exercício 22 do Módulo 5

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Absorvedor
	22 Recuperação de vapor de Benzeno de uma mistura de ar.
Uma corrente de ar residual de um processo químico flui numa taxa de 1,0 m³/s a 300K e 1 atm, contendo uma fração molar de benzeno de 7,4%. Deseja-se recuperar 85% do benzeno no gás por um processo em 3 etapas. Primeiro, o gás é purificado usando um oléo de lavagem não volátil para absorver os vapores de benzeno. Então, o óleo de lavagem do absorvedor é fracionado do benzeno por contato com vapor a 1 atm e 373 K. a mistura de benzeno e vapor saindo do fracionamento será então condensada. Devido a baixa solubilidade do benzeno na água, duas fases distintas serão formadas e a camada de benzeno será recuperada por decantação. A camada aquosa será purificada e retornada ao processo como água de alimentação do refervedor. O óleo saindo da coluna de fracionamento será resfriado a 300K e retornado ao absorvedor. A Figura abaixo ilustra um esquema do diagrama do processo. 
O óleo de lavagem entrando no absorvedor contendo uma fração molar de benzeno de 0,0476; o óleo puro tem uma massa molar média de 198 g/mol. Será utilizado uma taxa de óleo equivalente a duas vezes a taxa de circulação mínima. Na coluna de fracionamento, uma taxa de vapor de 1,5 vezes a taxa mínima será usada. Calcule a taxa de circulação de óleo e a taxa de vapor necessário para a operação. Solução de lavagem de óleo e benzeno são ideais. A pressão de vapor do benzeno a 300 K é de 0,136 atm, e a 373K é 1,77 atm.
	Solução
	Análise do Absorvedor
	Absorvedor	Remoção do benzeno da corrente gasosa usando óleo não volátil - Processo de absorção contracorrente
	G1	1	m³/s
	y1	7.400000000000001E-2
	rec	85%
	x2	0.05	Dados variaves	Perguntas
	P	1	atm	101.325	kPa	T	Qual a influencia da temperatura na vazão do solvente no absorvedor
	T	300	K	P
	R	8.3145000000000007	kJ/(kmolK)	Ls/Gs ope
	Y1
	V1	24.61732050333087	m³/kmol	X2
	G1	4.0621805279932643E-2	kmol/s
	Calculo de Gs
	Gs	3.7615791689217623E-2	kmol do gás inerte/s
	Y1	7.9913606911447096E-2
	Y2	1.1987041036717066E-2
	X2	4.99790004199916E-2
	Cálculo de Ls/Gs operacional
	Ls operacional	2	Lsmin
	Cálculo do Lsmin
	X1max	0.88
	Lsmin/Gs	8.183716545617635E-2
	Lsmin	3.0783697682355659E-3	Valor calculado pela inclinação da reta	3.0771513173363887E-3
	Lsoperac	6.1567395364711319E-3	kmol óleo/s
	Cálculo de X1
	X1	0.46498950020999585
Dados de equilíbrio
	Linha de Equilíbrio	h	1.2E-2	Linha operacional do Ls/gs min	x	Linha Operacional	Linha de Equilibrio	Erro	h	0.01
	yi	xi	Yi	Xi	Pt	1	atm	Yi	Xi	0.03	1.0354E-2	3.9755877299999997E-3	6.3784122700000006E-3
	0	0	0	0	Psat benzeno	0.13600000000000001	atm	1.1987041036717066E-2	4.99790004199916E-2	Y2,X2	0.04	1.1172000000000001E-2	5.2570316799999996E-3	5.9149683200000018E-3
	1.6320000000000002E-3	1.2E-2	1.6346677778133916E-3	1.2145748987854251E-2	7.9913606911447096E-2	0.88	Y1,X1	0.05	1.1990000000000001E-2	6.5174062499999998E-3	5.4725937500000009E-3
	3.2640000000000004E-3	2.4E-2	3.2746885835366643E-3	2.4590163934426229E-2	6.0000000000000005E-2	1.2808E-2	7.7571820799999993E-3	5.0508179200000006E-3
