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Met Alca CM = 0.001 pH [H+] [OH-] A a b c L HL H2L H3L H4L B Vb CL = 0.002 0 1 0 921150164614791200000 4513635806612476700000000000000000 921150164609891200000 -0.002 0 0 0.0000000414 0.0000198016 0.0019801553 0.0079801086 -90.613549901 Kf = 4.90E+12 0.2 0.6309573445 0 146842456373477330000 719528036230038900000000000000000 146842456368577330000 -0.002 0 0 0.0000001033 0.0000312017 0.0019686949 0.0079685912 -85.9255177044 b1 = 14791083882 0.4 0.3981071706 0 23487140558042497000 115086988734408230000000000000000 23487140553142497000 -0.002 0 0 0.0000002572 0.0000490004 0.0019507423 0.0079504848 -79.4489819702 b2 = 19054600000000000 0.6 0.2511886432 0 3776527457468587500 18504984541596080000000000000000 3776527452568587300 -0.002 0 0 0.0000006367 0.0000765486 0.0019228147 0.007922178 -71.0395805731 b3 = 9120110000000000000 0.8 0.1584893192 0 612226482825298940 2999909765843965000000000000000 612226477925298940 -0.002 0 0 0.0000015636 0.0001186091 0.0018798273 0.0078782637 -60.9562098919 b4 = 912011000000000000000 1 0.1 0 100511757479108448 492507611647631400000000000000 100511752579108448 -0.002 0 0 0.0000037915 0.0001814735 0.0018147349 0.007810943 -49.9545122607 Cb = 0.1 1.2 0.0630957344 0 16821126971958592 82423522162597100000000000000 16821122071958592 -0.002 0 0.0000000001 0.0000090193 0.0002723798 0.0017186002 0.0077095789 -39.1119643943 Vm = 100 1.4 0.0398107171 0 2896508189652935.5 14192890129299384000000000000 2896503289652935.5 -0.002 0 0.0000000004 0.0000208523 0.0003973329 0.0015818109 0.0075609477 -29.4301247142 1.6 0.0251188643 0 519645132609991.75 2546261149788959400000000000 519640232609991.75 -0.002 0 0.0000000014 0.0000462721 0.0005563129 0.0013973948 0.0073510633 -21.4916155718 1.8 0.0158489319 0 98638349284705.67 483327911495057760000000000 98633449284705.67 -0.002 0 0.0000000048 0.0000970426 0.0007361439 0.0011667094 0.0070693593 -15.3909487588 3 2 0.01 0 20145827910839.82 98714556763115130000000000 20140927910839.82 -0.002 0 0.0000000147 0.0001891207 0.0009051892 0.0009051892 0.0067145809 -10.8937381771 2.2 0.0063095734 0 4494978696271.068 22025395611728237000000000 4490078696271.068 -0.002 0 0.0000000415 0.0003371553 0.0010181934 0.0006424366 0.006298679 -7.6444241435 2.4 0.0039810717 0 1106580786942.705 5422245856019255000000000 1101680786942.705 -0.002 0 0.000000106 0.0005434312 0.0010354875 0.000412235 0.0058423708 -5.3025495923 2.6 0.0025118864 0 301115366092.56445 1475465293853565800000000 296215366092.56445 -0.002 0 0.0000002429 0.0007861448 0.0009451545 0.0002374121 0.0053576442 -3.5872322423 2.8 0.0015848932 0 89948645746.32994 440748364157016700000000 85048645746.32994 -0.002 0 0.0000004967 0.0010141781 0.0007693332 0.0001219311 0.0048245767 -2.2643378215 3 0.001 0 29101512084.882 142597409215921800000000 24201512084.882 -0.002 0 0.0000008998 0.0011591695 0.0005548137 0.0000554814 0.0042056053 -1.1459515722 3.2 0.0006309573 0 10030517494.859259 49149535724810365000000 5130517494.859259 -0.002 0 0.0000014575 0.0011846908 0.0003577711 0.0000225738 0.0035344476 -0.1587906752 3.4 0.0003981072 0 3624187739.320233 17758519922669140000000 -1275812260.6797671 -0.002 0 0.0000021989 0.0011277405 0.0002148867 0.0000085548 0.0029365591 0.6438630399 3.6 0.0002511886 0 1354154118.6264794 6635355181269749000000 -3545845881.373521 -0.002 0 0.0000032612 0.0010553153 0.0001268769 0.000003187 0.0025072706 1.2082127695 3.8 0.0001584893 0.0000000001 517857393.70485705 2537501229153799600000 -4382142606.295143 -0.002 0 0.0000049274 0.0010060464 0.0000763165 0.0000012095 0.0022508078 1.5532798116 4 0.0001 0.0000000001 201236420.4882 986058460392180000000 -4698763579.5118 -0.002 0 0.0000076298 0.0009829119 0.0000470451 0.0000004705 0.0021164709 1.7448550203 4.2 0.0000630957 0.0000000002 79096306.6776446 387571902720458500000 -4820903693.322355 -0.002 0 0.0000119836 0.0009740595 0.0000294161 0.0000001856 0.0020490934 1.8487617072 4.4 0.0000398107 0.0000000003 31366081.387190647 153693798797234180000 -4868633918.612809 -0.002 0 0.0000188919 0.0009688935 0.0000184619 0.0000000735 0.0020123586 1.9086620068 4.6 0.0000251189 0.0000000004 12539083.125891127 61441507316866520000 -4887460916.874109 -0.002 0.0000000001 0.0000297056 0.0009612544 0.0000115568 0.000000029 0.0019870011 1.9486708357 4.8 0.0000158489 0.0000000006 5057088.35719751 24779732950267798000 -4894942911.642802 -0.002 0.0000000002 0.000046403 0.0009474283 0.000007187 0.0000000114 0.0019628662 1.9820660816 5 0.00001 0.000000001 2062501.0689300003 10106255237757002000 -4897937498.93107 -0.002 0.0000000005 0.0000717445 0.0009242475 0.0000044237 0.0000000044 0.0019335283 2.0172666073 5.2 0.0000063096 0.0000000016 854196.0327808819 4185560560626320900 -4899145803.967219 -0.002 0.0000000012 0.0001092743 0.0008882147 0.0000026824 0.0000000017 0.0018937576 2.0607782558 5.4 0.0000039811 0.0000000025 361456.0929130211 1771134855273803520 -4899638543.907087 -0.002 0.0000000028 0.0001629208 0.0008355575 0.0000015921 0.0000000006 0.0018388146 2.1181732995 5.6 0.0000025119 0.000000004 157525.5013821856 771874956772709630 -4899842474.498618 -0.002 0.0000000063 0.0002358648 0.0007632432 0.0000009176 0.0000000002 0.0017651049 2.1936126172 5.8 0.0000015849 0.0000000063 71342.5929178181 349578705297308800 -4899928657.407083 -0.002 0.000000014 0.0003285923 0.0006708992 0.0000005089 0.0000000001 0.0016719178 2.2882104599 6 0.000001 0.00000001 33855.804904011 165893444029653888 -4899966144.195096 -0.002 0.0000000295 0.0004368877 0.0005628202 0.0000002694 0 0.0015633364 2.3981585309 6.2 0.000000631 0.0000000158 16921.6069127994 82915873872717264 -4899983078.393087 -0.002 0.0000000591 0.0005515183 0.0004482907 0.0000001354 0 0.0014485059 2.5144417384 6.4 0.0000003981 0.0000000251 8909.9625991368 43658816735770104 -4899991090.037401 -0.002 0.0000001122 0.0006608835 0.0003389415 0.0000000646 0 0.0013389603 2.6255025251 6.6 0.0000002512 0.0000000398 4918.7608202981 24101928019460812 -4899995081.23918 -0.002 0.0000002033 0.0007553439 0.0002444244 0.0000000294 0 0.0012442809 2.7216371776 6.8 0.0000001585 0.0000000631 2823.895035736 13837085675106618 -4899997176.104964 -0.002 0.0000003541 0.0008301407 0.0001694929 0.0000000129 0 0.0011691651 2.7980233445 7 0.0000001 0.0000001 1670.6635084012 8186251191165886 -4899998329.336492 -0.002 0.0000005986 0.0008853422 0.0001140541 0.0000000055 0 0.0011134668 2.8547465252 7.2 0.0000000631 0.0000001585 1010.1143206198 4949560171037244 -4899998989.885679 -0.002 0.00000099 0.0009239098 0.0000750982 0.0000000023 0 0.0010741129 2.894890826 7.4 0.0000000398 0.0000002512 620.0437366356 3038214309514648 -4899999379.956264 -0.002 0.0000016128 0.000949681 0.0000487055 0.0000000009 0 0.0010470946 2.9225213473 7.6 0.0000000251 0.0000003981 384.5580134657 1884334265981712.2 -4899999615.441986 -0.002 0.0000026004 0.0009661358 0.0000312635 0.0000000004 0 0.001028664 2.9414622259 7.8 0.0000000158 0.000000631 240.2092169647 1177025163126954.8 -4899999759.790783 -0.002 0.000004163 0.0009759113 0.0000199255 0.0000000002 0 0.0010157629 2.9548560956 8 0.00000001 0.000001 150.8163079401 738999908906583.8 -4899999849.183692 -0.002 0.0000066306 0.0009807351 0.0000126343 0.0000000001 0 0.0010060039 2.9651855939 8.2 0.0000000063 0.0000015849 95.0840096618 465911647342709.56 -4899999904.91599 -0.002 0.000010517 0.000981505 0.000007978 0 0 0.000997461 2.9744950883 8.4 0.000000004 0.0000025119 60.1863611705 294913169735525.75 -4899999939.813639 -0.002 0.0000166151 0.0009783673 0.0000050177 0 0 0.0009884026 2.9846794704 8.6 0.0000000025 0.0000039811 38.2737494532 187541372320783.97 -4899999961.726251 -0.002 0.0000261276 0.0009707312 0.0000031412 0 0 0.0009770137 2.9977952887 8.8 0.0000000016 0.0000063096 24.4901511812 120001740787922.39 -4899999975.509849 -0.002 0.0000408327 0.0009572129 0.0000019544 0 0 0.0009611216 3.0163854842 9 0.000000001 0.00001 15.8101384911 77469678606488.55 -4899999984.189861 -0.002 0.0000632506 0.0009355442 0.0000012052 0 0 0.0009379547 3.0437992273 9.2 0.0000000006 0.0000158489 10.3401287834 50666631038431.64 -4899999989.659871 -0.002 0.0000967106 0.0009025558 0.0000007336 0 0 0.000904023 3.0844301392 9.4 0.0000000004 0.0000251189 6.8914565048 33768136873717.91 -4899999993.108543 -0.002 0.0001451072 0.0008544546 0.0000004382 0 0 0.000855331 3.1436881609 9.6 0.0000000003 0.0000398107 4.7165545552 23111117320370.926 -4899999995.283445 -0.002 0.0002120192 0.0007877259 0.0000002549 