epme41327I funda 2

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  • 2.303 298.15 1000 96500K log K Reaccion2.23872E-008 -7.65 1 CuO(s) + 2H+ = Cu2+ + H2O1.58489E-027 -26.8 2 Cu+2 + 3H2O = Cu(OH)3- + 3H+1.25893E-040 -39.9 3 Cu+2 + 4H2O = Cu(OH)4-2 + 4H+

    0.00000001 -8 4 Cu+2 + H2O =CuOH+ + H+1E-014 -14 5 H2O = H+ + OH-1E-011 -11 6 2Cu+2 + 2H2O =Cu2(OH)2+2 + 2H+

    6.30957E-016 -15.2 7 Cu+2 + H2O = Cu(OH)2 + H+

    f pH2.81838E-008 44668359.215 1.0008933772 44708264.9 0 1 44668359.222.81838E-008 4466835.9215 1.0008933988 4470826.59 0.5 0.316227766 4466835.9222.81838E-008 446683.59215 1.0008934672 447082.689 1 0.1 446683.59222.81838E-008 44668.359215 1.0008936834 44708.2786 1.5 0.0316227766 44668.359222.81838E-008 4466.8359215 1.0008943672 4470.83091 2 0.01 4466.8359222.81838E-008 446.68359215 1.0008965295 447.084057 2.5 0.0031622777 446.68359222.81838E-008 44.668359215 1.0009033678 44.7087112 3 0.001 44.668359222.81838E-008 4.4668359215 1.0009249963 4.47096773 3.5 0.0003162278 4.4668359222.81838E-008 0.4466835922 1.0009934303 0.44712734 4 0.0001 0.4466835922.81838E-008 0.0446683592 1.0012102259 0.04472242 4.5 3.16228E-005 0.0446683592.81838E-008 0.0044668359 1.0018996768 0.00447532 5 0.00001 0.0044668362.81838E-008 0.0004466836 1.0041187406 0.00044852 5.5 3.16228E-006 0.0004466842.81838E-008 4.46684E-005 1.0115243261 4.518E-005 6 0.000001 4.4668E-0052.81838E-008 4.46684E-006 1.0388257673 4.640E-006 6.5 3.16228E-007 4.4668E-0062.81838E-008 4.46684E-007 1.1639906865 5.199E-007 7 0.0000001 4.4668E-0072.81838E-008 4.46684E-008 1.9481285965 8.702E-008 7.5 3.16228E-008 4.4668E-0082.81838E-008 4.46684E-009 8.3120517178 3.713E-008 8 0.00000001 4.4668E-0092.81838E-008 4.46684E-010 67.3090254577 3.007E-008 8.5 3.16228E-009 4.4668E-0102.81838E-008 4.46684E-011 643.543256932 2.875E-008 9 0.000000001 4.4668E-0112.81838E-008 4.46684E-012 6392.32842739 2.855E-008 9.5 3.16228E-010 4.4668E-0122.81838E-008 4.46684E-013 64782.8874593 2.894E-008 10 1E-010 4.4668E-0132.81838E-008 4.46684E-014 681519.189043 3.044E-008 10.5 3.16228E-011 4.4668E-0142.81838E-008 4.46684E-015 7908056.89227 3.532E-008 11 1E-011 4.4668E-0152.81838E-008 4.46684E-016 114476546.501 5.113E-008 11.5 3.16228E-012 4.4668E-0162.81838E-008 4.46684E-017 2341753079.12 1.046E-007 12 1E-012 4.4668E-0172.81838E-008 4.46684E-018 69017582549 3.083E-007 12.5 3.16228E-013 4.4668E-0182.81838E-008 4.46684E-019 906914438704 1.298E-006 13 1E-013 4.4668E-0192.81838E-008 4.46684E-020 1.766422E+014 7.890E-006 13.5 3.16228E-014 4.4668E-0202.81838E-008 4.46684E-021 1.418046E+016 6.334E-005 14 1E-014 4.4668E-021

    Real 6.22655778 5.93529E-007 1.5736E-00513.7234422 1.89042E-014 1.5963E-020

    Aproximado 6.22655778 6.226557775 Aproximadosimple 13.7234422 13.723442225 StresReal 6.23031465 6.230314651

    13.6718586 13.67185856

    [Cu(OH)2] [Cu+2] [Cu+2] [H+] [Cu+2]

