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Dados e perfis Prática 5 - Destilação Calibração do picnômetro: Massa de agua Massa picnômetro vazio: 16.67 5.5 Massa picnômetro + água: 22.17 Temperatura ambiente: 25 Temperatura em cada estágio Tempo Temperatura (°C) (min) 9 8 7 6 5 4 3 2 1 0 30 25 25 25 25 25 25 25 25 15 88 76 66 69 65 58 60 59 60 30 90 82 79 76 75 74 74 74 75 45 95 90 86 85 82 76 75 73 72 Massa em cada estágio Estágio Massa picnômetro + líquido Massa da mistura Densidade Fração Molar x Etanol Fração Molar x Água Balão (alimentação) 21.93 5.26 0.956 0.136491866 0.863508134 Balão (final) 22.07 5.4 0.982 0.053824090 0.946175910 Destilado (final) 21.12 4.45 0.809 0.838394618 0.161605382 1 21.18 4.51 0.820 0.753649664 0.246350336 2 21.23 4.56 0.829 0.690430935 0.309569065 3 21.34 4.67 0.849 0.570552917 0.429447083 4 21.44 4.77 0.867 0.478978121 0.521021879 5 21.72 5.05 0.918 0.271288441 0.728711559 6 21.93 5.26 0.956 0.136491866 0.863508134 7 22.05 5.38 0.978 0.065127632 0.934872368 8 22.05 5.38 0.978 0.065127632 0.934872368 Estágio Massa picnômetro + líquido Massa da mistura Densidade Fração Molar x Etanol Fração Molar x Água Fundo - Balão Início 21.93 5.26 0.956 0.1365 0.8635 Final 22.07 5.4 0.982 0.0538 0.9462 Topo - Destilado Início - - - - - Final 21.12 4.45 0.809 0.8384 0.1616 A curva de calibração usada nos cálculos foi obtida na disciplina termodinâmica experimental: y = 426,582x4 - 1603,47x3 + 2263,83x2 - 1426,28x + 339,339 Parâmetros Potência a 426.58 4.00 b 1,603.47 3.00 c 2,263.83 2.00 d 1,426.28 1.00 e 339.34 - TermoExp Massa das soluções (g) Identificação Volume de água (mL) Volume de etanol (mL) 1ª medida - M3 (g) 2ª medida - M3 (g) Densidade - 1ª MEDIDA Densidade - 2ª MEDIDA Diferença das densidades Cálculo de Pureza do Etanol Solução 1 10.00 0.00 6.0536 6.0581 M2 1.0000 1.0000 0.0000 Substância Fração Mássica Volume Fração Volumétrica Solução 2 9.00 1.00 5.9706 5.9795 M3 0.9863 0.9870 -0.0007 Etanol 0.928 118.217 0.942 Solução 3 8.00 2.00 5.9023 5.9141 M3 0.9750 0.9762 -0.0012 Água 0.072 7.222 0.058 Solução 4 7.00 3.00 5.8284 5.8388 M3 0.9628 0.9638 -0.0010 Solução 5 6.00 4.00 5.7439 5.7872 M3 0.9488 0.9553 -0.0064 ρ água (25°C) g/cm³ 0.997 Solução 6 5.00 5.00 5.6514 5.6446 M3 0.9336 0.9317 0.0018 ρ etanol (25°C) g/cm³ 0.785 Solução 7 4.00 6.00 5.5140 5.5237 M3 0.9109 0.9118 -0.0009 MM Água (g/mol) 18.015 Solução 8 3.00 7.00 5.4002 5.4003 M3 0.8921 0.8914 0.0006 MM Etanol (g/mol) 46.068 Solução 9 2.00 8.00 5.2349 5.2443 M3 0.8648 0.8657 -0.0009 Grau de Pureza Álcool (I.N.P.M) 92.8º Solução 10 1.00 9.00 5.0814 5.0670 M3 0.8394 0.8364 0.0030 Solução 11 0.00 10.00 4.8951 4.9061 M3 0.8086 0.8098 -0.0012 92.8º = 92.8 g em 100 g de mistura Incerteza das densidades 0.0017 0.0023 Identificação Volume de etanol corrigido (mL) Volume de água corrigido (mL) Volume total de água (mL) Massa total de água (g) Massa total de etanol (g) Número de mols de água Número de mols de etanol Fração molar de água Fração molar de etanol Solução 1 0.00 0.00 10.00 9.9700 0.0000 0.5534 0.0000 1.0000 0.0000 1 1.0023 0.9977 0 Solução 2 0.94 0.06 9.06 9.0304 0.7398 0.5013 0.0161 0.9690 0.0310 0.9900285473 0.9923 0.9877 -0.0003216598 Solução 3 1.88 0.12 8.12 8.0908 1.4796 0.4491 0.0321 0.9333 0.0667 0.9788810261 0.9812 0.9766 -0.0010252905 Solução 4 2.83 0.17 7.17 7.1512 2.2194 0.3970 0.0482 0.8918 0.1082 0.9694523743 0.9718 0.9671 -0.0006634233 Solução 5 3.77 0.23 6.23 6.2116 2.9592 0.3448 0.0642 0.8430 0.1570 0.954666077 0.9570 0.9523 -0.0012464316 Solução 6 4.71 0.29 5.29 5.2720 3.6990 0.2926 0.0803 0.7847 0.2153 0.9382212215 0.9405 0.9359 -0.0016082988 Solução 7 5.65 0.35 4.35 4.3324 4.4388 0.2405 0.0964 0.7139 0.2861 0.9200977042 0.9224 0.9178 -0.0012263279 Solução 8 6.60 0.40 3.40 3.3928 5.1786 0.1883 0.1124 0.6262 0.3738 0.8997929315 0.9021 0.8975 -0.0017088175 Solução 9 7.54 0.46 2.46 2.4532 5.9185 0.1362 0.1285 0.5146 0.4854 0.8767942584 0.8791 0.8745 -0.0003417635 Solução 10 8.48 0.52 1.52 1.5136 6.6583 0.0840 0.1445 0.3676 0.6324 0.8465180331 0.8488 0.8442 -0.0019902698 Solução 11 9.42 0.58 0.58 0.5740 7.3981 0.0319 0.1606 0.1656 0.8344 0.8285855012 0.8309 0.8263 -0.0019902698 Ajustes Polinomiais Incerteza expandida da fração molar associada a massa Identificação Fração molar de Etanol Média das densidades Ajuste de 1ª ordem Ajuste de 2ª ordem Ajuste de 3ª ordem Ajuste de 4ª ordem Resíduo 1ª ordem Resíduo 2ª ordem Resíduo 3ª ordem Residuo 4 INCERTEZA ÁGUA INCERTEZA ETANOL Solução 1 0.0000 1.0000 -0.0436 0.0070 -0.0130 0.0010 0.0436 -0.0070 0.0130 -0.0010 0.0000288863 0 Solução 2 0.0310 0.9867 0.0124 0.0388 0.0316 0.0391 0.0186 -0.0078 -0.0006 -0.0081 0.0000308718 0.0000042122 Solução 3 0.0667 0.9756 0.0587 0.0680 0.0676 0.0732 0.0080 -0.0012 -0.0009 -0.0065 0.0000331467 0.0000045965 Solução 4 0.1082 0.9633 0.1105 0.1035 0.1073 0.1132 -0.0022 0.0047 0.0009 -0.0050 0.0000357762 0.0000051376 Solução 5 0.1570 0.9521 0.1576 0.1387 0.1437 0.1511 -0.0006 0.0183 0.0134 0.0059 0.000038845 0.0000059496 Solução 6 0.2153 0.9327 0.2391 0.2058 0.2082 0.2189 -0.0238 0.0095 0.0071 -0.0036 0.0000424632 0.0000072474 Solução 7 0.2861 0.9113 0.3286 0.2887 0.2844 0.2968 -0.0426 -0.0027 0.0017 -0.0107 0.0000467701 0.000009451 Solução 8 0.3738 0.8917 0.4108 0.3732 0.3618 0.3729 -0.0371 0.0006 0.0120 0.0009 0.000051927 0.0000134447 Solução 9 0.4854 0.8652 0.5222 0.5006 0.4830 0.4887 -0.0368 -0.0151 0.0024 -0.0033 0.0000580463 0.0000213612 Solução 10 0.6324 0.8379 0.6369 0.6472 0.6335 0.6347 -0.0045 -0.0148 -0.0011 -0.0023 0.0000647826 0.0000397156 Solução 11 0.8344 0.8092 0.7572 0.8179 0.8272 0.8372 0.0772 0.0165 0.0072 -0.0028 0.0000685107 0.0001001593 fração molar calculada - incerteza da fraçao molar - eixo y Incerteza expandida da fração molar associada ao volume δx etanol δx água 0.0018746749 0.0086361933 0.0020208841 0.0073539171 0.0021951135 0.0075054509 0.0024053045 0.0079762735 0.0026631385 0.0086338247 0.0029872017 0.0094774279 0.0034113492 0.0105518236 0.0040149783 0.0119415208 0.0051011268 0.0137908092 0.0098459125 0.0163553442 Equilibrio Dados: Reta 45 °C X Etanol Y Etanol T (K) X Água Y Água 0 0 1 1 0.00006350 0.00067790 372.85 0.99993650 0.99932210 0.00024620 0.00262190 372.80 0.99975380 0.99737810 0.00042960 0.00456330 372.75 0.99957040 0.99543670 0.00061370 0.00650200 372.70 0.99938630 0.99349800 0.00079850 0.00843810 372.65 0.99920150 0.99156190 0.00098400 0.01037150 372.60 0.99901600 0.98962850 0.00117010 0.01230240 372.55 0.99882990 0.98769760 0.00135700 0.01423060 372.50 0.99864300 0.98576940 0.00154450 0.01615610 372.45 0.99845550 0.98384390 0.00173280 0.01807910 372.40 0.99826720 0.98192090 0.00192180 0.01999940 372.35 0.99807820 0.98000060 0.00211150 0.02191710 372.30 0.99788850 0.97808290 0.00230190 0.02383230 372.25 0.99769810 0.97616770 0.00249300 0.02574480 