tugas 2 sifattermodinamikahidrokarbon_danar aditya_1206263401.docx
DESCRIPTION
Tugas 2 STHTRANSCRIPT
50.0 100.0 150.0 200.0 250.0 300.0 350.0-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
Deviation Plot for HT Model Predictions of Liquid Density
NitrogenMethaneAmmonia
Temperature, K
% D
evia
tion
50.0 100.0 150.0 200.0 250.0 300.0 350.0-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
Deviation Plot for PR-EOS Model Predictions of Liquid Density
NitrogenMethaneAmmonia
Temperature, K
% D
evia
tion
Parameters H-T: a b c d e f gR= 0.008314 -1.52816 1.4391 -0.81446 0.190454 -0.296123 0.386914 -0.042726Nitrogen
T P(MPa) v(L/mol) Tr Vro VRd vcalc0.0000 0 1 0 0 0
Tc (K) 126.2 63.14 0.0125 0.032256 0.500341 0.36208 0.238659 0.032345wSRK 0.0358 65.00 0.0174 0.032536 0.515055 0.365258 0.236605 0.032631V* 0.0901 70.00 0.0386 0.033292 0.554675 0.374297 0.23097 0.033445ZRA 0.29 75.00 0.0761 0.034188 0.594295 0.384143 0.225185 0.034332
77.35 0.1013 0.034636 0.612892 0.389089 0.222417 0.03477880.00 0.1370 0.035168 0.633914 0.394962 0.219248 0.03530785.00 0.2291 0.036288 0.673534 0.406977 0.21316 0.036389
AAPD= 0.572646 90.00 0.3608 0.03752 0.713154 0.420493 0.206922 0.037606RMSE 0.000547 95.00 0.5411 0.038976 0.752773 0.435952 0.200532 0.038997
100.00 0.7790 0.040656 0.792393 0.454018 0.19399 0.040623105.00 1.0843 0.042672 0.832013 0.475767 0.187297 0.042579110.00 1.4673 0.045164 0.871632 0.503102 0.180452 0.045037115.00 1.9395 0.050316 0.911252 0.539939 0.173452 0.048346120.00 2.5135 0.053312 0.950872 0.596761 0.166288 0.053448125.00 3.2079 0.065044 0.990491 0.733479 0.158801 0.065711
Methane 103.70 0.0500 0.03697 0.544174 0.371828 0.232478 0.036896Tc (K) 190.564 114.47 0.1000 0.03794 0.600691 0.385819 0.224236 0.038287wSRK 0.0074 135.32 0.5000 0.04153 0.710103 0.41939 0.207407 0.041623V* 0.0994 149.11 1.0000 0.04457 0.782467 0.449198 0.195643 0.044586ZRA 0.2892 158.46 1.5000 0.04718 0.831532 0.475474 0.187379 0.047197
165.84 2.0000 0.04979 0.870259 0.502028 0.180692 0.049835AAPD= 0.239359 177.25 3.0000 0.05586 0.930134 0.563295 0.170059 0.055921RMSE 0.00015 186.09 4.0000 0.06558 0.976522 0.662574 0.161532 0.065781Ammonia 223.00 0.0409 0.024208 0.549938 0.373176 0.231652 0.024572Tc (K) 405.5 233.00 0.0718 0.024633 0.574599 0.379138 0.228079 0.024989wSRK 0.262 243.00 0.1196 0.025092 0.59926 0.385442 0.224449 0.025431V* 0.0701 253.00 0.1902 0.025568 0.623921 0.392131 0.22076 0.025898ZRA 0.2465 263.00 0.2909 0.026078 0.648582 0.399257 0.217012 0.026397
