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Estudo de complexometria usando EDTAcjan corrigido
Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
* Estudo de complexometria usando EDTA Professor : Silvio Soriano Centro Federal de Educação Tecnológica de Química de Nilópolis/RJ * A molécula de EDTA tem seis sítios potenciais para a ligação de íon metálicos; quatro grupos carboxílicos e dois grupos amino, cada um dos últimos com um par de elétrons desemparelhados. Assim o EDTA é um ligante hexadentado * O EDTA * Constantes Ácidas * As Espécieis Mais Comuns * Constantes de Formação Ácidas Acumuladas * OS Alfas do EDTA Usando K * OS Alfas e as Espécies Usando os Betas Partindo do BM Teremos os Alfas e as Espécies * Contrução da Curva Alfa x pH do EDTA * Dados Fixos * Titulo das Colunas pH [H+] * Montagem da Planilha J2 calfa K1 = 0.001 pH [H+] [OH-] alfa(A-) Ca pCa pH(3G) pH(2G) pH(1G) pH(2G) pK1 = 3 0 1 0 0.000999001 1001 -3.0004340775 0 0.00 -0.0002170387 0.00 0.1 0.7943282347 0 0.0012573425 631.7516727149 -2.8005464005 0.1 0.10 0.0997267998 0.10 0.2 0.6309573445 0 0.0015823853 398.738127898 -2.6006877655 0.2 0.20 0.1996561173 0.20 0.3 0.5011872336 0 0.0019912892 251.6898303846 -2.4008656681 0.3 0.30 0.299567166 0.30 0.4 0.3981071706 0 0.0025055927 158.8874264167 -2.2010895306 0.4 0.40 0.3994552347 0.40 0.5 0.316227766 0 0.0031523092 100.316227766 -2.0013711928 0.5 0.50 0.4993144036 0.50 0.6 0.2511886432 0 0.0039652856 63.3469230912 -1.801725525 0.6 0.60 0.5991372375 0.60 0.7 0.1995262315 0 0.0049868787 40.0102432868 -1.6021711922 0.7 0.70 0.6989144039 0.70 0.8 0.1584893192 0 0.0062700123 25.2773536343 -1.4027316043 0.8 0.80 0.7986341978 0.80 0.9 0.1258925412 0 0.0078806839 15.9748244658 -1.2034360948 0.9 0.90 0.8982819526 0.90 1 0.1 0 0.0099009901 10.1 -1.0043213738 1 1.00 0.9978393131 1.00 1.1 0.0794328235 0 0.0124327353 6.3890062683 -0.8054333142 1.1 1.10 1.0972833429 1.10 2.2 0.0063095734 0 0.1368068886 0.0461202905 1.336107966 2.2 2.20 2.168053983 2.20 2.3 0.0050118723 0 0.1663375308 0.0301307366 1.5209902505 2.3 2.30 2.2604951253 2.30 2.4 0.0039810717 0 0.2007600089 0.0198300036 1.7026772066 2.4 2.40 2.3513386033 2.40 2.5 0.0031622777 0 0.2402530734 0.0131622776 1.8806689524 2.5 2.50 2.4403344762 2.50 2.6 0.0025118864 0 0.284747249 0.0088214599 2.0544595376 2.6 2.60 2.5272297688 2.60 2.7 0.0019952623 0 0.3338605754 0.005976334 2.2235651387 2.7 2.70 2.6117825693 2.70 2.8 0.0015848932 0 0.3868631798 0.0040967796 2.3875573989 2.8 2.80 2.6937786995 2.80 2.9 0.0012589254 0 0.4426883662 0.0028438186 2.5460981117 2.9 2.90 2.7730490558 2.90 3 0.001 0 0.5 0.002 2.6989700087 3 3.00 2.8494850043 3.00 3.1 0.0007943282 0 0.5573116338 0.0014252856 2.8460981158 3.1 3.10 2.9230490579 3.10 3.2 0.0006309573 0 0.6131368202 0.0010290645 2.9875574081 3.2 3.20 2.9937787041 3.20 3.3 0.0005011872 0 0.6661394246 0.0007523758 3.1235651549 3.3 3.30 3.0617825774 3.30 3.4 0.0003981072 0 0.715252751 0.0005565965 3.2544595643 3.4 3.40 3.1272297821 3.40 3.5 0.0003162278 0 0.7597469266 0.0004162277 3.3806689954 3.5 3.50 3.1903344977 3.50 3.6 0.0002511886 0 0.7992399911 0.0003142843 3.5026772751 3.6 3.60 3.2513386376 3.60 3.7 0.0001995262 0.0000000001 0.8336624692 0.0002393369 3.6209903594 3.7 3.70 3.3104951797 3.70 3.8 0.0001584893 0.0000000001 0.8631931114 0.0001836081 3.7361081388 3.8 3.80 3.3680540694 3.80 3.9 0.0001258925 0.0000000001 0.8881842302 0.0001417414 3.848503332 3.9 3.90 3.424251666 3.90 4 0.0001 0.0000000001 0.9090909091 0.0001099999 3.9586077491 4 4.00 3.4793038746 4.00 4.1 0.0000794328 0.0000000001 0.9264124439 0.0000857423 4.0668050683 4.1 4.10 3.5334025342 4.10 4.2 0.0000630957 0.0000000002 0.9406490569 0.0000670766 4.1734287153 4.2 4.20 3.5867143577 4.20 4.3 0.0000501187 0.0000000002 0.952273279 0.0000526304 4.278763327 4.3 4.30 3.6393816635 4.30 4.4 0.0000398107 0.0000000003 0.9617134961 0.0000413953 4.3830484509 4.4 4.40 3.6915242255 4.40 4.5 0.0000316228 0.0000000003 0.96934657 0.0000326225 4.4864834209 4.5 4.50 3.7432417104 4.50 4.6 0.0000251189 0.0000000004 0.9754966324 0.0000257494 4.5892326576 4.6 4.60 3.7946163288 4.60 4.7 0.0000199526 0.0000000005 0.9804376961 0.0000203502 4.6914309099 4.7 4.70 3.8457154549 4.70 4.8 0.0000158489 0.0000000006 0.9843983378 0.0000160995 4.7931881616 4.8 4.80 3.8965940808 4.80 4.9 0.0000125893 0.0000000008 0.9875672647 0.0000127469 4.8945940888 4.9 4.90 3.9472970444 4.90 5 0.00001 0.000000001 0.9900990099 0.000010099 4.9957220578 5 5.00 3.9978610289 5.00 5.1 0.0000079433 0.0000000013 0.9921193161 0.0000080051 5.0966327417 5.1 5.10 4.0483163709 5.10 5.2 0.0000063096 0.0000000016 0.9937299877 0.0000063478 5.1973774992 5.2 5.20 4.0986887496 5.20 5.3 0.0000050119 0.000000002 0.9950131213 0.000005035 5.298001738 5.3 5.30 4.149000869 5.30 5.4 0.0000039811 0.0000000025 0.9960347144 0.0000039944 5.3985485827 5.4 5.40 4.1992742914 5.40 5.5 0.0000031623 0.0000000032 0.9968476908 0.0000031691 5.4990633189 5.5 5.50 4.2495316595 5.50 5.6 0.0000025119 0.000000004 0.9974944073 0.0000025142 5.5995993258 5.6 5.60 4.2997996629 5.60 5.7 0.0000019953 0.000000005 0.9980087108 0.0000019942 5.7002266027 5.7 5.70 4.3501133014 5.70 5.8 0.0000015849 0.0000000063 0.9984176147 0.0000015811 5.8010446427 5.8 5.80 4.4005223213 5.80 5.9 0.0000012589 0.0000000079 0.9987426575 0.0000012526 5.9022024938 5.9 5.90 4.4511012469 5.90 6 0.000001 0.00000001 0.999000999 0.000000991 6.0039307279 6 6.00 4.501965364 6.00 6.1 0.0000007943 0.0000000126 0.9992063022 0.0000007824 6.1065933964 6.1 6.11 4.5532966982 6.11 6.2 0.000000631 0.0000000158 0.9993694405 0.0000006155 6.2107743984 6.2 6.21 4.6053871992 6.21 6.3 0.0000005012 0.00000002 0.9994990638 0.0000004815 6.3174255374 6.3 6.32 4.6587127687 6.32 6.4 0.0000003981 0.0000000251 0.9996020513 0.0000003731 6.4281319224 6.4 6.43 4.7140659612 6.43 6.5 0.0000003162 0.0000000316 0.9996838722 0.0000002847 6.5456201763 6.5 6.55 4.7728100881 6.55 6.6 0.0000002512 0.0000000398 0.9997488744 0.0000002114 6.6748312913 6.6 6.67 4.8374156456 6.67 6.7 0.0000001995 0.0000000501 0.9998005136 0.0000001494 6.825540933 6.7 6.83 4.9127704665 6.83 6.8 0.0000001585 0.0000000631 0.9998415358 0.0000000954 7.020412005 6.8 7.02 5.0102060025 7.02 6.9 0.0000001259 0.0000000794 0.9998741233 0.0000000465 7.3328687623 6.9 7.33 5.1664343812 7.33 6.99 0.0000001023 0.0000000977 0.9998976812 0.0000000046 8.3366715011 6.99 8.34 5.6683357506 8.34 6.999 0.0000001002 0.0000000998 0.9998997795 0.0000000005 9.3367104045 6.999 9.34 6.1683552022 9.34 6.9999 0.0000001 0.0000001 0.999899987 0 10.3367108745 6.9999 10.34 6.6683554373 10.34 calfa 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 pH(3) pH(1) pH(2) pCa pH Cálculo de pH (HA) Comp de Modelos salfa Ka= 1.00E-05 pH [H+] [OH-] [A-] [HA] Ca pCa pH(3G) pH(1G) pH(2G) 0 1 0 1 1.00E+05 1.00E+05 -5.0000043429 0 -0.0000021715 0.00 0.25 0.5623413252 0 0.5623413252 3.16E+04 3.16E+04 -4.5000077229 0.25 0.2499961385 0.25 0.5 0.316227766 0 0.316227766 1.00E+04 1.00E+04 -4.0000137334 0.5 0.4999931333 0.50 0.75 0.177827941 0 0.177827941 3.16E+03 3.16E+03 -3.5000244215 0.75 0.7499877893 0.75 1 0.1 0 0.1 1.00E+03 1.00E+03 -3.0000434273 1 0.9999782864 1.00 1.25 0.0562341325 0 0.0562341325 3.16E+02 3.16E+02 -2.5000772228 1.25 1.2499613886 1.25 1.5 0.0316227766 0 0.0316227766 1.00E+02 1.00E+02 -2.0001373143 1.5 1.4999313429 1.50 1.75 0.0177827941 0 0.0177827941 3.16E+01 3.16E+01 -1.5002441531 1.75 1.7498779235 1.75 2 0.01 0 0.01 1.00E+01 1.00E+01 -1.0004340774 2 1.9997829613 2.00 2.25 0.0056234133 0 0.0056234133 3.16E+00 3.17E+00 -0.5007716109 2.25 2.2496141945 2.25 2.5 0.0031622777 0 0.0031622777 1.00E+00 1.00E+00 -0.0013711924 2.5 2.4993144038 2.50 2.75 0.0017782794 0 0.0017782794 3.16E-01 3.18E-01 0.4975646252 2.75 2.7487823126 2.75 3 0.001 0 0.001 