	4.896000000000001E-3	3.6000000000000004E-2	4.9200887545422399E-3	3.7344398340248969E-2	Linha Operacional	7.0000000000000007E-2	1.3626000000000001E-2	8.9768209300000006E-3	4.6491790700000004E-3
	6.5280000000000008E-3	4.8000000000000001E-2	6.5708948012626429E-3	5.0420168067226892E-2	1.1987041036717066E-2	4.99790004199916E-2	0.08	1.4444000000000002E-2	1.017677568E-2	4.2672243200000022E-3
	8.1600000000000006E-3	0.06	8.2271334086142928E-3	6.3829787234042548E-2	7.9913606911447096E-2	0.46498950020999585	0.09	1.5262000000000001E-2	1.1357490329999999E-2	3.9045096700000021E-3
	9.7920000000000004E-3	7.1999999999999995E-2	9.8888314374353681E-3	7.7586206896551713E-2	9.9999999999999992E-2	1.6080000000000001E-2	1.2519399999999998E-2	3.5606000000000023E-3
	1.1424E-2	8.3999999999999991E-2	1.1556015925937914E-2	9.1703056768558944E-2	0.10999999999999999	1.6898E-2	1.3662930929999997E-2	3.2350690700000025E-3
	1.3056E-2	9.5999999999999988E-2	1.3228714091174373E-2	0.10619469026548671	0.11999999999999998	1.7715999999999999E-2	1.4788500479999996E-2	2.9274995200000032E-3
	1.4688E-2	0.10799999999999998	1.4906953330518658E-2	0.12107623318385648	0.12999999999999998	1.8533999999999998E-2	1.5896517129999996E-2	2.6374828700000026E-3
	1.6319999999999998E-2	0.11999999999999998	1.6590761223162002E-2	0.13636363636363635	0.13999999999999999	1.9352000000000001E-2	1.6987380479999998E-2	2.3646195200000032E-3
	1.7951999999999999E-2	0.13199999999999998	1.8280165531623708E-2	0.15207373271889399	0.15	2.017E-2	1.8061481249999997E-2	2.1085187500000033E-3
	1.9584000000000001E-2	0.14399999999999999	1.9975194203276977E-2	0.16822429906542055	0.16	2.0988E-2	1.9119201279999998E-2	1.868798720000002E-3
	2.1216000000000002E-2	0.156	2.1675875371890019E-2	0.18483412322274881	0.17	2.1805999999999999E-2	2.0160913530000001E-2	1.6450864699999977E-3
	2.2848000000000004E-2	0.16800000000000001	2.3382237359182607E-2	0.20192307692307696	0.18000000000000002	2.2624000000000002E-2	2.118698208E-2	1.437017920000002E-3
	2.4480000000000005E-2	0.18000000000000002	2.5094308676398235E-2	0.21951219512195125	0.19000000000000003	2.3442000000000005E-2	2.2197762130000003E-2	1.2442378700000013E-3
	2.6112000000000007E-2	0.19200000000000003	2.68121180258921E-2	0.23762376237623767	0.20000000000000004	2.4260000000000004E-2	2.3193600000000002E-2	1.0664000000000021E-3
	2.7744000000000008E-2	0.20400000000000004	2.8535694302735091E-2	0.25628140703517593	0.21000000000000005	2.5078000000000003E-2	2.4174833130000004E-2	9.0316686999999951E-4
	2.937600000000001E-2	0.21600000000000005	3.0265066596333913E-2	0.27551020408163274	0.22000000000000006	2.5896000000000006E-2	2.5141790080000004E-2	7.54209920000002E-4
	3.1008000000000011E-2	0.22800000000000006	3.2000264192067647E-2	0.29533678756476694	0.23000000000000007	2.6714000000000005E-2	2.6094790530000005E-2	6.1920946999999976E-4
	3.2640000000000009E-2	0.24000000000000007	3.3741316572940799E-2	0.31578947368421068	0.24000000000000007	2.7532000000000008E-2	2.7034145280000005E-2	4.9785472000000303E-4
	3.4272000000000011E-2	0.25200000000000006	3.5488253421253196E-2	0.3368983957219252	0.25000000000000006	2.8350000000000004E-2	2.7960156250000003E-2	3.8984375000000043E-4
	3.5904000000000012E-2	0.26400000000000007	3.7241104620286791E-2	0.35869565217391314	0.26000000000000006	2.9168000000000006E-2	2.8873116480000002E-2	2.9488352000000412E-4
