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Part C
From the resistivity table below and from the ionic diffusivity parameters from the graph below, calculate the ohmic loss
For that case we have to know the values of each parameter
Area=A=80 cm^2
j=0.9 A/cm^2
lenght=0.004 cm
σ_i=0.15 ohm^(-1) cm^(-1)
σ_e=0.20 ohm^(-1) cm^(-1)
δ=0.005 cm
In the first step we will calculate the value of current
i=∫▒jds
i=j×A
i=0.9×80=72
Entropy
Entropy ∆S is energy changes in chemical reactions that is related to the heat flow q_rev in the reaction.
∆S^o = 2 (69.9)-[ 2 (131)+1 (205)]= -327 J/(K mol)
entropy = ∆S =q_rev/T
q_rev = n C_P ∆T
∆S = n C_P ln T_2/T_1
n_H=number of moles of hydrogen =2
n_(O_2 )=number of moles of oxygen=1
n_(H_2 O )=number of moles of water =2
C_P=specific heat of capacity at constant pressure
specific heat of capacity of hydrogen at constant pressure= 14300 J/(kg K)
specific heat of capacity of oxygen at constant pressure= 913 J/(kg K)
specific heat of capacity of water vapour at constant pressure= 2020 K/(kg K)
Enthalpy
∆H= ∫_(T_1)^(T_2)▒〖C_p (T)dT〗
∆H_2 = ∆H_f + nC_P ∆T
∆H_f = -241.826
Gibb’s free energy
G = H-TS
Maximum efficiency for each temperature of operation
Maximum efficiency is observed at 500 K.
B
Butler–Volmer equation for activation loss
η_e = -RT/(a n F) l n〖i_0 〗+ RT/(a n F) l n(i)
R=gas constant=8.314 J/(mol K)
F =96485 C/mol
a_(H_2 O) =1
i_0= the exchange current density
i=1 amp
n=2
Pb 2.5×10^(-13)
Zn 3.0×10^(-11)
Ag 4.0×10^(-7)
Ni 6.0×10^(-6)
Pt 5.0×10^(-4)
Pd 4.0×10^(-3)
|
T |
Pb |
Zn |
Ag |
Ni |
Pt |
Pd |
|
300 |
0.52386654 |
0.313178 |
0.190413 |
0.155411 |
0.098244 |
0.249937 |
|
310 |
0.54132876 |
0.323618 |
0.19676 |
0.160591 |
0.101519 |
0.258268 |
|
320 |
0.55879098 |
0.334057 |
0.203108 |
0.165772 |
0.104794 |
0.266599 |
|
330 |
0.5762532 |
0.344496 |
0.209455 |
0.170952 |
0.108069 |
0.27493 |
|
340 |
0.59371542 |
0.354935 |
0.215802 |
0.176132 |
0.111343 |
0.283262 |
|
350 |
0.61117763 |
0.365375 |
0.222149 |
0.181313 |
0.114618 |
0.291593 |
|
360 |
0.62863985 |
0.375814 |
0.228496 |
0.186493 |
0.117893 |
0.299924 |
|
370 |
0.64610207 |
0.386253 |
0.234843 |
0.191673 |
0.121168 |
0.308255 |
|
380 |
0.66356429 |
0.396693 |
0.24119 |
0.196854 |
0.124443 |
0.316586 |
|
390 |
0.68102651 |
0.407132 |
0.247537 |
0.202034 |
0.127717 |
0.324918 |
|
400 |
0.69848873 |
0.417571 |
0.253884 |
0.207215 |
0.130992 |
0.333249 |
|
410 |
0.71595094 |
0.42801 |
0.260232 |
0.212395 |
0.134267 |
0.34158 |
|
420 |
0.73341316 |
0.43845 |
0.266579 |
0.217575 |
0.137542 |
0.349911 |
|
430 |
0.75087538 |
0.448889 |
0.272926 |
0.222756 |
0.140817 |
0.358243 |
|
440 |
0.7683376 |
0.459328 |
0.279273 |
0.227936 |
0.144091 |
0.366574 |
|
450 |
0.78579982 |
0.469768 |
0.28562 |
0.233116 |
0.147366 |
0.374905 |
|
460 |
0.80326203 |
0.480207 |
0.291967 |
0.238297 |
0.150641 |
0.383236 |
|
470 |
0.82072425 |
0.490646 |
0.298314 |
0.243477 |
0.153916 |
0.391567 |
|
480 |
0.83818647 |
0.501085 |
0.304661 |
0.248657 |
0.157191 |
0.399899 |
|
490 |
0.85564869 |
0.511525 |
0.311008 |
0.253838 |
0.160465 |
0.40823 |
|
500 |
0.87311091 |
0.521964 |
0.317356 |
0.259018 |
0.16374 |
0.416561 |
|
510 |
0.89057312 |
0.532403 |
0.323703 |
0.264199 |
0.167015 |
0.424892 |
|
520 |
0.90803534 |
0.542842 |
0.33005 |
0.269379 |
0.17029 |
0.433224 |
|
530 |