0 0 0.0007882357 3.2274199099 9.8 0.0000000002 0.0000630957 3.3447074453 16389066482061.094 -4899999996.6552925 -0.002 0.0002989798 0.0007008771 0.0000001431 0 0 0.0007011633 3.340616888 10 0.0000000001 0.0001 2.4792989342 12148564777624.69 -4899999997.520701 -0.002 0.0004033398 0.0005965833 0.0000000769 0 0 0.000596737 3.4859468782 10.2 0.0000000001 0.0001584893 1.9333301585 9473317776886.475 -4899999998.066669 -0.002 0.0005172422 0.0004827185 0.0000000392 0 0 0.000482797 3.6638102272 10.4 0 0.0002511886 1.5888738549 7785481888885.758 -4899999998.411126 -0.002 0.0006293766 0.0003706044 0.000000019 0 0 0.0003706424 3.8759162509 10.6 0 0.0003981072 1.3715472517 6720581533551.081 -4899999998.628452 -0.002 0.0007291036 0.0002708877 0.0000000088 0 0 0.0002709052 4.1324585192 10.8 0 0.0006309573 1.2344276678 6048695572397.3125 -4899999998.765573 -0.002 0.000810092 0.0001899041 0.0000000039 0 0 0.0001899119 4.460719269 11 0 0.001 1.1479127443 5624772446972.045 -4899999998.852087 -0.002 0.0008711464 0.000128852 0.0000000017 0 0 0.0001288553 4.9139523167 11.2 0 0.0015848932 1.0933261887 5357298324429.083 -4899999998.906673 -0.002 0.0009146401 0.0000853592 0.0000000007 0 0 0.0000853606 5.5832553506 11.4 0 0.0025118864 1.0588846675 5188534870906.228 -4899999998.941115 -0.002 0.0009443899 0.0000556098 0.0000000003 0 0 0.0000556104 6.6188533667 11.6 0 0.0039810717 1.0371536431 5082052851370.879 -4899999998.962847 -0.002 0.0009641773 0.0000358226 0.0000000001 0 0 0.0000358228 8.2715834415 11.8 0 0.0063095734 1.023442336 5014867446481.802 -4899999998.976558 -0.002 0.0009770946 0.0000229053 0 0 0 0.0000229054 10.9767391664 12 0 0.01 1.0147911029 4972476404389.34 -4899999998.9852085 -0.002 0.0009854245 0.0000145755 0 0 0 0.0000145755 15.536844319 12.2 0 0.0158489319 1.0093325506 4945729497910.323 -4899999998.990667 -0.002 0.0009907537 0.0000092463 0 0 0 0.0000092463 23.5736829311 12.4 0 0.0251188643 1.0058884396 4928853353910.802 -4899999998.994112 -0.002 0.000994146 0.000005854 0 0 0 0.000005854 38.8759255462 12.6 0 0.0398107171 1.0037153535 4918205232117.247 -4899999998.9962845 -0.002 0.0009962984 0.0000037016 0 0 0 0.0000037016 72.7776098543 12.8 0 0.0630957344 1.0023442293 4911486723540.601 -4899999998.997656 -0.002 0.0009976613 0.0000023387 0 0 0 0.0000023387 181.7923837058 Met Alca Vb pH Método Alcalimétrico Cb=0,1mol/L Vmist=100mL calc pH M L H Beta CM(1)= 1.00E-03 pL pH [H+] [L-4] alfaM Exp(CL) cond p Carga(+) carga(-) cond C 0 1 0 1 CL(1)= 1.00E-03 16.1005365082 2.706101101 0.0019674282 7.93E-17 0.0124479123 -3.82E-17 1.76E-15 0.0039923241 0.0039923241 -0 0 1 1 14791083881.682108 0 1 2 19054607179632624 pL pH [H+] [OH-] [L] H4L H3L H2L HL alfa ML ML CTLcond n(ML) KF 0 1 3 9120108393559130100 16.1005365083 2.706101101 0.0019674282 0 0 1.08E-06 0.0000055101 0.0000058514 0.0000000023 0.9875520877 0.0009875521 -4.67E-15 0.0000325718 3.26E-05 9.88E-01 1000000000379637380 0 1 4 912010839355915100000 1 0 0 1 pL pH [H+] [OH-] alfa L nH [L]' [L] nML [L]' cond 1 1 0 1.00E+18 16.10 2.706101101 0.0019674282 5.08E-12 0 2.62E+00 1.24E-05 0 0.9875520877 1.24E-05 7.50E-19 0 0 1 1 0.9875520877 1.00E+18 0 0 -1 1.00E-14 EDTA ESP2 Conc de Trab = 0.1 pH [H+] [OH-] alfa L log(L-4) log(HL-3) log(H2L-2) log(H3L-) log(H4L) log(H5L+) log(H6L+2) log(H+) log(OH-) 0 1 0 0 -23.7679105866 -13.5979105866 -7.4879107502 -4.8079105101 -2.8079105101 -1.3079108129 -1.3079108129 0 -14 b1 = 14791083882 0.2 0.6309573445 0 0 -22.6857929883 -12.7157929883 -6.8057931519 -4.3257929118 -2.5257929118 -1.2257932146 -1.4257932146 -0.2 -13.8 b2 = 19054600000000000 0.4 0.3981071706 0 0 -21.6301281826 -11.8601281826 -6.1501283462 -3.8701281061 -2.2701281061 -1.1701284089 -1.5701284089 -0.4 -13.6 b3 = 9120110000000000000 0.6 0.2511886432 0 0 -20.6005501866 -11.0305501866 -5.5205503503 -3.4405501101 -2.0405501101 -1.140550413 -1.740550413 -0.6 -13.4 b4 = 912011000000000000000 0.8 0.1584893192 0 0 -19.5969646538 -10.2269646538 -4.9169648174 -3.0369645773 -1.8369645773 -1.1369648801 -1.9369648801 -0.8 -13.2 b5 = 28840300000000000000000 1 0.1 0 0 -18.6209217163 -9.4509217163 -4.3409218799 -2.6609216398 -1.6609216398 -1.1609219427 -2.1609219427 -1 -13 b6 = 28840300000000000000000 1.2 0.0630957344 0 0 -17.6765210176 -8.7065210176 -3.7965211813 -2.3165209411 -1.5165209411 -1.216521244 -2.416521244 -1.2 -12.8 Kw = 0 1.4 0.0398107171 0 0 -16.770509851 -8.000509851 -3.2905100146 -2.0105097745 -1.4105097745 -1.3105100773 -2.7105100773 -1.4 -12.6 1.6 0.0251188643 0 0 -15.911313441 -7.341313441 -2.8313136047 -1.7513133645 -1.3513133645 -1.4513136674 -3.0513136674 -1.6 -12.4 1.8 0.0158489319 0 0 -15.1069918761 -6.7369918761 -2.4269920398 -1.5469917996 -1.3469917996 -1.6469921025 -3.4469921025 -1.8 -12.2 2 0.01 0 0 -14.3628347854 -6.1928347854 -2.082834949 -1.4028347089 -1.4028347089 -1.9028350117 -3.9028350117 -2 -12 2.2 0.0063095734 0 0 -13.6799002208 -5.7099002208 -1.7999003844 -1.3199001443 -1.5199001443 -2.2199004471 -4.4199004471 -2.2 -11.8 2.4 0.0039810717 0 0 -13.0552008699 -5.2852008699 -1.5752010335 -1.2952007934 -1.6952007934 -2.5952010962 -4.9952010962 -2.4 -11.6 2.6 0.0025118864 0 0 -12.4828830701 -4.91288307 -1.4028832337 -1.3228829936 -1.9228829936 -3.0228832964 -5.6228832964 -2.6 -11.4 2.8 0.0015848932 0 0 -11.9553870829 -4.5853870829 -1.2753872465 -1.3953870064 -2.1953870064 -3.4953873093 -6.2953873093 -2.8 -11.2 3 0.001 0 0 -11.4643461682 -4.2943461682 -1.1843463319 -1.5043460917 -2.5043460917 -4.0043463946 -7.0043463946 -3 -11 3.2 0.0006309573 0 0.0000000001 -11.0014482713 -4.0314482713 -1.1214484349 -1.6414481948 -2.8414481948 -4.5414484977 -7.7414484977 -3.2 -10.8 3.4 0.0003981072 0 0.0000000003 -10.5592452592 -3.7892452592 -1.0792454228 -1.7992451827 -3.1992451827 -5.0992454855 -8.4992454855 -3.4 -10.6 3.6 0.0002511886 0 0.0000000007 -10.1316773466 -3.5616773466 -1.0516775103 -1.9716772701 -3.5716772701 -5.671677573 -9.271677573 -3.6 -10.4 3.8 0.0001584893 0.0000000001 0.0000000019 -9.7142126003 -3.3442126003 -1.0342127639 -2.1542125238 -3.9542125238 -6.2542128266 -10.0542128266 -3.8 -10.2 4 0.0001 0.0000000001 0.000000005 -9.3037072061 -3.1337072061 -1.0237073698 -2.3437071296 -4.3437071296 -6.8437074325 -10.8437074325 -4 -10 4.2 0.0000630957 0.0000000002 0.0000000126 -8.8981563634 -2.9281563634 -1.018156527 -2.5381562869 -4.7381562869 -7.4381565897 -11.6381565897 -4.2 -9.8 4.4 0.0000398107 0.0000000003 0.0000000319 -8.4964603049 -2.7264603049 -1.0164604686 -2.7364602284 -5.1364602284 -8.0364605313 -12.4364605313 -4.4 -9.6 4.6 0.0000251189 0.0000000004 0.0000000798 -8.0982657915 -2.5282657915 -1.0182659551 -2.938265715 -5.538265715 -8.6382660178 -13.2382660178 -4.6 -9.4 4.8 0.0000158489 0.0000000006 0.0000001977 -7.7039005441 -2.3339005441 -1.0239007078 -3.1439004676 -5.9439004676 -9.2439007705 -14.0439007705 -4.8 -9.2 5 0.00001 0.000000001 0.0000004848 -7.3143941829 -2.1443941829 -1.0343943465 -3.3543941064 -6.3543941064 -9.8543944093 -14.8543944093 -5 -9 5.2 0.0000063096 0.0000000016 0.0000011707 -6.9315575502 -1.9615575502 -1.0515577138 -3.5715574737 -6.7715574737 -10.4715577766 -15.6715577766 -5.2 -8.8 5.4 0.0000039811 0.0000000025 0.0000027666 -6.5580555499 -1.7880555499 -1.0780557135 -3.7980554734 -7.1980554734 -11.0980557762 -16.4980557762 -5.4 -8.6 5.6 0.0000025119 0.000000004 0.0000063482 -6.1973508706 -1.6273508706 -1.1173510342 -4.0373507941 -7.6373507941 -11.7373510969 -17.3373510969 -5.6 -8.4 5.8 0.0000015849 0.0000000063 0.0000140169 -5.8533488895 -1.4833488895 -1.1733490532 -4.2933488131 -8.0933488131 -12.3933491159 -18.1933491159 -5.8 -8.2 6 0.000001 0.00000001 0.000029537 -5.5296331434 -1.3596331434 -1.249633307 -4.5696330669 -8.5696330669 -13.0696333697 -19.0696333697 -6 -8 6.2 0.000000631 0.0000000158 0.000059096 -5.2284416022 -1.2584416022 -1.3484417659 -4.8684415257 -9.0684415257 -13.7684418286 -19.9684418286 -6.2 -7.8 6.4 0.0000003981 0.0000000251 0.0001122339 -4.949875881 -1.179875881 -1.4698760447 -5.1898758045 -9.5898758045 -14.4898761074 -20.8898761074 -6.4 -7.6 6.6 0.0000002512 0.0000000398 0.0002033032 -4.6918557051 -1.1218557051 -1.6118558687 -5.5318556286 -10.1318556286 -15.2318559314 -21.8318559314 -6.6 -7.4 6.8 0.0000001585 0.0000000631 0.0003541208 -4.4508485499 -1.0808485499 -1.7708487136 -5.8908484734 -10.6908484734 -15.9908487763 -22.7908487763 -6.8 -7.2 7 0.0000001 0.0000001 0.0005985646 -4.2228889866 -1.0528889866 -1.9428891502 -6.2628889101 -11.2628889101 -16.762889213 -23.762889213 -7 -7 7.2 0.0000000631 0.0000001585 