372.20 0.99750700 0.97425520 0.00268490 0.02765470 372.15 0.99731510 0.97234530 0.00287750 0.02956200 372.10 0.99712250 0.97043800 0.00307080 0.03146670 372.05 0.99692920 0.96853330 0.00326480 0.03336890 372.00 0.99673520 0.96663110 0.00345970 0.03526840 371.95 0.99654030 0.96473160 0.00365520 0.03716540 371.90 0.99634480 0.96283460 0.00385150 0.03905980 371.85 0.99614850 0.96094020 0.00404860 0.04095160 371.80 0.99595140 0.95904840 0.00424640 0.04284080 371.75 0.99575360 0.95715920 0.00444500 0.04472750 371.70 0.99555500 0.95527250 0.00464440 0.04661150 371.65 0.99535560 0.95338850 0.00484450 0.04849310 371.60 0.99515550 0.95150690 0.00504550 0.05037210 371.55 0.99495450 0.94962790 0.00524720 0.05224850 371.50 0.99475280 0.94775150 0.00544970 0.05412230 371.45 0.99455030 0.94587770 0.00565300 0.05599360 371.40 0.99434700 0.94400640 0.00585710 0.05786240 371.35 0.99414290 0.94213760 0.00606200 0.05972860 371.30 0.99393800 0.94027140 0.00626770 0.06159230 371.25 0.99373230 0.93840770 0.00647430 0.06345350 371.20 0.99352570 0.93654650 0.00668160 0.06531210 371.15 0.99331840 0.93468790 0.00688980 0.06716820 371.10 0.99311020 0.93283180 0.00709880 0.06902180 371.05 0.99290120 0.93097820 0.00730870 0.07087290 371.00 0.99269130 0.92912710 0.00751940 0.07272140 370.95 0.99248060 0.92727860 0.00773090 0.07456740 370.90 0.99226910 0.92543260 0.00794330 0.07641090 370.85 0.99205670 0.92358910 0.00815650 0.07825190 370.80 0.99184350 0.92174810 0.00837070 0.08009040 370.75 0.99162930 0.91990960 0.00858560 0.08192640 370.70 0.99141440 0.91807360 0.00880150 0.08376000 370.65 0.99119850 0.91624000 0.00901820 0.08559100 370.60 0.99098180 0.91440900 0.00923590 0.08741950 370.55 0.99076410 0.91258050 0.00945440 0.08924560 370.50 0.99054560 0.91075440 0.00967380 0.09106910 370.45 0.99032620 0.90893090 0.00989410 0.09289020 370.40 0.99010590 0.90710980 0.01011530 0.09470880 370.35 0.98988470 0.90529120 0.01033740 0.09652500 370.30 0.98966260 0.90347500 0.01056050 0.09833870 370.25 0.98943950 0.90166130 0.01078450 0.10014990 370.20 0.98921550 0.89985010 0.01100940 0.10195870 370.15 0.98899060 0.89804130 0.01123530 0.10376500 370.10 0.98876470 0.89623500 0.01146210 0.10556880 370.05 0.98853790 0.89443120 0.01168980 0.10737020 370.00 0.98831020 0.89262980 0.01191850 0.10916920 369.95 0.98808150 0.89083080 0.01214820 0.11096570 369.90 0.98785180 0.88903430 0.01237880 0.11275980 369.85 0.98762120 0.88724020 0.01261050 0.11455150 369.80 0.98738950 0.88544850 0.01284310 0.11634070 369.75 0.98715690 0.88365930 0.01307670 0.11812750 369.70 0.98692330 0.88187250 0.01331130 0.11991190 369.65 0.98668870 0.88008810 0.01354690 0.12169380 369.60 0.98645310 0.87830620 0.01378350 0.12347340 369.55 0.98621650 0.87652660 0.01402110 0.12525050 369.50 0.98597890 0.87474950 0.01425980 0.12702520 369.45 0.98574020 0.87297480 0.01449940 0.12879760 369.40 0.98550060 0.87120240 0.01474020 0.13056750 369.35 0.98525980 0.86943250 0.01498190 0.13233500 369.30 0.98501810 0.86766500 0.01522470 0.13410020 369.25 0.98477530 0.86589980 0.01546860 0.13586290 369.20 0.98453140 0.86413710 0.01571360 0.13762330 369.15 0.98428640 0.86237670 0.01595960 0.13938130 369.10 0.98404040 0.86061870 0.01620670 0.14113690 369.05 0.98379330 0.85886310 0.01645490 0.14289010 369.00 0.98354510 0.85710990 0.01670420 0.14464100 368.95 0.98329580 0.85535900 0.01695460 0.14638950 368.90 0.98304540 0.85361050 0.01720610 