0.92549756 |
0.553282 |
0.336397 |
0.274559 |
0.173565 |
0.441555 |
|
540 |
0.94295978 |
0.563721 |
0.342744 |
0.27974 |
0.176839 |
0.449886 |
|
550 |
0.960422 |
0.57416 |
0.349091 |
0.28492 |
0.180114 |
0.458217 |
|
560 |
0.97788422 |
0.5846 |
0.355438 |
0.2901 |
0.183389 |
0.466548 |
|
570 |
0.99534643 |
0.595039 |
0.361785 |
0.295281 |
0.186664 |
0.47488 |
|
580 |
1.01280865 |
0.605478 |
0.368132 |
0.300461 |
0.189939 |
0.483211 |
|
590 |
1.03027087 |
0.615917 |
0.37448 |
0.305641 |
0.193213 |
0.491542 |
|
600 |
1.04773309 |
0.626357 |
0.380827 |
0.310822 |
0.196488 |
0.499873 |
|
610 |
1.06519531 |
0.636796 |
0.387174 |
0.316002 |
0.199763 |
0.508205 |
|
620 |
1.08265752 |
0.647235 |
0.393521 |
0.321183 |
0.203038 |
0.516536 |
|
630 |
1.10011974 |
0.657675 |
0.399868 |
0.326363 |
0.206313 |
0.524867 |
|
640 |
1.11758196 |
0.668114 |
0.406215 |
0.331543 |
0.209587 |
0.533198 |
|
650 |
1.13504418 |
0.678553 |
0.412562 |
0.336724 |
0.212862 |
0.541529 |
|
660 |
1.1525064 |
0.688992 |
0.418909 |
0.341904 |
0.216137 |
0.549861 |
|
670 |
1.16996861 |
0.699432 |
0.425256 |
0.347084 |
0.219412 |
0.558192 |
|
680 |
1.18743083 |
0.709871 |
0.431604 |
0.352265 |
0.222687 |
0.566523 |
|
690 |
1.20489305 |
0.72031 |
0.437951 |
0.357445 |
0.225962 |
0.574854 |
|
700 |
1.22235527 |
0.730749 |
0.444298 |
0.362625 |
0.229236 |
0.583186 |
|
710 |
1.23981749 |
0.741189 |
0.450645 |
0.367806 |
0.232511 |
0.591517 |
|
720 |
1.25727971 |
0.751628 |
0.456992 |
0.372986 |
0.235786 |
0.599848 |
|
730 |
1.27474192 |
0.762067 |
0.463339 |
0.378167 |
0.239061 |
0.608179 |
|
740 |
1.29220414 |
0.772507 |
0.469686 |
0.383347 |
0.242336 |
0.61651 |
|
750 |
1.30966636 |
0.782946 |
0.476033 |
0.388527 |
0.24561 |
0.624842 |
|
760 |
1.32712858 |
0.793385 |
0.48238 |
0.393708 |
0.248885 |
0.633173 |
|
770 |
1.3445908 |
0.803824 |
0.488728 |
0.398888 |
0.25216 |
0.641504 |
|
780 |
1.36205301 |
0.814264 |
0.495075 |
0.404068 |
0.255435 |
0.649835 |
|
790 |
1.37951523 |
0.824703 |
0.501422 |
0.409249 |
0.25871 |
0.658166 |
|
800 |
1.39697745 |
0.835142 |
0.507769 |
0.414429 |
0.261984 |
0.666498 |
|
810 |
1.41443967 |
0.845582 |
0.514116 |
0.419609 |
0.265259 |
0.674829 |
|
820 |
1.43190189 |
0.856021 |
0.520463 |
0.42479 |
0.268534 |
0.68316 |
|
830 |
1.4493641 |
0.86646 |
0.52681 |
0.42997 |
0.271809 |
0.691491 |
|
840 |
1.46682632 |
0.876899 |
0.533157 |
0.43515 |
0.275084 |
0.699823 |
|
850 |
1.48428854 |
0.887339 |
0.539504 |
0.440331 |
0.278358 |
0.708154 |
|
860 |
1.50175076 |
0.897778 |
0.545852 |
0.445511 |
0.281633 |
0.716485 |
|
870 |
1.51921298 |
0.908217 |
0.552199 |
0.450692 |
0.284908 |
0.724816 |
|
880 |
1.5366752 |
0.918656 |
0.558546 |
0.455872 |
0.288183 |
0.733147 |
|
890 |
1.55413741 |
0.929096 |
0.564893 |
0.461052 |
0.291458 |
0.741479 |
|
900 |
1.57159963 |
0.939535 |
0.57124 |
0.466233 |
0.294732 |
0.74981 |
|
910 |
1.58906185 |
0.949974 |
0.577587 |
0.471413 |
0.298007 |
0.758141 |
|
920 |
1.60652407 |
0.960414 |
0.583934 |
0.476593 |
0.301282 |
0.766472 |
|
930 |
1.62398629 |
0.970853 |
0.590281 |
0.481774 |
0.304557 |
0.774804 |
|
940 |
1.6414485 |
0.981292 |
0.596628 |
0.486954 |
0.307832 |
0.783135 |
|
950 |
1.65891072 |
0.991731 |
0.602976 |
0.492134 |
0.311106 |
0.791466 |
|
960 |
1.67637294 |
1.002171 |
0.609323 |
0.497315 |
0.314381 |
0.799797 |
|
970 |