0.000989987 -4.0043705282 -1.0343705282 -2.1243706919 -6.6443704517 -11.8443704517 -17.5443707546 -24.7443707546 -7.2 -6.8 7.4 0.0000000398 0.0000002512 0.0016127895 -3.7924223248 -1.0224223248 -2.3124224885 -7.0324222483 -12.4324222483 -18.3324225512 -25.7324225512 -7.4 -6.6 7.6 0.0000000251 0.0000003981 0.0026003879 -3.5849618657 -1.0149618657 -2.5049620293 -7.4249617892 -13.0249617892 -19.124962092 -26.724962092 -7.6 -6.4 7.8 0.0000000158 0.000000631 0.0041630376 -3.3805896675 -1.0105896675 -2.7005898312 -7.820589591 -13.620589591 -19.9205898939 -27.7205898939 -7.8 -6.2 8 0.00000001 0.000001 0.0066305827 -3.1784483048 -1.0084483048 -2.8984484685 -8.2184482283 -14.2184482283 -20.7184485312 -28.7184485312 -8 -6 8.2 0.0000000063 0.0000015849 0.0105170155 -2.9781074875 -1.0081074875 -3.0981076511 -8.618107411 -14.818107411 -21.5181077138 -29.7181077138 -8.2 -5.8 8.4 0.000000004 0.0000025119 0.01661506 -2.7794980869 -1.0094980869 -3.2994982506 -9.0194980104 -15.4194980104 -22.3194983133 -30.7194983133 -8.4 -5.6 8.6 0.0000000025 0.0000039811 0.0261275682 -2.5829010096 -1.0129010096 -3.5029011732 -9.4229009331 -16.0229009331 -23.1229012359 -31.7229012359 -8.6 -5.4 8.8 0.0000000016 0.0000063096 0.040832741 -2.3889914661 -1.0189914661 -3.7089916297 -9.8289913896 -16.6289913896 -23.9289916924 -32.7289916924 -8.8 -5.2 9 0.000000001 0.00001 0.0632505528 -2.1989356742 -1.0289356742 -3.9189358379 -10.2389355977 -17.2389355977 -24.7389359006 -33.7389359006 -9 -5 9.2 0.0000000006 0.0000158489 0.0967105943 -2.0145259478 -1.0445259478 -4.1345261114 -10.6545258713 -17.8545258713 -25.5545261742 -34.7545261742 -9.2 -4.8 9.4 0.0000000004 0.0000251189 0.1451072062 -1.8383110195 -1.0683110195 -4.3583111831 -11.078310943 -18.478310943 -26.3783112458 -35.7783112458 -9.4 -4.6 9.6 0.0000000003 0.0000398107 0.2120191738 -1.6736248622 -1.1036248622 -4.5936250258 -11.5136247857 -19.1136247857 -27.2136250885 -36.8136250885 -9.6 -4.4 9.8 0.0000000002 0.0000630957 0.298979811 -1.5243581369 -1.1543581369 -4.8443583006 -11.9643580604 -19.7643580604 -28.0643583633 -37.8643583633 -9.8 -4.2 10 0.0000000001 0.0001 0.4033398257 -1.3943288937 -1.2243288937 -5.1143290573 -12.4343288172 -20.4343288172 -28.9343291201 -38.9343291201 -10 -4 10.2 0.0000000001 0.0001584893 0.5172422287 -1.2863060257 -1.3163060257 -5.4063061893 -12.9263059492 -21.1263059492 -29.826306252 -40.026306252 -10.2 -3.8 10.4 0 0.0002511886 0.6293765845 -1.2010894187 -1.4310894187 -5.7210895824 -13.4410893422 -21.8410893422 -30.7410896451 -41.1410896451 -10.4 -3.6 10.6 0 0.0003981072 0.7291035717 -1.1372107743 -1.5672107742 -6.0572109379 -13.9772106978 -22.5772106978 -31.6772110006 -42.2772110006 -10.6 -3.4 10.8 0 0.0006309573 0.8100920176 -1.0914656472 -1.7214656472 -6.4114658109 -14.5314655707 -23.3314655707 -32.6314658736 -43.4314658736 -10.8 -3.2 11 0 0.001 0.8711463524 -1.0599088775 -1.8899088775 -6.7799090411 -15.099908801 -24.099908801 -33.5999091039 -44.5999091039 -11 -3 11.2 0 0.0015848932 0.9146401233 -1.038749751 -2.068749751 -7.1587499146 -15.6787496745 -24.8787496745 -34.5787499773 -45.7787499773 -11.2 -2.8 11.4 0 0.0025118864 0.9443899139 -1.0248486598 -2.2548486598 -7.5448488235 -16.2648485833 -25.6648485833 -35.5648488862 -46.9648488862 -11.4 -2.6 11.6 0 0.0039810717 0.9641773007 -1.0158430972 -2.4458430972 -7.9358432608 -16.8558430207 -26.4558430207 -36.5558433236 -48.1558433236 -11.6 -2.4 11.8 0 0.0063095734 0.9770946196 -1.0100633782 -2.6400633782 -8.3300635418 -17.4500633017 -27.2500633017 -37.5500636045 -49.3500636045 -11.8 -2.2 12 0 0.01 0.985424485 -1.0063766509 -2.8363766509 -8.7263768146 -18.0463765744 -28.0463765744 -38.5463768773 -50.5463768773 -12 -2 12.2 0 0.0158489319 0.9907537406 -1.0040342793 -3.0340342793 -9.124034443 -18.6440342028 -28.8440342028 -39.5440345057 -51.7440345057 -12.2 -1.8 12.4 0 0.0251188643 0.9941460312 -1.0025498169 -3.2325498169 -9.5225499806 -19.2425497404 -29.6425497404 -40.5425500433 -52.9425500433 -12.4 -1.6 12.6 0 0.0398107171 0.9962983993 -1.0016105675 -3.4316105674 -9.9216107311 -19.841610491 -30.441610491 -41.5416107938 -54.1416107938 -12.6 -1.4 12.8 0 0.0630957344 0.9976612533 -1.0010168944 -3.6310168944 -10.321017058 -20.4410168179 -31.2410168179 -42.5410171207 -55.3410171207 -12.8 -1.2 EDTA ESP2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 log(L-4) log(HL-3) log(H2L-2) log(H3L-) log(H4L) log(H5L+) log(H6L+2) log(H+) log(OH-) pH Log[E] Curva de Especiação Ativar Menu EDTAxKOH Conc de Na2H2L = 0.1 pH [H+] [OH-] alfa L Vb Conc de KaOH = 0.1 3 0.001 0 0 -9.5841926135 b1 = 14791083882 3.2 0.0006309573 0 0.0000000001 -6.5362746195 b2 = 19054600000000000 3.4 0.0003981072 0 0.0000000003 -4.3308662527 b3 = 9120110000000000000 3.6 0.0002511886 0 0.0000000007 -2.7908092658 b4 = 912011000000000000000 3.8 0.0001584893 0.0000000001 0.0000000019 -1.732330301 b5 = 28840300000000000000000 4 0.0001 0.0000000001 0.000000005 -0.9959921299 b6 = 28840300000000000000000 4.2 0.0000630957 0.0000000002 0.0000000126 -0.453744047 Kw = 0 4.4 0.0000398107 0.0000000003 0.0000000319 -0.002923144 V(EDTA) = 25 4.6 0.0000251189 0.0000000004 0.0000000798 0.4447311301 4.8 0.0000158489 0.0000000006 0.0000001977 0.9747170578 5 0.00001 0.000000001 0.0000004848 1.6794463903 5.2 0.0000063096 0.0000000016 0.0000011707 2.6625635632 5.4 0.0000039811 0.0000000025 0.0000027666 4.031870565 5.6 0.0000025119 0.000000004 0.0000063482 5.8730217162 5.8 0.0000015849 0.0000000063 0.0000140169 8.2021385058 6 0.000001 0.00000001 0.000029537 10.9165034334 6.2 0.000000631 0.0000000158 0.000059096 13.7872401989 6.4 0.0000003981 0.0000000251 0.0001122339 16.5258995223 6.6 0.0000002512 0.0000000398 0.0002033032 18.8929164331 6.8 0.0000001585 0.0000000631 0.0003541208 20.770846161 7 0.0000001 0.0000001 0.0005985646 22.1633390036 7.2 0.0000000631 0.0000001585 0.000989987 23.1472281549 7.4 0.0000000398 0.0000002512 0.0016127895 23.82274042 7.6 0.0000000251 0.0000003981 0.0026003879 24.283586552 7.8 0.0000000158 0.000000631 0.0041630376 24.6062349354 8 0.00000001 0.000001 0.0066305827 24.8503973104 8.2 0.0000000063 0.0000015849 0.0105170155 25.0642652612 8.4 0.000000004 0.0000025119 0.01661506 25.2911956266 8.6 0.0000000025 0.0000039811 0.0261275682 25.5766706543 8.8 0.0000000016 0.0000063096 0.040832741 25.9751745307 9 0.000000001 0.00001 0.0632505528 26.5562885558 9.2 0.0000000006 0.0000158489 0.0967105943 27.4077299666 9.4 0.0000000004 0.0000251189 0.1451072062 28.6301958184 9.6 0.0000000003 0.0000398107 0.2120191738 30.3161283766 9.8 0.0000000002 0.0000630957 0.298979811 32.507202259 10 0.0000000001 0.0001 0.4033398257 35.1417159285 10.2 0.0000000001 0.0001584893 0.5172422287 38.0299705281 10.4 0 0.0002511886 0.6293765845 40.899471403 10.6 0 0.0003981072 0.7291035717 43.5000738373 10.8 0 0.0006309573 0.8100920176 45.6982794817 11 0 0.001 0.8711463524 47.5036538416 11.2 0 0.0015848932 0.9146401233 49.039431644 11.4 0 0.0025118864 0.9443899139 50.5063751057 11.6 0 0.0039810717 0.9641773007 52.1768972354 11.8 0 0.0063095734 0.9770946196 54.4396685513 12 0 0.01 0.985424485 57.9284573943 12.2 0 0.0158489319 0.9907537406 63.8507359875 12.4 0 0.0251188643 0.9941460312 74.9632951866 12.6 0 0.0398107171 0.9962983993 99.4531522666 EDTAxKOH 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Vb(mL) pH Curva de Titulação 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 alfa L alfa(HL-3) alfa(H2L-2) alfa(H3L-) alfa(H4L) alfa(H5L+) alfa(H6L+2) pH Log[E] Curva de alfa EDTA ESP Conc de Trab = 0.1 pH [H+] [OH-] alfa L log(L) log(HL) log(H2L) log(H3L) log(H4L) log(H+) log(OH-) 0 1 0 0 -22.2043321746 -11.9043321746 -5.6043321746 -3.0043321746 -1.0043321746 0 -14 b1 = 2.00E+10 0.2 0.6309573445 0 0 -21.4068561021 -11.3068561021 -5.2068561021 -2.8068561021 -1.0068561021 -0.2 -13.8 10.3 b2 = 3.98E+16 0.4 0.3981071706 0 0 -20.6108413649 -10.7108413649 -4.8108413649 -2.6108413649 -1.0108413649 -0.4 -13.6 16.6 b3 = 1.58E+19 0.6 0.2511886432 0 0 -19.817120534 -10.117120534 -4.417120534 -2.417120534 -1.017120534 -0.6 -13.4 19.2 b4 = 1.58E+21 0.8 0.1584893192 0 0 -19.0269807036 -9.5269807036 -4.0269807036 -2.2269807036 -1.0269807036 -0.8 -13.2 21.2 Kw = 1.00E-14 1 0.1 0 0 -18.2423832854 -8.9423832854 -3.6423832854 -2.0423832854 -1.0423832854 -1 -13 1.2 0.0630957344 0 0 -17.4662509678 -8.3662509678 -3.2662509678 -1.8662509678 -1.0662509678 -1.2 -12.8 1.4 0.0398107171 0 0 -16.7027895628 -7.8027895628 -2.9027895628 -1.7027895628 -1.1027895628 -1.4 -12.6 1.6 0.0251188643 0 0 -15.9577343263 -7.2577343263 -2.5577343263 -1.5577343263 -1.1577343263 -1.6 -12.4 1.8 0.0158489319 0 0 -15.2382871592 -6.7382871592 -2.2382871592 -1.4382871592 -1.2382871592 -1.8 -12.2 2 0.01 0 0 -14.5524143178 -6.2524143178 -1.9524143178 -1.3524143178 -1.3524143178 -2 -12 2.2 0.0063095734 0 0 -13.9073026242 -5.8073026242 -1.7073026242 -1.3073026242 -1.5073026242 -2.2 -11.8 2.4 0.0039810717 0 0 -13.3073128571 -5.4073128571 -1.5073128571 -1.3073128571 -1.7073128571 -2.4 -11.6 2.6 0.0025118864 0 0 -12.7524503796 -5.0524503796 -1.3524503796 -1.3524503796 -1.9524503796 -2.6 -11.4 2.8 0.0015848932 0 0 -12.2383656996 -4.7383656996 -1.2383656996 -1.4383656996 -2.2383656996 -2.8 -11.2 3 0.001 0 0 -11.7578854336 -4.4578854336 -1.1578854336 -1.5578854336 -2.5578854336 -3 -11 3.2 0.0006309573 0 0 -11.303061676 -4.203061676 -1.103061676 -1.703061676 -2.903061676 -3.2 -10.8 3.4 0.0003981072 0 0.0000000001 -10.8667200852 -3.9667200852 -1.0667200852 -1.8667200852 -3.2667200852 -3.4 -10.6 3.6 0.0002511886 0 0.0000000004 -10.4431685313 -3.7431685313 -1.0431685313 -2.0431685313 -3.6431685313 -3.6 -10.4 3.8 0.0001584893 0.0000000001 0.0000000009 -10.0282694242 -3.5282694242 -1.0282694242 -2.2282694242 -4.0282694242 -3.8 -10.2 4 0.0001 0.0000000001 0.0000000024 -9.6192080017 -3.3192080017 -1.0192080017 -2.4192080017 -4.4192080017 -4 -10 4.2 0.0000630957 0.0000000002 0.0000000061 -9.2141930742 -3.1141930742 -1.0141930742 -2.6141930742 -4.8141930742 -4.2 -9.8 4.4 0.0000398107 0.0000000003 0.0000000154 -8.812204844 -2.912204844 -1.012204844 -2.812204844 -5.212204844 -4.4 -9.6 4.6 0.0000251189 0.0000000004 0.0000000387 -8.4128278564 -2.7128278564 -1.0128278564 -3.0128278564 -5.6128278564 -4.6 -9.4 4.8 0.0000158489 0.0000000006 0.0000000963 -8.0161732742 -2.5161732742 -1.0161732742 -3.2161732742 -6.0161732742 -4.8 -9.2 5 0.00001 0.000000001 0.0000002383 -7.6228834726 -2.3228834726 -1.0228834726 -3.4228834726 -6.4228834726 -5 -9 6.6228834726 5.2 0.0000063096 0.0000000016 0.0000005832 -7.2342059572 -2.1342059572 -1.0342059572 -3.6342059572 -6.8342059572 -5.2 -8.8 5.4 0.0000039811 0.0000000025 0.0000014057 -6.8521087121 -1.9521087121 -1.0521087121 -3.8521087121 -7.2521087121 -5.4 -8.6 5.6 0.0000025119 0.000000004 0.0000033161 -6.4793731849 -1.7793731849 -1.0793731849 -4.0793731849 -7.6793731849 -5.6 -8.4 5.8 0.0000015849 0.0000000063 0.0000075938 -6.1195425159 -1.6195425159 -1.1195425159 -4.3195425159 -8.1195425159 -5.8 -8.2 6 0.000001 0.00000001 0.0000167279 -5.7765572963 -1.4765572963 -1.1765572963 -4.5765572963 -8.5765572963 -6 -8 6.2 0.000000631 0.0000000158 0.0000351578 -5.4539779568 -1.3539779568 -1.2539779568 -4.8539779568 -9.0539779568 -6.2 -7.8 6.4 0.0000003981 0.0000000251 0.0000701515 -5.1539628294 -1.2539628294 -1.3539628294 -5.1539628294 -9.5539628294 -6.4 -7.6 6.6 0.0000002512 0.0000000398 0.0001328902 -4.8765070793 -1.1765070793 -1.4765070793 -5.4765070793 -10.0765070793 -6.6 -7.4 6.8 0.0000001585 0.0000000631 0.0002401917 -4.619441958 -1.119441958 -1.619441958 -5.819441958 -10.619441958 -6.8 -7.2 7 0.0000001 0.0000001 0.0004176437 -4.3791940438 -1.0791940438 -1.7791940438 -6.1791940438 -11.1791940438 -7 -7 7.2 0.0000000631 0.0000001585 0.0007050104 -4.151804452 -1.051804452 -1.951804452 -6.551804452 -11.751804452 -7.2 -6.8 7.4 0.0000000398 0.0000002512 0.0011649242 -3.9337023416 -1.0337023416 -2.1337023416 -6.9337023416 -12.3337023416 -7.4 -6.6 7.6 0.0000000251 0.0000003981 0.0018964308 -3.7220630006 -1.0220630006 -2.3220630006 -7.3220630006 -12.9220630006 -7.6 -6.4 7.8 0.0000000158 0.000000631 0.0030559748 -3.5148502312 -1.0148502312 -2.5148502312 -7.7148502312 -13.5148502312 -7.8 -6.2 8 0.00000001 0.000001 0.0048898005 -3.3107088555 -1.0107088555 -2.7107088555 -8.1107088555 -14.1107088555 -8 -6 8.2 0.0000000063 0.0000015849 0.0077834678 -3.1088268688 -1.0088268688 -2.9088268688 -8.5088268688 -14.7088268688 -8.2 -5.8 8.4 0.000000004 0.0000025119 0.0123359653 -2.9088268607 -1.0088268607 -3.1088268607 -8.9088268607 -15.3088268607 -8.4 -5.6 8.6 0.0000000025 0.0000039811 0.019466648 -2.7107088239 -1.0107088239 -3.3107088239 -9.3107088239 -15.9107088239 -8.6 -5.4 8.8 0.0000000016 0.0000063096 0.0305597538 -2.5148501483 -1.0148501483 -3.5148501483 -9.7148501483 -16.5148501483 -8.8 -5.2 9 0.000000001 0.00001 0.0476362105 -2.322062794 -1.022062794 -3.722062794 -10.122062794 -17.122062794 -9 -5 9.2 0.0000000006 0.0000158489 0.0735018321 -2.1337018358 -1.0337018358 -3.9337018358 -10.5337018358 -17.7337018358 -9.2 -4.8 9.4 0.0000000004 0.0000251189 0.1117369383 -1.9518032331 -1.0518032331 -4.1518032331 -10.9518032331 -18.3518032331 -9.4 -4.6 9.6 0.0000000003 0.0000398107 0.1662680605 -1.7791911691 -1.0791911691 -4.3791911691 -11.3791911691 -18.9791911691 -9.6 -4.4 9.8 0.0000000002 0.0000630957 0.2401953657 -1.6194353761 -1.1194353761 -4.6194353761 -11.8194353761 -19.6194353761 -9.8 -4.2 10 0.0000000001 0.0001 0.3338162071 -1.4764925817 -1.1764925817 -4.8764925817 -12.2764925817 -20.2764925817 -10 -4 10.2 0.0000000001 0.0001584893 0.4426573088 -1.3539323607 -1.2539323607 -5.1539323607 -12.7539323607 -20.9539323607 -10.2 -3.8 10.4 0 0.0002511886 0.5572920372 -1.2539171623 -1.3539171623 -5.4539171623 -13.2539171623 -21.6539171623 -10.4 -3.6 10.6 0 0.0003981072 0.6661282785 -1.1764421293 -1.4764421293 -5.7764421293 -13.7764421293 -22.3764421293 -10.6 -3.4 10.8 0 0.0006309573 0.7597411545 -1.1193343476 -1.6193343476 -6.1193343476 -14.3193343476 -23.1193343476 -10.8 -3.2 11 0 0.001 0.8336597024 -1.079011191 -1.779011191 -6.479011191 -14.879011191 -23.879011191 -11 -3 11.2 0 0.0015848932 0.8881829799 -1.0514975534 -1.9514975534 -6.8514975534 -15.4514975534 -24.6514975534 -11.2 -2.8 11.4 0 0.0025118864 0.9264119024 -1.0331958738 -2.1331958738 -7.2331958738 -16.0331958738 -25.4331958738 -11.4 -2.6 11.6 0 0.0039810717 0.9522730512 -1.0212385058 -2.3212385058 -7.6212385058 -16.6212385058 -26.2212385058 -11.6 -2.4 11.8 0 0.0063095734 0.969346476 -1.0135209642 -2.5135209642 -8.0135209642 -17.2135209642 -27.0135209642 -11.8 -2.2 12 0 0.01 0.9804376579 -1.0085800162 -2.7085800162 -8.4085800162 -17.8085800162 -27.8085800162 -12 -2 12.2 0 0.0158489319 0.9875672493 -1.005433321 -2.905433321 -8.805433321 -18.405433321 -28.605433321 -12.2 -1.8 12.4 0 0.0251188643 0.9921193099 -1.0034360975 -3.1034360975 -9.2034360975 -19.0034360975 -29.4034360975 -12.4 -1.6 12.6 0 0.0398107171 0.9950131188 -1.0021711932 -3.3021711932 -9.6021711932 -19.6021711932 -30.2021711932 -12.6 -1.4 12.8 0 0.0630957344 0.9968476898 -1.0013711933 -3.5013711933 -10.0013711933 -20.2013711933 -31.0013711933 -12.8 -1.2 EDTA ESP 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 LOG(L) Log(HL) Log(H2L) Log(H3L) Log(H4L) Log(H+) Log(OH-) pH Log[E] Curva de Especiação pH mínimo kf' = 1.00E+08 pH [H+] [OH-] alfa(L) Kf pKf cond 0.071 0.849180475 0 0 4.80E+28 28.6810968355 -16.6810968355 b1= 14791083881.682108 0.523 0.2999162519 0 0 7.63E+26 26.8823419606 -14.8823419606 b2 19054607179632624 0.574 0.2666858665 0 0 4.79E+26 26.6801099277 -14.6801099277 b3 9120108393559130100 0.751 0.1774189481 0 0 9.55E+25 25.980086291 -13.980086291 b4 912010839355915100000 0.776 0.1674942876 0 0 7.61E+25 25.8814894855 -13.8814894855 1.237 0.0579428696 0 0 1.21E+24 24.0834426602 -12.0834426602 1.555 0.0278612117 0 0 7.62E+22 22.8817124758 -10.8817124758 1.832 0.014723125 0 0 7.61E+21 21.8813430858 -9.8813430858 2.129 0.0074301914 0 0 7.57E+20 20.8792617016 -8.8792617016 2.458 0.0034833732 0 0 7.51E+19 19.8756473712 -7.8756473712 2.833 0.0014689263 0 0 7.43E+18 18.8709285671 -6.8709285671 3.261 0.000548277 0 0.0000000001 7.32E+17 17.8646075228 -5.8646075228 3.728 0.0001870682 0.0000000001 0.0000000014 7.30E+16 16.8635572586 -4.8635572586 4.218 0.0000605341 0.0000000002 0.0000000137 7.28E+15 15.8618561088 -3.8618561088 4.719 0.0000190985 0.0000000005 0.0000001371 7.30E+14 14.8631078374 -2.8631078374 5.234 0.0000058345 0.0000000017 0.0000013573 7.37E+13 13.8673176011 -1.8673176011 5.786 0.0000016368 0.0000000061 0.0000132799 7.53E+12 12.8768053085 -0.8768053085 6.442 0.0000003614 0.0000000277 0.0001276172 7.84E+11 11.8940906283 0.1059093717 7.291 0.0000000512 0.0000001954 0.0012380489 8.08E+10 10.9072622161 1.0927377839 8.267 0.0000000054 0.0000018493 0.0122638274 8.15E+09 9.9113739704 2.0886260296 9.306 0.0000000005 0.0000202302 0.120249445 8.32E+08 8.9199169193 3.0800830807 pH mínimo 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Epeciação(ML x pH) CM = 1.00E-03 pH [H+] [OH-] A a b c L HL H2L H3L H4L M ML + - Bc CL = 1.00E-03 0 1 0 921150002371445000000 45115976062272820000000000000000 921150002371445000000 -1.00E-03 0 0 0.0000000207 0.0000098962 0.0009896239 0.001 0 1.00E+00 2.01E-03 1.00E+00 0.0008634143 Kf = 48977881936.844666 0.2 0.6309573445 0 146842430512444210000 7192031224957809000000000000000 146842430512444210000 -1.00E-03 0 0 0.0000000517 0.0000156015 0.0009843894 0.001 0 6.35E-01 2.02E-03 6.33E-01 -0.1986363322 b1 = 14791083881.682108 0.4 0.3981071706 0 23487136422623855000 1150350194741835300000000000000 23487136422623855000 -1.00E-03 0 0 0.0000001286 0.0000245002 0.000975372 0.001 0 4.02E-01 2.02E-03 4.00E-01 -0.3978505389 b2 = 19054607179632624 0.6 0.2511886432 0 3776526792925598700 184966283395240600000000000000 3776526792925598700 -1.00E-03 0 0 0.0000003184 0.0000382743 0.0009614081 0.001 0 2.55E-01 2.04E-03 2.53E-01 -0.5966225279 b3 = 9120108393559130100 0.8 0.1584893192 0 612226375250721540 29985551125652200000000000000 612226375250721540 -1.00E-03 0 0 0.0000007818 0.0000593046 0.0009399144 0.001 0 1.62E-01 2.06E-03 1.60E-01 -0.7947186096 b4 = 912010839355915100000 1 0.1 0 100511739880055392 4922852129112194300000000000 100511739880055392 -1.00E-03 0 0 0.0000018958 0.0000907367 0.0009073674 0.001 0 1.04E-01 2.09E-03 1.02E-01 -0.9918024965 1.2 0.0630957344 0 16821124050984356 823863027814130000000000000 16821124050984356 -1.00E-03 0 0.0000000001 0.0000045097 0.0001361899 0.0008593003 0.001 0 6.71E-02 2.15E-03 6.50E-02 -1.1874173341 1.4 0.0398107171 0 2896507696152623 141864811971325110000000000 2896507696152623 -1.00E-03 0 0.0000000002 0.0000104262 0.0001986668 0.0007909068 0.001 0 4.38E-02 2.22E-03 4.16E-02 -1.3809985782 kf'= 1.98E+10 1.6 0.0251188643 0 519645047726099.56 25451113796594917000000000 519645047726099.56 -1.00E-03 0 0.0000000007 0.0000231363 0.000278159 0.0006987039 0.0009999999 0.0000000001 2.91E-02 2.32E-03 2.68E-02 -1.5719554734 [M]= 0.000000225 1.8 0.0158489319 0 98638334556835.03 4831096704371651000000000 98638334556835.03 -1.00E-03 0 0.0000000024 0.0000485237 0.00036809 0.0005833834 0.0009999995 0.0000000005 1.98E-02 2.47E-03 1.74E-02 -1.7598556493 pM= 6.6478355531 2 0.01 0 20145825415921.36 986699858741281000000000 20145825415921.36 -1.00E-03 0 0.0000000073 0.0000945832 0.0004527035 0.0004527035 0.0009999976 0.0000000024 1.40E-02 2.64E-03 1.14E-02 -1.9446943741 2.2 0.0063095734 0 4494978323973.971 220154517660273060000000 4494978323973.971 -1.00E-03 0 0.0000000208 0.0001687593 0.0005096449 0.0003215642 0.0009999891 0.0000000109 1.03E-02 2.85E-03 7.46E-03 -2.127127055 pM= 6.6478844092 2.4 0.0039810717 0 1106580759020.6765 54197981768898650000000 1106580759020.6765 -1.00E-03 0 0.0000000532 0.0002728963 0.0005199932 0.000207013 0.0009999557 0.0000000443 7.98E-03 3.07E-03 4.91E-03 -2.3084809646 2.6 0.0025118864 0 301115379537.2548 14747993508343840000000 301115379537.2548 -1.00E-03 0 0.0000001234 0.0003992054 0.0004799505 0.0001205581 0.0009998374 0.0000001626 6.51E-03 3.28E-03 3.23E-03 -2.4904608522 2.8 0.0015848932 0 89948656371.79926 4405494672155794700000 89948656371.79926 -1.00E-03 0 0.0000002605 0.0005318254 0.0004034308 0.0000639395 0.0009994561 0.0000005439 5.58E-03 3.47E-03 2.11E-03 -2.6747194856 3 0.001 0 29101517497.42935 1425330688172114000000 29101517497.42935 -1.00E-03 0 0.0000005074 0.0006536651 0.0003128638 0.0000312864 0.0009983226 0.0000016774 5.00E-03 3.63E-03 1.37E-03 -2.8627806302 3.2 0.0006309573 0 10030519924.142214 491273620609805450000 10030519924.142214 -1.00E-03 0 0.0000009259 0.0007526123 0.0002272853 0.0000143407 0.0009951642 0.0000048358 4.62E-03 3.74E-03 8.76E-04 -3.057334002 3.4 0.0003981072 0 3624188771.8204303 177505089783059120000 3624188771.8204303 -1.00E-03 0 0.0000016034 0.00082231 0.0001566879 0.0000062379 0.0009868392 0.0000131608 4.37E-03 3.83E-03 5.39E-04 -3.2681326577 3.6 0.0002511886 0 1354154545.5306857 66323621455243470000 1354154545.5306857 -1.00E-03 0 0.000002651 0.0008578543 0.0001031368 0.0000025907 0.0009662328 0.0000337672 4.18E-03 3.89E-03 2.89E-04 -3.5386196391 3.8497779464 0.000141326 0.0000000001 408775976.9806056 20020981539174433000 408775976.9806056 -1.00E-03 0 0.0000046147 8.40E-04 0.0000568319 0.0000008032 0.0009024253 0.0000975747 3.95E-03 3.95E-03 4.67E-11 -10.3309500246 4 0.0001 0.0000000001 201236490.66198918 9856137081027850000 201236490.66198918 -1.00E-03 0 0.0000061128 0.0007874798 0.0000376912 0.0000003769 0.0008316607 0.0001683393 3.76E-03 3.97E-03 -2.04E-04 0 4.2 0.0000630957 0.0000000002 79096334.8541911 3873970950125703200 79096334.8541911 -1.00E-03 0 0.0000082377 0.0006695823 0.0000202211 0.0000001276 0.0006981687 0.0003018313 3.46E-03 3.99E-03 -5.28E-04 0 4.4 0.0000398107 0.0000000003 31366092.664365776 1536244783335436540 31366092.664365776 -1.00E-03 0 0.0000101702 0.0005215879 0.0000099387 0.0000000396 0.0005417363 0.0004582637 3.12E-03 4.00E-03 -8.77E-04 0 4.6 0.0000251189 0.0000000004 12539087.630400753 614137953557517440 12539087.630400753 -1.00E-03 0 0.0000116717 0.0003776891 0.0000045408 0.0000000114 0.0003939131 0.0006060869 2.81E-03 4.01E-03 -1.19E-03 0 4.8 0.0000158489 0.0000000006 5057090.154229156 247685564517815168 5057090.154229156 -1.00E-03 0.0000000001 0.0000126932 0.0002591616 0.0000019659 0.0000000031 0.0002738239 0.0007261761 2.56E-03 4.01E-03 -1.45E-03 0 5 0.00001 0.000000001 2062501.7852820365 101016968934074928 2062501.7852820365 -1.00E-03 0.0000000001 0.0000132837 0.0001711276 0.0000008191 0.0000000008 0.0001852313 0.0008147687 2.38E-03 4.01E-03 -1.63E-03 0 5.2 0.0000063096 0.0000000016 854196.3182014248 41836726423756784 854196.3182014248 -1.00E-03 0.0000000001 0.0000135072 0.0001097906 0.0000003316 0.0000000002 0.0001236297 0.0008763703 2.25E-03 4.01E-03 -1.76E-03 0 5.4 0.0000039811 0.0000000025 361456.2065998644 17703359412187890 361456.2065998644 -1.00E-03 0.0000000002 0.0000134067 0.000068758 0.000000131 0.0000000001 0.0000822961 0.0009177039 2.17E-03 4.01E-03 -1.84E-03 0 5.6 0.0000025119 0.000000004 157525.5466563397 7715267626171123 157525.5466563397 -1.00E-03 0.0000000003 0.000013002 0.0000420738 0.0000000506 0 0.0000551267 0.0009448733 2.11E-03 4.01E-03 -1.90E-03 0 5.8 0.0000015849 0.0000000063 71342.6109453397 3494209975947090 71342.6109453397 -1.00E-03 0.0000000005 0.0000123038 0.0000251211 0.0000000191 0 0.0000374444 0.0009625556 2.08E-03 4.01E-03 -1.94E-03 0 6 0.000001 0.00000001 33855.8120817191 1658185967014438.8 33855.8120817191 -1.00E-03 0.0000000008 0.0000113364 0.0000146041 0.000000007 0 0.0000259482 0.0009740518 2.05E-03 4.01E-03 -1.96E-03 0 6.2 0.000000631 0.0000000158 16921.6097704586 828784605518876.1 16921.6097704586 -1.00E-03 0.0000000011 0.0000101565 0.0000082555 0.0000000025 0 0.0000184155 0.0009815845 2.04E-03 4.01E-03 -1.97E-03 0 6.4 0.0000003981 0.0000000251 8909.9637368039 436391151962749.9 8909.9637368039 -1.00E-03 0.0000000015 0.0000088539 0.0000045408 0.0000000009 0 0.000013397 0.000986603 2.03E-03 4.01E-03 -1.98E-03 0 6.6 0.0000002512 0.0000000398 4918.761273197 240910508914166.75 4918.761273197 -1.00E-03 0.000000002 0.0000075318 0.0000024372 0.0000000003 0 0.0000099713 0.0009900287 2.02E-03 4.01E-03 -1.99E-03 0 6.8 0.0000001585 0.0000000631 2823.8952160235 138308406492418.66 2823.8952160235 -1.00E-03 0.0000000027 0.0000062795 0.0000012821 0.0000000001 0 0.0000075644 0.0009924356 2.02E-03 4.01E-03 -1.99E-03 0 7 0.0000001 0.0000001 1670.6635801641 81825563585465.06 1670.6635801641 -1.00E-03 0.0000000035 0.0000051557 0.0000006642 0 0 0.0000058234 0.0009941766 2.01E-03 4.01E-03 -1.99E-03 0 7.2 0.0000000631 0.0000001585 1010.114349182 49473261336949.5 1010.114349182 -1.00E-03 0.0000000045 0.0000041863 0.0000003403 0 0 0.0000045311 0.0009954689 2.01E-03 4.00E-03 -2.00E-03 0 7.4 0.0000000398 0.0000002512 620.0437480018 30368429485312.61 620.0437480018 -1.00E-03 0.0000000057 0.000003373 0.000000173 0 0 0.0000035517 0.0009964483 2.01E-03 4.00E-03 -2.00E-03 0 7.6 0.0000000251 0.0000003981 384.5580179877 18834837202867.918 384.5580179877 -1.00E-03 0.0000000073 0.0000027034 0.0000000875 0 0 0.0000027982 0.0009972018 2.01E-03 4.00E-03 -2.00E-03 0 7.8 0.0000000158 0.000000631 240.2092187631 11764938756719.932 240.2092187631 -1.00E-03 0.0000000092 0.0000021589 0.0000000441 0 0 0.0000022121 0.0009977879 2.00E-03 4.00E-03 -2.00E-03 0 8 0.00000001 0.000001 150.8163086549 7386663359450.506 150.8163086549 -1.00E-03 0.0000000116 0.0000017195 0.0000000222 0 0 0.0000017532 0.0009982468 2.00E-03 4.00E-03 -2.00E-03 0 8.2 0.0000000063 0.0000015849 95.0840099456 