    0 2 4 6 8 10 12 14

    -10

    -8

    -6

    -4

    -2

    0

    2

    4

    6

    8

    10

    1; 4.803 2; 4.803

    f(x) = - 0.009469333x^ 3 + 0.0420091174x^ 2 + 2.1075269237x - 7.8619626102R = 0.9962756214

    Solubilidad del CuO

    p[Cu+2] p[CuOH+] p[Cu(OH)2] p2*[Cu2(OH)2+2]p[Cu(OH)3-] p[Cu(OH)4-2] pS[Cu+2] Polynomial (pS[Cu+2])LMP Clase I= Column H Column AB

    pH

    PCu

  • LMP Clase I= 0.001 g/L63.55

    0 1.57356E-005 4.80311555514 1.57356E-005 4.803115555

    pk k pH1 CuO(s)+2H+=Cu2++H2O -7.65 44668359.2 0.003 Cu+2+2OH-=Cu(OH)2 -12.8 6.310E+012 0.504 Cu+2+3OH-=Cu(OH)3 -15.2 1.585E+015 1.00

    1.502.00

    2 Cu+2 + OH- = CuOH+ -6 1000000 2.505 Cu+2 + 4OH- = Cu(OH)42- -16.1 1.259E+016 3.00

    3.504.00

    pCu 63.55 4.50LMP 0.001 -4.8031155549 0 14 5.00

    [Cu2+] 0.2 0.0031471282 5.506.006.50

    K log K Reaccion 7.0044668359.215 7.65 1 CuO(s) + 2H+ = Cu2+ + H2O 7.501.58489E-027 -26.8 2 Cu+2 + 3H2O = Cu(OH)3- + 3H+ 8.001.25893E-040 -39.9 3 Cu+2 + 4H2O = Cu(OH)4-2 + 4H+ 8.50

    0.00000001 -8 4 Cu+2 + H2O =CuOH+ + H+ 9.00

    0 2 4 6 8 10 12 14

    -10

    -8

    -6

    -4

    -2

    0

    2

    4

    6

    8

    10

    1; 4.803 2; 4.803

    f(x) = - 0.009469333x^ 3 + 0.0420091174x^ 2 + 2.1075269237x - 7.8619626102R = 0.9962756214

    Solubilidad del CuO

    p[Cu+2] p[CuOH+] p[Cu(OH)2] p2*[Cu2(OH)2+2]p[Cu(OH)3-] p[Cu(OH)4-2] pS[Cu+2] Polynomial (pS[Cu+2])LMP Clase I= Column H Column AB

    pH

    PCu

  • 1E-014 -14 5 H2O = H+ + OH- 9.501E-011 -11 6 2Cu+2 + 2H2O =Cu2(OH)2+2 + 2H+ 10.00

    6.30957E-016 -15.2 7 Cu+2 + 2H2O = Cu(OH)2 + 2H+ 10.5011.0011.5012.0012.5013.0013.5014.00