273.00 0.4294 0.026622 0.673243 0.406884 0.213206 0.026929AAPD= 1.081159 283.00 0.6150 0.027217 0.697904 0.415089 0.209341 0.027502RMSE 0.000292 293.00 0.8571 0.027863 0.722565 0.423969 0.205417 0.028121
303.00 1.1665 0.02856 0.747226 0.433649 0.201435 0.028794313.00 1.5543 0.029342 0.771887 0.444288 0.197395 0.029534323.00 2.0326 0.030209 0.796547 0.456102 0.193296 0.030354
EthaneTc (K) 305.32wSRK 0.0983V* 0.1458ZRA 0.2808
PropaneTc (K) 369.83wSRK 0.1532V* 0.2001
ZRA 0.2766
CO2Tc (K) 304.15wSRK 0.2373V* 0.0938ZRA 0.2722
AAPD=RMSE
0 2 4 6 8 10 120
2
4
6
8
10
12f(x) = 0.NaN x + 0.NaNR² = 0.0000000f(x) = 0.NaN x + 0.NaNR² = 0.0000000
CO2
Linear (CO2)
CH4
Linear (CH4)
h-0.0480645
APD SE Err WSE %DEV0
0.2749445246 7.865225E-09 0.000645 0.018899 0.2749450.2919267357 9.021444E-09 0.000651 0.021305 0.2919270.4604058159 2.349424E-08 0.000666 0.052993 0.4604060.4219746826 2.08123E-08 0.000684 0.044516 0.4219750.4092172559 2.008923E-08 0.000693 0.041865 0.4092170.3946857397 1.92663E-08 0.000703 0.038944 0.3946860.2777958158 1.016196E-08 0.000726 0.019293 0.2777960.2286601596 7.360489E-09 0.00075 0.013071 0.228660.0546232025 4.532615E-10 0.00078 0.000746 0.0546230.0812430188 1.090992E-09 0.000813 0.00165 -0.0812430.2176149543 8.623101E-09 0.000853 0.011839 -0.2176150.2819538441 1.621589E-08 0.000903 0.019874 -0.2819543.9143451319 3.879095E-06 0.001006 3.830524 -3.9143450.2552113883 1.851186E-08 0.001066 0.016283 0.2552111.0250930676 4.445709E-07 0.001301 0.262704 1.025093
0.199791193 5.455714E-09 0.000739 0.009979 -0.2000.9139305736 1.202323E-07 0.000759 0.208817 0.9140.2248827989 8.722407E-09 0.000831 0.012643 0.225
0.035121593 2.450381E-10 0.000891 0.000308 0.0350.035182944 2.755372E-10 0.000944 0.000309 0.035
0.0899970617 2.007895E-09 0.000996 0.002025 0.0900.1092422922 3.723775E-09 0.001117 0.002983 0.1090.3067250526 4.046144E-08 0.001312 0.02352 0.307
1.503477316 1.324682E-07 0.000484 0.565111 1.5031.4467817643 1.270108E-07 0.000493 0.523294 1.4471.3493153606 1.146298E-07 0.000502 0.455163 1.3491.2924868063 1.092058E-07 0.000511 0.417631 1.2921.2217264363 1.015071E-07 0.000522 0.373154 1.2221.1542387678 9.442189E-08 0.000532 0.333067 1.154
1.046351259 8.110274E-08 0.000544 0.273713 1.0460.9249295497 6.641605E-08 0.000557 0.213874 0.9250.8209196404 5.496898E-08 0.000571 0.168477 0.8210.6540173164 3.682629E-08 0.000587 0.106935 0.6540.4785055797 2.089521E-08 0.000604 0.057242 0.479
0.660.000406
0 2 4 6 8 10 120
2
4
6
8
10
12f(x) = 0.NaN x + 0.NaNR² = 0.0000000f(x) = 0.NaN x + 0.NaNR² = 0.0000000
CO2
Linear (CO2)
CH4
Linear (CH4)
optimized Parameters Physical Properties
13X 5A M
0.072416 0 8.5 -8.5