4657013413197.244 95.0840099456 -1.00E-03 0.0000000146 0.0000013666 0.0000000111 0 0 0.0000013924 0.0009986076 2.00E-03 4.00E-03 -2.00E-03 0 8.4 0.000000004 0.0000025119 60.186361283 2947800497128.978 60.186361283 -1.00E-03 0.0000000184 0.000001084 0.0000000056 0 0 0.0000011079 0.0009988921 2.00E-03 4.00E-03 -2.00E-03 0 8.6 0.0000000025 0.0000039811 38.2737494977 1874567184179.8499 38.2737494977 -1.00E-03 0.0000000231 0.0000008577 0.0000000028 0 0 0.0000008836 0.0009991164 2.00E-03 4.00E-03 -2.00E-03 0 8.8 0.0000000016 0.0000063096 24.4901511987 1199475734027.3254 24.4901511987 -1.00E-03 0.0000000289 0.0000006766 0.0000000014 0 0 0.0000007069 0.0009992931 2.00E-03 4.01E-03 -2.01E-03 0 9 0.000000001 0.00001 15.810138498 774347096759.3179 15.810138498 -1.00E-03 0.0000000359 0.0000005314 0.0000000007 0 0 0.000000568 0.000999432 2.00E-03 4.01E-03 -2.01E-03 0 9.2 0.0000000006 0.0000158489 10.340128786 506437606893.0197 10.340128786 -1.00E-03 0.0000000444 0.0000004146 0.0000000003 0 0 0.0000004594 0.0009995406 2.00E-03 4.02E-03 -2.02E-03 0 9.4 0.0000000004 0.0000251189 6.8914565059 337528943116.5061 6.8914565059 -1.00E-03 0.0000000544 0.0000003205 0.0000000002 0 0 0.000000375 0.000999625 2.00E-03 4.03E-03 -2.02E-03 0 9.6 0.0000000003 0.0000398107 4.7165545556 231006852170.4585 4.7165545556 -1.00E-03 0.0000000658 0.0000002444 0.0000000001 0 0 0.0000003103 0.0009996897 2.00E-03 4.04E-03 -2.04E-03 0 9.8 0.0000000002 0.0000630957 3.3447074454 163816686376.4645 3.3447074454 -1.00E-03 0.0000000781 0.0000001831 0 0 0 0.0000002613 0.0009997387 2.00E-03 4.06E-03 -2.06E-03 0 6.6442732943 0.000000225 10 0.0000000001 0.0001 2.4792989342 121430810487.79854 2.4792989342 -1.00E-03 0.0000000907 0.0000001342 0 0 0 0.000000225 0.000999775 2.00E-03 4.10E-03 -2.10E-03 0 6.6478844092 10.2 0.0000000001 0.0001584893 1.9333301586 94690416250.73538 1.9333301586 -1.00E-03 0.0000001028 0.0000000959 0 0 0 0.0000001987 0.0009998013 2.00E-03 4.16E-03 -2.16E-03 0 10.4 0 0.0002511886 1.5888738549 77819676076.52707 1.5888738549 -1.00E-03 0.0000001133 0.0000000667 0 0 0 0.0000001801 0.0009998199 2.00E-03 4.25E-03 -2.25E-03 0 10.6 0 0.0003981072 1.3715472517 67175479366.60696 1.3715472517 -1.00E-03 0.000000122 0.0000000453 0 0 0 0.0000001673 0.0009998327 2.00E-03 4.40E-03 -2.40E-03 0 10.8 0 0.0006309573 1.2344276678 60459652574.69681 1.2344276678 -1.00E-03 0.0000001286 0.0000000301 0 0 0 0.0000001587 0.0009998413 2.00E-03 4.63E-03 -2.63E-03 0 11 0 0.001 1.1479127443 56222334863.02511 1.1479127443 -1.00E-03 0.0000001334 0.0000000197 0 0 0 0.0000001531 0.0009998469 2.00E-03 5.00E-03 -3.00E-03 0 11.2 0 0.0015848932 1.0933261887 53548800986.51644 1.0933261887 -1.00E-03 0.0000001366 0.0000000128 0 0 0 0.0000001494 0.0009998506 2.00E-03 5.59E-03 -3.58E-03 0 11.4 0 0.0025118864 1.0588846675 51861928231.055176 1.0588846675 -1.00E-03 0.0000001388 0.0000000082 0 0 0 0.000000147 0.000999853 2.00E-03 6.51E-03 -4.51E-03 0 11.6 0 0.0039810717 1.0371536431 50797588683.89122 1.0371536431 -1.00E-03 0.0000001403 0.0000000052 0 0 0 0.0000001455 0.0009998545 2.00E-03 7.98E-03 -5.98E-03 0 11.8 0 0.0063095734 1.023442336 50126037902.57037 1.023442336 -1.00E-03 0.0000001412 0.0000000033 0 0 0 0.0000001445 0.0009998555 2.00E-03 1.03E-02 -8.31E-03 0 12 0 0.01 1.0147911029 49702318830.17396 1.0147911029 -1.00E-03 0.0000001418 0.0000000021 0 0 0 0.0000001439 0.0009998561 2.00E-03 1.40E-02 -1.20E-02 0 12.2 0 0.0158489319 1.0093325506 49434970497.99477 1.0093325506 -1.00E-03 0.0000001422 0.0000000013 0 0 0 0.0000001435 0.0009998565 2.00E-03 1.98E-02 -1.78E-02 0 12.4 0 0.0251188643 1.0058884396 49266285235.06816 1.0058884396 -1.00E-03 0.0000001425 0.0000000008 0 0 0 0.0000001433 0.0009998567 2.00E-03 2.91E-02 -2.71E-02 0 12.6 0 0.0398107171 1.0037153535 49159852081.59003 1.0037153535 -1.00E-03 0.0000001426 0.0000000005 0 0 0 0.0000001431 0.0009998569 2.00E-03 4.38E-02 -4.18E-02 0 12.8 0 0.0630957344 1.0023442293 49092697322.43664 1.0023442293 -1.00E-03 0.0000001427 0.0000000003 0 0 0 0.000000143 0.000999857 2.00E-03 6.71E-02 -6.51E-02 0 Epeciação(ML x pH) L HL H2L H3L H4L M ML pH [E] Especiação ML x pH pL'xpCapMg pK1= 2 pL' [L'] alfaCa alfaMg [Mg+2] [Ca+2] [CaL] [MgL] pp pL' log(L') log(Mg) log(MgL) log(Ca) log(CaL) log(pp) alfaCaL alfaMgL Vl Vl Cca CMg pK2= 2.7 2 0.01 0.0000000419 0.0000041885 0.0000000042 4.19E-11 1.00E-03 1.00E-03 1.00E-10 2 -2 -8.377939025 -3.0000018191 -10.3779372241 -3.0000000182 -10 1.00E+00 1.00E+00 -13.33 -13.3333326626 0 0 pK3= 6.3 2.5 0.0031622777 0.0000001325 0.0000132452 0.0000000132 1.32E-10 1.00E-03 1.00E-03 1.00E-10 2.5 -2.5 -7.8779429582 -3.0000057523 -9.8779372634 -3.0000000575 -10 1.00E+00 1.00E+00 -23.87 -23.8742500384 0 0 pK4= 10.3 3 0.001 0.0000004189 0.0000418837 0.0000000419 4.19E-10 1.00E-03 1.00E-03 1.00E-10 3 -3 -7.3779553961 -3.0000181902 -9.3779373878 -3.0000001819 -10 1.00E+00 1.00E+00 0.00 0 8.0201624259 B1= 19952623149.68889 3.5 0.0003162278 0.0000013245 0.0001324358 0.0000001324 1.32E-09 1.00E-03 1.00E-03 1.00E-10 3.5 -3.5 -6.8779947258 -3.0000575199 -8.8779377811 -3.0000005752 -10 1.00E+00 1.00E+00 33.87 33.8739796808 9.5201448109 7.4008647322 B2= 39810717055349920 4 0.0001 0.0000041885 0.0004186788 0.0000004187 4.19E-09 1.00E-03 1.00E-03 1.00E-10 4 -4 -6.3781190739 -3.0001818679 -8.377939025 -3.0000018191 -10 1.00E+00 1.00E+00 23.33 23.3326626064 8.9008090314 6.8691681306 B3= 19952623149688947000 4.5 0.0000316228 0.0000132452 0.001322781 0.0000013228 1.32E-08 1.00E-03 9.99E-04 1.00E-10 4.5 -4.5 -5.8785120627 -3.0005748568 -7.8779429582 -3.0000057523 -10 1.00E+00 9.99E-01 20.97 20.9776919542 8.368992015 6.3599107726 B4= 1995262314968898900000 1.00E-03 5 0.00001 0.0000418837 0.0041710705 0.0000041711 4.19E-08 1.00E-03 9.96E-04 1.00E-10 5 -5 -5.3797524672 -3.0018152613 -7.3779553961 -3.0000181902 -10 1.00E+00 9.96E-01 20.26 20.2969360315 7.8593541061 5.8583868792 5.4 0.0000039811 0.0001052003 0.010411598 0.0000104116 1.05E-07 1.00E-03 9.90E-04 1.00E-10 5.4 -5.4 -4.9824826092 -3.0045454033 -6.9779828962 -3.0000456903 -10 1.00E+00 9.90E-01 20.01 20.1047075031 7.4566173082 5.4591687165 KfCa= 5.01E+10 6 0.000001 0.0004186788 0.0402015536 0.0000402016 4.19E-07 1.00E-03 9.60E-04 1.00E-10 6 -6 -4.3957571633 -3.0178199574 -6.3781190739 -3.0001818679 -10 1.00E+00 9.60E-01 19.62 19.9699561335 6.8548051811 4.8702944202 KfMg= 5.01E+08 6.99 0.0000001023 0.0040765124 0.2904378604 0.0002904379 4.08E-06 9.96E-04 7.10E-04 1.00E-10 6.99 -6.99 -3.5369467713 -3.1490095654 -5.3897112311 -3.0017740252 -10 9.96E-01 7.10E-01 17.06 19.8220337158 5.864248488 4.0057808297 Kps(Mg(OH)2)= 0 7 0.0000001 0.0041710705 0.29520591 0.0002952059 4.17E-06 9.96E-04 7.05E-04 1.00E-10 7 -7 -3.5298749522 -3.1519377463 -5.3797524672 -3.0018152613 -10 9.96E-01 7.05E-01 17.01 19.4329680112 5.8485865257 3.9830765424 7.5 0.0000000316 0.0130721849 0.5698060706 0.0005698061 1.31E-05 9.87E-04 4.30E-04 1.00E-10 7.5 -7.5 -3.2442729282 -3.3663357223 -4.8836518168 -3.0057146109 -10 9.87E-01 4.30E-01 14.17 18.3923663512 5.336853407 3.6625707863 pH= 9 8 0.00000001 0.0402015536 0.8072676005 0.0008072676 4.02E-05 9.60E-04 1.93E-04 1.00E-10 8 -8 -3.0929824775 -3.7150452716 -4.3957571633 -3.0178199574 -10 9.60E-01 1.93E-01 11.53 16.1997928807 4.8140550214 3.4598649606 [H+]= 0.000000001 8.5 0.0000000032 0.116961382 0.9298015577 0.0009298016 1.17E-04 8.83E-04 7.02E-05 1.00E-10 8.5 -8.5 -3.0316097306 -4.1536725247 -3.9319575089 -3.054020303 -10 8.83E-01 7.02E-02 9.53 13.2746137854 4.298839992 3.3511170624 [OH-]= 0.00001 9 0.000000001 0.29520591 0.9766820476 0.000976682 2.95E-04 7.05E-04 2.33E-05 1.00E-10 9 -9 -3.010246795 -4.6323095891 -3.5298749522 -3.1519377463 -10 7.05E-01 2.33E-02 7.28 10.8692735551 3.8493822841 3.2870030592 alfaL= 0.0476362105 9.5 0.0000000003 0.5698060706 0.9925067422 0.0009925067 5.70E-04 4.30E-04 7.49E-06 1.00E-10 9.5 -9.5 -3.0032665343 -5.1253293284 -3.2442729282 -3.3663357223 -10 4.30E-01 7.49E-03 4.38 8.9128189088 3.5210291924 3.2187322511 Kf'Mg= 2.39E+07 -7.3779372059 10 0.0000000001 0.8072676005 0.9976182204 0.0009976182 8.07E-04 1.93E-04 2.38E-06 1.00E-10 10 -10 -3.0010356276 -5.6230984217 -3.0929824775 -3.7150452716 -10 1.93E-01 2.38E-03 1.95 6.4235000743 3.3084481943 3.1317769765 Kf'Ca= 2.39E+09 -9.3779372059 10.5 0 0.9298015577 0.9992455865 0.0009992456 9.30E-04 7.02E-05 7.54E-07 1.00E-10 10.5 -10.5 -3.0003277613 -6.1223905554 -3.0316097306 -4.1536725247 -10 7.02E-02 7.54E-04 0.71 3.5126755433 3.1623510795 3.059131618 11 0 0.9766820476 0.9997613104 0.0009997613 