PRIMERA PRACTICA CALIFICADA - FUNDAMENTOS METALURGICOS II

SEMIREACCION

COBRECu(+2a) + 2e- = Cu

T deltaH deltaS deltaG KK kJ J/K kJ

298.150 -64.900 0.471 -65.040 2.488E+011303.150 -64.889 0.507 -65.043 1.615E+011308.150 -64.892 0.498 -65.045 1.064E+011313.150 -64.902 0.465 -65.048 7.098E+010318.150 -64.916 0.422 -65.050 4.797E+010323.150 -64.930 0.377 -65.052 3.281E+010328.150 -64.945 0.333 -65.054 2.270E+010333.150 -64.960 0.286 -65.055 1.588E+010338.150 -64.973 0.249 -65.057 1.123E+010343.150 -64.979 0.230 -65.058 8.017E+009348.150 -64.978 0.233 -65.059 5.780E+009353.150 -64.968 0.261 -65.060 4.206E+009358.150 -64.949 0.315 -65.062 3.089E+009363.150 -64.919 0.399 -65.064 2.288E+009368.150 -64.876 0.515 -65.066 1.708E+009

Formula FM Conc. Amount Amountg/mol wt-% mol g

Cu(+2a) 63.546 99.998 1.000 63.546e- 0.001 0.002 2.000 0.001

g/mol wt-% mol gCu 63.546 100.000 1.000 63.546

SEMIREACCION

ZINC

Zn(+2a) + 2e- = ZnT deltaH deltaS deltaG KK kJ J/K kJ

298.150 153.385 20.572 147.252 1.585E-026303.150 153.486 20.908 147.148 4.399E-026308.150 153.574 21.194 147.043 1.182E-025313.150 153.654 21.453 146.936 3.079E-025318.150 153.731 21.697 146.828 7.787E-025323.150 153.807 21.934 146.719 1.914E-024328.150 153.883 22.167 146.609 4.581E-024333.150 153.959 22.395 146.498 1.068E-023338.150 154.036 22.627 146.385 2.431E-023343.150 154.121 22.874 146.271 5.402E-023348.150 154.212 23.138 146.156 1.174E-022353.150 154.312 23.423 146.040 2.497E-022358.150 154.421 23.731 145.922 5.201E-022363.150 154.541 24.064 145.803 1.063E-021368.150 154.674 24.426 145.681 2.130E-021

Formula FM Conc. Amount Amountg/mol wt-% mol g

Zn(+2a) 65.380 99.998 1.000 65.380e- 0.001 0.002 2.000 0.001

g/mol wt-% mol gZn 65.380 100.000 1.000 65.380

TOTAL

Cu(+2a) + Zn = Zn(+2a) + CuT deltaH deltaS deltaG KK kJ J/K kJ

298.150 -218.285 -20.101 -212.292 1.570E+037303.150 -218.376 -20.401 -212.191 3.672E+036308.150 -218.466 -20.696 -212.088 8.999E+035313.150 -218.556 -20.988 -211.984 2.305E+035318.150 -218.647 -21.274 -211.879 6.161E+034323.150 -218.737 -21.557 -211.771 1.714E+034328.150 -218.828 -21.835 -211.663 4.956E+033333.150 -218.919 -22.109 -211.553 1.487E+033

338.150 -219.009 -22.378 -211.442 4.619E+032343.150 -219.100 -22.644 -211.329 1.484E+032348.150 -219.190 -22.905 -211.215 4.924E+031353.150 -219.280 -23.163 -211.100 1.685E+031358.150 -219.370 -23.416 -210.984 5.938E+030363.150 -219.460 -23.665 -210.866 2.153E+030368.150 -219.550 -23.911 -210.747 8.020E+029

Formula FM Conc. Amount Amountg/mol wt-% mol g

Cu(+2a) 63.546 49.289 1.000 63.546Zn 65.380 50.711 1.000 65.380

g/mol wt-% mol gZn(+2a) 65.380 50.711 1.000 65.380Cu 63.546 49.289 1.000 63.546

REACCIONES A 25C Y 1 atm

deltaH deltaSkJ J/K

RED Cu(+2a) + 2e- = Cu -64.900 0.471OX Zn(+2a) + 2e- = Zn -153.385 -20.572TOTAL Cu(+2a) + Zn = Zn(+2a) + Cu -218.285 -20.101

