aula 1 - cinética e equilíbrio químico
TRANSCRIPT
-
ESCOLA POLITCNICA DA USPDEPARTAMENTO DE ENGENHARIA HIDRULICA E SANITRIAPHD 5745 PROCESSOS FSICO-QUMICOS I
CINTICA E EQUILBRIO QUMICOProf. Dr. Sidney Seckler Ferreira Filho
-
CINTICA E EQUILBRIO QUMICOIntroduoAplicabilidade dos conceitos de equilbrio qumico e cintica qumica em Engenharia Sanitria e AmbientalFundamentos bsicos de TermodinmicaConceitos de calor, trabalho e energiaLei Zero da Termodinmica
-
CINTICA E EQUILBRIO QUMICOPrimeira Lei da TermodinmicaSegunda Lei da TermodinmicaConceito de Energia Livre de GibbsEquilbrio QumicoConstantes de EquilbrioEfeito da temperatura em constantes de equilbrio
-
CINTICA E EQUILBRIO QUMICOCintica QumicaReaes elementares e no elementaresReaes homogneas e no homogneasReaes em srie e paraleloMolecularidade e ordem de uma reaoReaes de Ordem Zero, Primeira e Segunda Ordem
-
TRATAMENTO CONVENCIONAL DE GUAS DE ABASTECIMENTO
-
CINTICA E EQUILBRIO QUMICO
-
CINTICA E EQUILBRIO QUMICO
-
PROCESSO DE LODOS ATIVADOS CONVENCIONAL
-
CINTICA E EQUILBRIO QUMICOETE Barueri
-
CINTICA E EQUILBRIO QUMICOETE ABC
-
PROCESSOS DE TRANSPORTE E TRANSFORMAO EM SISTEMAS NATURAIS E DE ENGENHARIAA+BC+DTransporte de massaTransporte de massaEntradaSadaO objetivo estabelecer as bases para o seu projeto com objetivos definidosSistemas de engenhariaO objetivo a sua descrio e antecipar mudanas ambientais em funo de diferentes inputsSistemas naturais
-
PROCESSOS DE TRANSPORTE E TRANSFORMAO EM SISTEMAS NATURAIS E DE ENGENHARIAGsSlidoLquidoLquido
-
CINTICA E EQUILBRIO QUMICOAlgumas reaes de interesse em Engenharia Sanitria e Ambiental4Fe+2 + 10H2O + O2 4Fe(OH)3(s) + 8H+2Mn+2 + O2 + 2H20 2MnO2 + 4H+
-
CINTICA E EQUILBRIO QUMICOAlgumas reaes de interesse em Engenharia Sanitria e AmbientalCaO(s) + H2O Ca+2 + 2OH-CaCO3(s) Ca+2 + CO3-2
-
CINTICA E EQUILBRIO QUMICOAlgumas reaes de interesse em Engenharia Sanitria e AmbientalH2S + 2O2 SO4-2 + 2H+NH4+ + 2O2 NO3- + H2O + 2H+
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICASTemperatura: Propriedade que indica a direo do fluxo de energia. Se a temperatura em A maior do que B, a energia flui de A para BCalor: Mecanismo de transferncia de energia que faz o uso de movimento molecular catico
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICASTrabalho: Mecanismo de transferncia de energia que faz o uso de movimento molecular organizadoEnergia interna: Energia armazenada nas molculas do sistema (translacional, rotacional e vibracional e em suas ligaes qumicas)
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICASPrimeira Lei da TermodinmicaSegunda Lei da Termodinmica00
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICASSistema Termodinmico aberto: Troca de massa e energia com o meio Sistema Termodinmico fechado: Troca de energia com o meio Sistema Termodinmico isolado: No h troca de massa e energia com o meio
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICASReservatrio TrmicoSistema
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICAS
-
CINTICA E EQUILBRIO QUMICODEFINIES TERMODINMICAS
-
CINTICA E EQUILBRIO QUMICOENERGIA LIVRE DE GIBBSEnergia Livre de Gibbs
-
CINTICA E EQUILBRIO QUMICOENERGIA LIVRE DE GIBBSEnergia Livre de GibbsEquilbrio QumicoReao espontneaReao no espontnea
-
ENERGIA LIVRE DE GIBBS E CARGA HIDRULICA
-
ENERGIA LIVRE DE GIBBS E CARGA HIDRULICAAB
-
CINTICA E EQUILBRIO QUMICOENERGIA LIVRE DE GIBBS
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIO0
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIOTempoQK
-
CINTICA E EQUILBRIO QUMICOENERGIA LIVRE DE GIBBS
Composto
(G0 (kJ/mol)
CaO(s)
-604,57
H2O
-237,18
Ca+2
-553,54
NH4+
-79,37
O2(l)
16,32
NO3-
-111,34
H+
0
Fe+2
-78,87
Fe(OH)3(s)
-698
Mn+2
-228,03
MnO2
-465,18
H2S
-27,87
SO4-2
-744,63
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIO
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIO Regra 1: Para solventes, deve-se expressar sua concentrao como frao molar. Deste modo, [H2O] ser igual a 1. Regra 2: Para slidos em equilbrio em soluo, sua concentrao ser sempre igual a 1.
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIO Regra 3: Para gases em equilbrio em soluo, sua concentrao ser em atmosferas (Presso Parcial). Regra 4: Para compostos dissolvidos em gua, sua concentrao ser sempre expressa como moles por litro.
-
CINTICA E EQUILBRIO QUMICOCONSTANTE DE EQUILBRIOExemplo de clculo de constante de equilbrio e verificao de espontaneidade de reao qumica
-
CONSTANTE DE EQUILBRIO E EFEITO DA TEMPERATURA
-
CONSTANTE DE EQUILBRIO E EFEITO DA TEMPERATURA
-
CONSTANTE DE EQUILBRIO E EFEITO DA TEMPERATURA
-
PROCESSOS DE TRANSPORTE E TRANSFORMAO EM SISTEMAS NATURAIS E DE ENGENHARIAA+BC+DTransporte de massaTransporte de massaEntradaSadaO objetivo estabelecer as bases para o seu projeto com objetivos definidosSistemas de engenhariaO objetivo a sua descrio e antecipar mudanas ambientais em funo de diferentes inputsSistemas naturais
-
CONSTANTE DE EQUILBRIO E EFEITO DA TEMPERATURAExemplo de clculo de constante de equilbrio em funo da temperatura para sistemas carbonato
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURA
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURA
EspcieG0 (kJ/mol)H0 (kJ/mol)CaCO3(s)-1.128,8-1.207,4Ca+2-553,54-542,83CO3-2-527,9-677,1
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURA
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURAValor vlido para 25 oC !!!