1.00E-01 1.01E-01 0.9956786306 3 2.9978393153 3.00 3.25 0.0005623413 0 0.0005623413 3.16E-02 3.22E-02 1.492344909 3.25 3.2461724545 3.25 3.5 0.0003162278 0 0.0003162277 1.00E-02 1.03E-02 1.9864791213 3.5 3.4932395607 3.50 3.75 0.0001778279 0.0000000001 0.0001778279 3.16E-03 3.34E-03 2.4762399396 3.75 3.7381199698 3.75 4 0.0001 0.0000000001 0.0000999999 1.00E-03 1.10E-03 2.9586077491 4 3.9793038746 4.00 4.25 0.0000562341 0.0000000002 0.000056234 3.16E-04 3.72E-04 3.4289195207 4.25 4.2144597604 4.25 4.5 0.0000316228 0.0000000003 0.0000316225 1.00E-04 1.32E-04 3.8806732949 4.5 4.4403366475 4.50 4.75 0.0000177828 0.0000000006 0.0000177822 3.16E-05 4.94E-05 4.3062378135 4.75 4.6531189067 4.75 5 0.00001 0.000000001 0.000009999 1.00E-05 2.00E-05 4.699013436 5 4.849506718 5.00 5.25 0.0000056234 0.0000000018 0.0000056216 3.16E-06 8.78E-06 5.0563614373 5.25 5.0281807187 5.25 5.5 0.0000031623 0.0000000032 0.0000031591 9.99E-07 4.16E-06 5.3811034637 5.5 5.1905517319 5.50 5.75 0.0000017783 0.0000000056 0.0000017727 3.15E-07 2.09E-06 5.6802936831 5.75 5.3401468416 5.75 6 0.000001 0.00000001 0.00000099 9.90E-08 1.09E-06 5.9629721202 6 5.4814860601 6.00 6.25 0.0000005623 0.0000000178 0.0000005446 3.06E-08 5.75E-07 6.2401952361 6.25 5.6200976181 6.26 6.5 0.0000003162 0.0000000316 0.0000002846 9.00E-09 2.94E-07 6.5322365685 6.5 5.7661182842 6.54 6.75 0.0000001778 0.0000000562 0.0000001216 2.16E-09 1.24E-07 6.9074334339 6.75 5.9537167169 6.91 6.9 0.0000001259 0.0000000794 0.0000000465 5.85E-10 4.70E-08 7.3274901191 6.9 6.1637450596 7.33 6.99 0.0000001023 0.0000000977 0.0000000046 4.71E-11 4.65E-09 8.3322944191 6.99 6.6661472095 8.33 6.999 0.0000001002 0.0000000998 0.0000000005 4.62E-12 4.65E-10 9.3324226458 6.999 7.1662113229 9.33 6.9999 0.0000001 0.0000001 0 4.61E-13 4.65E-11 10.3324319478 6.9999 7.6662159739 10.33 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 salfa 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 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 pH(3G) pH(1G) pH(2G) pCa pH Cálculo de pH (HA) Comp de Modelos Plan3 A B C D E F G H I J K L M N O P 1 2 3 4 α Célula Título Fórmula Matemática Fórmula Exel D2 E2 F2 G2 H2 I2 H2 I2 J2 K2 I2 Plan3 -1.0043213742 -3.0043213742 -10.0043213742 -22.0043213742 0 -14 -1.0076551061 -2.7576551061 -9.5076551061 -21.2576551061 -0.25 -13.75 -1.0135209263 -2.5135209263 -9.0135209263 -20.5135209263 -0.5 -13.5 -1.0237602107 -2.2737602107 -8.5237602107 -19.7737602107 -0.75 -13.25 -1.0413927246 -2.0413927246 -8.0413927246 -19.0413927246 -1 -13 -1.0710819693 -1.8210819693 -7.5710819693 -18.3210819693 -1.25 -12.75 -1.119331378 -1.619331378 -7.119331378 -17.619331378 -1.5 -12.5 -1.1937767994 -1.4437767994 -6.6937767994 -16.9437767994 -1.75 -12.25 -1.3010321671 -1.3010321671 -6.3010321671 -16.3010321671 -2 -12 -1.4437808635 -1.1937808635 -5.9437808635 -15.6937808635 -2.25 -11.75 -1.619341482 -1.119341482 -5.619341482 -15.119341482 -2.5 -11.5 -1.8211025871 -1.0711025871 -5.3211025871 -14.5711025871 -2.75 -11.25 -2.0414321647 -1.0414321647 -5.0414321647 -14.0414321647 -3 -11 -2.2738333095 -1.0238333095 -4.7738333095 -13.5238333095 -3.25 -10.75 -2.5136540279 -1.0136540279 -4.5136540279 -13.0136540279 -3.5 -10.5 -2.7578949931 -1.0078949931 -4.2578949931 -12.5078949931 -3.75 -10.25 -3.0047511556 -1.0047511556 -4.0047511556 -12.0047511556 -4 -10 -3.2532026762 -1.0032026762 -3.7532026762 -11.5032026762 -4.25 -9.75 -3.5027380701 -1.0027380701 -3.5027380701 -11.0027380701 -4.5 -9.5 -3.7532026764 -1.0032026764 -3.2532026764 -10.5032026764 -4.75 -9.25 -4.004751156 -1.004751156 -3.004751156 -10.004751156 -5 -9 -4.2578949945 -1.0078949945 -2.7578949945 -9.5078949945 -5.25 -8.75 -4.5136540321 -1.0136540321 -2.5136540321 -9.0136540321 -5.5 -8.5 -4.7738333225 -1.0238333225 -2.2738333225 -8.5238333225 -5.75 -8.25 -5.0414322042 -1.0414322042 -2.0414322042 -8.0414322042 -6 -8 -5.3211027037 -1.0711027037 -1.8211027037 -7.5711027037 -6.25 -7.75 -5.6193418119 -1.1193418119 -1.6193418119 -7.1193418119 -6.5 -7.5 -5.9437817426 -1.1937817426 -1.4437817426 -6.6937817426 -6.75 -7.25 -6.3010343386 -1.3010343386 -1.3010343386 -6.3010343386 -7 -7 -6.6937817426 -1.4437817426 -1.1937817426 -5.9437817426 -7.25 -6.75 -7.1193418119 -1.6193418119 -1.1193418119 -5.6193418119 -7.5 -6.5 -7.5711027037 -1.8211027037 -1.0711027037 -5.3211027037 -7.75 -6.25 -8.0414322042 -2.0414322042 -1.0414322042 -5.0414322042 -8 -6 -8.5238333225 -2.2738333225 -1.0238333225 -4.7738333225 -8.25 -5.75 -9.0136540321 -2.5136540321 -1.0136540321 -4.5136540321 -8.5 -5.5 -9.5078949945 -2.7578949945 -1.0078949945 -4.2578949945 -8.75 -5.25 -10.004751156 -3.004751156 -1.004751156 -4.004751156 -9 -5 -10.5032026764 -3.2532026764 -1.0032026764 -3.7532026764 -9.25 -4.75 -11.0027380701 -3.5027380701 -1.0027380701 -3.5027380701 -9.5 -4.5 -11.5032026762 -3.7532026762 -1.0032026762 -3.2532026762 -9.75 -4.25 -12.0047511556 -4.0047511556 -1.0047511556 -3.0047511556 -10 -4 -12.5078949931 -4.2578949931 -1.0078949931 -2.7578949931 -10.25 -3.75 -13.0136540279 -4.5136540279 -1.0136540279 -2.5136540279 -10.5 -3.5 -13.5238333095 -4.7738333095 -1.0238333095 -2.2738333095 -10.75 -3.25 -14.0414321647 -5.0414321647 -1.0414321647 -2.0414321647 -11 -3 -14.5711025871 -5.3211025871 -1.0711025871 -1.8211025871 -11.25 -2.75 -15.119341482 -5.619341482 -1.119341482 -1.619341482 -11.5 -2.5 -15.6937808635 -5.9437808635 -1.1937808635 -1.4437808635 -11.75 -2.25 -16.3010321671 -6.3010321671 -1.3010321671 -1.3010321671 -12 -2 -16.9437767994 -6.6937767994 -1.4437767994 -1.1937767994 -12.25 -1.75 -17.619331378 -7.119331378 -1.619331378 -1.119331378 -12.5 -1.5 -18.3210819693 -7.5710819693 -1.8210819693 -1.0710819693 -12.75 -1.25 -19.0413927246 -8.0413927246 -2.0413927246 -1.0413927246 -13 -1 -19.7737602107 -8.5237602107 -2.2737602107 -1.0237602107 -13.25 -0.75 -20.5135209263 -9.0135209263 -2.5135209263 -1.0135209263 -13.5 -0.5 -21.2576551061 -9.5076551061 -2.7576551061 -1.0076551061 -13.75 -0.25 -22.0043213742 -10.0043213742 -3.0043213742 -1.0043213742 -14 0 log(H3A) log(H2A) log(HA) log(A) log(H+) log(OH) pH log [Espécie] Curva de Especiação Sistema triprótico * Contrução da Curva de Especiação do EDTA * Dados Fixos 10^-2 * Título das Colunas pH [H+] [OH-] -pH -pOH * Montagem da Planilha calfa K1 = 0.001 pH [H+] [OH-] alfa(A-) Ca pCa pH(3G) pH(2G) pH(1G) pH(2G) pK1 = 3 0 1 0 0.000999001 1001 -3.0004340775 0 0.00 -0.0002170387 0.00 0.1 0.7943282347 0 0.0012573425 631.7516727149 -2.8005464005 0.1 0.10 0.0997267998 0.10 0.2 0.6309573445 0 0.0015823853 398.738127898 -2.6006877655 0.2 0.20 0.1996561173 0.20 0.3 0.5011872336 0 0.0019912892 251.6898303846 -2.4008656681 0.3 0.30 0.299567166 0.30 0.4 0.3981071706 0 0.0025055927 158.8874264167 -2.2010895306 0.4 0.40 0.3994552347 0.40 0.5 0.316227766 0 0.0031523092 100.316227766 -2.0013711928 0.5 0.50 0.4993144036 0.50 0.6 0.2511886432 0 0.0039652856 63.3469230912 -1.801725525 0.6 0.60 0.5991372375 0.60 0.7 0.1995262315 0 0.0049868787 40.0102432868 -1.6021711922 0.7 0.70 0.6989144039 0.70 0.8 0.1584893192 0 0.0062700123 25.2773536343 -1.4027316043 0.8 0.80 0.7986341978 0.80 0.9 0.1258925412 0 0.0078806839 15.9748244658 -1.2034360948 0.9 0.90 0.8982819526 0.90 1 0.1 0 0.0099009901 10.1 -1.0043213738 1 1.00 0.9978393131 1.00 1.1 0.0794328235 0 0.0124327353 6.3890062683 -0.8054333142 1.1 1.10 1.0972833429 1.10 2.2 0.0063095734 0 0.1368068886 0.0461202905 1.336107966 2.2 2.20 2.168053983 2.20 2.3 0.0050118723 0 0.1663375308 0.0301307366 1.5209902505 2.3 2.30 2.2604951253 2.30 2.4 0.0039810717 0 0.2007600089 0.0198300036 1.7026772066 2.4 2.40 2.3513386033 2.40 2.5 0.0031622777 0 0.2402530734 0.0131622776 1.8806689524 2.5 2.50 2.4403344762 2.50 2.6 0.0025118864 0 0.284747249 0.0088214599 2.0544595376 2.6 2.60 2.5272297688 2.60 