0.14813570 368.85 0.98279390 0.85186430 0.01745880 0.14987950 368.80 0.98254120 0.85012050 0.01771250 0.15162090 368.75 0.98228750 0.84837910 0.01796740 0.15336000 368.70 0.98203260 0.84664000 0.01822350 0.15509680 368.65 0.98177650 0.84490320 0.01848070 0.15683120 368.60 0.98151930 0.84316880 0.01873910 0.15856330 368.55 0.98126090 0.84143670 0.01899860 0.16029300 368.50 0.98100140 0.83970700 0.01925930 0.16202040 368.45 0.98074070 0.83797960 0.01952130 0.16374550 368.40 0.98047870 0.83625450 0.01978440 0.16546830 368.35 0.98021560 0.83453170 0.02004870 0.16718870 368.30 0.97995130 0.83281130 0.02031420 0.16890690 368.25 0.97968580 0.83109310 0.02058100 0.17062270 368.20 0.97941900 0.82937730 0.02084900 0.17233620 368.15 0.97915100 0.82766380 0.02111820 0.17404740 368.10 0.97888180 0.82595260 0.02138870 0.17575640 368.05 0.97861130 0.82424360 0.02166040 0.17746300 368.00 0.97833960 0.82253700 0.02193340 0.17916730 367.95 0.97806660 0.82083270 0.02220770 0.18086940 367.90 0.97779230 0.81913060 0.02248330 0.18256920 367.85 0.97751670 0.81743080 0.02276020 0.18426670 367.80 0.97723980 0.81573330 0.02303840 0.18596190 367.75 0.97696160 0.81403810 0.02331790 0.18765490 367.70 0.97668210 0.81234510 0.02359870 0.18934560 367.65 0.97640130 0.81065440 0.02388090 0.19103410 367.60 0.97611910 0.80896590 0.02416440 0.19272020 367.55 0.97583560 0.80727980 0.02444930 0.19440420 367.50 0.97555070 0.80559580 0.02473560 0.19608590 367.45 0.97526440 0.80391410 0.02502320 0.19776530 367.40 0.97497680 0.80223470 0.02531220 0.19944250 367.35 0.97468780 0.80055750 0.02560270 0.20111750 367.30 0.97439730 0.79888250 0.02589450 0.20279030 367.25 0.97410550 0.79720970 0.02618780 0.20446080 367.20 0.97381220 0.79553920 0.02648250 0.20612910 367.15 0.97351750 0.79387090 0.02677870 0.20779520 367.10 0.97322130 0.79220480 0.02707630 0.20945910 367.05 0.97292370 0.79054090 0.02737540 0.21112070 367.00 0.97262460 0.78887930 0.02767600 0.21278020 366.95 0.97232400 0.78721980 0.02797810 0.21443750 366.90 0.97202190 0.78556250 0.02828160 0.21609250 366.85 0.97171840 0.78390750 0.02858670 0.21774540 366.80 0.97141330 0.78225460 0.02889340 0.21939610 366.75 0.97110660 0.78060390 0.02920160 0.22104460 366.70 0.97079840 0.77895540 0.02951130 0.22269100 366.65 0.97048870 0.77730900 0.02982260 0.22433510 366.60 0.97017740 0.77566490 0.03013550 0.22597710 366.55 0.96986450 0.77402290 0.03045000 0.22761700 366.50 0.96955000 0.77238300 0.03076610 0.22925460 366.45 0.96923390 0.77074540 0.03108380 0.23089020 366.40 0.96891620 0.76910980 0.03140320 0.23252350 366.35 0.96859680 0.76747650 0.03172420 0.23415480 366.30 0.96827580 0.76584520 0.03204690 0.23578380 366.25 0.96795310 0.76421620 0.03237120 0.23741080 366.20 0.96762880 0.76258920 0.03269730 0.23903560 366.15 0.96730270 0.76096440 0.03302510 0.24065830 366.10 0.96697490 0.75934170 0.03335460 0.24227890 366.05 0.96664540 0.75772110 0.03368580 0.24389740 366.00 0.96631420 0.75610260 0.03401880 0.24551370 365.95 0.96598120 0.75448630 0.03435350 0.24712790 365.90 0.96564650 0.75287210 0.03469000 0.24874010 365.85 0.96531000 0.75125990 0.03502840 0.25035010 365.80 0.96497160 0.74964990 0.03536850 0.25195810 365.75 0.96463150 0.74804190 0.03571050 0.25356390 365.70 0.96428950 0.74643610 0.03605430 0.25516770 365.65 0.96394570 0.74483230 0.03640000 0.25676940 365.60 0.96360000 0.74323060 0.03674760 0.25836910 365.55 0.96325240 