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURA
-
PRODUTO DE SOLUBILIDADE E EFEITO DA TEMPERATURA
Grf1
0.0000000072
0.000000007
0.0000000069
0.0000000068
0.0000000067
0.0000000065
0.0000000064
0.0000000063
0.0000000062
0.0000000061
0.000000006
0.0000000058
0.0000000057
0.0000000056
0.0000000055
0.0000000054
0.0000000053
0.0000000053
0.0000000052
0.0000000051
0.000000005
0.0000000049
0.0000000048
0.0000000047
0.0000000047
0.0000000046
0.0000000045
0.0000000044
0.0000000044
0.0000000043
0.0000000042
0.0000000042
0.0000000041
0.000000004
0.000000004
0.0000000039
0.0000000039
0.0000000038
0.0000000037
0.0000000037
0.0000000036
0.0000000036
0.0000000035
0.0000000035
0.0000000034
0.0000000034
0.0000000033
0.0000000033
0.0000000032
0.0000000032
0.0000000031
0.0000000031
0.0000000031
0.000000003
0.000000003
0.0000000029
Produto de solubilidadeCalcita
Produto de Solubilidade
Temperatura (C)
Produto de Solubilidade
Calcita
Efeito da Temperatura no Produto de Solubilidade
Dados de Entrada
T1 (K)=298
R (J/mol.K)=8.314
Entalpia (Kj)=-12.53
K1=4.992E-09
Temperatura (C)Temperatura (K)Produto de Solubilidade
52787.183E-09
62797.044E-09
72806.910E-09
82816.779E-09
92826.651E-09
102836.527E-09
112846.405E-09
122856.287E-09
132866.172E-09
142876.060E-09
152885.950E-09
162895.844E-09
172905.739E-09
182915.638E-09
192925.539E-09
202935.442E-09
212945.348E-09
222955.255E-09
232965.166E-09
242975.078E-09
252984.992E-09
262994.908E-09
273004.826E-09
283014.747E-09
293024.669E-09
303034.592E-09
313044.518E-09
323054.445E-09
333064.374E-09
343074.304E-09
353084.236E-09
363094.170E-09
373104.104E-09
383114.041E-09
393123.978E-09
403133.918E-09
413143.858E-09
423153.800E-09
433163.743E-09
443173.687E-09
453183.632E-09
463193.578E-09
473203.526E-09
483213.475E-09
493223.424E-09
503233.375E-09
513243.327E-09
523253.279E-09
533263.233E-09
543273.188E-09
553283.143E-09
563293.100E-09
573303.057E-09
583313.015E-09
593322.974E-09
603332.934E-09
Calcita
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Produto de solubilidadeCalcita
Produto de Solubilidade
Temperatura (C)
Produto de Solubilidade
Plan2
Plan3
-
PRODUTO DE SOLUBILIDADE
EspcieFrmulaKSPHidrxido de alumnioAl(OH)32.10-32Carbonato de brioBaCO38,1.10-9Fluoreto de brioBaF21,7.10-6Sulfato de brioBaSO41,08.10-10
-
PRODUTO DE SOLUBILIDADE
EspcieFrmulaKSPCarbonato de clcioCaCO38,7.10-9Fluoreto de clcioCaF24,0.10-11Hidrxido de clcioCa(OH)25,5.10-6Sulfato de clcioCaSO41,9.10-4
-
PRODUTO DE SOLUBILIDADE
EspcieFrmulaKSPArsenato de magnsioMg3(AsO4)22,1.10-20Carbonato de magnsioMgCO31,0.10-5Fluoreto de magnsioMgF26,5.10-9Hidrxido de magnsioMg(OH)21,2.10-11
-
PRODUTO DE SOLUBILIDADE
EspcieFrmulaKSPArsenato de prataAg3AsO41,0.10-22Carbonato de prataAg2CO38,1.10-12Cloreto de prataAgCl1,78.10-10Cromato de prata Ag2CrO42,45.10-12
-
CINTICA QUMICAReaes homogneas e no homogneas Reaes elementares e no elementaresMolecularidade e ordem de uma reaoReaes e srie e paralelo
-
CINTICA QUMICAREAES HOMOGNEAS E NO HOMOGNEASReaes homogneas so aquelas que se processam em uma nica fase !!!A reao caracterizada como no homognea se uma fase adicional requerida para que a mesma ocorra !!!
-
CINTICA QUMICAREAES ELEMENTARESABC
-
CINTICA QUMICAREAES ELEMENTARESABk = constante de reao !!!
-
CINTICA QUMICAREAES ELEMENTARESABC
-
CINTICA QUMICAREAES ELEMENTARESVlido para reaes elementares !!!
-
CINTICA QUMICAREAES NO ELEMENTARES(1)(2)
-
CINTICA QUMICAREAES NO ELEMENTARESAB(1)(2)AB*C
-
CINTICA QUMICAREAES NO ELEMENTARESUma reao no elementar pode ser considerada composta por um conjunto de reaes elementaresA proposio de mecanismos de reao permite a formulao de sua cintica qumica(1)(2)
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTALPROCESSOS BIOQUMICOS(1)(2)
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTAL(1)(2)k1k2k3
-
REAES NO ELEMENTARES PROCESSOS BIOQUMICOS
Grf1
100010
97.52.57.5
95.6781253.3218756.678125
94.08905349123.58219650886.4178034912
92.58839634253.6499750546.350024946
91.12767471393.6507066616.349293339
89.69031063543.62778807516.3722119249
88.27056593823.59641754236.4035824577
86.86643736313.56197910056.4380208995
85.47722246283.52640236066.4735976394
84.10267560483.49038827436.5096117257
82.74271216733.45419640216.5458035979
81.39730380083.41792620786.5820737922
80.06644096613.38161855946.6183814406
78.75011939523.34529270656.6547072935
77.44833514223.30895987696.6910401231
76.16108274713.27262832126.7273716788
74.88835454023.23630519976.7636948003
73.63014036773.19999729236.8000027077
72.38642747623.16371126686.8362887332
71.15720045793.12745377846.8725462216
69.94244121953.09123150556.9087684945
68.74212896253.05505116036.9449488397
67.55624016843.01891949026.9810805098
66.38474858832.98284327437.0171567257
65.22762523382.9468293197.053170681
64.08483837242.91088445287.0891155472
62.95635352342.87501552077.1249844793
61.84213345792.83922937797.1607706221
60.74213820022.80353288457.1964671155
59.65632503222.76793289877.2320671013
58.58464850032.73243627117.2675637289
57.52706042472.69704983837.3029501617
56.48350991122.66178041647.3382195836
55.45394336582.62663479537.3733652047
54.43830451162.59161973147.4083802686
53.43653440842.5567419427.443258058
52.4485714752.52200809877.4779919013
51.47435151342.48742482087.5125751792
50.51380773662.45299866937.5470013307
49.56687079772.41873614047.5812638596
48.63346882262.38464365947.6153563406
47.71352744382.35072757447.6492724256
46.80696983822.31699415027.6830058498
45.91371676592.28344956257.7165504375
45.03368661182.25009989167.7499001084
44.16679542972.21695111717.7830488829
43.31295698792.1840091127.815990888
42.47208281782.15127963737.8487203627
41.64408226372.11876833647.8812316636
40.82886253522.08648073047.9135192696
40.0263287612.05442221257.9455777875
39.23638404472.02259804377.9774019563
38.45892952271.99101334828.0089866518
37.69386442311.95967310858.0403268915
36.94108612651.92858216188.0714178382
36.20049022811.89774519558.1022548045
35.47197060141.8671667448.132833256
34.75541946281.83685118498.1631488151
34.05072743781.8068027368.193197264
33.35778362741.7770254528.222974548
32.67647567671.74752322198.2524767781
32.0066898431.71829976698.2817002331