1.69383516 |
1.01261 |
0.61567 |
0.502495 |
0.317656 |
0.808128 |
|
980 |
1.71129738 |
1.023049 |
0.622017 |
0.507676 |
0.320931 |
0.81646 |
|
990 |
1.72875959 |
1.033489 |
0.628364 |
0.512856 |
0.324206 |
0.824791 |
|
1000 |
1.74622181 |
1.043928 |
0.634711 |
0.518036 |
0.32748 |
0.833122 |
|
1010 |
1.76368403 |
1.054367 |
0.641058 |
0.523217 |
0.330755 |
0.841453 |
|
1020 |
1.78114625 |
1.064806 |
0.647405 |
0.528397 |
0.33403 |
0.849785 |
|
1030 |
1.79860847 |
1.075246 |
0.653752 |
0.533577 |
0.337305 |
0.858116 |
|
1040 |
1.81607069 |
1.085685 |
0.6601 |
0.538758 |
0.34058 |
0.866447 |
|
1050 |
1.8335329 |
1.096124 |
0.666447 |
0.543938 |
0.343854 |
0.874778 |
|
1060 |
1.85099512 |
1.106564 |
0.672794 |
0.549118 |
0.347129 |
0.883109 |
|
1070 |
1.86845734 |
1.117003 |
0.679141 |
0.554299 |
0.350404 |
0.891441 |
|
1080 |
1.88591956 |
1.127442 |
0.685488 |
0.559479 |
0.353679 |
0.899772 |
|
1090 |
1.90338178 |
1.137881 |
0.691835 |
0.56466 |
0.356954 |
0.908103 |
|
1100 |
1.92084399 |
1.148321 |
0.698182 |
0.56984 |
0.360228 |
0.916434 |
|
1110 |
1.93830621 |
1.15876 |
0.704529 |
0.57502 |
0.363503 |
0.924766 |
|
1120 |
1.95576843 |
1.169199 |
0.710876 |
0.580201 |
0.366778 |
0.933097 |
|
1130 |
1.97323065 |
1.179638 |
0.717224 |
0.585381 |
0.370053 |
0.941428 |
|
1140 |
1.99069287 |
1.190078 |
0.723571 |
0.590561 |
0.373328 |
0.949759 |
|
1150 |
2.00815508 |
1.200517 |
0.729918 |
0.595742 |
0.376603 |
0.95809 |
|
1160 |
2.0256173 |
1.210956 |
0.736265 |
0.600922 |
0.379877 |
0.966422 |
|
1170 |
2.04307952 |
1.221396 |
0.742612 |
0.606102 |
0.383152 |
0.974753 |
|
1180 |
2.06054174 |
1.231835 |
0.748959 |
0.611283 |
0.386427 |
0.983084 |
|
1190 |
2.07800396 |
1.242274 |
0.755306 |
0.616463 |
0.389702 |
0.991415 |
|
1200 |
2.09546618 |
1.252713 |
0.761653 |
0.621644 |
0.392977 |
0.999747 |
|
1210 |
2.11292839 |
1.263153 |
0.768 |
0.626824 |
0.396251 |
1.008078 |
|
1220 |
2.13039061 |
1.273592 |
0.774348 |
0.632004 |
0.399526 |
1.016409 |
|
1230 |
2.14785283 |
1.284031 |
0.780695 |
0.637185 |
0.402801 |
1.02474 |
|
1240 |
2.16531505 |
1.294471 |
0.787042 |
0.642365 |
0.406076 |
1.033071 |
|
1250 |
2.18277727 |
1.30491 |
0.793389 |
0.647545 |
0.409351 |
1.041403 |
|
1260 |
2.20023948 |
1.315349 |
0.799736 |
0.652726 |
0.412625 |
1.049734 |
|
1270 |
2.2177017 |
1.325788 |
0.806083 |
0.657906 |
0.4159 |
1.058065 |
|
1280 |
2.23516392 |
1.336228 |
0.81243 |
0.663086 |
0.419175 |
1.066396 |
|
1290 |
2.25262614 |
1.346667 |
0.818777 |
0.668267 |
0.42245 |
1.074728 |
|
1300 |
2.27008836 |
1.357106 |
0.825124 |
0.673447 |
0.425725 |
1.083059 |
|
1310 |
2.28755057 |
1.367545 |
0.831472 |
0.678628 |
0.428999 |
1.09139 |
|
1320 |
2.30501279 |
1.377985 |
0.837819 |
0.683808 |
0.432274 |
1.099721 |
|
1330 |
2.32247501 |
1.388424 |
0.844166 |
0.688988 |
0.435549 |
1.108052 |
|
1340 |
2.33993723 |
1.398863 |
0.850513 |
0.694169 |
0.438824 |
1.116384 |
|
1350 |
2.35739945 |
1.409303 |
0.85686 |
0.699349 |
0.442099 |
1.124715 |
|
1360 |
2.37486167 |
1.419742 |
0.863207 |
0.704529 |
0.445373 |
1.133046 |
|
1370 |
2.39232388 |
1.430181 |
0.869554 |
0.70971 |
0.448648 |
1.141377 |
|
1380 |
2.4097861 |
1.44062 |
0.875901 |
0.71489 |
0.451923 |
1.149709 |
|
1390 |
2.42724832 |
1.45106 |
0.882248 |
0.72007 |
0.455198 |
1.15804 |
|
1400 |
2.44471054 |
1.461499 |
0.888596 |