0.74163090 0.03709700 0.25996660 365.50 0.96290300 0.74003340 0.03744840 0.26156210 365.45 0.96255160 0.73843790 0.03780170 0.26315560 365.40 0.96219830 0.73684440 0.03815700 0.26474700 365.35 0.96184300 0.73525300 0.03851420 0.26633630 365.30 0.96148580 0.73366370 0.03887340 0.26792360 365.25 0.96112660 0.73207640 0.03923460 0.26950890 365.20 0.96076540 0.73049110 0.03959790 0.27109210 365.15 0.96040210 0.72890790 0.03996320 0.27267330 365.10 0.96003680 0.72732670 0.04033050 0.27425250 365.05 0.95966950 0.72574750 0.04069990 0.27582970 365.00 0.95930010 0.72417030 0.04107150 0.27740490 364.95 0.95892850 0.72259510 0.04144510 0.27897800 364.90 0.95855490 0.72102200 0.04182090 0.28054920 364.85 0.95817910 0.71945080 0.04219880 0.28211830 364.80 0.95780120 0.71788170 0.04257900 0.28368550 364.75 0.95742100 0.71631450 0.04296130 0.28525070 364.70 0.95703870 0.71474930 0.04334580 0.28681390 364.65 0.95665420 0.71318610 0.04373260 0.28837520 364.60 0.95626740 0.71162480 0.04412170 0.28993440 364.55 0.95587830 0.71006560 0.04451300 0.29149180 364.50 0.95548700 0.70850820 0.04490670 0.29304710 364.45 0.95509330 0.70695290 0.04530270 0.29460050 364.40 0.95469730 0.70539950 0.04570100 0.29615200 364.35 0.95429900 0.70384800 0.04610170 0.29770150 364.30 0.95389830 0.70229850 0.04650490 0.29924910 364.25 0.95349510 0.70075090 0.04691040 0.30079480 364.20 0.95308960 0.69920520 0.04731840 0.30233850 364.15 0.95268160 0.69766150 0.04772890 0.30388040 364.10 0.95227110 0.69611960 0.04814190 0.30542030 364.05 0.95185810 0.69457970 0.04855740 0.30695830 364.00 0.95144260 0.69304170 0.04897550 0.30849450 363.95 0.95102450 0.69150550 0.04939610 0.31002870 363.90 0.95060390 0.68997130 0.04981940 0.31156110 363.85 0.95018060 0.68843890 0.05024530 0.31309150 363.80 0.94975470 0.68690850 0.05067380 0.31462010 363.75 0.94932620 0.68537990 0.05110510 0.31614690 363.70 0.94889490 0.68385310 0.05153900 0.31767180 363.65 0.94846100 0.68232820 0.05197580 0.31919480 363.60 0.94802420 0.68080520 0.05241520 0.32071600 363.55 0.94758480 0.67928400 0.05285750 0.32223530 363.50 0.94714250 0.67776470 0.05330270 0.32375280 363.45 0.94669730 0.67624720 0.05375070 0.32526850 363.40 0.94624930 0.67473150 0.05420160 0.32678240 363.35 0.94579840 0.67321760 0.05465540 0.32829450 363.30 0.94534460 0.67170550 0.05511220 0.32980470 363.25 0.94488780 0.67019530 0.05557200 0.33131320 363.20 0.94442800 0.66868680 0.05603480 0.33281980 363.15 0.94396520 0.66718020 0.05650060 0.33432470 363.10 0.94349940 0.66567530 0.05696960 0.33582780 363.05 0.94303040 0.66417220 0.05744170 0.33732910 363.00 0.94255830 0.66267090 0.05791700 0.33882870 362.95 0.94208300 0.66117130 0.05839550 0.34032650 362.90 0.94160450 0.65967350 0.05887720 0.34182260 362.85 0.94112280 0.65817740 0.05936220 0.34331690 362.80 0.94063780 0.65668310 0.05985050 0.34480950 362.75 0.94014950 0.65519050 0.06034210 0.34630030 362.70 0.93965790 0.65369970 0.06083720 0.34778950 362.65 0.93916280 0.65221050 0.06133570 0.34927690 362.60 0.93866430 0.65072310 0.06183760 0.35076260 362.55 0.93816240 0.64923740 0.06234310 0.35224670 362.50 0.93765690 0.64775330 0.06285220 0.35372900 362.45 0.93714780 0.64627100 0.06336480 0.35520970 362.40 0.93663520 0.64479030 0.06388110 0.35668870 362.35 0.93611890 0.64331130 0.06440100 0.35816600 362.30 0.93559900 0.64183400 0.06492470 0.35964170 362.25 0.93507530 0.64035830 0.06545220 0.36111570 362.20 