31.34831106551.68935863758.3106413625
30.70122303571.66070321248.3392967876
30.06530826711.6323366968.367663304
29.44044816711.60426211768.3957378824
28.82652310751.57648233028.4235176698
28.22341249641.54900000928.4509999908
27.63099484961.52181765238.4781823477
27.04914786181.49493757928.5050624208
26.47774847821.46836193118.5316380689
25.91667296581.44209267118.5579073289
25.36579698371.41613158478.5838684153
24.82499565381.39048028088.6095197192
24.29414363041.36514019188.6348598082
23.77311516991.34011257568.6598874244
23.26178419861.31539851678.6846014833
22.7600243811.29099892768.7090010724
22.26770918651.26691455118.7330854489
21.78471195511.2431459628.756854038
21.31090596291.21969356948.7803064306
20.84616448521.19655761948.8034423806
20.39036085951.17373819738.8262618027
19.9433685471.15123523098.8487647691
19.50506119261.12904849298.8709515071
19.07531268391.10717760458.8928223955
18.65399720831.08562203838.9143779617
18.24098930941.06438112198.9356188781
17.83616394111.04345404148.9565459586
17.43939652111.02283984498.9771601551
17.05056298171.00253744638.9974625537
16.66953982050.9825456299.017454371
16.29620414770.96286305019.0371369499
15.93043373380.94348824419.0565117559
15.57210705340.92441962689.0755803732
15.22110332960.90565549999.0943445001
14.8773025750.88719405469.1128059454
14.54058563170.8690333769.130966624
14.21083420990.85117144749.1488285526
13.88793092410.83360615439.1663938457
S (mg/l)
ES (mg/l)
E (mg/l)
Tempo (horas)
Concentrao (mg/L)
Plan1
Dados de entrada
S0 (mg/l)100
ES0 (mg/l)0
E0 (mg/l)10
k1 (h-1)0.05
k2 (h-1)0.05
k3 (h-1)8
Tempo (h)S (mg/l)ES (mg/l)E (mg/l)
0100010
0.0597.52.57.5
0.195.6781253.3218756.678125
0.1594.08905349123.58219650886.4178034912
0.292.58839634253.6499750546.350024946
0.2591.12767471393.6507066616.349293339
0.389.69031063543.62778807516.3722119249
0.3588.27056593823.59641754236.4035824577
0.486.86643736313.56197910056.4380208995
0.4585.47722246283.52640236066.4735976394
0.584.10267560483.49038827436.5096117257
0.5582.74271216733.45419640216.5458035979
0.681.39730380083.41792620786.5820737922
0.6580.06644096613.38161855946.6183814406
0.778.75011939523.34529270656.6547072935
0.7577.44833514223.30895987696.6910401231
0.876.16108274713.27262832126.7273716788
0.8574.88835454023.23630519976.7636948003
0.973.63014036773.19999729236.8000027077
0.9572.38642747623.16371126686.8362887332
171.15720045793.12745377846.8725462216
1.0569.94244121953.09123150556.9087684945
1.168.74212896253.05505116036.9449488397
1.1567.55624016843.01891949026.9810805098
1.266.38474858832.98284327437.0171567257
1.2565.22762523382.9468293197.053170681
1.364.08483837242.91088445287.0891155472
1.3562.95635352342.87501552077.1249844793
1.461.84213345792.83922937797.1607706221
1.4560.74213820022.80353288457.1964671155
1.559.65632503222.76793289877.2320671013
1.5558.58464850032.73243627117.2675637289
1.657.52706042472.69704983837.3029501617
1.6556.48350991122.66178041647.3382195836
1.755.45394336582.62663479537.3733652047
1.7554.43830451162.59161973147.4083802686
1.853.43653440842.5567419427.443258058
1.8552.4485714752.52200809877.4779919013
1.951.47435151342.48742482087.5125751792
1.9550.51380773662.45299866937.5470013307
249.56687079772.41873614047.5812638596
2.0548.63346882262.38464365947.6153563406
2.147.71352744382.35072757447.6492724256
2.1546.80696983822.31699415027.6830058498
2.245.91371676592.28344956257.7165504375
2.2545.03368661182.25009989167.7499001084
2.344.16679542972.21695111717.7830488829
2.3543.31295698792.1840091127.815990888
2.442.47208281782.15127963737.8487203627
2.4541.64408226372.11876833647.8812316636
2.540.82886253522.08648073047.9135192696
2.5540.0263287612.05442221257.9455777875
2.639.23638404472.02259804377.9774019563
2.6538.45892952271.99101334828.0089866518
2.737.69386442311.95967310858.0403268915
2.7536.94108612651.92858216188.0714178382
2.836.20049022811.89774519558.1022548045
2.8535.47197060141.8671667448.132833256
2.934.75541946281.83685118498.1631488151
2.9534.05072743781.8068027368.193197264
333.35778362741.7770254528.222974548
3.0532.67647567671.74752322198.2524767781
3.132.0066898431.71829976698.2817002331
3.1531.34831106551.68935863758.3106413625
3.230.70122303571.66070321248.3392967876
3.2530.06530826711.6323366968.367663304
3.329.44044816711.60426211768.3957378824
3.3528.82652310751.57648233028.4235176698
3.428.22341249641.54900000928.4509999908
3.4527.63099484961.52181765238.4781823477
3.527.04914786181.49493757928.5050624208
3.5526.47774847821.46836193118.5316380689
3.625.91667296581.44209267118.5579073289
3.6525.36579698371.41613158478.5838684153
3.724.82499565381.39048028088.6095197192
3.7524.29414363041.36514019188.6348598082
3.823.77311516991.34011257568.6598874244
3.8523.26178419861.31539851678.6846014833
3.922.7600243811.29099892768.7090010724
3.9522.26770918651.26691455118.7330854489
421.78471195511.2431459628.756854038
4.0521.31090596291.21969356948.7803064306
4.120.84616448521.19655761948.8034423806
4.1520.39036085951.17373819738.8262618027
4.219.9433685471.15123523098.8487647691
4.2519.50506119261.12904849298.8709515071
4.319.07531268391.10717760458.8928223955
4.3518.65399720831.08562203838.9143779617
4.418.24098930941.06438112198.9356188781
4.4517.83616394111.04345404148.9565459586
4.517.43939652111.02283984498.9771601551
4.5517.05056298171.00253744638.9974625537
4.616.66953982050.9825456299.017454371
4.6516.29620414770.96286305019.0371369499
4.715.93043373380.94348824419.0565117559
4.7515.57210705340.92441962689.0755803732
4.815.22110332960.90565549999.0943445001
4.8514.8773025750.88719405469.1128059454
4.914.54058563170.8690333769.130966624
4.9514.21083420990.85117144749.1488285526
513.88793092410.83360615439.1663938457
Plan1
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
S (mg/l)
ES (mg/l)
E (mg/l)
Tempo (horas)
Concentrao (mg/L)
Plan2
Plan3
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTAL(1)(2)k1k2k3
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTAL
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTAL
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTAL
-
EXEMPLOS DE REAES NO ELEMENTARES EM ENGENHARIA SANITRIA E AMBIENTALCintica de Michaelis-Menten !!!