0.725251 |
0.458473 |
1.166371 |
|
1410 |
2.46217276 |
1.471938 |
0.894943 |
0.730431 |
0.461747 |
1.174702 |
|
1420 |
2.47963497 |
1.482378 |
0.90129 |
0.735612 |
0.465022 |
1.183033 |
|
1430 |
2.49709719 |
1.492817 |
0.907637 |
0.740792 |
0.468297 |
1.191365 |
|
1440 |
2.51455941 |
1.503256 |
0.913984 |
0.745972 |
0.471572 |
1.199696 |
|
1450 |
2.53202163 |
1.513695 |
0.920331 |
0.751153 |
0.474847 |
1.208027 |
|
1460 |
2.54948385 |
1.524135 |
0.926678 |
0.756333 |
0.478121 |
1.216358 |
|
1470 |
2.56694606 |
1.534574 |
0.933025 |
0.761513 |
0.481396 |
1.22469 |
|
1480 |
2.58440828 |
1.545013 |
0.939372 |
0.766694 |
0.484671 |
1.233021 |
|
1490 |
2.6018705 |
1.555452 |
0.94572 |
0.771874 |
0.487946 |
1.241352 |
|
1500 |
2.61933272 |
1.565892 |
0.952067 |
0.777054 |
0.491221 |
1.249683 |
|
1510 |
2.63679494 |
1.576331 |
0.958414 |
0.782235 |
0.494495 |
1.258014 |
Part C
From the resistivity table below and from the ionic diffusivity parameters from the graph below, calculate the ohmic loss
For that case we have to know the values of each parameter
Area=A=80 cm^2
j=0.9 A/cm^2
lenght=0.004 cm
σ_i=0.15 ohm^(-1) cm^(-1)
σ_e=0.20 ohm^(-1) cm^(-1)
δ=0.005 cm
In the first step we will calculate the value of current
i=∫▒jds
i=j×A
i=0.9×80=72
|
Ag |
Ni |
Pt |
Pd |
Pb |
Zn |
|
2.27E+03 |
5.16E+02 |
3.41E+02 |
3.61E+02 |
1.65E+02 |
6.11E+02 |
|
7.93E+03 |
1.80E+03 |
1.19E+03 |
1.26E+03 |
5.76E+02 |
2.14E+03 |
|
1.36E+04 |
3.09E+03 |
2.04E+03 |
2.17E+03 |
9.88E+02 |
3.67E+03 |
|
1.93E+04 |
4.38E+03 |
2.89E+03 |
3.07E+03 |
1.40E+03 |
5.19E+03 |
|
2.49E+04 |
5.67E+03 |
3.75E+03 |
3.97E+03 |
1.81E+03 |
6.72E+03 |
|
3.06E+04 |
6.96E+03 |
4.60E+03 |
4.88E+03 |
2.22E+03 |
8.25E+03 |
|
3.62E+04 |
8.25E+03 |
5.45E+03 |
5.78E+03 |
2.63E+03 |
9.78E+03 |
|
4.19E+04 |
9.54E+03 |
6.30E+03 |
6.68E+03 |
3.04E+03 |
1.13E+04 |
|
4.76E+04 |
1.08E+04 |
7.15E+03 |
7.59E+03 |
3.46E+03 |
1.28E+04 |
|
5.32E+04 |
1.21E+04 |
8.00E+03 |
8.49E+03 |
3.87E+03 |
1.44E+04 |
|
5.89E+04 |
1.34E+04 |
8.85E+03 |
9.39E+03 |
4.28E+03 |
1.59E+04 |
|
6.46E+04 |
1.47E+04 |
9.71E+03 |
1.03E+04 |
4.69E+03 |
1.74E+04 |
|
7.02E+04 |
1.60E+04 |
1.06E+04 |
1.12E+04 |
5.10E+03 |
1.89E+04 |
|
7.59E+04 |
1.73E+04 |
1.14E+04 |
1.21E+04 |
5.51E+03 |
2.05E+04 |
|
8.15E+04 |
1.86E+04 |
1.23E+04 |
1.30E+04 |
5.92E+03 |
2.20E+04 |
|
8.72E+04 |
1.99E+04 |
1.31E+04 |
1.39E+04 |
6.34E+03 |
2.35E+04 |
|
9.29E+04 |
2.11E+04 |
1.40E+04 |
1.48E+04 |
6.75E+03 |
2.51E+04 |
|
9.85E+04 |
2.24E+04 |
1.48E+04 |
1.57E+04 |
7.16E+03 |
2.66E+04 |
|
1.04E+05 |
2.37E+04 |
1.57E+04 |
1.66E+04 |
7.57E+03 |
2.81E+04 |
|
1.10E+05 |
2.50E+04 |
1.65E+04 |
1.75E+04 |
7.98E+03 |
2.96E+04 |
|
1.16E+05 |
2.63E+04 |
1.74E+04 |
1.84E+04 |
8.39E+03 |
3.12E+04 |
|
1.21E+05 |
2.76E+04 |
1.82E+04 |
1.93E+04 |
8.80E+03 |
3.27E+04 |
|
1.27E+05 |
2.89E+04 |
1.91E+04 |
2.02E+04 |
9.22E+03 |
3.42E+04 |
|
1.33E+05 |
3.02E+04 |
1.99E+04 |
2.11E+04 |
9.63E+03 |
3.58E+04 |
|
1.38E+05 |
3.15E+04 |
2.08E+04 |
2.20E+04 |
1.00E+04 |
3.73E+04 |
|
1.44E+05 |
3.27E+04 |
2.16E+04 |
2.29E+04 |
1.04E+04 |
3.88E+04 |
|
1.49E+05 |
3.40E+04 |
2.25E+04 |
2.38E+04 |
1.09E+04 |
4.03E+04 |
|
1.55E+05 |
3.53E+04 |
2.33E+04 |
2.47E+04 |
1.13E+04 |
4.19E+04 |
|
1.61E+05 |
3.66E+04 |
2.42E+04 |
2.56E+04 |
1.17E+04 |
4.34E+04 |
|
1.66E+05 |
3.79E+04 |
2.50E+04 |
2.65E+04 |
1.21E+04 |