PRIMERA PRACTICA CALIFICADA - FUNDAMENTOS METALURGICOS II

E vs. SHEV logK 1/T

0.34 11.4135301 0.00335401640.34 11.2257073 0.0032986970.34 11.0439893 0.0032451728 r20.34 10.8680557 0.00319335780.34 10.6976203 0.00314317150.34 10.532423 0.00309453810.34 10.3722242 0.00304738690.34 10.2167985 0.00300165090.34 10.0659353 0.00295726750.34 9.91944681 0.0029141775 r20.34 9.77716007 0.00287232510.34 9.63891355 0.00283165790.34 9.50455668 0.00279212620.34 9.37394911 0.00275368310.34 9.24696018 0.0027162841

Volumel or ml0.000 ml0.000 ml

l or ml7.092 ml

E vs. SHEV logK 1/T

-0.76 -25.8402842 0.0033540164-0.76 -25.3961861 0.003298697-0.76 -24.9662374 0.0032451728 r2-0.76 -24.5497918 0.0031933578-0.76 -24.1462301 0.0031431715-0.76 -23.7549622 0.0030945381-0.76 -23.3754303 0.0030473869-0.76 -23.0071094 0.0030016509-0.76 -22.6495043 0.0029572675-0.76 -22.3021382 0.0029141775 r2-0.76 -21.9645574 0.0028723251-0.76 -21.6363325 0.0028316579-0.76 -21.3170559 0.0027921262-0.76 -21.0063405 0.0027536831-0.76 -20.7038182 0.0027162841

Volumel or ml 0.000 ml0.000 ml

l or ml9.157 ml

Log(K)logK 1/T

37.196 37.2538142 0.003354016436.565 36.6218934 0.00329869735.954 36.0102267 0.0032451728 r235.363 35.4178476 0.003193357834.790 34.8438503 0.003143171534.234 34.2873853 0.003094538133.695 33.7476545 0.003047386933.172 33.2239079 0.0030016509

32.665 32.7154396 0.002957267532.171 32.221585 0.0029141775 r231.692 31.7417175 0.002872325131.227 31.2752461 0.002831657930.774 30.8216126 0.002792126230.333 30.3802897 0.002753683129.904 29.9507783 0.0027162841

Volumel or ml0.000 ml9.157 ml

l or ml0.000 ml7.092 ml

deltaGkJ

-65.040-147.252-212.292

G = A + BT-0.00033808 -64.94159461.2391E-005 0.00413687

0.9828354 0.00103674744.372652 130.00080007 1.3973E-005

logK = A + B(1/T)3397.693 0.01792406

0.222 0.000669171.000 0.00016854

235250520.997 136.682 3.6927E-007

G = A + BT-0.02242331 153.9565130.00013452 0.044907830.99953239 0.0112543427788.0016 133.51963536 0.00164658

logK = A + B(1/T)-8054.09555 1.170272162.32409801 0.007020550.99999892 0.0017682112009493.1 1337.5485616 4.0645E-005

G = A + BT0.02208524 -218.8981080.00014478 0.048335250.99944163 0.0121132923269.0159 13

3.414304 0.00190751

logK = A + B(1/T)11451.7881 -1.1523481

2.51344333 0.007592510.99999937 0.0019122720759094.5 1375.9112867 4.7538E-005

deltaH deltaSkJ J/K

RED Cu(+2a) + 2e- = Cu -64.9000 0.4711OX Zn = Zn(+2a) + 2e- -153.3854 -20.5719TOTAL Cu(+2a) + Zn = Zn(+2a) + Cu -218.2854 -20.1008

LEY DE HESS

H(red) + H(ox) = H(total)

Red Ox TOTALdeltaH -64.900 -153.385 -218.2854deltaS 0.471 -20.572 -20.1008deltaG -65.040 -147.252 -212.2924

deltaGkJ

-65.0405-147.2519-212.2924

HALLAMOS LOS POTENCIALES PARA CADA CELDA

n = 2F = 96500

Potencial P. OXCu(+2a) + 2e- = Cu 0.337 -0.337Zn = Zn(+2a) + 2e- 0.763 0.763Cu(+2a) + Zn = Zn(+2a) + Cu 1.100

POR LO TANTO

Zn ANODOCu CATODO

HALLAMOS EL G PARA LA REACCION

G = -n*F*Eth

G(total) -212.29239

APLICACIONES METALURGICAS

G = -n*F*Eth

Cu(+2a) + Zn = Zn(+2a) + Cu

A B Ccoef. ELEMENTO J/(mol*K)

