012311 0.042027 0.945661

    2b 3b ln 1a ln 2a ln 3a ln 1* ln 2* ln 3*

    0.027751 0.972229 1.586267 0.935612 0.716754 4.313594 3.95485 -0.004259

    0.017816 0.96387 1.004562 1.072047 0.723732 4.18722 3.884709 0.00042

    0.015475 0.968401 0.902722 1.076195 0.762821 4.228872 3.928277 7.04-005

    0.013483 0.971151 0.768747 1.112645 0.811912 4.252386 3.955362 7.68-005

    0.012453 0.963775 0.490905 1.155365 0.994257 4.168247 3.888253 0.002108

    0.008451 0.978165 0.233307 1.229642 1.291974 4.313132 4.025106 0.000233

    2.20-005 0.972055 0.015931 1.611948 1.784733 4.217363 rr:502 0.004151

    0.025434 0.966956 1.373115 0.376842 0.700781 4.341726 3.990814 -0.002664

    4.885476 2.548772 2.047775 74.70852 52.18789 0.99575

    2.73071 2.921352 2.062115 65.83953 48.6528 1.00042

    2.466307 2.933498 2.144318 68.63976 50.81934 1.00007

    2* 3*

    1a 2a 3a 1* 2* 3*

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    A13 A31 A23 A32 *1 *2 *3 *4

    188.3234 647.9811 72.43878 -7.364078 0.655177 0.326463 0.090872 0.733904

    r1 0.92 >1 1.4r2 3.9228 >2 3.744

    r3 3.0613 >3 2.816

    am(el 1 2 3 4 5

    1 0.284519 -1.372975 -0.8348 -1.947823 -1.0315

    2 0.369324 -1.741064 -0.8348 -2.241331 -0.857546

    3 0.359663 -1.686519 -0.8348 -2.193636 -0.809981

    4 0.355473 -1.655404 -0.8348 -2.164591 -0.746734

    5 0.30258 -1.377849 -0.8348 -1.928975 -0.584183

    6 0.207046 -0.913278 -0.8348 -1.548309 -0.384909

    7 0.10762 -0.442706 -0.8348 -1.170915 -0.117056

    4-1$2-0$5 0.335318 -1.600452 -0.8348 -2.131374 -0.984723

    am(el 1 2 3 4 5

    1 0.409431 -1.852954 -0.7456 -2.206977 -0.392583

    2 0.494235 -2.261303 -0.7456 -2.539536 -0.616126

    3 0.484575 -2.200792 -0.7456 -2.485495 -0.625993

    4 0.480384 -2.166273 -0.7456 -2.452586 -0.654513

    5 0.427491 -1.858362 -0.7456 -2.185621 -0.661144

    6 0.331958 -1.342978 -0.7456 -1.754308 -0.628958

    7 0.232531 -0.820937 -0.7456 -1.326703 -0.6524584-1$2-0$5 0.460229 -2.105311 -0.7456 -2.414949 -0.507676

    am(el 1 2 3 4 5

    1 -0.917702 2.841046 -2.32 -0.585371 -0.397649

    2 -0.832897 2.658047 -2.32 -0.673578 -0.467518

    3 -0.842558 2.685164 -2.32 -0.659244 -0.49142

    ln 1a

    ln 2a

    ln 3a

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    4 -0.846749 2.700634 -2.32 -0.650516 -0.523577