4.49E+04 |
|
1.72E+05 |
3.92E+04 |
2.59E+04 |
2.75E+04 |
1.25E+04 |
4.64E+04 |
|
1.78E+05 |
4.05E+04 |
2.67E+04 |
2.84E+04 |
1.29E+04 |
4.80E+04 |
|
1.83E+05 |
4.18E+04 |
2.76E+04 |
2.93E+04 |
1.33E+04 |
4.95E+04 |
|
1.89E+05 |
4.31E+04 |
2.84E+04 |
3.02E+04 |
1.37E+04 |
5.10E+04 |
|
1.95E+05 |
4.43E+04 |
2.93E+04 |
3.11E+04 |
1.42E+04 |
5.26E+04 |
|
2.00E+05 |
4.56E+04 |
3.01E+04 |
3.20E+04 |
1.46E+04 |
5.41E+04 |
|
2.06E+05 |
4.69E+04 |
3.10E+04 |
3.29E+04 |
1.50E+04 |
5.56E+04 |
|
2.12E+05 |
4.82E+04 |
3.18E+04 |
3.38E+04 |
1.54E+04 |
5.71E+04 |
|
2.17E+05 |
4.95E+04 |
3.27E+04 |
3.47E+04 |
1.58E+04 |
5.87E+04 |
|
2.23E+05 |
5.08E+04 |
3.35E+04 |
3.56E+04 |
1.62E+04 |
6.02E+04 |
|
2.29E+05 |
5.21E+04 |
3.44E+04 |
3.65E+04 |
1.66E+04 |
6.17E+04 |
|
2.34E+05 |
5.34E+04 |
3.52E+04 |
3.74E+04 |
1.70E+04 |
6.33E+04 |
|
2.40E+05 |
5.47E+04 |
3.61E+04 |
3.83E+04 |
1.74E+04 |
6.48E+04 |
|
2.46E+05 |
5.59E+04 |
3.69E+04 |
3.92E+04 |
1.79E+04 |
6.63E+04 |
|
2.51E+05 |
5.72E+04 |
3.78E+04 |
4.01E+04 |
1.83E+04 |
6.78E+04 |
|
2.57E+05 |
5.85E+04 |
3.87E+04 |
4.10E+04 |
1.87E+04 |
6.94E+04 |
|
2.63E+05 |
5.98E+04 |
3.95E+04 |
4.19E+04 |
1.91E+04 |
7.09E+04 |
|
2.68E+05 |
6.11E+04 |
4.04E+04 |
4.28E+04 |
1.95E+04 |
7.24E+04 |
|
2.74E+05 |
6.24E+04 |
4.12E+04 |
4.37E+04 |
1.99E+04 |
7.39E+04 |
According to the given scenario Ag metal is the best one because it contain extremely low ohmic losses. It is use to this configuration. The electrical conductivity of silver is high due to this the resistivity loss of silver is low. This is because the voltages are directly proportional to the resistance. This can be explained through the help of graph
|
B |
J
anode |
j
cathode |
Concentration
losses |
|
|
0.06 |
10 |
1 |
0.143813746 |
|
|
0.07 |
12 |
2 |
0.047305898 |
|
|
0.08 |
14 |
3 |
0.033849603 |
|
|
0.09 |
16 |
4 |
0.028150761 |
|
|
0.1 |
18 |
5 |
0.024974423 |
|
|
0.11 |
20 |
6 |
0.022941915 |
|
|
0.12 |
22 |
7 |
0.021526895 |
|
|
0.13 |
24 |
8 |
0.020483836 |
|
|
0.14 |
26 |
9 |
0.019682489 |
|
|
0.15 |
28 |
10 |
0.019047219 |
|
|
0.16 |
30 |
11 |
0.018531049 |
|
|
0.17 |
32 |
12 |
0.018103236 |
|
|
0.18 |
34 |
13 |
0.017742806 |
|
|
0.19 |
36 |
14 |
0.017434952 |
|
|
0.2 |
38 |
15 |
0.017168919 |
|
|
0.21 |
40 |
16 |
0.016936703 |
|
|
0.22 |
42 |
17 |
0.016732225 |
|
|
0.23 |
44 |
18 |
0.016550784 |
|
|
0.24 |
46 |
19 |
0.016388686 |
|
|
0.25 |
48 |
20 |
0.016242987 |
|
|
0.26 |
50 |
21 |
0.016111314 |
|
|
0.27 |
52 |
22 |
0.015991731 |
|
|
0.28 |
54 |
23 |
0.015882643 |
|
|
0.29 |
56 |
24 |
0.015782724 |
|
|
0.3 |
58 |
25 |
0.015690863 |
|
|
0.31 |
60 |
26 |
0.015606122 |
|
|
0.32 |
62 |
27 |
0.015527703 |
|
|
0.33 |
64 |
28 |
0.015454922 |
|
|
0.34 |
66 |
29 |
0.015387192 |
|
|
0.35 |
68 |
30 |
0.015324004 |
|
|
0.36 |
70 |
31 |
0.015264916 |
|
|
0.37 |
72 |
32 |
0.01520954 |
|
|
0.38 |
74 |
33 |
0.015157538 |
|
|
0.39 |
76 |
34 |
0.015108609 |
|
|
0.4 |
78 |
35 |
0.015062489 |
|
|
0.41 |
80 |
36 |
0.015018943 |
|
|
0.42 |
82 |
37 |
0.01497776 |
|
|
0.43 |
84 |
38 |
0.014938753 |
|
|
0.44 |
86 |
39 |
0.014901755 |
|
|
0.45 |
88 |
40 |
0.014866613 |
|
|
0.46 |
90 |
41 |
0.014833191 |
|
|
0.47 |
92 |
42 |
0.014801367 |
|
|
0.48 |
94 |
43 |
0.014771027 |
|
|
0.49 |
96 |
44 |
0.014742071 |
|
|
0.5 |
98 |
45 |
0.014714405 |
|
|
0.51 |
100 |
46 |
0.014687946 |
|