-
CINTICA QUMICAREAES NO ELEMENTARESA proposio de mecanismos de reao permite a formulao de sua cintica qumica !!!A obteno da cintica de uma reao qumica no elementar possvel to somente atravs de ensaios experimentais !!!
-
CINTICA QUMICAORDEM DE REAESReao no elementar !!!Ordem da reao:
-
CINTICA QUMICAESTUDOS DE CASONH3 + HOCl NH2Cl + H2O k=5,1.106 l/mol.s (250C)
-
CINTICA QUMICAESTUDOS DE CASO4Fe+2 + 10H2O + O2 4Fe(OH)3(s) + 8H+ k=8.1013 l2 mol-2 atm-1 min-1 (20,50C)
-
CINTICA QUMICAESTUDOS DE CASO203 3O2 2SO3-2 + ClO2- 2S04-2 + Cl-
-
COMPORTAMENTO MATEMTICO REAES DE PRIMEIRA ORDEM
-
COMPORTAMENTO MATEMTICO REAES DE PRIMEIRA ORDEM
Grf1
111
0.9048374180.74081822070.6065306597
0.81873075310.54881163610.3678794412
0.74081822070.40656965970.2231301601
0.6703200460.30119421190.1353352832
0.60653065970.22313016010.0820849986
0.54881163610.16529888820.0497870684
0.49658530380.12245642830.0301973834
0.44932896410.09071795330.0183156389
0.40656965970.06720551270.0111089965
0.36787944120.04978706840.006737947
0.33287108370.03688316740.0040867714
0.30119421190.02732372240.0024787522
0.2725317930.02024191140.0015034392
0.24659696390.01499557680.000911882
0.22313016010.01110899650.0005530844
0.2018965180.0082297470.0003354626
0.18268352410.00609674660.0002034684
0.16529888820.00451658090.0001234098
0.14956861920.00334596550.0000748518
0.13533528320.00247875220.0000453999
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.05
Tempo (min)ARS
0100
10.86070797640.0928613490.0464306745
20.74081822070.17278785290.0863939264
30.63762815160.24158123230.1207906161
40.54881163610.30079224260.1503961213
50.47236655270.35175563150.1758778158
60.40656965970.39562022680.1978101134
70.34993774910.43337483390.216687417
80.30119421190.46587052540.2329352627
90.25924026060.49383982620.2469199131
100.22313016010.51791322660.2589566133
110.19204990860.53863339430.2693166971
120.16529888820.55646740790.2782337039
130.14227407160.57181728560.2859086428
140.12245642830.58502904780.2925145239
150.10539922460.5964005170.2982002585
160.09071795330.60618803110.3030940156
170.0780816660.61461222270.3073061113
180.06720551270.62186299150.3109314958
190.05784432090.62810378610.314051893
200.04978706840.63347528780.3167376439
210.04285212690.63809858210.319049291
220.03688316740.64207788840.3210389442
230.03174563640.64550290910.3227514545
240.02732372240.64845085170.3242254259
250.02351774590.65098816940.3254940847
260.02024191140.6531720590.3265860295
270.01742237460.65505175020.3275258751
280.01499557680.65666961550.3283348077
290.01290681260.65806212490.3290310625
300.01110899650.6592606690.3296303345
&A
Page &P
Sheet4
100
0.86070797640.0928613490.0464306745
0.74081822070.17278785290.0863939264
0.63762815160.24158123230.1207906161
0.54881163610.30079224260.1503961213
0.47236655270.35175563150.1758778158
0.40656965970.39562022680.1978101134
0.34993774910.43337483390.216687417
0.30119421190.46587052540.2329352627
0.25924026060.49383982620.2469199131
0.22313016010.51791322660.2589566133
0.19204990860.53863339430.2693166971
0.16529888820.55646740790.2782337039
0.14227407160.57181728560.2859086428
0.12245642830.58502904780.2925145239
0.10539922460.5964005170.2982002585
0.09071795330.60618803110.3030940156
0.0780816660.61461222270.3073061113
0.06720551270.62186299150.3109314958
0.05784432090.62810378610.314051893
0.04978706840.63347528780.3167376439
0.04285212690.63809858210.319049291
0.03688316740.64207788840.3210389442
0.03174563640.64550290910.3227514545
0.02732372240.64845085170.3242254259
0.02351774590.65098816940.3254940847
0.02024191140.6531720590.3265860295
0.01742237460.65505175020.3275258751
0.01499557680.65666961550.3283348077
0.01290681260.65806212490.3290310625
0.01110899650.6592606690.3296303345
&A
Page &P
k1=0,1 min-1k2=0,05 min-1
#REF!
#REF!
#REF!
Tempo (min)
Sheet5
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=10
Tempo (min)ARS
0100
10.81873075310.01670786430.1645613826
20.6703200460.01368000090.3159999531
30.54881163610.01120023750.4399881264
40.44932896410.00916997890.541501057
50.36787944120.00750774370.6246128151
60.30119421190.00614682070.6926589674
70.24659696390.00503259110.748370445
80.2018965180.00412033710.7939831449
90.16529888820.00337344670.8313276651
100.13533528320.00276194460.8619027722
110.11080315840.00226128890.8869355527
120.09071795330.00185138680.9074306599
130.07427357820.00151578730.9242106345
140.06081006260.00124102170.9379489157
150.04978706840.00101606260.949196869
160.0407622040.00083188170.9584059143
170.033373270.00068108710.9659456429
180.02732372240.0005576270.9721186506
190.02237077190.00045654640.9771726818
200.01831563890.00037378850.9813105726
210.01499557680.00030603220.984698391
220.01227733990.0002505580.9874721021
230.01005183570.00020513950.9897430248
240.0082297470.0001679540.9916022989
250.0067379470.00013750910.9931245439
260.00551656440.00011258290.9943708526
270.00451658090.00009217510.9953912439
280.00369786370.00007546660.9962266697
290.00302755470.00006178680.9969106584
300.00247875220.00005058680.997470661
&A
Page &P
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=10,0 min-1
A
R
S
Tempo (min)
Sheet6
&A
Page &P
Sheet7
&A
Page &P
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
-
COMPORTAMENTO MATEMTICO REAES DE ORDEM ZERO
-
COMPORTAMENTO MATEMTICO REAES DE ORDEM ZERO
Grf3
111
0.990.970.92
0.980.940.84
0.970.910.76
0.960.880.68
0.950.850.6
0.940.820.52
0.930.790.44
0.920.760.36
0.910.730.28
0.90.70.2
0.890.670.12
0.880.640.04
0.870.61-0.04
0.860.58-0.12
0.850.55-0.2
0.840.52-0.28
0.830.49-0.36
0.820.46-0.44
0.810.43-0.52
0.80.4-0.6
0.790.37-0.68
0.780.34-0.76
0.770.31-0.84
0.760.28-0.92
0.750.25-1
0.740.22-1.08
0.730.19-1.16
0.720.16-1.24
0.710.13-1.32
0.70.1-1.4
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.05
Tempo (min)ARS
0100
10.86070797640.0928613490.0464306745
20.74081822070.17278785290.0863939264
30.63762815160.24158123230.1207906161
40.54881163610.30079224260.1503961213
50.47236655270.35175563150.1758778158
60.40656965970.39562022680.1978101134
70.34993774910.43337483390.216687417
80.30119421190.46587052540.2329352627
90.25924026060.49383982620.2469199131
100.22313016010.51791322660.2589566133
110.19204990860.53863339430.2693166971
120.16529888820.55646740790.2782337039
130.14227407160.57181728560.2859086428
140.12245642830.58502904780.2925145239
