aula 1 - cinética e equilíbrio químico

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  • 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

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    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

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    000

    000

    000

    000

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    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

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    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

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    000

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    000

    000

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    000

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    000

    000

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    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

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    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

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    000

    000

    000

    000

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    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

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    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

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    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

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    Sheet4

    000

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    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

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    000

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    000

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    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

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    Sheet15

    &A

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    Sheet16

    &A

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  • 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

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    000

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    000

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    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

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    &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

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    000

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    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

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    Sheet4

    000

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    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

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    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

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    000

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    000

    000

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    000

    000

    000

    000

    000

    000

    000

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    Page &P

    k1=0,2 min-1k2=10,0 min-1

    A

    R

    S

    Tempo (min)

    Sheet7

    &A

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    Sheet8

    &A

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    Sheet9

    &A

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    Sheet10

    &A

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  • 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

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    000

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    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

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    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

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    000

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    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

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    Sheet4

    000

    000

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    000

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    000

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    000

    000

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    000

    000

    000

    000

    000

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    Page &P

    k1=0,1 min-1k2=0,001 min-1

    A

    R

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    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

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    000

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    000

    000

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    000

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    Page &P

    k1=0,2 min-1k2=0,2 min-1

    A

    R

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    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

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    Sheet9

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    Sheet10

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    Sheet11

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  • 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

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    000

    000

    &A

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    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