  • -4.3

    0.446683592 2.81838E-008 19952.62314969 7.07946E-020 5.62341E-033 44688312.2849 -7.650.141253754 2.81838E-008 1995.262314969 2.23872E-019 5.62341E-032 4468831.32508 -6.650.044668359 2.81838E-008 199.5262314969 7.07946E-019 5.62341E-031 446883.163051 -5.650.014125375 2.81838E-008 19.9526231497 2.23872E-018 5.62341E-030 44688.3259636 -4.650.004466836 2.81838E-008 1.995262315 7.07946E-018 5.62341E-029 4468.83565069 -3.650.001412538 2.81838E-008 0.1995262315 2.23872E-017 5.62341E-028 446.884530948 -2.650.000446684 2.81838E-008 0.0199526231 7.07946E-017 5.62341E-027 44.68875855 -1.650.000141254 2.81838E-008 0.0019952623 2.23872E-016 5.62341E-026 4.4689724658 -0.654.4668E-005 2.81838E-008 0.0001995262 7.07946E-016 5.62341E-025 0.4469278149 0.351.4125E-005 2.81838E-008 1.9952623E-005 2.23872E-015 5.62341E-024 0.0447024654 1.354.4668E-006 2.81838E-008 1.9952623E-006 7.07946E-015 5.62341E-023 0.0044733262 2.351.4125E-006 2.81838E-008 1.9952623E-007 2.23872E-014 5.62341E-022 0.0004483238 3.354.4668E-007 2.81838E-008 0.00000002 7.07946E-014 5.62341E-021 4.516318E-005 4.351.4125E-007 2.81838E-008 0.000000002 2.23872E-013 5.62341E-020 4.638269E-006 5.354.4668E-008 2.81838E-008 1.9952623E-010 7.07946E-013 5.62341E-019 5.197360E-007 6.351.4125E-008 2.81838E-008 1.9952623E-011 2.23872E-012 5.62341E-018 0.000000087 7.354.4668E-009 2.81838E-008 1.9952623E-012 7.07946E-012 5.62341E-017 3.712658E-008 8.351.4125E-009 2.81838E-008 1.9952623E-013 2.23872E-011 5.62341E-016 3.006564E-008 9.354.4668E-010 2.81838E-008 1.9952623E-014 7.07946E-011 5.62341E-015 2.874600E-008 10.351.4125E-010 2.81838E-008 1.9952623E-015 2.23872E-010 5.62341E-014 2.855348E-008 11.354.4668E-011 2.81838E-008 1.9952623E-016 7.07946E-010 5.62341E-013 2.893745E-008 12.351.4125E-011 2.81838E-008 1.9952623E-017 2.23872E-009 5.62341E-012 3.044234E-008 13.354.4668E-012 2.81838E-008 1.9952623E-018 7.07946E-009 5.62341E-011 3.532399E-008 14.351.4125E-012 2.81838E-008 1.9952623E-019 2.23872E-008 5.62341E-010 5.113480E-008 15.354.4668E-013 2.81838E-008 1.9952623E-020 7.07946E-008 5.62341E-009 1.046023E-007 16.351.4125E-013 2.81838E-008 1.9952623E-021 2.23872E-007 5.62341E-008 3.082902E-007 17.354.4668E-014 2.81838E-008 1.9952623E-022 7.07946E-007 5.62341E-007 1.298471E-006 18.351.4125E-014 2.81838E-008 1.9952623E-023 2.23872E-006 5.62341E-006 7.890318E-006 19.354.4668E-015 2.81838E-008 1.9952623E-024 7.07946E-006 5.62341E-005 6.334177E-005 20.352.6512E-007 0.000000007 1.19277E-013 1.59630E-020 1.600779E-005 4.803115558.4442E-015 7.1304272E-024 3.74492E-006 1.57356E-005 1.948056E-005 19.79688445

    4.80311555

    4.8031198814.803162219

    [CuOH+] [Cu(OH)2] 2*[Cu2(OH)2+2] [Cu(OH)3-] [Cu(OH)4-2] [Cu+2] p[Cu+2]

    0 2 4 6 8 10 12 14

    -10

    -8

    -6

    -4

    -2

    0

    2

    4

    6

    8

    10

    1; 4.803 2; 4.803

    f(x) = - 0.009469333x^ 3 + 0.0420091174x^ 2 + 2.1075269237x - 7.8619626102R = 0.9962756214

    Solubilidad del CuO

    p[Cu+2] p[CuOH+] p[Cu(OH)2] p2*[Cu2(OH)2+2]p[Cu(OH)3-] p[Cu(OH)4-2] pS[Cu+2] Polynomial (pS[Cu+2])LMP Clase I= Column H Column AB

    pH

    PCu

    4 6 8 10 12 140%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Diagrama de Predominancia Cu2+

    pH

    %[Cu]

    %[Cu2+]

    %[CuOH+]

    %[Cu(OH)2]

    %2[Cu2(OH)2+2]

    %[Cu(OH)3-]

    %[Cu(OH)4-2]

  • 014

    1 7 2 1+7+2[Cu2+] [Cu(OH)2] [Cu(OH)3-] [Cu] LOG[Cu]