	3.7536000000000014E-2	0.27600000000000008	3.8999900256009593E-2	0.38121546961325981	0.27000000000000007	2.9986000000000006E-2	2.9773310130000008E-2	2.1268986999999767E-4
	3.9168000000000015E-2	0.28800000000000009	4.0764670618797058E-2	0.40449438202247207	0.28000000000000008	3.0804000000000008E-2	3.0661012480000006E-2	1.4298752000000206E-4
	4.0800000000000017E-2	0.3000000000000001	4.2535446205170996E-2	0.42857142857142871	0.29000000000000009	3.1622000000000011E-2	3.1536489930000008E-2	8.5510070000002769E-5
	4.2432000000000018E-2	0.31200000000000011	4.4312257719556228E-2	0.45348837209302345	0.3000000000000001	3.244000000000001E-2	3.2400000000000012E-2	3.999999999999837E-5	Inclinação da curva da Linha Operaciona (LS/Gs)min
	4.406400000000002E-2	0.32400000000000012	4.6095136076055324E-2	0.47928994082840259	0.31	0.033258	0.0332517913	0.0000062087	8.1804773451529894E-2
	4.5696000000000021E-2	0.33600000000000013	4.7884112400241458E-2	0.50602409638554247	0.32000000000000012	3.4076000000000009E-2	3.4092103680000006E-2	-1.6103679999997234E-5	Ls min	3.0771513173363887E-3
	4.7328000000000023E-2	0.34800000000000014	4.9679218030969759E-2	0.53374233128834381	0.33000000000000013	3.4894000000000008E-2	3.4921167930000004E-2	-2.7167929999995233E-5
	4.8960000000000024E-2	0.36000000000000015	5.1480484522207291E-2	0.56250000000000033	0.34000000000000014	3.5712000000000008E-2	3.5739206080000009E-2	-2.720608000000152E-5
	5.0592000000000026E-2	0.37200000000000016	5.3287943644881888E-2	0.59235668789808948	0.35000000000000014	3.6530000000000007E-2	3.6546431250000011E-2	-1.6431250000004116E-5
5.2224000000000027E-2	0.38400000000000017	5.5101627388750116E-2	0.62337662337662381	0.36000000000000015	3.7348000000000013E-2	3.7343047680000005E-2	4.9523200000081702E-6
	5.3856000000000029E-2	0.39600000000000019	5.692156796428454E-2	0.65562913907284814	0.37000000000000016	3.8166000000000012E-2	3.8129250730000008E-2	3.6749270000004108E-5
	5.548800000000003E-2	0.4080000000000002	5.8747797804580594E-2	0.6891891891891897	0.38000000000000017	3.8984000000000019E-2	3.8905226880000011E-2	7.8773120000007191E-5
	5.7120000000000032E-2	0.42000000000000021	6.0580349567283254E-2	0.72413793103448332	0.39000000000000018	3.9802000000000018E-2	3.9671153730000006E-2	1.3084627000001237E-4
	5.8752000000000033E-2	0.43200000000000022	6.2419256136533659E-2	0.76056338028169079	0.40000000000000019	4.0620000000000017E-2	4.042720000000001E-2	1.9280000000000685E-4
	6.0384000000000035E-2	0.44400000000000023	6.4264550624936176E-2	0.79856115107913739	0.4100000000000002	4.1438000000000016E-2	4.1173525530000019E-2	2.6447446999999791E-4
	6.2016000000000036E-2	0.45600000000000024	6.6116266375545893E-2	0.83823529411764774
	6.3648000000000038E-2	0.46800000000000025	6.797443696387688E-2	0.87969924812030154
	6.5280000000000046E-2	0.48000000000000026	6.9839096199931575E-2	0.92307692307692391
	6.6912000000000041E-2	0.49200000000000027	7.1710278130251437E-2	0.96850393700787496
	6.8544000000000035E-2	0.50400000000000023	7.3588017039989045E-2	1.0161290322580654
	7.0176000000000044E-2	0.51600000000000024	7.5472347455002281E-2	1.06611570247934
	7.1808000000000038E-2	0.52800000000000025	7.736330414397026E-2	1.1186440677966112