0.93454780 0.63888430 0.06598350 0.36258810 362.15 0.93401650 0.63741190 0.06651870 0.36405890 362.10 0.93348130 0.63594110 0.06705780 0.36552800 362.05 0.93294220 0.63447200 0.06760080 0.36699560 362.00 0.93239920 0.63300440 0.06814790 0.36846150 361.95 0.93185210 0.63153850 0.06869910 0.36992580 361.90 0.93130090 0.63007420 0.06925430 0.37138860 361.85 0.93074570 0.62861140 0.06981380 0.37284970 361.80 0.93018620 0.62715030 0.07037750 0.37430940 361.75 0.92962250 0.62569060 0.07094540 0.37576740 361.70 0.92905460 0.62423260 0.07151780 0.37722390 361.65 0.92848220 0.62277610 0.07209450 0.37867890 361.60 0.92790550 0.62132110 0.07267560 0.38013230 361.55 0.92732440 0.61986770 0.07326130 0.38158420 361.50 0.92673870 0.61841580 0.07385160 0.38303470 361.45 0.92614840 0.61696530 0.07444650 0.38448360 361.40 0.92555350 0.61551640 0.07504610 0.38593100 361.35 0.92495390 0.61406900 0.07565050 0.38737700 361.30 0.92434950 0.61262300 0.07625970 0.38882140 361.25 0.92374030 0.61117860 0.07687380 0.39026450 361.20 0.92312620 0.60973550 0.07749280 0.39170610 361.15 0.92250720 0.60829390 0.07811690 0.39314620 361.10 0.92188310 0.60685380 0.07874610 0.39458490 361.05 0.92125390 0.60541510 0.07938050 0.39602230 361.00 0.92061950 0.60397770 0.08002020 0.39745820 360.95 0.91997980 0.60254180 0.08066520 0.39889270 360.90 0.91933480 0.60110730 0.08131550 0.40032590 360.85 0.91868450 0.59967410 0.08197140 0.40175770 360.80 0.91802860 0.59824230 0.08263280 0.40318810 360.75 0.91736720 0.59681190 0.08329990 0.40461720 360.70 0.91670010 0.59538280 0.08397270 0.40604500 360.65 0.91602730 0.59395500 0.08465130 0.40747140 360.60 0.91534870 0.59252860 0.08533590 0.40889660 360.55 0.91466410 0.59110340 0.08602640 0.41032040 360.50 0.91397360 0.58967960 0.08672300 0.41174300 360.45 0.91327700 0.58825700 0.08742580 0.41316440 360.40 0.91257420 0.58683560 0.08813490 0.41458440 360.35 0.91186510 0.58541560 0.08885030 0.41600330 360.30 0.91114970 0.58399670 0.08957220 0.41742090 360.25 0.91042780 0.58257910 0.09030070 0.41883730 360.20 0.90969930 0.58116270 0.09103590 0.42025260 360.15 0.90896410 0.57974740 0.09177780 0.42166660 360.10 0.90822220 0.57833340 0.09252670 0.42307950 360.05 0.90747330 0.57692050 0.09328250 0.42449130 360.00 0.90671750 0.57550870 0.09404550 0.42590190 359.95 0.90595450 0.57409810 0.09481580 0.42731140 359.90 0.90518420 0.57268860 0.09559330 0.42871990 359.85 0.90440670 0.57128010 0.09637840 0.43012720 359.80 0.90362160 0.56987280 0.09717110 0.43153350 359.75 0.90282890 0.56846650 0.09797150 0.43293870 359.70 0.90202850 0.56706130 0.09877980 0.43434290 359.65 0.90122020 0.56565710 0.09959610 0.43574610 359.60 0.90040390 0.56425390 0.10042060 0.43714830 359.55 0.89957940 0.56285170 0.10125340 0.43854960 359.50 0.89874660 0.56145040 0.10209460 0.43994990 359.45 0.89790540 0.56005010 0.10294430 0.44134920 359.40 0.89705570 0.55865080 0.10380290 0.44274760 359.35 0.89619710 0.55725240 0.10467030 0.44414520 359.30 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0.12417480 0.47194430 358.30 0.87582520 0.52805570 0.12527470 0.47332870 358.25 0.87472530 0.52667130 0.12638830 0.47471280 358.20 0.87361170 0.52528720 0.12751600 0.47609660 358.15 0.87248400 0.52390340 0.12865810 0.47748020 358.10 0.87134190 0.52251980 0.12981490 0.47886360 358.05 0.87018510 0.52113640 0.13098670 0.48024680 358.00 0.86901330 0.51975320 0.13217390 0.48162990 357.95 