    1.00E+00 44668359.215 2.82E-08 7.08E-20 4.47E+07 7.653.16E-01 4466835.9215 2.82E-08 2.24E-19 4.47E+06 6.651.00E-01 446683.59215 2.82E-08 7.08E-19 4.47E+05 5.653.16E-02 44668.359215 2.82E-08 2.24E-18 4.47E+04 4.651.00E-02 4466.8359215 2.82E-08 7.08E-18 4.47E+03 3.653.16E-03 446.68359215 2.82E-08 2.24E-17 4.47E+02 2.651.00E-03 44.668359215 2.82E-08 7.08E-17 4.47E+01 1.653.16E-04 4.4668359215 2.82E-08 2.24E-16 4.47E+00 0.651.00E-04 0.4466835922 2.82E-08 7.08E-16 4.47E-01 -0.353.16E-05 0.0446683592 2.82E-08 2.24E-15 4.47E-02 -1.351.00E-05 0.0044668359 2.82E-08 7.08E-15 4.47E-03 -2.353.16E-06 0.0004466836 2.82E-08 2.24E-14 4.47E-04 -3.351.00E-06 4.46684E-005 2.82E-08 7.08E-14 4.47E-05 -4.353.16E-07 4.46684E-006 2.82E-08 2.24E-13 4.50E-06 -5.351.00E-07 4.46684E-007 2.82E-08 7.08E-13 4.75E-07 -6.323.16E-08 4.46684E-008 2.82E-08 2.24E-12 7.29E-08 -7.141.00E-08 4.46684E-009 2.82E-08 7.08E-12 3.27E-08 -7.493.16E-09 4.46684E-010 2.82E-08 2.24E-11 2.87E-08 -7.541.00E-09 4.46684E-011 2.82E-08 7.08E-11 2.83E-08 -7.55

    [H+]

    0 2 4 6 8 10 12 14

    -10

    -8

    -6

    -4

    -2

    0

    2

    4

    6

    8

    10

    1; 4.803 2; 4.803

    f(x) = - 0.009469333x^ 3 + 0.0420091174x^ 2 + 2.1075269237x - 7.8619626102R = 0.9962756214

    Solubilidad del CuO

    p[Cu+2] p[CuOH+] p[Cu(OH)2] p2*[Cu2(OH)2+2]p[Cu(OH)3-] p[Cu(OH)4-2] pS[Cu+2] Polynomial (pS[Cu+2])LMP Clase I= Column H Column AB

    pH

    PCu

    4 6 8 10 12 140%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Diagrama de Predominancia Cu2+

    pH

    %[Cu]

    %[Cu2+]

    %[CuOH+]

    %[Cu(OH)2]

    %2[Cu2(OH)2+2]

    %[Cu(OH)3-]

    %[Cu(OH)4-2]

  • 3.16E-10 4.46684E-012 2.82E-08 2.24E-10 2.84E-08 -7.551.00E-10 4.46684E-013 2.82E-08 7.08E-10 2.89E-08 -7.543.16E-11 4.46684E-014 2.82E-08 2.24E-09 3.04E-08 -7.521.00E-11 4.46684E-015 2.82E-08 7.08E-09 3.53E-08 -7.453.16E-12 4.46684E-016 2.82E-08 2.24E-08 5.06E-08 -7.301.00E-12 4.46684E-017 2.82E-08 7.08E-08 9.90E-08 -7.003.16E-13 4.46684E-018 2.82E-08 2.24E-07 2.52E-07 -6.601.00E-13 4.46684E-019 2.82E-08 7.08E-07 7.36E-07 -6.133.16E-14 4.46684E-020 2.82E-08 2.24E-06 2.27E-06 -5.641.00E-14 4.46684E-021 2.82E-08 7.08E-06 7.11E-06 -5.15

  • 0.35 7.55 -4.3 19.15 32.25 -7.65019395 0.99955351 0.000000010.85 7.55 -3.3 18.65 31.25 -6.65019396 0.99955348 3.1609E-0081.35 7.55 -2.3 18.15 30.25 -5.65019399 0.99955342 0.00000011.85 7.55 -1.3 17.65 29.25 -4.65019409 0.9995532 3.1609E-0072.35 7.55 -0.3 17.15 28.25 -3.65019438 0.99955252 9.9955E-0072.85 7.55 0.7 16.65 27.25 -2.65019532 0.99955036 3.1609E-0063.35 7.55 1.7 16.15 26.25 -1.65019829 0.99954352 9.9954E-0063.85 7.55 2.7 15.65 25.25 -0.65020768 0.99952192 3.1608E-0054.35 7.55 3.7 15.15 24.25 0.34976262 0.99945355 9.9945E-0054.85 7.55 4.7 14.65 23.25 1.34966852 0.99923704 0.0003159865.35 7.55 5.7 14.15 22.25 2.34936943 0.99854911 0.0009985495.85 7.55 6.7 13.65 21.25 3.34840817 0.99634138 0.0031507086.35 7.55 7.7 13.15 20.25 4.34521549 0.98904373 0.0098904376.85 7.55 8.7 12.65 19.25 5.33364407 0.96303943 0.0304539817.35 7.55 9.7 12.15 18.25 6.28421719 0.85944322 0.0859443227.85 7.55 10.7 11.65 17.25 7.06048197 0.51343086 0.1623610948.35 7.55 11.7 11.15 16.25 7.4303151 0.12031371 0.1203137058.85 7.55 12.7 10.65 15.25 7.52192958 0.01485695 0.0469817929.35 7.55 13.7 10.15 14.25 7.54142256 0.0015539 0.0155389829.85 7.55 14.7 9.65 13.25 7.54434095 0.00015644 0.004946989