|
0.52 |
102 |
47 |
0.014662616 |
|
|
0.53 |
104 |
48 |
0.014638345 |
|
|
0.54 |
106 |
49 |
0.014615066 |
|
|
0.55 |
108 |
50 |
0.014592721 |
|
|
0.56 |
110 |
51 |
0.014571255 |
|
|
0.57 |
112 |
52 |
0.014550616 |
|
|
0.58 |
114 |
53 |
0.014530757 |
|
|
0.59 |
116 |
54 |
0.014511636 |
|
|
0.6 |
118 |
55 |
0.014493212 |
|
|
0.61 |
120 |
56 |
0.014475447 |
|
|
0.62 |
122 |
57 |
0.014458307 |
|
|
0.63 |
124 |
58 |
0.014441759 |
|
|
0.64 |
126 |
59 |
0.014425772 |
|
|
0.65 |
128 |
60 |
0.01441032 |
|
|
0.66 |
130 |
61 |
0.014395376 |
|
|
0.67 |
132 |
62 |
0.014380914 |
|
|
0.68 |
134 |
63 |
0.014366912 |
|
|
0.69 |
136 |
64 |
0.014353349 |
|
|
0.7 |
138 |
65 |
0.014340203 |
|
|
0.71 |
140 |
66 |
0.014327457 |
|
|
0.72 |
142 |
67 |
0.014315091 |
|
|
0.73 |
144 |
68 |
0.01430309 |
|
|
0.74 |
146 |
69 |
0.014291437 |
|
|
0.75 |
148 |
70 |
0.014280118 |
|
|
0.76 |
150 |
71 |
0.014269118 |
|
|
0.77 |
152 |
72 |
0.014258424 |
|
|
0.78 |
154 |
73 |
0.014248023 |
|
|
0.79 |
156 |
74 |
0.014237904 |
|
|
0.8 |
158 |
75 |
0.014228055 |
|
|
0.81 |
160 |
76 |
0.014218466 |
|
|
0.82 |
162 |
77 |
0.014209126 |
|
|
0.83 |
164 |
78 |
0.014200025 |
|
|
0.84 |
166 |
79 |
0.014191156 |
|
|
0.85 |
168 |
80 |
0.014182508 |
|
|
0.86 |
170 |
81 |
0.014174074 |
|
|
0.87 |
172 |
82 |
0.014165846 |
|
|
0.88 |
174 |
83 |
0.014157817 |
|
|
0.89 |
176 |
84 |
0.014149979 |
|
|
0.9 |
178 |
85 |
0.014142326 |
|
|
0.91 |
180 |
86 |
0.01413485 |
|
|
0.92 |
182 |
87 |
0.014127547 |
|
|
0.93 |
184 |
88 |
0.01412041 |
|
|
0.94 |
186 |
89 |
0.014113433 |
|
|
0.95 |
188 |
90 |
0.014106612 |
|
|
0.96 |
190 |
91 |
0.014099941 |
|
|
0.97 |
192 |
92 |
0.014093415 |
|
|
0.98 |
194 |
93 |
0.014087029 |
|
|
0.99 |
196 |
94 |
0.014080779 |
|
|
1 |
198 |
95 |
0.014074662 |
|
|
1.01 |
200 |
96 |
0.014068671 |
|
|
1.02 |
202 |
97 |
0.014062804 |
|
|
1.03 |
204 |
98 |
0.014057057 |
|
|
1.04 |
206 |
99 |
0.014051427 |
|
|
1.05 |
208 |
100 |
0.014045909 |
|
|
1.06 |
210 |
101 |
0.0140405 |
|
|
1.07 |
212 |
102 |
0.014035198 |
|
|
1.08 |
214 |
103 |
0.014029998 |
|
|
1.09 |
216 |
104 |
0.014024899 |
|
|
1.1 |
218 |
105 |
0.014019896 |
|
|
1.11 |
220 |
106 |
0.014014989 |
|
|
1.12 |
222 |
107 |
0.014010173 |
|
|
1.13 |
224 |
108 |
0.014005446 |
|
|
1.14 |
226 |
109 |
0.014000806 |
|
|
1.15 |
228 |
110 |
0.013996251 |
|
|
1.16 |
230 |
111 |
0.013991777 |
|
|
1.17 |
232 |
112 |
0.013987384 |
|
|
1.18 |
234 |
113 |
0.013983068 |
|
|
1.19 |
236 |
114 |
0.013978829 |
|
|
1.2 |
238 |
115 |
0.013974663 |
|
|
1.21 |
240 |
116 |
0.013970568 |
|
|
1.22 |
242 |
117 |
0.013966544 |
|
|
1.23 |
244 |
118 |
0.013962588 |
|
|
1.24 |
246 |
119 |
0.013958699 |
|
|
1.25 |
248 |
120 |
0.013954874 |
|
|
1.26 |
250 |
121 |
0.013951113 |
|
|
1.27 |
252 |
122 |
0.013947414 |
|
|
1.28 |
254 |
123 |
0.013943774 |
|
|
1.29 |
256 |
124 |
0.013940194 |
|
|
1.3 |
258 |
125 |
0.01393667 |
|
|
1.31 |
260 |
126 |
0.013933203 |
|
temperature |
E_thermal |
n_act |
n_ohmic |
n_conc |
V |
|
300 |
143000 |
0.190413322 |
2.27E+03 |
0.143813746 |
1.41E+05 |
|
310 |
143000 |
0.196760433 |
7.93E+03 |
0.047305898 |
1.35E+05 |
|
320 |
143000 |
0.203107544 |
1.36E+04 |
0.033849603 |
1.29E+05 |
|
330 |
143000 |
0.209454654 |
1.93E+04 |
0.028150761 |
1.24E+05 |
|
340 |
143000 |
0.215801765 |
2.49E+04 |
0.024974423 |
1.18E+05 |
|
350 |
143000 |
0.222148876 |