Parameters PR: a b c d eTUGAS 2 DANAR ADITYA SISWOSOEBROTHO/1206263401R= 0.008314 0.45724 0.0778 0.37464 1.54226 -0.26992
NitrogenT P(MPa) v(L/mol) Tr alfa a b
0.0000 0 1 0 0Tc (K) 126.2 63.14 0.0125 0.032256 0.500341 1.267192 0.187692 0.02402Pc(MPa) 3.398447 65.00 0.0174 0.032536 0.515055 1.257227 0.186216 0.02402w 0.0358 70.00 0.0386 0.033292 0.554675 1.231268 0.182371 0.02402
75.00 0.0761 0.034188 0.594295 1.206478 0.178699 0.0240277.35 0.1013 0.034636 0.612892 1.195211 0.17703 0.0240280.00 0.1370 0.035168 0.633914 1.182741 0.175183 0.0240285.00 0.2291 0.036288 0.673534 1.15996 0.171809 0.02402
AAPD= 9.567384 90.00 0.3608 0.03752 0.713154 1.138052 0.168564 0.02402RMSE 0.004033 95.00 0.5411 0.038976 0.752773 1.116944 0.165438 0.02402
100.00 0.7790 0.040656 0.792393 1.096576 0.162421 0.02402105.00 1.0843 0.042672 0.832013 1.076891 0.159505 0.02402110.00 1.4673 0.045164 0.871632 1.057841 0.156683 0.02402115.00 1.9395 0.050316 0.911252 1.039384 0.15395 0.02402120.00 2.5135 0.053312 0.950872 1.021481 0.151298 0.02402125.00 3.2079 0.065044 0.990491 1.004098 0.148723 0.02402
Methane 103.70 0.0500 0.03697 0.544174 1.212784 0.299936 0.02656Tc (K) 190.564 114.47 0.1000 0.03794 0.600691 1.181226 0.292131 0.02656Pc(MPa) 4.64089 135.32 0.5000 0.04153 0.710103 1.125155 0.278264 0.02656w 0.0074 149.11 1.0000 0.04457 0.782467 1.091105 0.269843 0.02656
158.46 1.5000 0.04718 0.831532 1.06919 0.264423 0.02656165.84 2.0000 0.04979 0.870259 1.052496 0.260295 0.02656
AAPD= 7.895347 177.25 3.0000 0.05586 0.930134 1.027648 0.254149 0.02656RMSE 0.00393 186.09 4.0000 0.06558 0.976522 1.009138 0.249572 0.02656Ammonia 223.00 0.0409 0.024208 0.549938 1.431488 0.652462 0.023004Tc (K) 405.5 233.00 0.0718 0.024633 0.574599 1.40173 0.638899 0.023004Pc(MPa) 11.40193 243.00 0.1196 0.025092 0.59926 1.372907 0.625761 0.023004w 0.262 253.00 0.1902 0.025568 0.623921 1.344961 0.613024 0.023004
263.00 0.2909 0.026078 0.648582 1.317842 0.600663 0.023004273.00 0.4294 0.026622 0.673243 1.291502 0.588657 0.023004
AAPD= 11.4852 283.00 0.6150 0.027217 0.697904 1.265898 0.576987 0.023004RMSE 0.003094 293.00 0.8571 0.027863 0.722565 1.240993 0.565636 0.023004
303.00 1.1665 0.02856 0.747226 1.21675 0.554586 0.023004313.00 1.5543 0.029342 0.771887 1.193138 0.543824 0.023004323.00 2.0326 0.030209 0.796547 1.170126 0.533335 0.023004
EthaneTc (K) 305.32 260.00 1.7118 0.070 0.851566 1.08248 0.65459 0.040534Pc(MPa) 4.8722 265.00 1.9493 0.0718 0.867942 1.072879 0.648785 0.040534wSRK 0.0983 270.00 2.2100 0.0738 0.884318 1.063411 0.643059 0.040534AAPD= 1.973709 275.00 2.4952 0.0760 0.900694 1.054071 0.637411 0.040534RMSE 0.00174 280.00 2.8067 0.0786 0.917071 1.044857 0.631839 0.040534