150.10539922460.5964005170.2982002585
160.09071795330.60618803110.3030940156
170.0780816660.61461222270.3073061113
180.06720551270.62186299150.3109314958
190.05784432090.62810378610.314051893
200.04978706840.63347528780.3167376439
210.04285212690.63809858210.319049291
220.03688316740.64207788840.3210389442
230.03174563640.64550290910.3227514545
240.02732372240.64845085170.3242254259
250.02351774590.65098816940.3254940847
260.02024191140.6531720590.3265860295
270.01742237460.65505175020.3275258751
280.01499557680.65666961550.3283348077
290.01290681260.65806212490.3290310625
300.01110899650.6592606690.3296303345
&A
Page &P
Sheet4
100
0.86070797640.0928613490.0464306745
0.74081822070.17278785290.0863939264
0.63762815160.24158123230.1207906161
0.54881163610.30079224260.1503961213
0.47236655270.35175563150.1758778158
0.40656965970.39562022680.1978101134
0.34993774910.43337483390.216687417
0.30119421190.46587052540.2329352627
0.25924026060.49383982620.2469199131
0.22313016010.51791322660.2589566133
0.19204990860.53863339430.2693166971
0.16529888820.55646740790.2782337039
0.14227407160.57181728560.2859086428
0.12245642830.58502904780.2925145239
0.10539922460.5964005170.2982002585
0.09071795330.60618803110.3030940156
0.0780816660.61461222270.3073061113
0.06720551270.62186299150.3109314958
0.05784432090.62810378610.314051893
0.04978706840.63347528780.3167376439
0.04285212690.63809858210.319049291
0.03688316740.64207788840.3210389442
0.03174563640.64550290910.3227514545
0.02732372240.64845085170.3242254259
0.02351774590.65098816940.3254940847
0.02024191140.6531720590.3265860295
0.01742237460.65505175020.3275258751
0.01499557680.65666961550.3283348077
0.01290681260.65806212490.3290310625
0.01110899650.6592606690.3296303345
&A
Page &P
k1=0,1 min-1k2=0,05 min-1
#REF!
#REF!
#REF!
Tempo (min)
Sheet5
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=10
Tempo (min)ARS
0100
10.81873075310.01670786430.1645613826
20.6703200460.01368000090.3159999531
30.54881163610.01120023750.4399881264
40.44932896410.00916997890.541501057
50.36787944120.00750774370.6246128151
60.30119421190.00614682070.6926589674
70.24659696390.00503259110.748370445
80.2018965180.00412033710.7939831449
90.16529888820.00337344670.8313276651
100.13533528320.00276194460.8619027722
110.11080315840.00226128890.8869355527
120.09071795330.00185138680.9074306599
130.07427357820.00151578730.9242106345
140.06081006260.00124102170.9379489157
150.04978706840.00101606260.949196869
160.0407622040.00083188170.9584059143
170.033373270.00068108710.9659456429
180.02732372240.0005576270.9721186506
190.02237077190.00045654640.9771726818
200.01831563890.00037378850.9813105726
210.01499557680.00030603220.984698391
220.01227733990.0002505580.9874721021
230.01005183570.00020513950.9897430248
240.0082297470.0001679540.9916022989
250.0067379470.00013750910.9931245439
260.00551656440.00011258290.9943708526
270.00451658090.00009217510.9953912439
280.00369786370.00007546660.9962266697
290.00302755470.00006178680.9969106584
300.00247875220.00005058680.997470661
&A
Page &P
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=10,0 min-1
A
R
S
Tempo (min)
Sheet6
&A
Page &P
Sheet7
&A
Page &P
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
-
COMPORTAMENTO MATEMTICO REAES DE SEGUNDA ORDEM
-
COMPORTAMENTO MATEMTICO REAES DE SEGUNDA ORDEM
Grf4
111
0.50.250.1428571429
0.33333333330.14285714290.0769230769
0.250.10.0526315789
0.20.07692307690.04
0.16666666670.06250.0322580645
0.14285714290.05263157890.027027027
0.1250.04545454550.023255814
0.11111111110.040.0204081633
0.10.03571428570.0181818182
0.09090909090.03225806450.0163934426
0.08333333330.02941176470.0149253731
0.07692307690.0270270270.0136986301
0.07142857140.0250.0126582278
0.06666666670.0232558140.0117647059
0.06250.02173913040.010989011
0.05882352940.02040816330.0103092784
0.05555555560.01923076920.0097087379
0.05263157890.01818181820.0091743119
0.050.01724137930.0086956522
0.04761904760.01639344260.0082644628
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.05
Tempo (min)ARS
0100
10.86070797640.0928613490.0464306745
20.74081822070.17278785290.0863939264
30.63762815160.24158123230.1207906161
40.54881163610.30079224260.1503961213
50.47236655270.35175563150.1758778158
60.40656965970.39562022680.1978101134
70.34993774910.43337483390.216687417
80.30119421190.46587052540.2329352627
90.25924026060.49383982620.2469199131
100.22313016010.51791322660.2589566133
110.19204990860.53863339430.2693166971
120.16529888820.55646740790.2782337039
130.14227407160.57181728560.2859086428
140.12245642830.58502904780.2925145239
150.10539922460.5964005170.2982002585
160.09071795330.60618803110.3030940156
170.0780816660.61461222270.3073061113
180.06720551270.62186299150.3109314958
190.05784432090.62810378610.314051893
200.04978706840.63347528780.3167376439
210.04285212690.63809858210.319049291
220.03688316740.64207788840.3210389442
230.03174563640.64550290910.3227514545
240.02732372240.64845085170.3242254259
250.02351774590.65098816940.3254940847
260.02024191140.6531720590.3265860295
270.01742237460.65505175020.3275258751
280.01499557680.65666961550.3283348077
290.01290681260.65806212490.3290310625
300.01110899650.6592606690.3296303345
&A
Page &P
Sheet4
100
0.86070797640.0928613490.0464306745
0.74081822070.17278785290.0863939264
0.63762815160.24158123230.1207906161
0.54881163610.30079224260.1503961213
0.47236655270.35175563150.1758778158
0.40656965970.39562022680.1978101134
0.34993774910.43337483390.216687417
0.30119421190.46587052540.2329352627
0.25924026060.49383982620.2469199131
0.22313016010.51791322660.2589566133
0.19204990860.53863339430.2693166971
0.16529888820.55646740790.2782337039
0.14227407160.57181728560.2859086428
0.12245642830.58502904780.2925145239
0.10539922460.5964005170.2982002585
0.09071795330.60618803110.3030940156
0.0780816660.61461222270.3073061113
0.06720551270.62186299150.3109314958
0.05784432090.62810378610.314051893
0.04978706840.63347528780.3167376439
0.04285212690.63809858210.319049291
0.03688316740.64207788840.3210389442
0.03174563640.64550290910.3227514545
0.02732372240.64845085170.3242254259
0.02351774590.65098816940.3254940847
0.02024191140.6531720590.3265860295
0.01742237460.65505175020.3275258751
0.01499557680.65666961550.3283348077
0.01290681260.65806212490.3290310625
0.01110899650.6592606690.3296303345
&A
Page &P
k1=0,1 min-1k2=0,05 min-1
#REF!