    10.35 7.55 15.7 9.15 12.25 7.5385397 1.544E-005 0.00154361810.85 7.55 16.7 8.65 11.25 7.51652191 1.467E-006 0.00046400411.35 7.55 17.7 8.15 10.25 7.45193021 1.265E-007 0.00012645311.85 7.55 18.7 7.65 9.25 7.29128348 8.735E-009 2.7624E-00512.35 7.55 19.7 7.15 8.25 6.9804589 4.270E-010 4.2703E-00612.85 7.55 20.7 6.65 7.25 6.51104026 1.449E-011 4.5818E-00713.35 7.55 21.7 6.15 6.25 5.88656775 3.440E-013 3.4401E-00813.85 7.55 22.7 5.65 5.25 5.10290548 5.661E-015 1.7902E-00914.35 7.55 23.7 5.15 4.25 4.19830978 7.052E-017 7.0520E-011

    6.57655778 8.15311555 12.9234422 19.79688445 4.7956686214.0734422 23.1468845 5.42655778 4.80311555 4.71039859

    4.80311555

    p[CuOH+] p[Cu(OH)2] p2*[Cu2(OH)2+2]p[Cu(OH)3-] p[Cu(OH)4-2] p[Cu+2] %[Cu+2] %[CuOH+]

    4 6 8 10 12 140%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Diagrama de Predominancia Cu2+

    pH

    %[Cu]

    %[Cu2+]

    %[CuOH+]

    %[Cu(OH)2]

    %2[Cu2(OH)2+2]

    %[Cu(OH)3-]

    %[Cu(OH)4-2]

    0 2 4 6 8 10 12 14 16

    1E-021

    1E-018

    1E-015

    1E-012

    0.000000001

    0.000001

    0.001

    1

    1000

    1000000

    1000000000

    Diagrama de SolubilidadCu+2Column ALMP 1mg/L

  • 4 6 8 10 12 140%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Diagrama de Predominancia Cu2+

    pH

    %[Cu]

    %[Cu2+]

    %[CuOH+]

    %[Cu(OH)2]

    %2[Cu2(OH)2+2]

    %[Cu(OH)3-]

    %[Cu(OH)4-2]