9.77E-04 2.33E-05 2.39E-07 1.00E-10 11 -11 -3.000103674 -6.6221664681 -3.010246795 -4.6323095891 -10 2.33E-02 2.39E-04 0.24 1.4499570262 3.0690506517 3.0216140919 CaCa= 1.00E-03 11.5 0 0.9925067422 0.9999245074 0.0009999245 9.93E-04 7.49E-06 7.55E-08 1.00E-10 11.5 -11.5 -3.0000327873 -7.1220955814 -3.0032665343 -5.1253293284 -10 7.49E-03 7.55E-05 0.08 0.5077666074 3.0247769522 3.0071924695 CMg= 1.00E-03 12 0 0.9976182204 0.9999761259 0.0009999761 9.98E-04 2.38E-06 2.39E-08 1.00E-10 12 -12 -3.0000103685 -7.6220731626 -3.0010356276 -5.6230984217 -10 2.38E-03 2.39E-05 0.02 0.1662241782 3.0081953098 3.0023128295 Vm= 10 12.5 0 0.9992455865 0.9999924502 0.0009999925 9.99E-04 7.54E-07 7.55E-09 1.00E-10 12.5 -12.5 -3.0000032788 -8.1220660729 -3.0003277613 -6.1223905554 -10 7.54E-04 7.55E-06 0.01 0.053156907 3.0026302222 3.0007353077 CEDTA= 1.00E-03 13 0 0.9997613104 0.9999976125 0.0009999976 1.00E-03 2.39E-07 2.39E-09 1.00E-10 13 -13 -3.0000010369 -8.622063831 -3.000103674 -6.6221664681 -10 2.39E-04 2.39E-06 0.00 0.0168698007 3.0008357028 3.0002329203 pMg 5.4 13.5 0 0.9999245074 0.999999245 0.0009999992 1.00E-03 7.55E-08 7.55E-10 1.00E-10 13.5 -13.5 -3.0000003279 -9.122063122 -3.0000327873 -7.1220955814 -10 7.55E-05 7.55E-07 0.00 0.0053407391 3.0002646707 3.0000003279 -4.9779372059 pL'xpCapMg 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 log(L') log(Mg) log(MgL) log(Ca) log(CaL) log(pp) pL' -p[E] Gráfico de Especiação (pL'xp[E]) Ca+2,Mg+2 pH=12 espe indxL pK1 = 2 pL pIN L IN HL H2L H3L H4L H2IN HIN alfaM ML MIn CTL CTIN [M] pK2 = 2.66 6.2158331308 6.7543741579 0.0000006084 0.000000176 9.00E-05 1.16E-06 0 0 0.0000125747 0.0006287353 0.0033237926 9.91E-03 0.000058514 1.00E-02 0.0007 0.0000332379 4.4783660776 10.7450402391 pK3 = 6.16 pK4 = 10.26 K1 = 0.01 K2 = 0.0021877616 K3 = 0.0000006918 K4= 0.0000000001 CM = 0.01 VM = 25 Kf = 4.90E+08 EDTA = 0.01 pH1 = 8 [H+] = 0.00000001 alfa L = 0.0053879204 Kf´ = 2640081.0024725767 EriocromoT = K1 = 0.0000005 357142857142.8571 K2= 0 714285714285714300 Kfind= 10000000 [Mg+2] p{Mg+2] [M]i = 0.0035714286 2.4471580313 [M]f = 0.0000357143 4.4471580313 b1 = 1.48E+10 b2 = 1.91E+16 b3 = 9120110000000000000 b4 = 912011000000000000000 TitclasspH pK1 = 2 Vt [M]pH(7) pM(pH =7) [M]pH(8) pM(pH =8) [M]pH(10) pM(pH =10) pK2 = 2.66 0 0.001 3.00 0.001 3.0000 1.00E-03 3 pK3 = 6.16 1 0.0009230769 3.03 0.0009230769 3.0348 9.23E-04 3.0347621063 pK4 = 10.26 2 0.0008518519 3.07 0.0008518519 3.0696 8.52E-04 3.0696359281 K1 = 0.01 3 0.0007857143 3.10 0.0007857143 3.1047 7.86E-04 3.1047353505 K2 = 0.0021877616 4 0.0007241379 3.14 0.0007241379 3.1402 7.24E-04 3.1401787032 K3 = 0.0000006918 5 0.0006666667 3.18 0.0006666667 3.1761 6.67E-04 3.1760912591 K4= 0.0000000001 6 0.0006129032 3.21 0.0006129032 3.2126 6.13E-04 3.2126080929 CM = 1.00E-03 7 0.0005625 3.25 0.0005625 3.2499 5.63E-04 3.2498774732 VM = 25.00 8 0.0005151515 3.29 0.0005151515 3.2881 5.15E-04 3.2880650185 Kf = 4.90E+10 9 0.0004705882 3.33 0.0004705882 3.3274 4.71E-04 3.3273589344 EDTA = 1.00E-03 10 0.0004285714 3.37 0.0004285714 3.3680 4.29E-04 3.3679767853 pH1 = 7 11 0.0003888889 3.41 0.0003888889 3.4102 3.89E-04 3.4101744651 [H+] = 0.0000001 12 0.0003513514 3.45 0.0003513514 3.4543 3.51E-04 3.4542583718 alfa L = 0.0004799064 13 0.0003157895 3.50 0.0003157895 3.5006 3.16E-04 3.5006023506 Kf´ = 2.35E+07 14 0.0002820513 3.55 0.0002820513 3.5497 2.82E-04 3.5496719219 15 0.00025 3.60 0.00025 3.6021 2.50E-04 3.6020599913 pH2 = 8 16 0.0002195122 3.66 0.0002195122 3.6585 2.20E-04 3.6585413473 [H+] = 0.00000001 17 0.0001904762 3.72 0.0001904762 3.7202 1.90E-04 3.7201593034 alfa L = 0.0053879204 18 0.0001627907 3.79 0.0001627907 3.7884 1.63E-04 3.7883704156 Kf´ = 264008100.24725765 19 0.0001363636 3.87 0.0001363636 3.8653 1.36E-04 3.8653014261 20 0.0001111111 3.95 0.0001111111 3.9542 1.11E-04 3.9542425094 pH3 = 10 21 0.0000869565 4.06 0.0000869565 4.0607 8.70E-05 4.0606978404 [H+] = 0.0000000001 22 0.0000638298 4.19 0.0000638298 4.1950 6.38E-05 4.1949766032 alfa L = 0.3546144705 23 0.0000416667 4.38 0.0000416667 4.3802 4.17E-05 4.3802112417 Kf´ = 17376109053.496338 24 0.0000204082 4.69 0.0000204082 4.6902 2.04E-05 4.69019608 24.1 0.0000183299 4.74 0.0000183299 4.7368 1.83E-05 4.7368389827 24.2 0.0000162602 4.79 0.0000162602 4.7889 1.63E-05 4.7888751158 24.3 0.0000141988 4.85 0.0000141988 4.8477 1.42E-05 4.8477488793 24.4 0.0000121457 4.92 0.0000121457 4.9156 1.21E-05 4.9155756985 24.5 0.000010101 5.00 0.000010101 4.9956 1.01E-05 4.9956351946 24.6 0.0000080645 5.09 0.0000080645 5.0934 8.06E-06 5.0934216852 24.7 0.0000060362 5.22 0.0000060362 5.2192 6.04E-06 5.219235134 24.8 0.0000040161 5.40 0.0000040161 5.3962 4.02E-06 5.3961993471 24.9 0.000002004 5.70 0.000002004 5.6981 2.00E-06 5.6981005456 25 0.0000046111 5.34 0.0000013762 5.8613 1.70E-07 6.7704912646 25.1 0.0000106526 4.97 0.0000009488 6.0228 0.0000000144 7.8411448034 25.2 0.0000053369 5.27 0.0000004754 6.3230 0.0000000072 8.1413088078 25.3 0.000003565 5.45 0.0000003175 6.4982 0.0000000048 8.3165357989 25.4 0.0000026791 5.57 0.0000002386 6.6223 0.0000000036 8.4406119841 25.5 0.0000021475 5.67 0.0000001913 6.7183 0.0000000029 8.5366611555 25.6 0.0000017932 5.75 0.0000001597 6.7966 0.0000000024 8.6149832628 25.7 0.00000154 5.81 0.0000001372 6.8627 0.0000000021 8.6810726099 25.8 0.0000013502 5.87 0.0000001203 6.9199 0.0000000018 8.7382088039 25.9 0.0000012025 5.92 0.0000001071 6.9702 0.0000000016 8.7885072563 26 0.0000010844 5.96 0.0000000966 7.0151 0.0000000015 8.8334123531 27 0.0000005528 6.26 0.0000000492 7.3077 0.0000000007 9.1260091813 28 0.0000003756 6.43 0.0000000335 7.4755 0.0000000005 9.2938279144 29 0.000000287 6.54 0.0000000256 7.5923 0.0000000004 9.4106487607 30 0.0000002339 6.63 0.0000000208 7.6813 0.0000000003 9.4995898441 31 0.0000001985 6.70 0.0000000177 7.7526 0.0000000003 9.5709457526 32 0.0000001731 6.76 0.0000000154 7.8119 0.0000000002 9.6302057136 33 0.0000001542 6.81 0.0000000137 7.8623 0.0000000002 9.6806445227 34 0.0000001394 6.86 0.0000000124 7.9060 0.0000000002 9.724373027 35 0.0000001276 6.89 0.0000000114 7.9445 0.0000000002 9.7628312789 TitclasspH 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 = 10 Vt(mL) pM Curva de Titulação pM x V(EDTA) ( pH=10) Mg INd pK1 = 2 Vt [M]pH(10) pM(pH =10) [M]i [M]f pK2 = 2.66 0 0.01 2 4.4471580313 6.4471580313 pK3 = 6.16 1 0.0092307692 2.0347621063 4.4471580313 6.4471580313 pK4 = 10.26 2 0.0085185185 2.0696359281 4.4471580313 6.4471580313 K1 = 0.01 3 0.0078571429 2.1047353505 4.4471580313 6.4471580313 K2 = 0.0021877616 4 0.0072413793 2.1401787032 4.4471580313 6.4471580313 K3 = 0.0000006918 5 0.0066666667 2.1760912591 4.4471580313 6.4471580313 K4= 0.0000000001 6 0.0061290323 2.2126080929 4.4471580313 6.4471580313 CM = 0.01 7 0.005625 2.2498774732 4.4471580313 6.4471580313 VM = 25 8 0.0051515152 2.2880650185 4.4471580313 6.4471580313 Kf = 4.90E+08 9 0.0047058824 2.3273589344 4.4471580313 6.4471580313 EDTA = 0.01 10 0.0042857143 2.3679767853 4.4471580313 6.4471580313 pH1 = 10 11 0.0038888889 2.4101744651 4.4471580313 6.4471580313 [H+] = 0.0000000001 12 0.0035135135 2.4542583718 4.4471580313 6.4471580313 alfa L = 0.3546144705 13 0.0031578947 2.5006023506 4.4471580313 6.4471580313 Kf´ = 173761090.53496337 14 0.0028205128 2.5496719219 4.4471580313 6.4471580313 15 0.0025 2.6020599913 4.4471580313 6.4471580313 EriocromoT = 16 0.002195122 2.6585413473 4.4471580313 6.4471580313 K1 = 0.0000005 17 0.0019047619 2.7201593034 4.4471580313 6.4471580313 K2= 0 18 0.001627907 2.7883704156 4.4471580313 6.4471580313 Kfind= 10000000 19 0.0013636364 2.8653014261 4.4471580313 6.4471580313 20 0.0011111111 2.9542425094 4.4471580313 6.4471580313 [Mg+2] p{Mg+2] 21 0.0008695652 3.0606978404 4.4471580313 6.4471580313 [M]i = 0.0000357143 4.4471580313 22 0.0006382979 3.1949766032 4.4471580313 6.4471580313 [M]f = 0.0000003571 6.4471580313 23 0.0004166667 3.3802112417 4.4471580313 6.4471580313 24 0.0002040816 3.69019608 4.4471580313 6.4471580313 24.1 0.0001832994 3.7368389827 4.4471580313 6.4471580313 24.2 0.0001626016 3.7888751158 4.4471580313 6.4471580313 24.3 0.0001419878 3.8477488793 4.4471580313 6.4471580313 24.4 0.0001214575 3.9155756985 4.4471580313 6.4471580313 24.5 0.0001010101 3.9956351946 4.4471580313 6.4471580313 24.6 0.0000806452 4.0934216852 4.4471580313 6.4471580313 24.7 0.0000603622 4.219235134 4.4471580313 6.4471580313 24.8 0.0000401606 4.3961993471 4.4471580313 6.4471580313 24.9 0.0000200401 4.6981005456 4.4471580313 6.4471580313 