#REF!
#REF!
Tempo (min)
Sheet5
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=10
Tempo (min)ARS
0100
10.81873075310.01670786430.1645613826
20.6703200460.01368000090.3159999531
30.54881163610.01120023750.4399881264
40.44932896410.00916997890.541501057
50.36787944120.00750774370.6246128151
60.30119421190.00614682070.6926589674
70.24659696390.00503259110.748370445
80.2018965180.00412033710.7939831449
90.16529888820.00337344670.8313276651
100.13533528320.00276194460.8619027722
110.11080315840.00226128890.8869355527
120.09071795330.00185138680.9074306599
130.07427357820.00151578730.9242106345
140.06081006260.00124102170.9379489157
150.04978706840.00101606260.949196869
160.0407622040.00083188170.9584059143
170.033373270.00068108710.9659456429
180.02732372240.0005576270.9721186506
190.02237077190.00045654640.9771726818
200.01831563890.00037378850.9813105726
210.01499557680.00030603220.984698391
220.01227733990.0002505580.9874721021
230.01005183570.00020513950.9897430248
240.0082297470.0001679540.9916022989
250.0067379470.00013750910.9931245439
260.00551656440.00011258290.9943708526
270.00451658090.00009217510.9953912439
280.00369786370.00007546660.9962266697
290.00302755470.00006178680.9969106584
300.00247875220.00005058680.997470661
&A
Page &P
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=10,0 min-1
A
R
S
Tempo (min)
Sheet6
&A
Page &P
Sheet7
&A
Page &P
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
-
CINTICA QUMICAREAES EM PARALELOARSk1k2
-
CINTICA QUMICAREAES EM PARALELOARSk1k2
-
CINTICA QUMICAREAES EM PARALELO
-
CINTICA QUMICAREAES EM PARALELO
-
CINTICA QUMICAREAES EM PARALELO
Grf6
100
0.86070797640.0928613490.0464306745
0.74081822070.17278785290.0863939264
0.63762815160.24158123230.1207906161
0.54881163610.30079224260.1503961213
0.47236655270.35175563150.1758778158
0.40656965970.39562022680.1978101134
0.34993774910.43337483390.216687417
0.30119421190.46587052540.2329352627
0.25924026060.49383982620.2469199131
0.22313016010.51791322660.2589566133
0.19204990860.53863339430.2693166971
0.16529888820.55646740790.2782337039
0.14227407160.57181728560.2859086428
0.12245642830.58502904780.2925145239
0.10539922460.5964005170.2982002585
0.09071795330.60618803110.3030940156
0.0780816660.61461222270.3073061113
0.06720551270.62186299150.3109314958
0.05784432090.62810378610.314051893
0.04978706840.63347528780.3167376439
0.04285212690.63809858210.319049291
0.03688316740.64207788840.3210389442
0.03174563640.64550290910.3227514545
0.02732372240.64845085170.3242254259
0.02351774590.65098816940.3254940847
0.02024191140.6531720590.3265860295
0.01742237460.65505175020.3275258751
0.01499557680.65666961550.3283348077
0.01290681260.65806212490.3290310625
0.01110899650.6592606690.3296303345
k1=0,1 min-1k2=0,05 min-1
A
R
S
Tempo (min)
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.05
Tempo (min)ARS
0100
10.86070797640.0928613490.0464306745
20.74081822070.17278785290.0863939264
30.63762815160.24158123230.1207906161
40.54881163610.30079224260.1503961213
50.47236655270.35175563150.1758778158
60.40656965970.39562022680.1978101134
70.34993774910.43337483390.216687417
80.30119421190.46587052540.2329352627
90.25924026060.49383982620.2469199131
100.22313016010.51791322660.2589566133
110.19204990860.53863339430.2693166971
120.16529888820.55646740790.2782337039
130.14227407160.57181728560.2859086428
140.12245642830.58502904780.2925145239
150.10539922460.5964005170.2982002585
160.09071795330.60618803110.3030940156
170.0780816660.61461222270.3073061113
180.06720551270.62186299150.3109314958
190.05784432090.62810378610.314051893
200.04978706840.63347528780.3167376439
210.04285212690.63809858210.319049291
220.03688316740.64207788840.3210389442
230.03174563640.64550290910.3227514545
240.02732372240.64845085170.3242254259
250.02351774590.65098816940.3254940847
260.02024191140.6531720590.3265860295
270.01742237460.65505175020.3275258751
280.01499557680.65666961550.3283348077
290.01290681260.65806212490.3290310625
300.01110899650.6592606690.3296303345
&A
Page &P
Sheet4
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,1 min-1k2=0,05 min-1
A
R
S
Tempo (min)
Sheet5
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=10
Tempo (min)ARS
0100
10.81873075310.01670786430.1645613826
20.6703200460.01368000090.3159999531
30.54881163610.01120023750.4399881264
40.44932896410.00916997890.541501057
50.36787944120.00750774370.6246128151
60.30119421190.00614682070.6926589674
70.24659696390.00503259110.748370445
80.2018965180.00412033710.7939831449
90.16529888820.00337344670.8313276651
100.13533528320.00276194460.8619027722
110.11080315840.00226128890.8869355527
120.09071795330.00185138680.9074306599
130.07427357820.00151578730.9242106345
140.06081006260.00124102170.9379489157
150.04978706840.00101606260.949196869
160.0407622040.00083188170.9584059143
170.033373270.00068108710.9659456429
180.02732372240.0005576270.9721186506
190.02237077190.00045654640.9771726818
200.01831563890.00037378850.9813105726
210.01499557680.00030603220.984698391
220.01227733990.0002505580.9874721021
230.01005183570.00020513950.9897430248
240.0082297470.0001679540.9916022989
250.0067379470.00013750910.9931245439
260.00551656440.00011258290.9943708526
270.00451658090.00009217510.9953912439
280.00369786370.00007546660.9962266697
290.00302755470.00006178680.9969106584
300.00247875220.00005058680.997470661
&A
Page &P
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=10,0 min-1
A
R
S
Tempo (min)
Sheet6
&A
Page &P
Sheet7
&A
Page &P
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
-
CINTICA QUMICAREAES EM PARALELO
Grf8
100
0.90393303290.0951158090.0009511581
0.81709492790.18109413080.0018109413
0.73859909640.25881277590.0025881278
0.66764412130.32906522650.0032906523
0.60350557540.39256873720.0039256874
0.54552862520.44997165830.0044997166
0.49312134470.50186005480.0050186005
0.44574867270.54876369040.0054876369
0.40292694960.59116143610.0059116144
0.36421897960.62948615880.0062948616