    0 2 4 6 8 10 12 14 16

    1E-021

    1E-018

    1E-015

    1E-012

    0.000000001

    0.000001

    0.001

    1

    1000

    1000000

    1000000000

    Diagrama de SolubilidadCu+2Column ALMP 1mg/L

    0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00

    -10.00

    -5.00

    0.00

    5.00

    10.00

    15.00

    Chart Title

  • 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00

    -10.00

    -5.00

    0.00

    5.00

    10.00

    15.00

    Chart Title

  • a-0.00979132y = -0.0094693x3 + 0.0420091x2 + 2.1075269x - 7.8619626

    aproxim. R2 = 0.9962756

    6.3068E-016 0.0004464842 1.5842E-027 1.2584E-040 1 -7.65 -7.960155216.3068E-015 0.0004464841 5.0096E-026 1.2584E-038 1 -6.65 -6.872488666.3068E-014 0.0004464841 1.5842E-024 1.2584E-036 1 -5.65 -5.770707336.3068E-013 0.000446484 5.0096E-023 1.2584E-034 1 -4.65 -4.66215476.3068E-012 0.0004464837 1.5842E-021 1.2584E-032 1 -3.65 -3.554174266.3067E-011 0.0004464827 5.0096E-020 1.2584E-030 1 -2.65 -2.45410956.3067E-010 0.0004464797 1.5842E-018 1.2584E-028 1 -1.65 -1.369303926.3066E-009 0.00044647 5.0095E-017 1.2583E-026 1 -0.65 -0.3071016.3061E-008 0.0004464395 1.5840E-015 1.2582E-024 1 0.34999997 0.725155776.3048E-007 0.0004463428 5.0080E-014 1.2580E-022 1 1.34999973 1.720122896.3004E-006 0.0004460355 1.5826E-012 1.2571E-020 1 2.34999726 2.670456876.2865E-005 0.0004450493 4.9935E-011 1.2543E-018 1 3.3499726 3.568814230.000624044 0.0004417896 1.5675E-009 1.2451E-016 1 4.34972607 4.407851470.006076368 0.0004301739 4.8266E-008 1.2124E-014 1 5.3472684 5.180225110.054227201 0.0003838992 1.3621E-006 1.0820E-012 1 6.32342762 5.878591640.323952972 0.0002293411 2.5732E-005 6.4637E-011 1 7.1375574 6.495607590.759128161 5.37421581E-005 0.000190684 1.5147E-009 1 7.48610797 7.023929460.937409994 6.63635454E-006 0.000744611 1.8704E-008 1 7.54317086 7.456213770.980443468 6.94100820E-007 0.002462763 1.9562E-007 1 7.54931215 7.785117010.987054085 6.98780778E-008 0.007840449 1.9694E-006 1 7.54993031 8.00329570.973956817 6.89508623E-009 0.024464689 0.000019433 1 7.54998445 8.103406350.925810095 6.55423354E-010 0.07353971 0.000184723 1 7.54991267 8.078105470.797866471 5.64846205E-011 0.200414996 0.001591953 1 7.54913426 7.920049570.551167347 3.90196600E-012 0.437807786 0.010997234 1 7.54141999 7.621895160.269438033 1.90747520E-013 0.67679774 0.053759955 1 7.47099025 7.176298740.091419798 6.47202605E-015 0.726173266 0.182406477 1 7.07356514 6.575916830.021705398 1.53662449E-016 0.545214944 0.433079624 1 6.2287616 5.813405940.003571951 2.52874758E-018 0.283730145 0.712697902 1 5.24782881 4.881422570.000444949 3.14999436E-020 0.111766018 0.887789034 1 4.24978239 3.77262324

    4.80311555 4.766526374.80311555 4.40820768

    %[Cu(OH)2] %2*[Cu2(OH)2+2] %[Cu(OH)3-] %[Cu(OH)4-2] [Cu+2] [Cu+2]

    0 2 4 6 8 10 12 14 16

    1E-021

    1E-018

    1E-015

    1E-012

    0.000000001

    0.000001

    0.001

    1

    1000

    1000000

    1000000000

    Diagrama de SolubilidadCu+2Column ALMP 1mg/L

  • 0 2 4 6 8 10 12 14 16

    1E-021

    1E-018

    1E-015

    1E-012

    0.000000001

    0.000001

    0.001

    1

    1000

    1000000

    1000000000

    Diagrama de SolubilidadCu+2Column ALMP 1mg/L

  • b c d0.04291656 2.15632264 -7.96015521

    y = -0.0094693x3 + 0.0420091x2 + 2.1075269x - 7.8619626R2 = 0.9962756

    0.09607598 0.309961260.04941493 0.22229470.01452346 0.120513340.00014306 0.011960610.00921986 0.096020120.03844965 0.196085820.07890165 0.280894370.11772219 0.343106680.14092002 0.375393150.13723643 0.370454360.10309714 0.321087440.04857883 0.220406060.00392327 0.062635980.02353738 0.153418960.16453208 0.405625540.31908306 0.564874380.16514929 0.406385640.00431857 0.065715810.05938699 0.243694450.21063946 0.458954750.31907433 0.56486665

    0.3153761 0.561583560.21913573 0.468119360.10930408 0.330611680.03835324 0.195839840.00420897 0.064876570.00535265 0.073161810.04905468 0.221482910.18120903 0.425686543.02592212 0.56487438