2.7 0.0019952623 0 0.3338605754 0.005976334 2.2235651387 2.7 2.70 2.6117825693 2.70 2.8 0.0015848932 0 0.3868631798 0.0040967796 2.3875573989 2.8 2.80 2.6937786995 2.80 2.9 0.0012589254 0 0.4426883662 0.0028438186 2.5460981117 2.9 2.90 2.7730490558 2.90 3 0.001 0 0.5 0.002 2.6989700087 3 3.00 2.8494850043 3.00 3.1 0.0007943282 0 0.5573116338 0.0014252856 2.8460981158 3.1 3.10 2.9230490579 3.10 3.2 0.0006309573 0 0.6131368202 0.0010290645 2.9875574081 3.2 3.20 2.9937787041 3.20 3.3 0.0005011872 0 0.6661394246 0.0007523758 3.1235651549 3.3 3.30 3.0617825774 3.30 3.4 0.0003981072 0 0.715252751 0.0005565965 3.2544595643 3.4 3.40 3.1272297821 3.40 3.5 0.0003162278 0 0.7597469266 0.0004162277 3.3806689954 3.5 3.50 3.1903344977 3.50 3.6 0.0002511886 0 0.7992399911 0.0003142843 3.5026772751 3.6 3.60 3.2513386376 3.60 3.7 0.0001995262 0.0000000001 0.8336624692 0.0002393369 3.6209903594 3.7 3.70 3.3104951797 3.70 3.8 0.0001584893 0.0000000001 0.8631931114 0.0001836081 3.7361081388 3.8 3.80 3.3680540694 3.80 3.9 0.0001258925 0.0000000001 0.8881842302 0.0001417414 3.848503332 3.9 3.90 3.424251666 3.90 4 0.0001 0.0000000001 0.9090909091 0.0001099999 3.9586077491 4 4.00 3.4793038746 4.00 4.1 0.0000794328 0.0000000001 0.9264124439 0.0000857423 4.0668050683 4.1 4.10 3.5334025342 4.10 4.2 0.0000630957 0.0000000002 0.9406490569 0.0000670766 4.1734287153 4.2 4.20 3.5867143577 4.20 4.3 0.0000501187 0.0000000002 0.952273279 0.0000526304 4.278763327 4.3 4.30 3.6393816635 4.30 4.4 0.0000398107 0.0000000003 0.9617134961 0.0000413953 4.3830484509 4.4 4.40 3.6915242255 4.40 4.5 0.0000316228 0.0000000003 0.96934657 0.0000326225 4.4864834209 4.5 4.50 3.7432417104 4.50 4.6 0.0000251189 0.0000000004 0.9754966324 0.0000257494 4.5892326576 4.6 4.60 3.7946163288 4.60 4.7 0.0000199526 0.0000000005 0.9804376961 0.0000203502 4.6914309099 4.7 4.70 3.8457154549 4.70 4.8 0.0000158489 0.0000000006 0.9843983378 0.0000160995 4.7931881616 4.8 4.80 3.8965940808 4.80 4.9 0.0000125893 0.0000000008 0.9875672647 0.0000127469 4.8945940888 4.9 4.90 3.9472970444 4.90 5 0.00001 0.000000001 0.9900990099 0.000010099 4.9957220578 5 5.00 3.9978610289 5.00 5.1 0.0000079433 0.0000000013 0.9921193161 0.0000080051 5.0966327417 5.1 5.10 4.0483163709 5.10 5.2 0.0000063096 0.0000000016 0.9937299877 0.0000063478 5.1973774992 5.2 5.20 4.0986887496 5.20 5.3 0.0000050119 0.000000002 0.9950131213 0.000005035 5.298001738 5.3 5.30 4.149000869 5.30 5.4 0.0000039811 0.0000000025 0.9960347144 0.0000039944 5.3985485827 5.4 5.40 4.1992742914 5.40 5.5 0.0000031623 0.0000000032 0.9968476908 0.0000031691 5.4990633189 5.5 5.50 4.2495316595 5.50 5.6 0.0000025119 0.000000004 0.9974944073 0.0000025142 5.5995993258 5.6 5.60 4.2997996629 5.60 5.7 0.0000019953 0.000000005 0.9980087108 0.0000019942 5.7002266027 5.7 5.70 4.3501133014 5.70 5.8 0.0000015849 0.0000000063 0.9984176147 0.0000015811 5.8010446427 5.8 5.80 4.4005223213 5.80 5.9 0.0000012589 0.0000000079 0.9987426575 0.0000012526 5.9022024938 5.9 5.90 4.4511012469 5.90 6 0.000001 0.00000001 0.999000999 0.000000991 6.0039307279 6 6.00 4.501965364 6.00 6.1 0.0000007943 0.0000000126 0.9992063022 0.0000007824 6.1065933964 6.1 6.11 4.5532966982 6.11 6.2 0.000000631 0.0000000158 0.9993694405 0.0000006155 6.2107743984 6.2 6.21 4.6053871992 6.21 6.3 0.0000005012 0.00000002 0.9994990638 0.0000004815 6.3174255374 6.3 6.32 4.6587127687 6.32 6.4 0.0000003981 0.0000000251 0.9996020513 0.0000003731 6.4281319224 6.4 6.43 4.7140659612 6.43 6.5 0.0000003162 0.0000000316 0.9996838722 0.0000002847 6.5456201763 6.5 6.55 4.7728100881 6.55 6.6 0.0000002512 0.0000000398 0.9997488744 0.0000002114 6.6748312913 6.6 6.67 4.8374156456 6.67 6.7 0.0000001995 0.0000000501 0.9998005136 0.0000001494 6.825540933 6.7 6.83 4.9127704665 6.83 6.8 0.0000001585 0.0000000631 0.9998415358 0.0000000954 7.020412005 6.8 7.02 5.0102060025 7.02 6.9 0.0000001259 0.0000000794 0.9998741233 0.0000000465 7.3328687623 6.9 7.33 5.1664343812 7.33 6.99 0.0000001023 0.0000000977 0.9998976812 0.0000000046 8.3366715011 6.99 8.34 5.6683357506 8.34 6.999 0.0000001002 0.0000000998 0.9998997795 0.0000000005 9.3367104045 6.999 9.34 6.1683552022 9.34 6.9999 0.0000001 0.0000001 0.999899987 0 10.3367108745 6.9999 10.34 6.6683554373 10.34 calfa 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 pH(3) pH(1) pH(2) pCa pH Cálculo de pH (HA) Comp de Modelos salfa Ka= 1.00E-05 pH [H+] [OH-] [A-] [HA] Ca pCa pH(3G) pH(1G) pH(2G) 0 1 0 1 1.00E+05 1.00E+05 -5.0000043429 0 -0.0000021715 0.00 0.25 0.5623413252 0 0.5623413252 3.16E+04 3.16E+04 -4.5000077229 0.25 0.2499961385 0.25 0.5 0.316227766 0 0.316227766 1.00E+04 1.00E+04 -4.0000137334 0.5 0.4999931333 0.50 0.75 0.177827941 0 0.177827941 3.16E+03 3.16E+03 -3.5000244215 0.75 0.7499877893 0.75 1 0.1 0 0.1 1.00E+03 1.00E+03 -3.0000434273 1 0.9999782864 1.00 1.25 0.0562341325 0 0.0562341325 3.16E+02 3.16E+02 -2.5000772228 1.25 1.2499613886 1.25 1.5 0.0316227766 0 0.0316227766 1.00E+02 1.00E+02 -2.0001373143 1.5 1.4999313429 1.50 1.75 0.0177827941 0 0.0177827941 3.16E+01 3.16E+01 -1.5002441531 1.75 1.7498779235 1.75 2 0.01 0 0.01 1.00E+01 1.00E+01 -1.0004340774 2 1.9997829613 2.00 2.25 0.0056234133 0 0.0056234133 3.16E+00 3.17E+00 -0.5007716109 2.25 2.2496141945 2.25 2.5 0.0031622777 0 0.0031622777 1.00E+00 1.00E+00 -0.0013711924 2.5 2.4993144038 2.50 2.75 0.0017782794 0 0.0017782794 3.16E-01 3.18E-01 0.4975646252 2.75 2.7487823126 2.75 3 0.001 0 0.001 1.00E-01 1.01E-01 0.9956786306 3 2.9978393153 3.00 3.25 0.0005623413 0 0.0005623413 3.16E-02 3.22E-02 1.492344909 3.25 3.2461724545 3.25 3.5 0.0003162278 0 0.0003162277 1.00E-02 1.03E-02 1.9864791213 3.5 3.4932395607 3.50 3.75 0.0001778279 0.0000000001 0.0001778279 3.16E-03 3.34E-03 2.4762399396 3.75 3.7381199698 3.75 4 0.0001 0.0000000001 0.0000999999 1.00E-03 1.10E-03 2.9586077491 4 3.9793038746 4.00 4.25 0.0000562341 0.0000000002 0.000056234 3.16E-04 3.72E-04 3.4289195207 4.25 4.2144597604 4.25 4.5 0.0000316228 0.0000000003 0.0000316225 1.00E-04 1.32E-04 3.8806732949 4.5 4.4403366475 4.50 4.75 0.0000177828 0.0000000006 0.0000177822 3.16E-05 4.94E-05 4.3062378135 4.75 4.6531189067 4.75 5 0.00001 0.000000001 0.000009999 1.00E-05 2.00E-05 4.699013436 5 4.849506718 5.00 5.25 0.0000056234 0.0000000018 0.0000056216 3.16E-06 8.78E-06 5.0563614373 5.25 5.0281807187 5.25 5.5 0.0000031623 0.0000000032 0.0000031591 9.99E-07 4.16E-06 5.3811034637 5.5 5.1905517319 5.50 5.75 0.0000017783 0.0000000056 0.0000017727 3.15E-07 2.09E-06 5.6802936831 5.75 5.3401468416 5.75 6 0.000001 0.00000001 0.00000099 9.90E-08 1.09E-06 5.9629721202 6 5.4814860601 6.00 6.25 0.0000005623 0.0000000178 0.0000005446 3.06E-08 5.75E-07 6.2401952361 6.25 5.6200976181 6.26 6.5 0.0000003162 0.0000000316 0.0000002846 9.00E-09 2.94E-07 6.5322365685 6.5 5.7661182842 6.54 6.75 0.0000001778 0.0000000562 0.0000001216 2.16E-09 1.24E-07 6.9074334339 6.75 5.9537167169 6.91 6.9 0.0000001259 0.0000000794 0.0000000465 5.85E-10 4.70E-08 7.3274901191 6.9 6.1637450596 7.33 6.99 0.0000001023 0.0000000977 0.0000000046 4.71E-11 4.65E-09 8.3322944191 6.99 6.6661472095 8.33 6.999 0.0000001002 0.0000000998 0.0000000005 4.62E-12 4.65E-10 9.3324226458 6.999 7.1662113229 9.33 6.9999 0.0000001 0.0000001 0 4.61E-13 4.65E-11 10.3324319478 6.9999 7.6662159739 10.33 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 salfa 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 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 pH(3G) pH(1G) pH(2G) pCa pH Cálculo de pH (HA) Comp de Modelos Plan3 A B C D E F G H I J K L M N O P 1 2 3 4 α Célula Título Fórmula Matemática Fórmula Exel D2 E2 F2 G2 H2 I2 H2 I2 J2 K2 I2 Plan3 -1.0043213742 -3.0043213742 -10.0043213742 -22.0043213742 0 -14 -1.0076551061 -2.7576551061 -9.5076551061 -21.2576551061 -0.25 -13.75 -1.0135209263 -2.5135209263 -9.0135209263 -20.5135209263 -0.5 -13.5 -1.0237602107 -2.2737602107 -8.5237602107 -19.7737602107 -0.75 -13.25 -1.0413927246 -2.0413927246 -8.0413927246 -19.0413927246 -1 -13 -1.0710819693 -1.8210819693 -7.5710819693 -18.3210819693 -1.25 -12.75 -1.119331378 -1.619331378 -7.119331378 -17.619331378 -1.5 -12.5 -1.1937767994 -1.4437767994 -6.6937767994 -16.9437767994 -1.75 -12.25 -1.3010321671 -1.3010321671 -6.3010321671 -16.3010321671 -2 -12 -1.4437808635 -1.1937808635 -5.9437808635 -15.6937808635 -2.25 -11.75 -1.619341482 -1.119341482 -5.619341482 -15.119341482 -2.5 -11.5 -1.8211025871 -1.0711025871 -5.3211025871 -14.5711025871 -2.75 -11.25 -2.0414321647 -1.0414321647 -5.0414321647 -14.0414321647 -3 -11 -2.2738333095 -1.0238333095 -4.7738333095 -13.5238333095 -3.25 -10.75 -2.5136540279 -1.0136540279 -4.5136540279 -13.0136540279 -3.5 -10.5 -2.7578949931 -1.0078949931 -4.2578949931 -12.5078949931 -3.75 -10.25 -3.0047511556 -1.0047511556 -4.0047511556 -12.0047511556 -4 -10 -3.2532026762 -1.0032026762 -3.7532026762 -11.5032026762 -4.25 -9.75 -3.5027380701 -1.0027380701 -3.5027380701 -11.0027380701 -4.5 -9.5 -3.7532026764 -1.0032026764 -3.2532026764 -10.5032026764 -4.75 -9.25 -4.004751156 -1.004751156 -3.004751156 -10.004751156 -5 -9 -4.2578949945 -1.0078949945 -2.7578949945 -9.5078949945 -5.25 -8.75 -4.5136540321 -1.0136540321 -2.5136540321 -9.0136540321 -5.5 -8.5 -4.7738333225 -1.0238333225 -2.2738333225 -8.5238333225 -5.75 -8.25 -5.0414322042 -1.0414322042 -2.0414322042 -8.0414322042 -6 -8 -5.3211027037 -1.0711027037 -1.8211027037 -7.5711027037 -6.25 -7.75 -5.6193418119 -1.1193418119 -1.6193418119 -7.1193418119 -6.5 -7.5 -5.9437817426 -1.1937817426 -1.4437817426 -6.6937817426 -6.75 -7.25 -6.3010343386 -1.3010343386 -1.3010343386 -6.3010343386 -7 -7 -6.6937817426 -1.4437817426 -1.1937817426 -5.9437817426 -7.25 -6.75 -7.1193418119 -1.6193418119 -1.1193418119 -5.6193418119 -7.5 -6.5 -7.5711027037 -1.8211027037 -1.0711027037 -5.3211027037 -7.75 -6.25 -8.0414322042 -2.0414322042 -1.0414322042 -5.0414322042 -8 -6 -8.5238333225 -2.2738333225 -1.0238333225 -4.7738333225 -8.25 -5.75 -9.0136540321 -2.5136540321 -1.0136540321 -4.5136540321 -8.5 -5.5 -9.5078949945 -2.7578949945 -1.0078949945 -4.2578949945 -8.75 -5.25 -10.004751156 -3.004751156 -1.004751156 -4.004751156 -9 -5 -10.5032026764 -3.2532026764 -1.0032026764 -3.7532026764 -9.25 -4.75 -11.0027380701 -3.5027380701 -1.0027380701 -3.5027380701 -9.5 -4.5 -11.5032026762 -3.7532026762 -1.0032026762 -3.2532026762 -9.75 -4.25 -12.0047511556 -4.0047511556 -1.0047511556 -3.0047511556 -10 -4 -12.5078949931 -4.2578949931 -1.0078949931 -2.7578949931 -10.25 -3.75 -13.0136540279 -4.5136540279 -1.0136540279 -2.5136540279 -10.5 -3.5 -13.5238333095 -4.7738333095 -1.0238333095 -2.2738333095 -10.75 -3.25 -14.0414321647 -5.0414321647 -1.0414321647 -2.0414321647 -11 -3 -14.5711025871 -5.3211025871 -1.0711025871 -1.8211025871 -11.25 -2.75 -15.119341482 -5.619341482 -1.119341482 -1.619341482 -11.5 -2.5 -15.6937808635 -5.9437808635 -1.1937808635 -1.4437808635 -11.75 -2.25 -16.3010321671 -6.3010321671 -1.3010321671 -1.3010321671 -12 -2 -16.9437767994 -6.6937767994 -1.4437767994 -1.1937767994 -12.25 -1.75 -17.619331378 -7.119331378 -1.619331378 -1.119331378 -12.5 -1.5 -18.3210819693 -7.5710819693 -1.8210819693 -1.0710819693 -12.75 -1.25 -19.0413927246 -8.0413927246 -2.0413927246 -1.0413927246 -13 -1 -19.7737602107 -8.5237602107 -2.2737602107 -1.0237602107 -13.25 -0.75 -20.5135209263 -9.0135209263 -2.5135209263 -1.0135209263 -13.5 -0.5 -21.2576551061 -9.5076551061 -2.7576551061 -1.0076551061 -13.75 -0.25 -22.0043213742 -10.0043213742 -3.0043213742 -1.0043213742 -14 0 log(H3A) log(H2A) log(HA) log(A) log(H+) log(OH) pH log [Espécie] Curva de Especiação Sistema triprótico * calfa K1 = 0.001 pH [H+] [OH-] alfa(A-) Ca pCa pH(3G) pH(2G) pH(1G) pH(2G) pK1 = 3 0 1 0 0.000999001 1001 -3.0004340775 0 0.00 -0.0002170387 0.00 0.1 0.7943282347 0 0.0012573425 631.7516727149 -2.8005464005 0.1 0.10 0.0997267998 0.10 0.2 0.6309573445 0 0.0015823853 398.738127898 -2.6006877655 0.2 0.20 0.1996561173 0.20 0.3 0.5011872336 0 0.0019912892 251.6898303846 -2.4008656681 0.3 0.30 0.299567166 0.30 0.4 0.3981071706 0 0.0025055927 158.8874264167 -2.2010895306 0.4 0.40 0.3994552347 0.40 0.5 0.316227766 0 0.0031523092 100.316227766 -2.0013711928 0.5 0.50 0.4993144036 0.50 0.6 0.2511886432 0 0.0039652856 63.3469230912 -1.801725525 0.6 0.60 0.5991372375 0.60 0.7 0.1995262315 0 0.0049868787 40.0102432868 -1.6021711922 0.7 0.70 0.6989144039 0.70 0.8 0.1584893192 0 0.0062700123 25.2773536343 -1.4027316043 0.8 0.80 0.7986341978 0.80 0.9 0.1258925412 0 0.0078806839 15.9748244658 -1.2034360948 0.9 0.90 0.8982819526 0.90 1 0.1 0 0.0099009901 10.1 -1.0043213738 1 1.00 0.9978393131 1.00 1.1 0.0794328235 0 0.0124327353 6.3890062683 -0.8054333142 1.1 1.10 1.0972833429 1.10 2.2 0.0063095734 0 0.1368068886 0.0461202905 1.336107966 2.2 2.20 2.168053983 2.20 2.3 0.0050118723 0 0.1663375308 0.0301307366 1.5209902505 2.3 2.30 2.2604951253 2.30 2.4 0.0039810717 0 0.2007600089 0.0198300036 1.7026772066 2.4 2.40 2.3513386033 2.40 2.5 0.0031622777 0 0.2402530734 0.0131622776 1.8806689524 2.5 2.50 2.4403344762 2.50 2.6 0.0025118864 0 0.284747249 0.0088214599 2.0544595376 2.6 2.60 2.5272297688 2.60 2.7 0.0019952623 0 0.3338605754 0.005976334 2.2235651387 2.7 2.70 2.6117825693 2.70 2.8 0.0015848932 0 0.3868631798 0.0040967796 2.3875573989 2.8 2.80 2.6937786995 2.80 2.9 0.0012589254 0 0.4426883662 0.0028438186 2.5460981117 2.9 2.90 2.7730490558 2.90 3 0.001 0 0.5 0.002 2.6989700087 3 3.00 2.8494850043 3.00 3.1 0.0007943282 0 0.5573116338 0.0014252856 2.8460981158 3.1 3.10 2.9230490579 3.10 3.2 0.0006309573 0 0.6131368202 0.0010290645 2.9875574081 3.2 3.20 2.9937787041 3.20 3.3 0.0005011872 0 0.6661394246 0.0007523758 3.1235651549 3.3 3.30 3.0617825774 3.30 3.4 0.0003981072 0 0.715252751 0.0005565965 3.2544595643 3.4 3.40 3.1272297821 3.40 3.5 0.0003162278 0 0.7597469266 0.0004162277 3.3806689954 3.5 3.50 3.1903344977 3.50 3.6 0.0002511886 0 0.7992399911 0.0003142843 3.5026772751 3.6 3.60 3.2513386376 3.60 3.7 0.0001995262 0.0000000001 0.8336624692 0.0002393369 3.6209903594 3.7 3.70 3.3104951797 3.70 3.8 0.0001584893 0.0000000001 0.8631931114 0.0001836081 3.7361081388 3.8 3.80 3.3680540694 3.80 3.9 0.0001258925 0.0000000001 0.8881842302 0.0001417414 3.848503332 3.9 3.90 3.424251666 3.90 4 0.0001 0.0000000001 0.9090909091 0.0001099999 3.9586077491 4 4.00 3.4793038746 4.00 4.1 0.0000794328 0.0000000001 0.9264124439 0.0000857423 4.0668050683 4.1 4.10 3.5334025342 4.10 4.2 0.0000630957 0.0000000002 0.9406490569 0.0000670766 4.1734287153 4.2 4.20 3.5867143577 4.20 4.3 0.0000501187 0.0000000002 0.952273279 0.0000526304 4.278763327 4.3 4.30 3.6393816635 4.30 4.4 0.0000398107 0.0000000003 0.9617134961 0.0000413953 4.3830484509 4.4 4.40 3.6915242255 4.40 4.5 0.0000316228 0.0000000003 0.96934657 0.0000326225 4.4864834209 4.5 4.50 3.7432417104 4.50 4.6 0.0000251189 0.0000000004 0.9754966324 0.0000257494 4.5892326576 4.6 4.60 3.7946163288 4.60 4.7 0.0000199526 0.0000000005 0.9804376961 0.0000203502 4.6914309099 4.7 4.70 3.8457154549 4.70 4.8 0.0000158489 0.0000000006 0.9843983378 0.0000160995 4.7931881616 4.8 4.80 3.8965940808 4.80 4.9 0.0000125893 0.0000000008 0.9875672647 0.0000127469 4.8945940888 4.9 4.90 3.9472970444 4.90 5 0.00001 0.000000001 0.9900990099 0.000010099 4.9957220578 5 5.00 3.9978610289 5.00 5.1 0.0000079433 0.0000000013 0.9921193161 0.0000080051 5.0966327417 5.1 5.10 4.0483163709 5.10 5.2 0.0000063096 0.0000000016 0.9937299877 0.0000063478 5.1973774992 5.2 5.20 4.0986887496 5.20 5.3 0.0000050119 0.000000002 0.9950131213 0.000005035 5.298001738 5.3 5.30 4.149000869 5.30 5.4 0.0000039811 0.0000000025 0.9960347144 0.0000039944 