0.86782610 0.51837010 0.13337680 0.48301300 357.90 0.86662320 0.51698700 0.13459590 0.48439590 357.85 0.86540410 0.51560410 0.13583140 0.48577890 357.80 0.86416860 0.51422110 0.13708390 0.48716200 357.75 0.86291610 0.51283800 0.13835360 0.48854510 357.70 0.86164640 0.51145490 0.13964100 0.48992830 357.65 0.86035900 0.51007170 0.14094660 0.49131180 357.60 0.85905340 0.50868820 0.14227080 0.49269550 357.55 0.85772920 0.50730450 0.14361400 0.49407940 357.50 0.85638600 0.50592060 0.14497680 0.49546370 357.45 0.85502320 0.50453630 0.14635970 0.49684840 357.40 0.85364030 0.50315160 0.14776310 0.49823360 357.35 0.85223690 0.50176640 0.14918770 0.49961920 357.30 0.85081230 0.50038080 0.15063390 0.50100550 357.25 0.84936610 0.49899450 0.15210230 0.50239230 357.20 0.84789770 0.49760770 0.15359360 0.50377980 357.15 0.84640640 0.49622020 0.15510840 0.50516810 357.10 0.84489160 0.49483190 0.15664730 0.50655730 357.05 0.84335270 0.49344270 0.15821100 0.50794730 357.00 0.84178900 0.49205270 0.15980010 0.50933830 356.95 0.84019990 0.49066170 0.16141550 0.51073040 356.90 0.83858450 0.48926960 0.16305780 0.51212360 356.85 0.83694220 0.48787640 0.16472790 0.51351800 356.80 0.83527210 0.48648200 0.16642650 0.51491360 356.75 0.83357350 0.48508640 0.16815460 0.51631070 356.70 0.83184540 0.48368930 0.16991290 0.51770930 356.65 0.83008710 0.48229070 0.17170240 0.51910940 356.60 0.82829760 0.48089060 0.17352410 0.52051120 356.55 0.82647590 0.47948880 0.17537900 0.52191480 356.50 0.82462100 0.47808520 0.17726800 0.52332030 356.45 0.82273200 0.47667970 0.17919230 0.52472780 356.40 0.82080770 0.47527220 0.18115310 0.52613740 356.35 0.81884690 0.47386260 0.18315130 0.52754930 356.30 0.81684870 0.47245070 0.18518840 0.52896350 356.25 0.81481160 0.47103650 0.18726550 0.53038020 356.20 0.81273450 0.46961980 0.18938400 0.53179960 356.15 0.81061600 0.46820040 0.19154530 0.53322170 356.10 0.80845470 0.46677830 0.19375080 0.53464690 356.05 0.80624920 0.46535310 0.19600200 0.53607510 356.00 0.80399800 0.46392490 0.19830050 0.53750660 355.95 0.80169950 0.46249340 0.20064800 0.53894160 355.90 0.79935200 0.46105840 0.20304600 0.54038020 355.85 0.79695400 0.45961980 0.20549660 0.54182260 355.80 0.79450340 0.45817740 0.20800130 0.54326910 355.75 0.79199870 0.45673090 0.21056240 0.54471990 355.70 0.78943760 0.45528010 0.21318160 0.54617510 355.65 0.78681840 0.45382490 0.21586120 0.54763500 355.60 0.78413880 0.45236500 0.21860320 0.54910000 355.55 0.78139680 0.45090000 0.22141010 0.55057020 355.50 0.77858990 0.44942980 0.22428410 0.55204580 355.45 0.77571590 0.44795420 0.22722770 0.55352740 355.40 0.77277230 0.44647260 0.23024350 0.55501500 355.35 0.76975650 0.44498500 0.23333400 0.55650910 355.30 0.76666600 0.44349090 0.23650200 0.55801000 355.25 0.76349800 0.44199000 0.23975030 0.55951810 355.20 0.76024970 0.44048190 0.24308180 0.56103370 355.15 0.75691820 0.43896630 0.24649950 0.56255730 355.10 0.75350050 0.43744270 0.25000640 0.56408940 355.05 0.74999360 0.43591060 0.25360560 0.56563030 355.00 0.74639440 0.43436970 0.25730040 0.56718060 354.95 0.74269960 0.43281940 0.26109380 0.56874080 354.90 0.73890620 0.43125920 0.26498920 0.57031150 354.85 0.73501080 0.42968850 0.26898990 0.57189320 354.80 0.73101010 0.42810680 0.27309900 0.57348650 354.75 0.72690100 0.42651350 0.27731980 0.57509220 354.70 0.72268020 0.42490780 0.28165540 0.57671100 354.65 0.71834460 0.42328900 0.28610900 0.57834350 