25 0.0000053642 5.2704912646 4.4471580313 6.4471580313 25.1 0.0000014416 5.8411448034 4.4471580313 6.4471580313 25.2 0.0000007223 6.1413088078 4.4471580313 6.4471580313 25.3 0.0000004825 6.3165357989 4.4471580313 6.4471580313 25.4 0.0000003626 6.4406119841 4.4471580313 6.4471580313 25.5 0.0000002906 6.5366611555 4.4471580313 6.4471580313 25.6 0.0000002427 6.6149832628 4.4471580313 6.4471580313 25.7 0.0000002084 6.6810726099 4.4471580313 6.4471580313 25.8 0.0000001827 6.7382088039 4.4471580313 6.4471580313 25.9 0.0000001627 6.7885072563 4.4471580313 6.4471580313 26 0.0000001468 6.8334123531 4.4471580313 6.4471580313 27 0.0000000748 7.1260091813 4.4471580313 6.4471580313 28 0.0000000508 7.2938279144 4.4471580313 6.4471580313 29 0.0000000388 7.4106487607 4.4471580313 6.4471580313 30 0.0000000317 7.4995898441 4.4471580313 6.4471580313 31 0.0000000269 7.5709457526 4.4471580313 6.4471580313 32 0.0000000234 7.6302057136 4.4471580313 6.4471580313 33 0.0000000209 7.6806445227 4.4471580313 6.4471580313 34 0.0000000189 7.724373027 4.4471580313 6.4471580313 35 0.0000000173 7.7628312789 4.4471580313 6.4471580313 Mg INd 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Curva de Titulação IND i IND f v(mL) pM Titulação Mg x EDTA (IND EROCRT Ca INd pK1 = 2 Vt [M]pH(10) pM(pH =10) [M]i [M]f pK2 = 2.66 0 0.01 2 2.4471580313 4.4471580313 pK3 = 6.16 1 0.0092307692 2.0347621063 2.4471580313 4.4471580313 pK4 = 10.26 2 0.0085185185 2.0696359281 2.4471580313 4.4471580313 K1 = 0.01 3 0.0078571429 2.1047353505 2.4471580313 4.4471580313 K2 = 0.0021877616 4 0.0072413793 2.1401787032 2.4471580313 4.4471580313 K3 = 0.0000006918 5 0.0066666667 2.1760912591 2.4471580313 4.4471580313 K4= 0.0000000001 6 0.0061290323 2.2126080929 2.4471580313 4.4471580313 CM = 0.01 7 0.005625 2.2498774732 2.4471580313 4.4471580313 VM = 25 8 0.0051515152 2.2880650185 2.4471580313 4.4471580313 Kf = 4.90E+10 9 0.0047058824 2.3273589344 2.4471580313 4.4471580313 EDTA = 0.01 10 0.0042857143 2.3679767853 2.4471580313 4.4471580313 pH1 = 10 11 0.0038888889 2.4101744651 2.4471580313 4.4471580313 [H+] = 0.0000000001 12 0.0035135135 2.4542583718 2.4471580313 4.4471580313 alfa L = 0.3546144705 13 0.0031578947 2.5006023506 2.4471580313 4.4471580313 Kf´ = 17376109053.496338 14 0.0028205128 2.5496719219 2.4471580313 4.4471580313 15 0.0025 2.6020599913 2.4471580313 4.4471580313 EriocromoT = 16 0.002195122 2.6585413473 2.4471580313 4.4471580313 K1 = 0.0000005 17 0.0019047619 2.7201593034 2.4471580313 4.4471580313 K2= 0 18 0.001627907 2.7883704156 2.4471580313 4.4471580313 Kfind= 100000 19 0.0013636364 2.8653014261 2.4471580313 4.4471580313 20 0.0011111111 2.9542425094 2.4471580313 4.4471580313 [Ca+2] p{Ca+2] 21 0.0008695652 3.0606978404 2.4471580313 4.4471580313 [M]i = 0.0035714286 2.4471580313 22 0.0006382979 3.1949766032 2.4471580313 4.4471580313 [M]f = 0.0000357143 4.4471580313 23 0.0004166667 3.3802112417 2.4471580313 4.4471580313 24 0.0002040816 3.69019608 2.4471580313 4.4471580313 24.1 0.0001832994 3.7368389827 2.4471580313 4.4471580313 24.2 0.0001626016 3.7888751158 2.4471580313 4.4471580313 24.3 0.0001419878 3.8477488793 2.4471580313 4.4471580313 24.4 0.0001214575 3.9155756985 2.4471580313 4.4471580313 24.5 0.0001010101 3.9956351946 2.4471580313 4.4471580313 24.6 0.0000806452 4.0934216852 2.4471580313 4.4471580313 24.7 0.0000603622 4.219235134 2.4471580313 4.4471580313 24.8 0.0000401606 4.3961993471 2.4471580313 4.4471580313 24.9 0.0000200401 4.6981005456 2.4471580313 4.4471580313 25 0.0000005364 6.2704912646 2.4471580313 4.4471580313 25.1 0.0000000144 7.8411448034 2.4471580313 4.4471580313 25.2 0.0000000072 8.1413088078 2.4471580313 4.4471580313 25.3 0.0000000048 8.3165357989 2.4471580313 4.4471580313 25.4 0.0000000036 8.4406119841 2.4471580313 4.4471580313 25.5 0.0000000029 8.5366611555 2.4471580313 4.4471580313 25.6 0.0000000024 8.6149832628 2.4471580313 4.4471580313 25.7 0.0000000021 8.6810726099 2.4471580313 4.4471580313 25.8 0.0000000018 8.7382088039 2.4471580313 4.4471580313 25.9 0.0000000016 8.7885072563 2.4471580313 4.4471580313 26 0.0000000015 8.8334123531 2.4471580313 4.4471580313 27 0.0000000007 9.1260091813 2.4471580313 4.4471580313 28 0.0000000005 9.2938279144 2.4471580313 4.4471580313 29 0.0000000004 9.4106487607 2.4471580313 4.4471580313 30 0.0000000003 9.4995898441 2.4471580313 4.4471580313 31 0.0000000003 9.5709457526 2.4471580313 4.4471580313 32 0.0000000002 9.6302057136 2.4471580313 4.4471580313 33 0.0000000002 9.6806445227 2.4471580313 4.4471580313 34 0.0000000002 9.724373027 2.4471580313 4.4471580313 35 0.0000000002 9.7628312789 2.4471580313 4.4471580313 Ca INd 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Curva de Titulação IND i IND f V(mL) pM Titulação Ca x EDTA (IND EROCRT) Zn IND pK1 = 2 Vt [M]pH(10) pM(pH =10) p[M]i p[M]f pK2 = 2.66 0 0.0000000838 7.0766732056 10.3469785338 12.3469785338 pK3 = 6.16 1 0.0000000774 7.1114353119 10.3469785338 12.3469785338 pK4 = 10.26 2 0.0000000714 7.1463091338 10.3469785338 12.3469785338 K1 = 0.01 3 0.0000000659 7.1814085562 10.3469785338 12.3469785338 K2 = 0.0021877616 3.6 0.0000000627 7.2026254654 10.3469785338 12.3469785338 K3 = 0.0000006918 5 0.0000000559 7.2527644647 10.3469785338 12.3469785338 K4= 0.0000000001 6 0.0000000514 7.2892812985 10.3469785338 12.3469785338 CM = 0.01 7 0.0000000471 7.3265506789 10.3469785338 12.3469785338 VM = 25 8 0.0000000432 7.3647382241 10.3469785338 12.3469785338 Kf = 3.20E+16 9 0.0000000394 7.40403214 10.3469785338 12.3469785338 EDTA = 0.01 10 0.0000000359 7.4446499909 10.3469785338 12.3469785338 pH1 = 10 11 0.0000000326 7.4868476707 10.3469785338 12.3469785338 [H+] = 0.0000000001 12 0.0000000294 7.5309315774 10.3469785338 12.3469785338 alfa L = 0.3546144705 13 0.0000000265 7.5772755562 10.3469785338 12.3469785338 Kf´ = 11347663055344548 14 0.0000000236 7.6263451275 10.3469785338 12.3469785338 15 0.000000021 7.678733197 10.3469785338 12.3469785338 EriocromoT = 16 0.0000000184 7.7352145529 10.3469785338 12.3469785338 K1 = 0.0000005 17 0.000000016 7.796832509 10.3469785338 12.3469785338 K2= 0 18 0.0000000136 7.8650436212 10.3469785338 12.3469785338 Kfind= 7940000000000 19 0.0000000114 7.9419746317 10.3469785338 12.3469785338 20 0.0000000093 8.0309157151 10.3469785338 12.3469785338 [Zn+2] p{Zn+2] 21 0.0000000073 8.137371046 10.3469785338 12.3469785338 [M]i = 0 10.3469785338 22 0.0000000053 8.2716498089 10.3469785338 12.3469785338 [M]f = 0 12.3469785338 23 0.0000000035 8.4568844474 10.3469785338 12.3469785338 24 0.0000000017 8.7668692857 10.3469785338 12.3469785338 B1 = 1.80E+02 24.1 0.0000000015 8.8135121883 10.3469785338 12.3469785338 B2= 3.90E+04 24.2 0.0000000014 8.8655483214 10.3469785338 12.3469785338 B3 = 9.90E+06 24.3 0.0000000012 8.9244220849 10.3469785338 12.3469785338 B4 = 1.09E+09 24.4 0.000000001 8.9922489042 10.3469785338 12.3469785338 24.5 0.0000000008 9.0723084002 10.3469785338 12.3469785338 NH3 = 0.1 24.6 0.0000000007 9.1700948908 10.3469785338 12.3469785338 alfa(M-NH3) = 0.0000083816 24.7 0.0000000005 9.2959083397 10.3469785338 12.3469785338 Kf'' = 95111542761.60678 24.8 0.0000000003 9.4728725527 10.3469785338 12.3469785338 24.9 0.0000000002 9.7747737513 10.3469785338 12.3469785338 25 0 11.7163048166 10.3469785338 12.3469785338 25.1 0 13.6560987017 10.3469785338 12.3469785338 25.2 0 13.956262706 10.3469785338 12.3469785338 25.3 0 14.1314896972 10.3469785338 12.3469785338 25.4 0 14.2555658824 10.3469785338 12.3469785338 25.5 0 14.3516150537 10.3469785338 12.3469785338 25.6 0 14.4299371611 10.3469785338 12.3469785338 25.7 0 14.4960265082 10.3469785338 12.3469785338 25.8 0 14.5531627022 10.3469785338 12.3469785338 25.9 0 14.6034611546 10.3469785338 12.3469785338 26 0 14.6483662514 10.3469785338 12.3469785338 27 0 14.9409630796 10.3469785338 12.3469785338 28 0 15.1087818126 10.3469785338 12.3469785338 29 0 15.225602659 10.3469785338 12.3469785338 30 0 15.3145437424 10.3469785338 12.3469785338 31 0 15.3858996509 10.3469785338 12.3469785338 32 0 15.4451596119 10.3469785338 12.3469785338 33 0 15.495598421 10.3469785338 12.3469785338 34 0 15.5393269253 10.3469785338 12.3469785338 35 0 15.5777851771 10.3469785338 12.3469785338 Zn IND 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Curva de Titulação IND i IND f V(mL) pM Titulação Zn x EDTA (IND EROCRT) Tit Gen pK1 = 2 pL' [L]' Alfa M Vt p[M] p[M]i p[M]f pK2 = 2.66 18 0 0.0000083816 0.0000023778 7.0766732883 10.3469785338 12.3469785338 pK3 = 6.16
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