5.3985485827 5.4 5.40 4.1992742914 5.40 5.5 0.0000031623 0.0000000032 0.9968476908 0.0000031691 5.4990633189 5.5 5.50 4.2495316595 5.50 5.6 0.0000025119 0.000000004 0.9974944073 0.0000025142 5.5995993258 5.6 5.60 4.2997996629 5.60 5.7 0.0000019953 0.000000005 0.9980087108 0.0000019942 5.7002266027 5.7 5.70 4.3501133014 5.70 5.8 0.0000015849 0.0000000063 0.9984176147 0.0000015811 5.8010446427 5.8 5.80 4.4005223213 5.80 5.9 0.0000012589 0.0000000079 0.9987426575 0.0000012526 5.9022024938 5.9 5.90 4.4511012469 5.90 6 0.000001 0.00000001 0.999000999 0.000000991 6.0039307279 6 6.00 4.501965364 6.00 6.1 0.0000007943 0.0000000126 0.9992063022 0.0000007824 6.1065933964 6.1 6.11 4.5532966982 6.11 6.2 0.000000631 0.0000000158 0.9993694405 0.0000006155 6.2107743984 6.2 6.21 4.6053871992 6.21 6.3 0.0000005012 0.00000002 0.9994990638 0.0000004815 6.3174255374 6.3 6.32 4.6587127687 6.32 6.4 0.0000003981 0.0000000251 0.9996020513 0.0000003731 6.4281319224 6.4 6.43 4.7140659612 6.43 6.5 0.0000003162 0.0000000316 0.9996838722 0.0000002847 6.5456201763 6.5 6.55 4.7728100881 6.55 6.6 0.0000002512 0.0000000398 0.9997488744 0.0000002114 6.6748312913 6.6 6.67 4.8374156456 6.67 6.7 0.0000001995 0.0000000501 0.9998005136 0.0000001494 6.825540933 6.7 6.83 4.9127704665 6.83 6.8 0.0000001585 0.0000000631 0.9998415358 0.0000000954 7.020412005 6.8 7.02 5.0102060025 7.02 6.9 0.0000001259 0.0000000794 0.9998741233 0.0000000465 7.3328687623 6.9 7.33 5.1664343812 7.33 6.99 0.0000001023 0.0000000977 0.9998976812 0.0000000046 8.3366715011 6.99 8.34 5.6683357506 8.34 6.999 0.0000001002 0.0000000998 0.9998997795 0.0000000005 9.3367104045 6.999 9.34 6.1683552022 9.34 6.9999 0.0000001 0.0000001 0.999899987 0 10.3367108745 6.9999 10.34 6.6683554373 10.34 calfa 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 pH(3) pH(1) pH(2) pCa pH Cálculo de pH (HA) Comp de Modelos salfa Ka= 1.00E-05 pH [H+] [OH-] [A-] [HA] Ca pCa pH(3G) pH(1G) pH(2G) 0 1 0 1 1.00E+05 1.00E+05 -5.0000043429 0 -0.0000021715 0.00 0.25 0.5623413252 0 0.5623413252 3.16E+04 3.16E+04 -4.5000077229 0.25 0.2499961385 0.25 0.5 0.316227766 0 0.316227766 1.00E+04 1.00E+04 -4.0000137334 0.5 0.4999931333 0.50 0.75 0.177827941 0 0.177827941 3.16E+03 3.16E+03 -3.5000244215 0.75 0.7499877893 0.75 1 0.1 0 0.1 1.00E+03 1.00E+03 -3.0000434273 1 0.9999782864 1.00 1.25 0.0562341325 0 0.0562341325 3.16E+02 3.16E+02 -2.5000772228 1.25 1.2499613886 1.25 1.5 0.0316227766 0 0.0316227766 1.00E+02 1.00E+02 -2.0001373143 1.5 1.4999313429 1.50 1.75 0.0177827941 0 0.0177827941 3.16E+01 3.16E+01 -1.5002441531 1.75 1.7498779235 1.75 2 0.01 0 0.01 1.00E+01 1.00E+01 -1.0004340774 2 1.9997829613 2.00 2.25 0.0056234133 0 0.0056234133 3.16E+00 3.17E+00 -0.5007716109 2.25 2.2496141945 2.25 2.5 0.0031622777 0 0.0031622777 1.00E+00 1.00E+00 -0.0013711924 2.5 2.4993144038 2.50 2.75 0.0017782794 0 0.0017782794 3.16E-01 3.18E-01 0.4975646252 2.75 2.7487823126 2.75 3 0.001 0 0.001 1.00E-01 1.01E-01 0.9956786306 3 2.9978393153 3.00 3.25 0.0005623413 0 0.0005623413 3.16E-02 3.22E-02 1.492344909 3.25 3.2461724545 3.25 3.5 0.0003162278 0 0.0003162277 1.00E-02 1.03E-02 1.9864791213 3.5 3.4932395607 3.50 3.75 0.0001778279 0.0000000001 0.0001778279 3.16E-03 3.34E-03 2.4762399396 3.75 3.7381199698 3.75 4 0.0001 0.0000000001 0.0000999999 1.00E-03 1.10E-03 2.9586077491 4 3.9793038746 4.00 4.25 0.0000562341 0.0000000002 0.000056234 3.16E-04 3.72E-04 3.4289195207 4.25 4.2144597604 4.25 4.5 0.0000316228 0.0000000003 0.0000316225 1.00E-04 1.32E-04 3.8806732949 4.5 4.4403366475 4.50 4.75 0.0000177828 0.0000000006 0.0000177822 3.16E-05 4.94E-05 4.3062378135 4.75 4.6531189067 4.75 5 0.00001 0.000000001 0.000009999 1.00E-05 2.00E-05 4.699013436 5 4.849506718 5.00 5.25 0.0000056234 0.0000000018 0.0000056216 3.16E-06 8.78E-06 5.0563614373 5.25 5.0281807187 5.25 5.5 0.0000031623 0.0000000032 0.0000031591 9.99E-07 4.16E-06 5.3811034637 5.5 5.1905517319 5.50 5.75 0.0000017783 0.0000000056 0.0000017727 3.15E-07 2.09E-06 5.6802936831 5.75 5.3401468416 5.75 6 0.000001 0.00000001 0.00000099 9.90E-08 1.09E-06 5.9629721202 6 5.4814860601 6.00 6.25 0.0000005623 0.0000000178 0.0000005446 3.06E-08 5.75E-07 6.2401952361 6.25 5.6200976181 6.26 6.5 0.0000003162 0.0000000316 0.0000002846 9.00E-09 2.94E-07 6.5322365685 6.5 5.7661182842 6.54 6.75 0.0000001778 0.0000000562 0.0000001216 2.16E-09 1.24E-07 6.9074334339 6.75 5.9537167169 6.91 6.9 0.0000001259 0.0000000794 0.0000000465 5.85E-10 4.70E-08 7.3274901191 6.9 6.1637450596 7.33 6.99 0.0000001023 0.0000000977 0.0000000046 4.71E-11 4.65E-09 8.3322944191 6.99 6.6661472095 8.33 6.999 0.0000001002 0.0000000998 0.0000000005 4.62E-12 4.65E-10 9.3324226458 6.999 7.1662113229 9.33 6.9999 0.0000001 0.0000001 0 4.61E-13 4.65E-11 10.3324319478 6.9999 7.6662159739 10.33 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 salfa 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 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 pH(3G) pH(1G) pH(2G) pCa pH Cálculo de pH (HA) Comp de Modelos Plan3 A B C D E F G H I J K 1 2 3 4 α Célula Título Fórmula Matemática Fórmula Exel J2 K2 L2 M2 N2 O2 P2 Plan3 -1.0043213742 -3.0043213742 -10.0043213742 -22.0043213742 0 -14 -1.0076551061 -2.7576551061 -9.5076551061 -21.2576551061 -0.25 -13.75 -1.0135209263 -2.5135209263 -9.0135209263 -20.5135209263 -0.5 -13.5 -1.0237602107 -2.2737602107 -8.5237602107 -19.7737602107 -0.75 -13.25 -1.0413927246 -2.0413927246 -8.0413927246 -19.0413927246 -1 -13 -1.0710819693 -1.8210819693 -7.5710819693 -18.3210819693 -1.25 -12.75 -1.119331378 -1.619331378 -7.119331378 -17.619331378 -1.5 -12.5 -1.1937767994 -1.4437767994 -6.6937767994 -16.9437767994 -1.75 -12.25 -1.3010321671 -1.3010321671 -6.3010321671 -16.3010321671 -2 -12 -1.4437808635 -1.1937808635 -5.9437808635 -15.6937808635 -2.25 -11.75 -1.619341482 -1.119341482 -5.619341482 -15.119341482 -2.5 -11.5 -1.8211025871 -1.0711025871 -5.3211025871 -14.5711025871 -2.75 -11.25 -2.0414321647 -1.0414321647 -5.0414321647 -14.0414321647 -3 -11 -2.2738333095 -1.0238333095 -4.7738333095 -13.5238333095 -3.25 -10.75 -2.5136540279 -1.0136540279 -4.5136540279 -13.0136540279 -3.5 -10.5 -2.7578949931 -1.0078949931 -4.2578949931 -12.5078949931 -3.75 -10.25 -3.0047511556 -1.0047511556 -4.0047511556 -12.0047511556 -4 -10 -3.2532026762 -1.0032026762 -3.7532026762 -11.5032026762 -4.25 -9.75 -3.5027380701 -1.0027380701 -3.5027380701 -11.0027380701 -4.5 -9.5 -3.7532026764 -1.0032026764 -3.2532026764 -10.5032026764 -4.75 -9.25 -4.004751156 -1.004751156 -3.004751156 -10.004751156 -5 -9 -4.2578949945 -1.0078949945 -2.7578949945 -9.5078949945 -5.25 -8.75 -4.5136540321 -1.0136540321 -2.5136540321 -9.0136540321 -5.5 -8.5 -4.7738333225 -1.0238333225 -2.2738333225 -8.5238333225 -5.75 -8.25 -5.0414322042 -1.0414322042 -2.0414322042 -8.0414322042 -6 -8 -5.3211027037 -1.0711027037 -1.8211027037 -7.5711027037 -6.25 -7.75 -5.6193418119 -1.1193418119 -1.6193418119 -7.1193418119 -6.5 -7.5 -5.9437817426 -1.1937817426 -1.4437817426 -6.6937817426 -6.75 -7.25 -6.3010343386 -1.3010343386 -1.3010343386 -6.3010343386 -7 -7 -6.6937817426 -1.4437817426 -1.1937817426 -5.9437817426 -7.25 -6.75 -7.1193418119 -1.6193418119 -1.1193418119 -5.6193418119 -7.5 -6.5 -7.5711027037 -1.8211027037 -1.0711027037 -5.3211027037 -7.75 -6.25 -8.0414322042 -2.0414322042 -1.0414322042 -5.0414322042 -8 -6 -8.5238333225 -2.2738333225 -1.0238333225 -4.7738333225 -8.25 -5.75 -9.0136540321 -2.5136540321 -1.0136540321 -4.5136540321 -8.5 -5.5 -9.5078949945 -2.7578949945 -1.0078949945 -4.2578949945 -8.75 -5.25 -10.004751156 -3.004751156 -1.004751156 -4.004751156 -9 -5 -10.5032026764 -3.2532026764 -1.0032026764 -3.7532026764 -9.25 -4.75 -11.0027380701 -3.5027380701 -1.0027380701 -3.5027380701 -9.5 -4.5 -11.5032026762 -3.7532026762 -1.0032026762 -3.2532026762 -9.75 -4.25 -12.0047511556 -4.0047511556 -1.0047511556 -3.0047511556 -10 -4 -12.5078949931 -4.2578949931 -1.0078949931 -2.7578949931 -10.25 -3.75 -13.0136540279 -4.5136540279 -1.0136540279 -2.5136540279 -10.5 -3.5 -13.5238333095 -4.7738333095 -1.0238333095 -2.2738333095 -10.75 -3.25 -14.0414321647 -5.0414321647 -1.0414321647 -2.0414321647 -11 -3 -14.5711025871 -5.3211025871 -1.0711025871 -1.8211025871 -11.25 -2.75 -15.119341482 -5.619341482 -1.119341482 -1.619341482 -11.5 -2.5 -15.6937808635 -5.9437808635 -1.1937808635 -1.4437808635 -11.75 -2.25 -16.3010321671 -6.3010321671 -1.3010321671 -1.3010321671 -12 -2 -16.9437767994 -6.6937767994 -1.4437767994 -1.1937767994 -12.25 -1.75 -17.619331378 -7.119331378 -1.619331378 -1.119331378 -12.5 -1.5 -18.3210819693 -7.5710819693 -1.8210819693 -1.0710819693 -12.75 -1.25 -19.0413927246 -8.0413927246 -2.0413927246 -1.0413927246 -13 -1 -19.7737602107 -8.5237602107 -2.2737602107 -1.0237602107 -13.25 -0.75 -20.5135209263 -9.0135209263 -2.5135209263 -1.0135209263 -13.5 -0.5 -21.2576551061 -9.5076551061 -2.7576551061 -1.0076551061 -13.75 -0.25 -22.0043213742 -10.0043213742 -3.0043213742 -1.0043213742 -14 0 log(H3A) log(H2A) log(HA) log(A) log(H+) log(OH) pH log [Espécie] Curva de Especiação Sistema triprótico * Curva de Titulação Na2H2L x NaOH * Balanço de Cargas: [K+] + [Na*+] + [H+] = [OH-] + 4[L-4] + 3[HL-3] + 2 [H2L=] + [H3L-] Pelo balanço de cargas observamos que o lado direito é o lado positivo para o EDTA e que o lado esquerdo é o lado positivo para a base. CL (4L-4+ 3HL-3 + 2H2L-2 + H3L- -2) ( Cb + [H+] - [OH-] ) Vb= VL x - [H+] + [OH-] Cb 2CL 3CLH3L- 2CLH2L= CLHL-3 4CLL-4 Equação Genérica * Dados Fixos 10^-2 VL= 25,00 Cb = * Título das Colunas pH [H+] [OH-] * Montagem da Planilha CL (4L-4+ 3HL-3 + 2H2L-2 + H3L- -2) ( Cb + [H+] - [OH-] ) VL x - [H+] + [OH-] calfa K1 = 0.001 pH [H+] [OH-] alfa(A-) Ca pCa pH(3G) pH(2G) pH(1G) pH(2G) pK1 = 3 0 1 0 0.000999001 1001 -3.0004340775 0 0.00 -0.0002170387 0.00 0.1 0.7943282347 0 0.0012573425 631.7516727149 -2.8005464005 0.1 0.10 0.0997267998 0.10 0.2 0.6309573445 0 0.0015823853 398.738127898 -2.6006877655 0.2 0.20 0.1996561173 0.20 0.3 0.5011872336 0 0.0019912892 251.6898303846 -2.4008656681 0.3 0.30 0.299567166 0.30 0.4 0.3981071706 0 0.0025055927 158.8874264167 -2.2010895306 0.4 0.40 0.3994552347 0.40 0.5 0.316227766 0 0.0031523092 100.316227766 -2.0013711928 0.5 0.50 0.4993144036 0.50 0.6 0.2511886432 0 0.0039652856 63.3469230912 -1.801725525 0.6 0.60 0.5991372375 0.60 0.7 0.1995262315 0 0.0049868787 40.0102432868 -1.6021711922 0.7 0.70 0.6989144039 0.70 0.8 0.1584893192 0 0.0062700123 25.2773536343 -1.4027316043 0.8 0.80 0.7986341978 0.80 0.9 0.1258925412 0 0.0078806839 15.9748244658 -1.2034360948 0.9 0.90 0.8982819526 0.90 1 0.1 0 0.0099009901 10.1 -1.0043213738 1 1.00 0.9978393131 1.00 1.1 0.0794328235 0 0.0124327353 6.3890062683 -0.8054333142 1.1 1.10 1.0972833429 1.10 2.2 0.0063095734 0 0.1368068886 0.0461202905 1.336107966 2.2 2.20 2.168053983 2.20 2.3 0.0050118723 0 0.1663375308 0.0301307366 1.5209902505 2.3 2.30 2.2604951253 2.30 2.4 0.0039810717 0 0.2007600089 0.0198300036 1.7026772066 2.4 2.40 2.3513386033 2.40 2.5 0.0031622777 0 0.2402530734 0.0131622776 1.8806689524 2.5 2.50 2.4403344762 2.50 2.6 0.0025118864 0 0.284747249 0.0088214599 2.0544595376 2.6 2.60 2.5272297688 2.60 2.7 0.0019952623 0 0.3338605754 0.005976334 2.2235651387 2.7 2.70 2.6117825693 2.70 2.8 0.0015848932 0 0.3868631798 0.0040967796 2.3875573989 2.8 2.80 2.6937786995 2.80 2.9 0.0012589254 0 0.4426883662 0.0028438186 2.5460981117 2.9 2.90 2.7730490558 2.90 3 0.001 0 0.5 0.002 2.6989700087 3 3.00 2.8494850043 3.00 3.1 0.0007943282 0 0.5573116338 0.0014252856 2.8460981158 3.1 3.10 2.9230490579 3.10 3.2 0.0006309573 0 0.6131368202 0.0010290645 2.9875574081 3.2 3.20 2.9937787041 3.20 3.3 0.0005011872 0 0.6661394246 0.0007523758 3.1235651549 3.3 3.30 3.0617825774 3.30 3.4 0.0003981072 0 0.715252751 0.0005565965 3.2544595643 3.4 3.40 3.1272297821 3.40 3.5 0.0003162278 0 0.7597469266 0.0004162277 3.3806689954 3.5 3.50 3.1903344977 3.50 3.6 0.0002511886 0 0.7992399911 0.0003142843 3.5026772751 3.6 3.60 3.2513386376 3.60 3.7 0.0001995262 0.0000000001 0.8336624692 0.0002393369 3.6209903594 3.7 3.70 3.3104951797 3.70 3.8 0.0001584893 0.0000000001 0.8631931114 0.0001836081 3.7361081388 3.8 3.80 3.3680540694 3.80 3.9 0.0001258925 0.0000000001 0.8881842302 0.0001417414 3.848503332 3.9 3.90 3.424251666 3.90 4 0.0001 0.0000000001 0.9090909091 0.0001099999 3.9586077491 4 4.00 3.4793038746 4.00 4.1 0.0000794328 0.0000000001 0.9264124439 0.0000857423 4.0668050683 4.1 4.10 3.5334025342 4.10 4.2 0.0000630957 0.0000000002 0.9406490569 0.0000670766 4.1734287153 4.2 4.20 3.5867143577 4.20 4.3 0.0000501187 0.0000000002 0.952273279 0.0000526304 4.278763327 4.3 4.30 3.6393816635 4.30 4.4 0.0000398107 0.0000000003 0.9617134961 0.0000413953 4.3830484509 4.4 4.40 3.6915242255 4.40 4.5 0.0000316228 0.0000000003 0.96934657 0.0000326225 4.4864834209 4.5 4.50 3.7432417104 4.50 4.6 0.0000251189 0.0000000004 0.9754966324 0.0000257494 4.5892326576 4.6 4.60 3.7946163288 4.60 4.7 0.0000199526 0.0000000005 0.9804376961 0.0000203502 4.6914309099 4.7 4.70 3.8457154549 4.70 4.8 0.0000158489 0.0000000006 0.9843983378 0.0000160995 4.7931881616 4.8 4.80 3.8965940808 4.80 4.9 0.0000125893 0.0000000008 0.9875672647 0.0000127469 4.8945940888 4.9 4.90 3.9472970444 4.90 5 0.00001 0.000000001 0.9900990099 0.000010099 4.9957220578 5 5.00 3.9978610289 5.00 5.1 0.0000079433 0.0000000013 0.9921193161 0.0000080051 5.0966327417 5.1 5.10 4.0483163709 5.10 5.2 0.0000063096 0.0000000016 0.9937299877 0.0000063478 5.1973774992 5.2 5.20 4.0986887496 5.20 5.3 0.0000050119 0.000000002 0.9950131213 0.000005035 5.298001738 5.3 5.30 4.149000869 5.30 5.4 0.0000039811 0.0000000025 0.9960347144 0.0000039944 5.3985485827 5.4 5.40 4.1992742914 5.40 5.5 0.0000031623 0.0000000032 0.9968476908 0.0000031691 5.4990633189 5.5 5.50 4.2495316595 5.50 5.6 0.0000025119 0.000000004 0.9974944073 0.0000025142 5.5995993258 5.6 5.60 4.2997996629 5.60 5.7 0.0000019953 0.000000005 0.9980087108 0.0000019942 5.7002266027 5.7 5.70 4.3501133014 5.70 5.8 0.0000015849 0.0000000063 0.9984176147 0.0000015811 5.8010446427 5.8 5.80 4.4005223213 5.80 5.9 0.0000012589 0.0000000079 0.9987426575 0.0000012526 5.9022024938 5.9 5.90 4.4511012469 5.90 6 0.000001 0.00000001 0.999000999 0.000000991 6.0039307279 6 6.00 4.501965364 6.00 6.1 0.0000007943 0.0000000126 0.9992063022 0.0000007824 6.1065933964 6.1 6.11 4.5532966982 6.11 6.2 0.000000631 0.0000000158 0.9993694405 0.0000006155 6.2107743984 6.2 6.21 4.6053871992 6.21 6.3 0.0000005012 0.00000002 0.9994990638 0.0000004815 6.3174255374 6.3 6.32 4.6587127687 6.32 6.4 0.0000003981 0.0000000251 0.9996020513 0.0000003731 6.4281319224 6.4 6.43 4.7140659612 6.43 6.5 0.0000003162 0.0000000316 0.9996838722 0.0000002847 6.5456201763 6.5 6.55 4.7728100881 6.55 6.6 0.0000002512 0.0000000398 0.9997488744 0.0000002114 6.6748312913 6.6 6.67 4.8374156456 6.67 6.7 0.0000001995 0.0000000501 0.9998005136 0.0000001494 6.825540933 6.7 6.83 4.9127704665 6.83 6.8 0.0000001585 0.0000000631 0.9998415358 0.0000000954 7.020412005 6.8 7.02 5.0102060025 7.02 6.9 0.0000001259 0.0000000794 0.9998741233 0.0000000465 7.3328687623 6.9 7.33 5.1664343812 7.33 6.99 0.0000001023 0.0000000977 0.9998976812 0.0000000046 8.3366715011 6.99 8.34 5.6683357506 8.34 6.999 0.0000001002 0.0000000998 0.9998997795 0.0000000005 9.3367104045 6.999 9.34 6.1683552022 9.34 6.9999 0.0000001 0.0000001 0.999899987 0 10.3367108745 6.9999 10.34 6.6683554373 10.34 calfa 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 pH(3) pH(1) pH(2) pCa pH Cálculo de pH (HA) Comp de Modelos salfa Ka= 1.00E-05 pH [H+] [OH-] [A-] [HA] Ca pCa