285.00 3.1463 0.0817 0.933447 1.035764 0.62634 0.040534PropaneTc (K) 369.83 310.00 1.2724 0.0932 0.838223 1.104726 1.123341 0.05627Pc(MPa) 4.2512 315.00 1.4288 0.0950 0.851743 1.0954 1.113858 0.05627wSRK 0.1532 320.00 1.5989 0.0969 0.865262 1.086187 1.104489 0.05627
AAPD= 1.680668 325.00 1.7833 0.0990 0.878782 1.077083 1.095232 0.05627RMSE 0.001481 330.00 1.9828 0.1014 0.892302 1.068088 1.086085 0.05627
335.00 2.1985 0.104 0.905822 1.059197 1.077045 0.05627340.00 2.4311 0.107 0.919341 1.050409 1.068109 0.05627
CO2Tc (K) 304.15 270.00 3.2033 0.047 0.88772 1.085633 0.430255 0.026667Pc(MPa) 7.3773 273.00 3.4713 0.047 0.897583 1.077757 0.427133 0.026667wSRK 0.2373 276.00 3.7555 0.048 0.907447 1.069952 0.42404 0.026667AAPD= 3.319373 279.00 4.0565 0.049 0.917311 1.062217 0.420975 0.026667RMSE 0.002007 282.00 4.3752 0.051 0.927174 1.054552 0.417937 0.026667
285.00 4.7123 0.052 0.937038 1.046955 0.414926 0.026667288.00 5.0688 0.054 0.946901 1.039425 0.411942 0.026667
0 2 4 6 8 10 120
2
4
6
8
10
12f(x) = 0.NaN x + 0.NaNR² = 0.0000000f(x) = 0.NaN x + 0.NaNR² = 0.0000000
CO2
Linear (CO2)
CH4
Linear (CH4)
TUGAS 2 DANAR ADITYA SISWOSOEBROTHO/1206263401
vcalc F(v)=0 APD SE Err WSE %DEV0 0
0.02851 0 11.614360438 1.403497E-05 0.000645 33.7233421 -11.614360.028752 0 11.629376257 1.431664E-05 0.000651 33.810598 -11.629380.029464 0 11.498620173 1.465451E-05 0.000666 33.0545665 -11.498620.030275 0 11.445464061 1.531138E-05 0.000684 32.7496619 -11.445460.030696 0 11.37435096 1.552061E-05 0.000693 32.3439649 -11.374350.031209 0 11.258046564 1.56755E-05 0.000703 31.6859031 -11.258050.032296 0 10.999812164 1.593297E-05 0.000726 30.2489669 -10.999810.033582 0 10.496783746 1.551094E-05 0.00075 27.5456173 -10.496780.035128 0 9.873103826 1.480819E-05 0.00078 24.3695448 -9.8731040.037032 0 8.913887139 1.313359E-05 0.000813 19.864346 -8.9138870.039451 -3.836931E-13 7.5476170422 1.037303E-05 0.000853 14.2416308 -7.5476170.042666 0 5.5304216776 6.238803E-06 0.000903 7.64639098 -5.5304220.047251 0 6.0908400884 9.392184E-06 0.001006 9.27458325 -6.090840.054724 0 2.6493816845 1.994982E-06 0.001066 1.75480583 2.6493820.073232 0 12.588700453 6.704653E-05 0.001301 39.6188448 12.58870.032544 0 11.972385926 1.959117E-05 0.000739 35.8345062 -11.9720.033845 0 10.792898926 1.67676E-05 0.000759 29.1216668 -10.7930.037285 0 10.22216768 1.802229E-05 0.000831 26.123178 -10.2220.040697 0 8.6900348423 1.500128E-05 0.000891 18.8791764 -8.6900.043949 0 6.8476074627 1.043743E-05 0.000944 11.722432 -6.8480.047444 0 4.7115015964 5.503043E-06 0.000996 5.54956182 -4.7120.056145 3.2684966E-13 0.5098524812 8.111309E-08 0.001117 0.06498739 0.5100.071755 0 9.4163243237 3.813341E-05 0.001312 22.1667909 9.4160.027141 0 12.117713167 8.605164E-06 0.000484 36.7097431 12.118