    1.70926587

  • Reaccin K3.06E+114.42E+153.74E+222.11E+072.38E-081.26E+831.00E+00

    Cu2+/CuCu2O/CuCuO/Cu2OCu2+/Cu2OCu2+/CuOO2/2H2O2H+/H2

    Cu2+

    0 2 4 6 8 10 12 14

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    25

    10; 4.243

    13; 5.974

    Cu-H2O

    pH

    pe Cu2O

    Cu2+

    CuO

    Cu

    T=298.15 K[Cu t]=10-3 M

  • pK pe pH-11.4852954 4.24264772 0-15.6458151 4.24264772 3.58025984-22.5726393

    -7.3248995 4.24270959 3.580259847.62397082 5.97433424 5.31198541

    -83.09933530 5.97433424 5.31198541

    -2.71368035 14

    4.24270959 3.58025984-6.17709244 14

    5.97433424 5.3119854115.4628484 5.31198541

    20.7748338 06.77483382 14

    0 0-14 14

    0 2 4 6 8 10 12 14

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    25

    10; 4.243

    13; 5.974

    Cu-H2O

    pH

    pe Cu2O

    Cu2+

    CuO

    Cu

    T=298.15 K[Cu t]=10-3 M

  • Escuela de MetalurgiaCiclo 2007-I

    Fundamentos Metalrgicos IIExamen Parcial 22/V/07

    Sin copias, libros, apuntes OSC ME-413R

    Datos:

    Reacciones:Cu

    pK14

    9.49

    8.314 28.81

    298.15 41.58

    2.303 17.38

    96500 11.97

    P.Atm.(g/mol) 65.38

    L.M.P.(mg/L) 1

    Reaccin pK

    -11.485

    -15.646

    -22.573

    -7.325

    7.624

    -83.099

    H2O // H+ + OH-

    MeOH + + H + //Me+2 + H2O

    Me(OH)3 - + H+ // Me+ 2 + H2O

    Me(OH)4-2 + H+ // Me+ 2 + H2O

    Me(OH)2 (ac) + H+ // Me+2 + H2O

    Me(OH)2 (s) + H+ // Me+2 + H2O

    Cu2+/Cu

    Cu2O/Cu

    CuO/Cu2O

    Cu2+/Cu2O

    Cu2+/CuO

    O2/2H2O

    2.- Diagrama de Pourbaix del CobreCon ayuda del diagrama de Pourbaix Eth - pH adjunto se pide contestar las siguienets preguntas. Considerar una concentracin total de las especies disueltas igual a [Cu] =10 - 3 M, considere soluciones ideales y una T = 25C. Considerar solamente la zona de estabilidad del aguaSe pide:a) Seale en el diagrama las zonas inmunidad, corrosin y pasivacin.b) Especifique, en base al diagrama en que ambiente se dar la contaminacin por cobre en medio anxico o no anxico, cido o bsico?, en los efluentes metalrgicos. Porqu limitamos el anlisis a la zona de estabilidad el agua?.c) Puede el CuO considerarse pelcula pasivante del Cu2O?.d) Existen equilibrios no redox en el sistema planteado?. Sealarlose) Escriba todas las ecuaciones de equilibrio del diagrama presentado. En funcin de los datos adjuntos.f) Con ayuda de los datos adjuntos verifique las coordenadas de los puntos invariantes a y b.

    1.- Eliminacin de metales pesados de efluentes metalrgicos Un efluente cido con pH=3.5 y 200 mg/L de cobre es sometido a un proceso de neutralizacin con lechada de cal. Se desea determinar el rango ptimo de pH en el cual se eliminar el cobre por debajo de 1 mg/L (dentro del lmite mximo permisible para la Clase I de la ley general de aguas peruana). Considere que el sistema est a 25C y que las soluciones son ideales y que P= 1 atm. Se sugiere trazar un diagrama de solubilidad simplificado donde se considere solamente a las tres especies ms importantes presentes (ver diagrama de predomiancia adjunto).

    ab

    4 6 8 10 12 140%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Diagrama de Predominancia Cu2+

    pH

    %[Cu]

    %[Cu2+]

    %[CuOH+]

    %[Cu(OH)2]

    %2[Cu2(OH)2+2]

    %[Cu(OH)3-]

    %[Cu(OH)4-2]

    -2

  • Escuela de MetalurgiaCiclo 2007-I

    Fundamentos Metalrgicos IIExamen Parcial 22/V/07

    Sin copias, libros, apuntes OSC ME-413R

    0.0002H+/H2

    Hoja1Hoja2Hoja1 (2)