3.06E+04 |
0.022941915 |
1.12E+05 |
|
360 |
143000 |
0.228495987 |
3.62E+04 |
0.021526895 |
1.07E+05 |
|
370 |
143000 |
0.234843097 |
4.19E+04 |
0.020483836 |
1.01E+05 |
|
380 |
143000 |
0.241190208 |
4.76E+04 |
0.019682489 |
9.54E+04 |
|
390 |
143000 |
0.247537319 |
5.32E+04 |
0.019047219 |
8.98E+04 |
|
400 |
143000 |
0.25388443 |
5.89E+04 |
0.018531049 |
8.41E+04 |
|
410 |
143000 |
0.26023154 |
6.46E+04 |
0.018103236 |
7.84E+04 |
|
420 |
143000 |
0.266578651 |
7.02E+04 |
0.017742806 |
7.28E+04 |
|
430 |
143000 |
0.272925762 |
7.59E+04 |
0.017434952 |
6.71E+04 |
|
440 |
143000 |
0.279272873 |
8.15E+04 |
0.017168919 |
6.15E+04 |
|
450 |
143000 |
0.285619983 |
8.72E+04 |
0.016936703 |
5.58E+04 |
|
460 |
143000 |
0.291967094 |
9.29E+04 |
0.016732225 |
5.01E+04 |
|
470 |
143000 |
0.298314205 |
9.85E+04 |
0.016550784 |
4.45E+04 |
|
480 |
143000 |
0.304661315 |
1.04E+05 |
0.016388686 |
3.88E+04 |
|
490 |
143000 |
0.311008426 |
1.10E+05 |
0.016242987 |
3.31E+04 |
|
500 |
143000 |
0.317355537 |
1.16E+05 |
0.016111314 |
2.75E+04 |
|
510 |
143000 |
0.323702648 |
1.21E+05 |
0.015991731 |
2.18E+04 |
|
520 |
143000 |
0.330049758 |
1.27E+05 |
0.015882643 |
1.62E+04 |
|
530 |
143000 |
0.336396869 |
1.33E+05 |
0.015782724 |
1.05E+04 |
|
540 |
143000 |
0.34274398 |
1.38E+05 |
0.015690863 |
4.83E+03 |
|
550 |
143000 |
0.349091091 |
1.44E+05 |
0.015606122 |
-8.34E+02 |
|
560 |
143000 |
0.355438201 |
1.49E+05 |
0.015527703 |
-6.50E+03 |
|
570 |
143000 |
0.361785312 |
1.55E+05 |
0.015454922 |
-1.22E+04 |
|
580 |
143000 |
0.368132423 |
1.61E+05 |
0.015387192 |
-1.78E+04 |
|
590 |
143000 |
0.374479534 |
1.66E+05 |
0.015324004 |
-2.35E+04 |
|
600 |
143000 |
0.380826644 |
1.72E+05 |
0.015264916 |
-2.91E+04 |
|
610 |
143000 |
0.387173755 |
1.78E+05 |
0.01520954 |
-3.48E+04 |
|
620 |
143000 |
0.393520866 |
1.83E+05 |
0.015157538 |
-4.05E+04 |
|
630 |
143000 |
0.399867977 |
1.89E+05 |
0.015108609 |
-4.61E+04 |
|
640 |
143000 |
0.406215087 |
1.95E+05 |
0.015062489 |
-5.18E+04 |
|
650 |
143000 |
0.412562198 |
2.00E+05 |
0.015018943 |
-5.75E+04 |
|
660 |
143000 |
0.418909309 |
2.06E+05 |
0.01497776 |
-6.31E+04 |
|
670 |
143000 |
0.425256419 |
2.12E+05 |
0.014938753 |
-6.88E+04 |
|
680 |
143000 |
0.43160353 |
2.17E+05 |
0.014901755 |
-7.45E+04 |
|
690 |
143000 |
0.437950641 |
2.23E+05 |
0.014866613 |
-8.01E+04 |
|
700 |
143000 |
0.444297752 |
2.29E+05 |
0.014833191 |
-8.58E+04 |
|
710 |
143000 |
0.450644862 |
2.34E+05 |
0.014801367 |
-9.14E+04 |
|
720 |
143000 |
0.456991973 |
2.40E+05 |
0.014771027 |
-9.71E+04 |
|
730 |
143000 |
0.463339084 |
2.46E+05 |
0.014742071 |
-1.03E+05 |
|
740 |
143000 |
0.469686195 |
2.51E+05 |
0.014714405 |
-1.08E+05 |
|
750 |
143000 |
0.476033305 |
2.57E+05 |
0.014687946 |
-1.14E+05 |
|
760 |
143000 |
0.482380416 |
2.63E+05 |
0.014662616 |
-1.20E+05 |
|
770 |
143000 |
0.488727527 |
2.68E+05 |
0.014638345 |
-1.25E+05 |
|
780 |
143000 |
0.495074638 |
2.74E+05 |
0.014615066 |
-1.31E+05 |
|
790 |
143000 |
0.501421748 |
2.80E+05 |
0.014592721 |
-1.37E+05 |
|
800 |
143000 |
0.507768859 |
2.85E+05 |
0.014571255 |
-1.42E+05 |
|
810 |
143000 |
0.51411597 |
2.91E+05 |
0.014550616 |
-1.48E+05 |
|
820 |
143000 |
0.520463081 |
2.97E+05 |
0.014530757 |
-1.54E+05 |
|
830 |
143000 |
0.526810191 |
3.02E+05 |
0.014511636 |
-1.59E+05 |
|
840 |
143000 |
0.533157302 |