354.60 0.71389100 0.42165650 0.29068340 0.57999060 354.55 0.70931660 0.42000940 0.29538150 0.58165320 354.50 0.70461850 0.41834680 0.30020580 0.58333210 354.45 0.69979420 0.41666790 0.30515870 0.58502820 354.40 0.69484130 0.41497180 0.31024220 0.58674270 354.35 0.68975780 0.41325730 0.31545800 0.58847660 354.30 0.68454200 0.41152340 0.32080760 0.59023100 354.25 0.67919240 0.40976900 0.32629170 0.59200710 354.20 0.67370830 0.40799290 0.33191110 0.59380620 354.15 0.66808890 0.40619380 0.33766550 0.59562970 354.10 0.66233450 0.40437030 0.34355470 0.59747900 354.05 0.65644530 0.40252100 0.34957750 0.59935550 354.00 0.65042250 0.40064450 0.35573250 0.60126100 353.95 0.64426750 0.39873900 0.36201770 0.60319710 353.90 0.63798230 0.39680290 0.36843070 0.60516550 353.85 0.63156930 0.39483450 0.37496850 0.60716820 353.80 0.62503150 0.39283180 0.38162800 0.60920700 353.75 0.61837200 0.39079300 0.38840540 0.61128420 353.70 0.61159460 0.38871580 0.39529710 0.61340180 353.65 0.60470290 0.38659820 0.40229910 0.61556210 353.60 0.59770090 0.38443790 0.40940730 0.61776770 353.55 0.59059270 0.38223230 0.41661780 0.62002110 353.50 0.58338220 0.37997890 0.42392660 0.62232490 353.45 0.57607340 0.37767510 0.43133010 0.62468210 353.40 0.56866990 0.37531790 0.43882490 0.62709560 353.35 0.56117510 0.37290440 0.44640790 0.62956870 353.30 0.55359210 0.37043130 0.45407660 0.63210470 353.25 0.54592340 0.36789530 0.46182880 0.63470740 353.20 0.53817120 0.36529260 0.46966320 0.63738050 353.15 0.53033680 0.36261950 0.47757860 0.64012820 353.10 0.52242140 0.35987180 0.48557510 0.64295490 353.05 0.51442490 0.35704510 0.49365290 0.64586540 353.00 0.50634710 0.35413460 0.50181330 0.64886490 352.95 0.49818670 0.35113510 0.51005830 0.65195890 352.90 0.48994170 0.34804110 0.51839080 0.65515330 352.85 0.48160920 0.34484670 0.52681440 0.65845490 352.80 0.47318560 0.34154510 0.53533380 0.66187080 352.75 0.46466620 0.33812920 0.54395470 0.66540880 352.70 0.45604530 0.33459120 0.55268380 0.66907760 352.65 0.44731620 0.33092240 0.56152900 0.67288690 352.60 0.43847100 0.32711310 0.57049950 0.67684730 352.55 0.42950050 0.32315270 0.57960610 0.68097080 352.50 0.42039390 0.31902920 0.58886100 0.68527060 352.45 0.41113900 0.31472940 0.59827840 0.68976200 352.40 0.40172160 0.31023800 0.60787480 0.69446200 352.35 0.39212520 0.30553800 0.61766900 0.69939020 352.30 0.38233100 0.30060980 0.62768310 0.70456920 352.25 0.37231690 0.29543080 0.63794250 0.71002500 352.20 0.36205750 0.28997500 0.64847740 0.71578830 352.15 0.35152260 0.28421170 0.65932330 0.72189510 352.10 0.34067670 0.27810490 0.67052250 0.72838840 352.05 0.32947750 0.27161160 0.68212640 0.73532030 352.00 0.31787360 0.26467970 0.69419750 0.74275440 351.95 0.30580250 0.25724560 0.70681380 0.75077010 351.90 0.29318620 0.24922990 0.72007380 0.75946800 351.85 0.27992620 0.24053200 0.73410490 0.76897810 351.80 0.26589510 0.23102190 0.74907620 0.77947410 351.75 0.25092380 0.22052590 0.76521950 0.79119400 351.70 0.23478050 0.20880600 0.78286530 0.80447840 351.65 0.21713470 0.19552160 0.80250960 0.81983960 351.60 0.19749040 0.18016040 0.82494690 0.83810120 351.55 0.17505310 0.16189880 0.85156870 0.86070920 351.50 0.14843130 0.13929080 0.88511230 0.89051920 351.45 0.11488770 0.10948080 0.93156730 0.93380720 351.40 0.06843270 0.06619280 0.99813010 0.99818030 351.35 0.00186990 0.00181970
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