0.02754 0 11.801734709 8.451354E-06 0.000493 34.8202355 11.8020.027977 0 11.495765772 8.320441E-06 0.000502 33.0381577 11.4960.028456 0 11.296133139 8.341672E-06 0.000511 31.900656 11.2960.028986 0 11.150810345 8.455931E-06 0.000522 31.0851428 11.1510.029574 0 11.08845725 8.714122E-06 0.000532 30.738471 11.0880.030231 0 11.07300216 9.082623E-06 0.000544 30.6528442 11.0730.030969 0 11.148592285 9.6493E-06 0.000557 31.0727775 11.1490.031807 0 11.367779767 1.054066E-05 0.000571 32.3066042 11.3680.032765 0 11.665372586 1.171593E-05 0.000587 34.0202294 11.6650.033874 0 12.131810828 1.343148E-05 0.000604 36.7952085 12.132
0.068 0.00020503736 3.0894985382 4.687613E-06 0.001402 2.3862503 -3.0890.0703 0.00016381695 2.1623178356 2.410796E-06 0.001436 1.16890461 -2.1620.0730 0.0001290783 1.0787986859 6.330017E-07 0.001475 0.29095165 -1.0790.0761 9.9901985E-05 0.2004134664 2.318253E-08 0.001519 0.01004139 0.2000.0799 7.5579067E-05 1.7286360095 1.844443E-06 0.001571 0.74704561 1.7290.0846 5.5403456E-05 3.5825875725 8.563402E-06 0.001634 3.20873343 3.583
0.0907 0.00019028243 2.705858615 6.364557E-06 0.001865 1.83041771 -2.7060.0931 1.8861802E-05 2.0484895349 3.787249E-06 0.0019 1.04907734 -2.0480.0957 0.00013818116 1.2974871747 1.581596E-06 0.001939 0.42086824 -1.297
0.0986 0.00012709366 0.4379977453 1.881991E-07 0.001981 0.04796051 -0.4380.1020 -8.145955E-05 0.5514577878 3.126803E-07 0.002028 0.07602642 0.5510.106 -0.0004419714 1.6956041048 3.11267E-06 0.002081 0.71876832 1.6960.110 -5.482683E-05 3.0277785642 1.051347E-05 0.002142 2.29186076 3.028
0.047 -0.000116921 0.6625953561 9.505644E-08 0.000931 0.10975815 0.6630.048 1.3118928E-05 1.3727654569 4.235236E-07 0.000948 0.47112125 1.3730.049 1.1289782E-05 2.1670673227 1.098654E-06 0.000967 1.1740452 2.1670.051 0.00040957669 3.0673546808 2.298749E-06 0.000989 2.35216618 3.0670.053 -5.96629E-05 4.0891941691 4.283678E-06 0.001012 4.18037724 4.0890.055 1.6883813E-05 5.2609942423 7.471775E-06 0.001039 6.9195151 5.2610.057 -0.0002062866 6.6156399218 1.25304E-05 0.00107 10.9416729 6.616
AAPD= 7.03RMSE 0.003177
0 2 4 6 8 10 120
2
4
6
8
10
12f(x) = 0.NaN x + 0.NaNR² = 0.0000000f(x) = 0.NaN x + 0.NaNR² = 0.0000000
CO2
Linear (CO2)
CH4
Linear (CH4)
optimized Parameters Physical Properties
A B Koef 1 Koef 2 Koef 3 Z F(Z)=0 v
0.008533 0.000573 -0.999427 0.007386 -4.5634E-06 0.00068 2.604897E-13 0.02851
13X 5A
M 0.072416 0 8.5
-8.5