pH(3G) pH(1G) pH(2G) 0 1 0 1 1.00E+05 1.00E+05 -5.0000043429 0 -0.0000021715 0.00 0.25 0.5623413252 0 0.5623413252 3.16E+04 3.16E+04 -4.5000077229 0.25 0.2499961385 0.25 0.5 0.316227766 0 0.316227766 1.00E+04 1.00E+04 -4.0000137334 0.5 0.4999931333 0.50 0.75 0.177827941 0 0.177827941 3.16E+03 3.16E+03 -3.5000244215 0.75 0.7499877893 0.75 1 0.1 0 0.1 1.00E+03 1.00E+03 -3.0000434273 1 0.9999782864 1.00 1.25 0.0562341325 0 0.0562341325 3.16E+02 3.16E+02 -2.5000772228 1.25 1.2499613886 1.25 1.5 0.0316227766 0 0.0316227766 1.00E+02 1.00E+02 -2.0001373143 1.5 1.4999313429 1.50 1.75 0.0177827941 0 0.0177827941 3.16E+01 3.16E+01 -1.5002441531 1.75 1.7498779235 1.75 2 0.01 0 0.01 1.00E+01 1.00E+01 -1.0004340774 2 1.9997829613 2.00 2.25 0.0056234133 0 0.0056234133 3.16E+00 3.17E+00 -0.5007716109 2.25 2.2496141945 2.25 2.5 0.0031622777 0 0.0031622777 1.00E+00 1.00E+00 -0.0013711924 2.5 2.4993144038 2.50 2.75 0.0017782794 0 0.0017782794 3.16E-01 3.18E-01 0.4975646252 2.75 2.7487823126 2.75 3 0.001 0 0.001 1.00E-01 1.01E-01 0.9956786306 3 2.9978393153 3.00 3.25 0.0005623413 0 0.0005623413 3.16E-02 3.22E-02 1.492344909 3.25 3.2461724545 3.25 3.5 0.0003162278 0 0.0003162277 1.00E-02 1.03E-02 1.9864791213 3.5 3.4932395607 3.50 3.75 0.0001778279 0.0000000001 0.0001778279 3.16E-03 3.34E-03 2.4762399396 3.75 3.7381199698 3.75 4 0.0001 0.0000000001 0.0000999999 1.00E-03 1.10E-03 2.9586077491 4 3.9793038746 4.00 4.25 0.0000562341 0.0000000002 0.000056234 3.16E-04 3.72E-04 3.4289195207 4.25 4.2144597604 4.25 4.5 0.0000316228 0.0000000003 0.0000316225 1.00E-04 1.32E-04 3.8806732949 4.5 4.4403366475 4.50 4.75 0.0000177828 0.0000000006 0.0000177822 3.16E-05 4.94E-05 4.3062378135 4.75 4.6531189067 4.75 5 0.00001 0.000000001 0.000009999 1.00E-05 2.00E-05 4.699013436 5 4.849506718 5.00 5.25 0.0000056234 0.0000000018 0.0000056216 3.16E-06 8.78E-06 5.0563614373 5.25 5.0281807187 5.25 5.5 0.0000031623 0.0000000032 0.0000031591 9.99E-07 4.16E-06 5.3811034637 5.5 5.1905517319 5.50 5.75 0.0000017783 0.0000000056 0.0000017727 3.15E-07 2.09E-06 5.6802936831 5.75 5.3401468416 5.75 6 0.000001 0.00000001 0.00000099 9.90E-08 1.09E-06 5.9629721202 6 5.4814860601 6.00 6.25 0.0000005623 0.0000000178 0.0000005446 3.06E-08 5.75E-07 6.2401952361 6.25 5.6200976181 6.26 6.5 0.0000003162 0.0000000316 0.0000002846 9.00E-09 2.94E-07 6.5322365685 6.5 5.7661182842 6.54 6.75 0.0000001778 0.0000000562 0.0000001216 2.16E-09 1.24E-07 6.9074334339 6.75 5.9537167169 6.91 6.9 0.0000001259 0.0000000794 0.0000000465 5.85E-10 4.70E-08 7.3274901191 6.9 6.1637450596 7.33 6.99 0.0000001023 0.0000000977 0.0000000046 4.71E-11 4.65E-09 8.3322944191 6.99 6.6661472095 8.33 6.999 0.0000001002 0.0000000998 0.0000000005 4.62E-12 4.65E-10 9.3324226458 6.999 7.1662113229 9.33 6.9999 0.0000001 0.0000001 0 4.61E-13 4.65E-11 10.3324319478 6.9999 7.6662159739 10.33 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 0 0 0.00 salfa 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 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 pH(3G) pH(1G) pH(2G) pCa pH Cálculo de pH (HA) Comp de Modelos Plan3 A B C D E F G H I J K L M N O P 1 2 3 4 α Célula Título Fórmula Matemática Fórmula Exel D2 E2 F2 G2 H2 I2 H2 I2 J2 K2 I2 Plan3 -1.0043213742 -3.0043213742 -10.0043213742 -22.0043213742 0 -14 -1.0076551061 -2.7576551061 -9.5076551061 -21.2576551061 -0.25 -13.75 -1.0135209263 -2.5135209263 -9.0135209263 -20.5135209263 -0.5 -13.5 -1.0237602107 -2.2737602107 -8.5237602107 -19.7737602107 -0.75 -13.25 -1.0413927246 -2.0413927246 -8.0413927246 -19.0413927246 -1 -13 -1.0710819693 -1.8210819693 -7.5710819693 -18.3210819693 -1.25 -12.75 -1.119331378 -1.619331378 -7.119331378 -17.619331378 -1.5 -12.5 -1.1937767994 -1.4437767994 -6.6937767994 -16.9437767994 -1.75 -12.25 -1.3010321671 -1.3010321671 -6.3010321671 -16.3010321671 -2 -12 -1.4437808635 -1.1937808635 -5.9437808635 -15.6937808635 -2.25 -11.75 -1.619341482 -1.119341482 -5.619341482 -15.119341482 -2.5 -11.5 -1.8211025871 -1.0711025871 -5.3211025871 -14.5711025871 -2.75 -11.25 -2.0414321647 -1.0414321647 -5.0414321647 -14.0414321647 -3 -11 -2.2738333095 -1.0238333095 -4.7738333095 -13.5238333095 -3.25 -10.75 -2.5136540279 -1.0136540279 -4.5136540279 -13.0136540279 -3.5 -10.5 -2.7578949931 -1.0078949931 -4.2578949931 -12.5078949931 -3.75 -10.25 -3.0047511556 -1.0047511556 -4.0047511556 -12.0047511556 -4 -10 -3.2532026762 -1.0032026762 -3.7532026762 -11.5032026762 -4.25 -9.75 -3.5027380701 -1.0027380701 -3.5027380701 -11.0027380701 -4.5 -9.5 -3.7532026764 -1.0032026764 -3.2532026764 -10.5032026764 -4.75 -9.25 -4.004751156 -1.004751156 -3.004751156 -10.004751156 -5 -9 -4.2578949945 -1.0078949945 -2.7578949945 -9.5078949945 -5.25 -8.75 -4.5136540321 -1.0136540321 -2.5136540321 -9.0136540321 -5.5 -8.5 -4.7738333225 -1.0238333225 -2.2738333225 -8.5238333225 -5.75 -8.25 -5.0414322042 -1.0414322042 -2.0414322042 -8.0414322042 -6 -8 -5.3211027037 -1.0711027037 -1.8211027037 -7.5711027037 -6.25 -7.75 -5.6193418119 -1.1193418119 -1.6193418119 -7.1193418119 -6.5 -7.5 -5.9437817426 -1.1937817426 -1.4437817426 -6.6937817426 -6.75 -7.25 -6.3010343386 -1.3010343386 -1.3010343386 -6.3010343386 -7 -7 -6.6937817426 -1.4437817426 -1.1937817426 -5.9437817426 -7.25 -6.75 -7.1193418119 -1.6193418119 -1.1193418119 -5.6193418119 -7.5 -6.5 -7.5711027037 -1.8211027037 -1.0711027037 -5.3211027037 -7.75 -6.25 -8.0414322042 -2.0414322042 -1.0414322042 -5.0414322042 -8 -6 -8.5238333225 -2.2738333225 -1.0238333225 -4.7738333225 -8.25 -5.75 -9.0136540321 -2.5136540321 -1.0136540321 -4.5136540321 -8.5 -5.5 -9.5078949945 -2.7578949945 -1.0078949945 -4.2578949945 -8.75 -5.25 -10.004751156 -3.004751156 -1.004751156 -4.004751156 -9 -5 -10.5032026764 -3.2532026764 -1.0032026764 -3.7532026764 -9.25 -4.75 -11.0027380701 -3.5027380701 -1.0027380701 -3.5027380701 -9.5 -4.5 -11.5032026762 -3.7532026762 -1.0032026762 -3.2532026762 -9.75 -4.25 -12.0047511556 -4.0047511556 -1.0047511556 -3.0047511556 -10 -4 -12.5078949931 -4.2578949931 -1.0078949931 -2.7578949931 -10.25 -3.75 -13.0136540279 -4.5136540279 -1.0136540279 -2.5136540279 -10.5 -3.5 -13.5238333095 -4.7738333095 -1.0238333095 -2.2738333095 -10.75 -3.25 -14.0414321647 -5.0414321647 -1.0414321647 -2.0414321647 -11 -3 -14.5711025871 -5.3211025871 -1.0711025871 -1.8211025871 -11.25 -2.75 -15.119341482 -5.619341482 -1.119341482 -1.619341482 -11.5 -2.5 -15.6937808635 -5.9437808635 -1.1937808635 -1.4437808635 -11.75 -2.25 -16.3010321671 -6.3010321671 -1.3010321671 -1.3010321671 -12 -2 -16.9437767994 -6.6937767994 -1.4437767994 -1.1937767994 -12.25 -1.75 -17.619331378 -7.119331378 -1.619331378 -1.119331378 -12.5 -1.5 -18.3210819693 -7.5710819693 -1.8210819693 -1.0710819693 -12.75 -1.25 -19.0413927246 -8.0413927246 -2.0413927246 -1.0413927246 -13 -1 -19.7737602107 -8.5237602107 -2.2737602107 -1.0237602107 -13.25 -0.75 -20.5135209263 -9.0135209263 -2.5135209263 -1.0135209263 -13.5 -0.5 -21.2576551061 -9.5076551061 -2.7576551061 -1.0076551061 -13.75 -0.25 -22.0043213742 -10.0043213742 -3.0043213742 -1.0043213742 -14 0 log(H3A) log(H2A) log(HA) log(A) log(H+) log(OH) pH log [Espécie] Curva de Especiação Sistema triprótico * Estruturas Metal/EDTA * Considerações Iniciais sobre o Modelo e a Curva de Titulação A curva é construida considerando 4 etapas: (inicio,antes do PE,no PE e após o PE) [L]’ =[H4L]+[H3L]+[H2L]+[HL]+[L] ou seja é a concentração do ligante que não está complexada com o metal Toda titulação é feita num sistema tamponado ou seja pH fixo A [ML] é >> [M] no PE A única espécie formada com o metal é o ML O pH, além de ser maior que o mínimo é o ideal para o indicador escolido Não são consideradas as hidrólises do metal * Cálculo do pH mínimo para a construção da curva de Titulação Gráf2 28.964330434 28.1668516407 27.3708301468 