	7.3440000000000047E-2	0.54000000000000026	7.9260922120531915E-2	1.1739130434782621
	7.5072000000000041E-2	0.55200000000000027	8.1165236645447045E-2	1.2321428571428585
	7.670400000000005E-2	0.56400000000000028	8.307628322878044E-2	1.2935779816513777
	7.8336000000000044E-2	0.57600000000000029	8.4994097632108939E-2	1.3584905660377375
	7.9968000000000053E-2	0.5880000000000003	8.691871587075238E-2	1.4271844660194193
	8.1600000000000047E-2	0.60000000000000031	8.8850174216027922E-2	1.500000000000002
	8.3232000000000056E-2	0.61200000000000032	9.0788509197528774E-2	1.5773195876288681
	8.4864000000000051E-2	0.62400000000000033	9.2733757605427014E-2	1.6595744680851088
	8.6496000000000059E-2	0.63600000000000034	9.4685956492801412E-2	1.7472527472527499
	8.8128000000000054E-2	0.64800000000000035	9.6645143177989959E-2	1.8409090909090937
	8.9760000000000062E-2	0.66000000000000036	9.8611355246967902E-2	1.9411764705882384
	9.1392000000000057E-2	0.67200000000000037	0.10058463055575129	2.0487804878048816
	9.3024000000000065E-2	0.68400000000000039	0.10256500723282654	2.1645569620253204
	9.465600000000006E-2	0.6960000000000004
	9.6288000000000068E-2	0.70800000000000041
	9.7920000000000063E-2	0.72000000000000042
	9.9552000000000071E-2	0.73200000000000043
	0.10118400000000007	0.74400000000000044
	0.10281600000000007	0.75600000000000045
	0.10444800000000007	0.76800000000000046
	0.10608000000000008	0.78000000000000047
	0.10771200000000007	0.79200000000000048
	0.10934400000000008	0.80400000000000049
	0.11097600000000007	0.8160000000000005
	0.11260800000000008	0.82800000000000051
	0.11424000000000008	0.84000000000000052
	0.11587200000000009	0.85200000000000053
	0.11750400000000008	0.86400000000000055
	0.11913600000000009	0.87600000000000056
	0.12076800000000008	0.88800000000000057
	0.12240000000000009	0.90000000000000058
	0.12403200000000009	0.91200000000000059
	0.12566400000000008	0.9240000000000006
	0.1272960000000001	0.93600000000000061
	0.1289280000000001	0.94800000000000062
	0.13056000000000009	0.96000000000000063
	0.13219200000000009	0.97200000000000064
	0.13382400000000011	0.98400000000000065
	0.1354560000000001	0.99600000000000066
	0.1370880000000001	1.0080000000000007
	0.13872000000000009	1.0200000000000007
	0.14035200000000012	1.0320000000000007
	0.14198400000000011	1.0440000000000007
	0.1436160000000001	1.0560000000000007
	0.1452480000000001	1.0680000000000007
	0.14688000000000012	1.0800000000000007
	0.14851200000000012	1.0920000000000007
	0.15014400000000011	1.1040000000000008
	0.15177600000000011	1.1160000000000008
	0.15340800000000013	1.1280000000000008
	0.15504000000000012	1.1400000000000008
	0.15667200000000012	1.1520000000000008
	0.15830400000000011	1.1640000000000008
	0.15993600000000013	1.1760000000000008
	0.16156800000000013	1.1880000000000008
	0.16320000000000012	1.2000000000000008
	0.16483200000000012	1.2120000000000009
	0.16646400000000014	1.2240000000000009
	0.16809600000000013	1.2360000000000009
	0.16972800000000013	1.2480000000000009
	0.17136000000000012	1.2600000000000009
	0.17299200000000015	1.2720000000000009
	0.17462400000000014	1.2840000000000009
	0.17625600000000013	1.2960000000000009
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