0.32922956680.66412914170.0066412914
0.29760148090.69544407830.0069544408
0.26901180920.7237506840.0072375068
0.24316866060.74933795980.0074933796
0.21980818480.77246714370.0077246714
0.19869187920.7933743770.0079337438
0.1796041530.81227311590.0081227312
0.16235012670.82935631020.0082935631
0.14675364240.84479837380.0084479837
0.13265546510.85875696530.0085875697
0.11991165690.87137459710.008713746
0.10839210770.88278009140.0088278009
0.09797920660.89308989440.0089308989
0.08856664140.90240926590.0090240927
0.08005831280.91083335370.0091083335
0.07236735350.91844816490.0091844816
0.06541524130.92533144420.0092533144
0.05913099750.93155346780.0093155347
0.05345046190.93717776050.0093717776
0.04831563810.94226174440.0094226174
k1=0,1 min-1k2=0,001 min-1
A
R
S
Tempo (min)
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.001
Tempo (min)ARS
0100
10.90393303290.0951158090.0009511581
20.81709492790.18109413080.0018109413
30.73859909640.25881277590.0025881278
40.66764412130.32906522650.0032906523
50.60350557540.39256873720.0039256874
60.54552862520.44997165830.0044997166
70.49312134470.50186005480.0050186005
80.44574867270.54876369040.0054876369
90.40292694960.59116143610.0059116144
100.36421897960.62948615880.0062948616
110.32922956680.66412914170.0066412914
120.29760148090.69544407830.0069544408
130.26901180920.7237506840.0072375068
140.24316866060.74933795980.0074933796
150.21980818480.77246714370.0077246714
160.19869187920.7933743770.0079337438
170.1796041530.81227311590.0081227312
180.16235012670.82935631020.0082935631
190.14675364240.84479837380.0084479837
200.13265546510.85875696530.0085875697
210.11991165690.87137459710.008713746
220.10839210770.88278009140.0088278009
230.09797920660.89308989440.0089308989
240.08856664140.90240926590.0090240927
250.08005831280.91083335370.0091083335
260.07236735350.91844816490.0091844816
270.06541524130.92533144420.0092533144
280.05913099750.93155346780.0093155347
290.05345046190.93717776050.0093717776
300.04831563810.94226174440.0094226174
&A
Page &P
Sheet4
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,1 min-1k2=0,001 min-1
A
R
S
Tempo (min)
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
k1=0,1 min-1k2=0,05 min-1
A
R
S
Tempo (min)
Sheet6
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=10
Tempo (min)ARS
0100
10.81873075310.01670786430.1645613826
20.6703200460.01368000090.3159999531
30.54881163610.01120023750.4399881264
40.44932896410.00916997890.541501057
50.36787944120.00750774370.6246128151
60.30119421190.00614682070.6926589674
70.24659696390.00503259110.748370445
80.2018965180.00412033710.7939831449
90.16529888820.00337344670.8313276651
100.13533528320.00276194460.8619027722
110.11080315840.00226128890.8869355527
120.09071795330.00185138680.9074306599
130.07427357820.00151578730.9242106345
140.06081006260.00124102170.9379489157
150.04978706840.00101606260.949196869
160.0407622040.00083188170.9584059143
170.033373270.00068108710.9659456429
180.02732372240.0005576270.9721186506
190.02237077190.00045654640.9771726818
200.01831563890.00037378850.9813105726
210.01499557680.00030603220.984698391
220.01227733990.0002505580.9874721021
230.01005183570.00020513950.9897430248
240.0082297470.0001679540.9916022989
250.0067379470.00013750910.9931245439
260.00551656440.00011258290.9943708526
270.00451658090.00009217510.9953912439
280.00369786370.00007546660.9962266697
290.00302755470.00006178680.9969106584
300.00247875220.00005058680.997470661
&A
Page &P
Sheet6
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=10,0 min-1
A
R
S
Tempo (min)
Sheet7
&A
Page &P
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
&A
Page &P
-
CINTICA QUMICAREAES EM SRIE
-
CINTICA QUMICAREAES EM SRIE
-
CINTICA QUMICAREAES EM SRIE
-
CINTICA QUMICAREAES EM SRIE
Grf9
100
0.81873075310.16375433820.0175149087
0.6703200460.2681548330.061525121
0.54881163610.32933637960.1218519843
0.44932896410.35953507350.1911359624
0.36787944120.36797142640.2641491325
0.30119421190.36154150590.3372642822
0.24659696390.34535661020.4080464258
0.2018965180.3231636770.474939805
0.16529888820.29767193110.5370291807
0.13533528320.27080594690.5938587699
0.11080315840.24390106940.6452957722
0.09071795330.2178537740.6914282727
0.07427357820.19323688010.7324895417
0.06081006260.17038741870.7688025187
0.04978706840.1494732820.8007396496
0.0407622040.13054345960.8286943364
0.033373270.11356562130.8530611087
0.02732372240.09845398280.8742222947
0.02237077190.08508974270.8925394854
0.01831563890.0733358670.9083484941
0.01499557680.06304759950.9219568237
0.01227733990.05407976150.9336428986
0.01005183570.04629165940.9436565048
0.0082297470.03955022710.9522200258
0.0067379470.03373188230.9595301707
0.00551656440.02872345930.9657599763
0.00451658090.02442249260.9710609264
0.00369786370.02073705510.9755650811
0.00302755470.01758530390.9793871414
0.00247875220.01489484420.9826264037
k1=0,2 min-1k2=0,2 min-1
A
R
S
Tempo (min)
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.001
Tempo (min)ARS
0100
10.90393303290.0951158090.0009511581
20.81709492790.18109413080.0018109413
30.73859909640.25881277590.0025881278
40.66764412130.32906522650.0032906523
50.60350557540.39256873720.0039256874
60.54552862520.44997165830.0044997166
70.49312134470.50186005480.0050186005
80.44574867270.54876369040.0054876369
90.40292694960.59116143610.0059116144
100.36421897960.62948615880.0062948616
110.32922956680.66412914170.0066412914
120.29760148090.69544407830.0069544408
130.26901180920.7237506840.0072375068
140.24316866060.74933795980.0074933796
150.21980818480.77246714370.0077246714
160.19869187920.7933743770.0079337438
170.1796041530.81227311590.0081227312
180.16235012670.82935631020.0082935631
190.14675364240.84479837380.0084479837
200.13265546510.85875696530.0085875697
210.11991165690.87137459710.008713746
220.10839210770.88278009140.0088278009
230.09797920660.89308989440.0089308989
240.08856664140.90240926590.0090240927