    5 -0.899641 2.838622 -2.32 -0.579707 -0.617997

    6 -0.995175 3.069588 -2.32 -0.465307 -0.754846

    7 -1.094602 3.303537 -2.32 -0.35189 -0.976369

    4-1$2-0$5 -0.866903 2.727953 -2.32 -0.640533 -0.425294

    *ea

    0.49948 0.12018 0.38034 0.906307

    0.19789 0.10679 0.69532 0.481999

    0.61679 0.0955 0.28771 0.494028

    0.64611 0.08455 0.26934 0.616263

    0.78434 0.04065 0.17501 0.737077

    0.70935 0.06479 0.22586 0.436931

    0.82417 0 0.17583 0.579693

    0.693521

    A=

    1.070465 0.030534

    0.35224 0.04187

    1.151401 0.048371

    1.233661 0.032324

    1.727576 0.017052

    1.783431

    2.72544

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    *5 *6 *7

    0.447028 0.84784 0.65726

    ln 1*

    6 7 am(el 1 2 3 4

    2.816 2.285801 1 1.167809 -6.820452 -0.8348 -7.394688

    2.816 2.703775 2 1.159018 -6.749911 -0.8348 -7.308611

    2.816 2.755238 3 1.164434 -6.791866 -0.8348 -7.359166

    2.816 2.823848 4 1.16777 -6.817661 -0.8348 -7.390283

    2.816 2.928183 5 1.159361 -6.75166 -0.8348 -7.310341

    2.816 2.974878 6 1.176283 -6.883666 -0.8348 -7.47017

    2.816 2.918154 7 1.169949 -6.832407 -0.8348 -7.407216

    2.816 2.459049 4-1$2-0$5 1.161929 -6.773994 -0.8348 -7.33825

    ln 2*

    6 7 am(el 1 2 3 4

    3.744 3.218825 1 1.29272 -7.896249 -0.7456 -8.378537

    3.744 3.314948 2 1.283929 -7.817992 -0.7456 -8.281008

    3.744 3.317474 3 1.289346 -7.864537 -0.7456 -8.338289

    3.744 3.306965 4 1.292682 -7.893153 -0.7456 -8.373546

    3.744 3.258929 5 1.284273 -7.819933 -0.7456 -8.282968

    3.744 3.141004 6 1.301194 -7.966377 -0.7456 -8.464062

    3.744 2.777207 7 rr:502 +/0 -0.7456 03.124 3.279101 4-1$2-0$5 1.28684 -7.844709 -0.7456 -8.31459

    ln 3*

    6 7 am(el 1 2 3 4

    1.4 1.26961 1 -0.034412 0.132783 -2.32 -2.222295

    1.4 1.322513 2 -0.043204 0.167853 -2.32 -2.196427

    1.4 1.310449 3 -0.037787 0.146994 -2.32 -2.21162

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    1.4 1.296065 4 -0.034451 0.13417 -2.32 -2.220972

    1.4 1.222428 5 -0.04286 0.166983 -2.32 -2.196947

    1.4 1.082592 6 -0.025938 0.101355 -2.32 -2.24498

    1.4 0.832462 7 -0.032272 0.126839 -2.32 -2.22606

    1.4 1.306097 4-1$2-0$5 -0.040292 0.15588 -2.32 -2.205334

    ;i

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    5 6 7

    -2.020614 2.816 1.430265

    -1.982809 2.816 1.494507

    -1.993237 2.816 1.477299

    -1.998844 2.816 1.46805

    -1.975633 2.816 1.506628

    -2.013263 2.816 1.444119

    -1.984148 2.816 1.492742

    -2.067184 2.816 1.432843

    5 6 7

    -1.695843 3.124 1.894401

    -1.692995 3.124 1.933631

    -1.701519 3.124 1.91474

    -1.707219 3.124 1.903332

    -1.697701 3.124 1.935156

    -1.721765 3.124 1.873937

    -1.720727 3.124 1.901949-1.745581 3.124 1.889887

    5 6 7

    -0.013311 1.4 1.418236

    -0.022645 1.4 1.423302

    -0.019816 1.4 1.420573

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    -0.018267 1.4 1.418882

    -0.024278 1.4 1.42324

    -0.01431 1.4 1.414474

    -0.02147 1.4 1.417946

    -0.018498 1.4 1.422085

    1 0.5 0.05 0.45

    1 0.2 0.1 0.7

    1 0.05 0.03 0.965

    1 0.4 0.1 0.5

    1 0.2 0.1 0.7

    1

    1

    1