1 Cu(+2) 19652.914 -81020.651 -3428.1021 Zn(+2) 19327.228 -79748.339 -3374.2351 Cu 21.988 15.303 -0.7361 Zn 23.827 8.331 -0.516

CpT Cu(+2) Zn(+2) Cu Zn

298.15 -8.5898 -25.6423 24.4393 25.3912303.15 -5.0806 -22.1949 24.4995 25.4404308.15 -2.9654 -20.1196 24.5576 25.4884313.15 -1.8582 -19.0365 24.6139 25.5355318.15 -1.4034 -18.5956 24.6682 25.5815323.15 -1.2723 -18.4733 24.7208 25.6265328.15 -1.1612 -18.3708 24.7716 25.6707333.15 -0.7892 -18.0115 24.8207 25.7140338.15 0.1043 -17.1390 24.8682 25.7565343.15 1.7608 -15.5154 24.9142 25.7982348.15 4.4048 -12.9200 24.9586 25.8392353.15 8.2448 -9.1475 25.0016 25.8794358.15 13.4749 -4.0066 25.0431 25.9190363.15 20.2761 2.6806 25.0833 25.9579368.15 28.8170 11.0802 25.1221 25.9961

)="A + B10^3T + C10^5T^2 + _ (D10^6T^2 "

To= 298.15Tf= 368.15

D T1 T2 Cp promK K

93946.449 273.15 333.15 -8.58977 28.81702 10.1136292469.358 273.15 333.15 -25.64234 11.08015 -7.28109-14.437 100 400 24.43928 25.12205 24.78067

-3.816 100 298.15 25.39120 25.99614 25.69367

Cp(promedio)Cu(+2) Zn(+2) Cu Zn

-8.5898 -25.6423 24.4393 25.3912 -18.0045-6.8352 -23.9186 24.4694 25.4158 -18.0299-5.7776 -22.8810 24.4985 25.4398 -18.0447-5.2240 -22.3394 24.5266 25.4633 -18.0522-4.9966 -22.1189 24.5537 25.4863 -18.0550-4.9310 -22.0578 24.5800 25.5089 -18.0557-4.8755 -22.0066 24.6054 25.5310 -18.0566-4.6895 -21.8269 24.6300 25.5526 -18.0601-4.2427 -21.3906 24.6538 25.5739 -18.0680-3.4145 -20.5789 24.6767 25.5947 -18.0824-2.0925 -19.2812 24.6990 25.6152 -18.1049-0.1725 -17.3949 24.7204 25.6353 -18.13732.4426 -14.8245 24.7412 25.6551 -18.18095.8432 -11.4809 24.7613 25.6745 -18.2373

10.1136 -7.2811 24.7807 25.6937 -18.3077

Cp(25C) Cp(95C)

Cp promedio

-18.3077227deltaH deltaS deltaG

kJ kJ/K kJ-218.285 -0.02010 -212.292

G(HSC) Error(relativo)

-218.2854 -0.0201 -212.2924 -212.292 0.00%-308.4347 -0.3200 -212.1919 -212.191 0.00%-398.7329 -0.6154 -212.0914 -212.088 0.00%-489.0683 -0.9062 -211.9909 -211.984 0.00%-579.3848 -1.1923 -211.8904 -211.879 0.01%-669.6767 -1.4739 -211.7899 -211.771 0.01%-759.9839 -1.7513 -211.6894 -211.663 0.01%-850.3876 -2.0247 -211.5889 -211.553 0.02%-941.0064 -2.2947 -211.4884 -211.442 0.02%

-1031.9933 -2.5620 -211.3878 -211.329 0.03%-1123.5320 -2.8270 -211.2873 -211.215 0.03%-1215.8350 -3.0907 -211.1868 -211.100 0.04%-1309.1402 -3.3537 -211.0863 -210.984 0.05%-1403.7095 -3.6168 -210.9858 -210.866 0.06%-1499.8260 -3.8811 -210.8853 -210.747 0.07%

Cp promedio

Cp promedio " " _((1 )),

" " _((1 )),

" " _((1 )),

)298*(|2980

)298,1(0

),1( TCpHHT

T

PREGUNTA 01PREGUNTA 02PREGUNTA 03PREGUNTA 04