26.5770926466 25.7869121118 25.0022168668 24.225855089 23.4618747608 22.7157068637 21.9940457957 21.3041851198 20.6527276378 20.0439831255 19.4787329184 18.9539946291 18.4639155551 18.0013233397 17.5592106868 17.131668095 16.7142101813 16.3037065837 15.898156205 15.496460265 15.0982657815 14.7039005417 14.3143941823 13.9315575501 13.5580555499 13.1973508706 12.8533488895 12.5296331434 12.2284416022 11.949875881 11.6918557051 11.4508485499 11.2228889866 11.0043705282 10.7924223248 10.5849618657 10.3805896675 10.1784483048 9.9781074875 9.7794980869 9.5829010096 9.3889914661 9.1989356742 9.0145259478 8.8383110195 8.6736248622 8.5243581369 8.3943288937 8.2863060257 8.2010894187 8.1372107743 8.0914656472 8.0599088775 8.038749751 8.0248486598 8.0158430972 8.0100633782 8.0063766509 8.0040342793 8.0025498169 8.0016105675 8.0010168944 pH -pKf Cálculo do pH Mínimo para a Construção da Curva de Titulação do Me por EDTA (-pKf x pH) Ativar Menu Alfa EDTA EDTA CONSTANTES BETAS pH [H+] [OH-] alfa L alfa(HL-3) alfa(H2L-2) alfa(H3L-) alfa(H4L) alfa(H5L+) alfa(H6L+2) 0 1 0 0 0 0.0000003252 0.0001556286 0.0155628628 0.4921405917 0.4921405917 b1 = 14791083882 0.2 0.6309573445 0 0 0 0.0000015639 0.0004722882 0.0297993704 0.5945751928 0.3751515847 b2 = 19054600000000000 0.4 0.3981071706 0 0 0 0.0000070774 0.001348565 0.0536873409 0.6758831058 0.2690739109 b3 = 9120110000000000000 0.6 0.2511886432 0 0 0.0000000001 0.0000301613 0.0036261844 0.0910856349 0.7235184113 0.181739608 b4 = 912011000000000000000 0.8 0.1584893192 0 0 0.0000000006 0.0001210696 0.009184075 0.1455577798 0.7295165013 0.1156205737 b5 = 28840300000000000000000 1 0.1 0 0 0.0000000035 0.000456119 0.0218312378 0.218312378 0.6903638743 0.0690363874 b6 = 28840300000000000000000 1.2 0.0630957344 0 0 0.0000000197 0.0015976396 0.0482479715 0.3044241197 0.6074055502 0.0383246993 Kw = 0 1.4 0.0398107171 0 0 0.0000000999 0.0051225946 0.0976090814 0.388588752 0.4892039135 0.0194755586 1.6 0.0251188643 0 0 0.0000004557 0.0147464131 0.1772909779 0.4453348018 0.3537417603 0.0088855913 1.8 0.0158489319 0 0 0.0000018323 0.0374117445 0.2837972615 0.4497883478 0.2254280205 0.0035727934 2 0.01 0 0 0.0000064145 0.082635194 0.395517124 0.395517124 0.1250734093 0.0012507341 2.2 0.0063095734 0 0 0.0000195029 0.1585256766 0.4787401546 0.3020646167 0.0602697726 0.0003802766 2.4 0.0039810717 0 0 0.000051856 0.2659493704 0.5067563584 0.20174334 0.025397964 0.0001011111 2.6 0.0025118864 0 0 0.0001222129 0.3954729344 0.4754633067 0.1194309829 0.0094867336 0.0000238296 2.8 0.0015848932 0 0 0.0002597843 0.5304112825 0.4023583269 0.0637694973 0.0031960436 0.0000050654 3 0.001 0 0 0.0005077546 0.6541143369 0.3130789786 0.0313078979 0.000990042 0.00000099 3.2 0.0006309573 0 0.0000000001 0.0009301473 0.7560518232 0.2283241267 0.0144062785 0.0002874428 0.0000001814 3.4 0.0003981072 0 0.0000000003 0.001624631 0.8332101987 0.1587650181 0.0063205492 0.0000795709 0.0000000317 3.6 0.0002511886 0 0.0000000007 0.0027436117 0.8878150233 0.1067389017 0.00268116 0.0000212972 0.0000000053 3.8 0.0001584893 0.0000000001 0.0000000019 0.0045267593 0.9242452687 0.0701112122 0.0011111878 0.0000055691 0.0000000009 4 0.0001 0.0000000001 0.000000005 0.0073500923 0.9468749565 0.0453203098 0.0004532031 0.0000014332 0.0000000001 4.2 0.0000630957 0.0000000002 0.0000000126 0.0117989575 0.9590549097 0.0289630113 0.0001827442 0.0000003646 0 4.4 0.0000398107 0.0000000003 0.0000000319 0.01877326 0.962807648 0.0183459317 0.0000730365 0.0000000919 0 4.6 0.0000251189 0.0000000004 0.0000000798 0.0296301745 0.9588132895 0.0115274775 0.0000289557 0.000000023 0 4.8 0.0000158489 0.0000000006 0.0000001977 0.0463553064 0.9464535231 0.0071795882 0.0000113789 0.0000000057 0 5 0.00001 0.000000001 0.0000004848 0.0717143088 0.9238589138 0.0044218692 0.0000044219 0.0000000014 0 5.2 0.0000063096 0.0000000016 0.0000011707 0.1092552839 0.8880599533 0.0026818997 0.0000016922 0.0000000003 0 5.4 0.0000039811 0.0000000025 0.0000027666 0.1629087645 0.8354958296 0.0015920054 0.0000006338 0.0000000001 0 5.6 0.0000025119 0.000000004 0.0000063482 0.2358571951 0.7632186351 0.0009175911 0.0000002305 0 0 5.8 0.0000015849 0.0000000063 0.0000140169 0.3285875547 0.6708894258 0.000508922 0.0000000807 0 0 6 0.000001 0.00000001 0.000029537 0.4368847211 0.562816334 0.000269381 0.0000000269 0 0 6.2 0.000000631 0.0000000158 0.000059096 0.5515163575 0.4482891566 0.0001353812 0.0000000085 0 0 6.4 0.0000003981 0.0000000251 0.0001122339 0.6608822976 0.3389408821 0.0000645839 0.0000000026 0 0 6.6 0.0000002512 0.0000000398 0.0002033032 0.7553431498 0.24442416 0.0000293863 0.0000000007 0 0 6.8 0.0000001585 0.0000000631 0.0003541208 0.8301402091 0.1694928126 0.0000128574 0.0000000002 0 0 7 0.0000001 0.0000001 0.0005985646 0.8853418901 0.1140540863 0.000005459 0.0000000001 0 0 7.2 0.0000000631 0.0000001585 0.000989987 0.9239095831 0.075098162 0.0000022679 0 0 0 7.4 0.0000000398 0.0000002512 0.0016127895 0.9496808379 0.0487054445 0.0000009281 0 0 0 7.6 0.0000000251 0.0000003981 0.0026003879 0.9661357093 0.0312635269 0.0000003759 0 0 0 7.8 0.0000000158 0.000000631 0.0041630376 0.9759112681 0.0199255432 0.0000001512 0 0 0 8 0.00000001 0.000001 0.0066305827 0.9807350468 0.0126343101 0.0000000605 0 0 0 8.2 0.0000000063 0.0000015849 0.0105170155 0.9815049914 0.0079779691 0.0000000241 0 0 0 8.4 0.000000004 0.0000025119 0.01661506 0.9783672645 0.005017666 0.0000000096 0 0 0 8.6 0.0000000025 0.0000039811 0.0261275682 0.9707312046 0.0031412234 0.0000000038 0 0 0 8.8 0.0000000016 0.0000063096 0.040832741 0.9572128804 0.0019543771 0.0000000015 0 0 0 9 0.000000001 0.00001 0.0632505528 0.9355442326 0.001205214 0.0000000006 0 0 0 9.2 0.0000000006 0.0000158489 0.0967105943 0.9025557809 0.0007336246 0.0000000002 0 0 0 9.4 0.0000000004 0.0000251189 0.1451072062 0.8544545771 0.0004382166 0.0000000001 0 0 0 9.6 0.0000000003 0.0000398107 0.2120191738 0.7877259231 0.000254903 0 0 0 0 9.8 0.0000000002 0.0000630957 0.298979811 0.7008770883 0.0001431007 0 0 0 0 10 0.0000000001 0.0001 0.4033398257 0.5965833195 0.0000768548 0 0 0 0 10.2 0.0000000001 0.0001584893 0.5172422287 0.4827185345 0.0000392368 0 0 0 0 10.4 0 0.0002511886 0.6293765845 0.3706044086 0.0000190069 0 0 0 0 10.6 0 0.0003981072 0.7291035717 0.2708876626 0.0000087657 0 0 0 0 10.8 0 0.0006309573 0.8100920176 0.1899041051 0.0000038773 0 0 0 0 11 0 0.001 0.8711463524 0.1288519877 0.0000016599 0 0 0 0 11.2 0 0.0015848932 0.9146401233 0.0853591829 0.0000006938 0 0 0 0 11.4 0 0.0025118864 0.9443899139 0.0556098009 0.0000002852 0 0 0 0 11.6 0 0.0039810717 0.9641773007 0.0358225834 0.0000001159 0 0 0 0 11.8 0 0.0063095734 0.9770946196 0.0229053336 0.0000000468 0 0 0 0 12 0 0.01 0.985424485 0.0145754962 0.0000000188 0 0 0 0 12.2 0 0.0158489319 0.9907537406 0.0092462519 0.0000000075 0 0 0 0 12.4 0 0.0251188643 0.9941460312 0.0058539658 0.000000003 0 0 0 0 12.6 0 0.0398107171 0.9962983993 0.0037015995 0.0000000012 0 0 0 0 12.8 0 0.0630957344 0.9976612533 0.0023387463 0.0000000005 0 0 0 0 Alfa EDTA 0 0 0.0000003252 0.0001556286 0.0155628628 0.4921405917 0.4921405917 0 0 0.0000015639 0.0004722882 0.0297993704 0.5945751928 0.3751515847 0 0 0.0000070774 0.001348565 0.0536873409 0.6758831058 0.2690739109 0 0.0000000001 0.0000301613 0.0036261844 0.0910856349 0.7235184113 0.181739608 0 0.0000000006 0.0001210696 0.009184075 0.1455577798 0.7295165013 0.1156205737 0 0.0000000035 0.000456119 0.0218312378 0.218312378 0.6903638743 0.0690363874 0 0.0000000197 0.0015976396 0.0482479715 0.3044241197 0.6074055502 0.0383246993 0 0.0000000999 0.0051225946 0.0976090814 0.388588752 0.4892039135 0.0194755586 0 0.0000004557 0.0147464131 0.1772909779 0.4453348018 0.3537417603 0.0088855913 0 0.0000018323
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