250.08005831280.91083335370.0091083335
260.07236735350.91844816490.0091844816
270.06541524130.92533144420.0092533144
280.05913099750.93155346780.0093155347
290.05345046190.93717776050.0093717776
300.04831563810.94226174440.0094226174
&A
Page &P
Sheet4
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,1 min-1k2=0,001 min-1
A
R
S
Tempo (min)
Sheet5
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
k1=0,1 min-1k2=0,05 min-1
A
R
S
Tempo (min)
Sheet6
Reaes em Srie
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.2
k2 (min-1)=0.1999
Tempo (min)ARS
0100
10.81873075310.16375433820.0175149087
20.6703200460.2681548330.061525121
30.54881163610.32933637960.1218519843
40.44932896410.35953507350.1911359624
50.36787944120.36797142640.2641491325
60.30119421190.36154150590.3372642822
70.24659696390.34535661020.4080464258
80.2018965180.3231636770.474939805
90.16529888820.29767193110.5370291807
100.13533528320.27080594690.5938587699
110.11080315840.24390106940.6452957722
120.09071795330.2178537740.6914282727
130.07427357820.19323688010.7324895417
140.06081006260.17038741870.7688025187
150.04978706840.1494732820.8007396496
160.0407622040.13054345960.8286943364
170.033373270.11356562130.8530611087
180.02732372240.09845398280.8742222947
190.02237077190.08508974270.8925394854
200.01831563890.0733358670.9083484941
210.01499557680.06304759950.9219568237
220.01227733990.05407976150.9336428986
230.01005183570.04629165940.9436565048
240.0082297470.03955022710.9522200258
250.0067379470.03373188230.9595301707
260.00551656440.02872345930.9657599763
270.00451658090.02442249260.9710609264
280.00369786370.02073705510.9755650811
290.00302755470.01758530390.9793871414
300.00247875220.01489484420.9826264037
&A
Page &P
Sheet6
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k1=0,2 min-1k2=0,2 min-1
A
R
S
Tempo (min)
Sheet7
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
k1=0,2 min-1k2=0,2 min-1
A
R
S
Tempo (min)
Sheet8
&A
Page &P
Sheet9
&A
Page &P
Sheet10
&A
Page &P
Sheet11
&A
Page &P
Sheet12
&A
Page &P
Sheet13
&A
Page &P
Sheet14
&A
Page &P
Sheet15
&A
Page &P
Sheet16
&A
Page &P
&A
Page &P
&A
Page &P
&A
Page &P
&A
Page &P
-
CINTICA QUMICAREAES EM SRIE
Grf11
100
0.00004539990.83539321750.1645613826
0.00000000210.68400004490.3159999531
00.56001187360.4399881264
00.4584989430.541501057
00.37538718490.6246128151
00.30734103260.6926589674
00.2516295550.748370445
00.20601685510.7939831449
00.16867233490.8313276651
00.13809722780.8619027722
00.11306444730.8869355527
00.09256934010.9074306599
00.07578936550.9242106345
00.06205108430.9379489157
00.0508031310.949196869
00.04159408570.9584059143
00.03405435710.9659456429
00.02788134940.9721186506
00.02282731820.9771726818
00.01868942740.9813105726
00.0153016090.984698391
00.01252789790.9874721021
00.01025697520.9897430248
00.00839770110.9916022989
00.00687545610.9931245439
00.00562914740.9943708526
00.00460875610.9953912439
00.00377333030.9962266697
00.00308934160.9969106584
00.0025293390.997470661
k1=10,0 min-1k2=0,2 min-1
A
R
S
Tempo (min)
Reaes de ordem 0, 1 e 2
Reao de Ordem Zero
C0 (mg/l)=100Tempo (min)k=1 mg/l.mink=3 mg/l.mink=8 mg/l.min
0111
10.990.970.92
20.980.940.84
30.970.910.76
40.960.880.68
50.950.850.6
60.940.820.52
70.930.790.44
80.920.760.36
90.910.730.28
100.90.70.2
110.890.670.12
120.880.640.04
130.870.61-0.04
140.860.58-0.12
150.850.55-0.2
160.840.52-0.28
170.830.49-0.36
180.820.46-0.44
190.810.43-0.52
200.80.4-0.6
210.790.37-0.68
220.780.34-0.76
230.770.31-0.84
240.760.28-0.92
250.750.25-1
260.740.22-1.08
270.730.19-1.16
280.720.16-1.24
290.710.13-1.32
300.70.1-1.4
Reao de Primeira Ordem
C0 (mg/l)=100Tempo (min)k=0,1min-1k=0,3 min-1k=0,5 min-1
0111
10.9048374180.74081822070.6065306597
20.81873075310.54881163610.3678794412
30.74081822070.40656965970.2231301601
40.6703200460.30119421190.1353352832
50.60653065970.22313016010.0820849986
60.54881163610.16529888820.0497870684
70.49658530380.12245642830.0301973834
80.44932896410.09071795330.0183156389
90.40656965970.06720551270.0111089965
100.36787944120.04978706840.006737947
110.33287108370.03688316740.0040867714
120.30119421190.02732372240.0024787522
130.2725317930.02024191140.0015034392
140.24659696390.01499557680.000911882
150.22313016010.01110899650.0005530844
160.2018965180.0082297470.0003354626
170.18268352410.00609674660.0002034684
180.16529888820.00451658090.0001234098
190.14956861920.00334596550.0000748518
200.13533528320.00247875220.0000453999
Reao de Segunda Ordem
C0 (mg/l)=100Tempo (min)0,01 l/(mg.min)0,03 l/(mg.min)0,06 l/(mg.min)
0111
10.50.250.1428571429
20.33333333330.14285714290.0769230769
30.250.10.0526315789
40.20.07692307690.04
50.16666666670.06250.0322580645
60.14285714290.05263157890.027027027
70.1250.04545454550.023255814
80.11111111110.040.0204081633
90.10.03571428570.0181818182
100.09090909090.03225806450.0163934426
110.08333333330.02941176470.0149253731
120.07692307690.0270270270.0136986301
130.07142857140.0250.0126582278
140.06666666670.0232558140.0117647059
150.06250.02173913040.010989011
160.05882352940.02040816330.0103092784
170.05555555560.01923076920.0097087379
180.05263157890.01818181820.0091743119
190.050.01724137930.0086956522
200.04761904760.01639344260.0082644628
Reaes de ordem 0, 1 e 2
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=1 mg/l.min
k=3 mg/l.min
k=8 mg/l.min
Tempo (min)
C/C0
Reao de Ordem Zero
Reaes em paralelo
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
k=0,1min-1
k=0,3 min-1
k=0,5 min-1
Tempo (min)
C/C0
Reao de Primeira Ordem
Reaes em srie
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
000
&A
Page &P
0,01 l/(mg.min)
0,03 l/(mg.min)
0,06 l/(mg.min)
Tempo (min)
C/C0
Reao de Segunda Ordem
Sheet4
Reaes em Paralelo
Dados de Entrada
A0=100
R0=0
S00
k1 (min-1)=0.1
k2 (min-1)=0.001
Tempo (min)ARS
0100
10.90393303290.0951158090.0009511581
20.81709492790.18109413080.0018109413
30.73859909640.25881277590.0025881278
40.66764412130.32906522650.0032906523
50.60350557540.39256873720.0039256