3.08E+05 |
0.014493212 |
-1.65E+05 |
|
850 |
143000 |
0.539504413 |
3.14E+05 |
0.014475447 |
-1.71E+05 |
|
860 |
143000 |
0.545851524 |
3.19E+05 |
0.014458307 |
-1.76E+05 |
|
870 |
143000 |
0.552198634 |
3.25E+05 |
0.014441759 |
-1.82E+05 |
|
880 |
143000 |
0.558545745 |
3.31E+05 |
0.014425772 |
-1.88E+05 |
|
890 |
143000 |
0.564892856 |
3.36E+05 |
0.01441032 |
-1.93E+05 |
|
900 |
143000 |
0.571239966 |
3.42E+05 |
0.014395376 |
-1.99E+05 |
|
910 |
143000 |
0.577587077 |
3.48E+05 |
0.014380914 |
-2.05E+05 |
|
920 |
143000 |
0.583934188 |
3.53E+05 |
0.014366912 |
-2.10E+05 |
|
930 |
143000 |
0.590281299 |
3.59E+05 |
0.014353349 |
-2.16E+05 |
|
940 |
143000 |
0.596628409 |
3.65E+05 |
0.014340203 |
-2.22E+05 |
|
950 |
143000 |
0.60297552 |
3.70E+05 |
0.014327457 |
-2.27E+05 |
|
960 |
143000 |
0.609322631 |
3.76E+05 |
0.014315091 |
-2.33E+05 |
|
970 |
143000 |
0.615669742 |
3.82E+05 |
0.01430309 |
-2.39E+05 |
|
980 |
143000 |
0.622016852 |
3.87E+05 |
0.014291437 |
-2.44E+05 |
|
990 |
143000 |
0.628363963 |
3.93E+05 |
0.014280118 |
-2.50E+05 |
|
1000 |
143000 |
0.634711074 |
3.99E+05 |
0.014269118 |
-2.56E+05 |
|
1010 |
143000 |
0.641058185 |
4.04E+05 |
0.014258424 |
-2.61E+05 |
|
1020 |
143000 |
0.647405295 |
4.10E+05 |
0.014248023 |
-2.67E+05 |
|
1030 |
143000 |
0.653752406 |
4.16E+05 |
0.014237904 |
-2.73E+05 |
|
1040 |
143000 |
0.660099517 |
4.21E+05 |
0.014228055 |
-2.78E+05 |
|
1050 |
143000 |
0.666446628 |
4.27E+05 |
0.014218466 |
-2.84E+05 |
|
1060 |
143000 |
0.672793738 |
4.33E+05 |
0.014209126 |
-2.90E+05 |
|
1070 |
143000 |
0.679140849 |
4.38E+05 |
0.014200025 |
-2.95E+05 |
|
1080 |
143000 |
0.68548796 |
4.44E+05 |
0.014191156 |
-3.01E+05 |
|
1090 |
143000 |
0.691835071 |
4.50E+05 |
0.014182508 |
-3.07E+05 |
|
1100 |
143000 |
0.698182181 |
4.55E+05 |
0.014174074 |
-3.12E+05 |
|
1110 |
143000 |
0.704529292 |
4.61E+05 |
0.014165846 |
-3.18E+05 |
|
1120 |
143000 |
0.710876403 |
4.67E+05 |
0.014157817 |
-3.24E+05 |
|
1130 |
143000 |
0.717223513 |
4.72E+05 |
0.014149979 |
-3.29E+05 |
|
1140 |
143000 |
0.723570624 |
4.78E+05 |
0.014142326 |
-3.35E+05 |
|
1150 |
143000 |
0.729917735 |
4.84E+05 |
0.01413485 |
-3.41E+05 |
|
1160 |
143000 |
0.736264846 |
4.89E+05 |
0.014127547 |
-3.46E+05 |
|
1170 |
143000 |
0.742611956 |
4.95E+05 |
0.01412041 |
-3.52E+05 |
|
1180 |
143000 |
0.748959067 |
5.01E+05 |
0.014113433 |
-3.58E+05 |
|
1190 |
143000 |
0.755306178 |
5.06E+05 |
0.014106612 |
-3.63E+05 |
|
1200 |
143000 |
0.761653289 |
5.12E+05 |
0.014099941 |
-3.69E+05 |
|
1210 |
143000 |
0.768000399 |
5.18E+05 |
0.014093415 |
-3.75E+05 |
|
1220 |
143000 |
0.77434751 |
5.23E+05 |
0.014087029 |
-3.80E+05 |
|
1230 |
143000 |
0.780694621 |
5.29E+05 |
0.014080779 |
-3.86E+05 |
|
1240 |
143000 |
0.787041732 |
5.35E+05 |
0.014074662 |
-3.92E+05 |
|
1250 |
143000 |
0.793388842 |
5.40E+05 |
0.014068671 |
-3.97E+05 |
|
1260 |
143000 |
0.799735953 |
5.46E+05 |
0.014062804 |
-4.03E+05 |
|
1270 |
143000 |
0.806083064 |
5.52E+05 |
0.014057057 |
-4.09E+05 |
|
1280 |
143000 |
0.812430175 |
5.57E+05 |
0.014051427 |
-4.14E+05 |
|
1290 |
143000 |
0.818777285 |
5.63E+05 |
0.014045909 |
-4.20E+05 |
|
1300 |
143000 |
0.825124396 |
5.69E+05 |
0.0140405 |
-4.26E+05 |
|
1310 |
143000 |
0.831471507 |
5.74E+05 |
0.014035198 |
-4.31E+05 |
|
1320 |
143000 |
0.837818618 |
5.80E+05 |
0.014029998 |
-4.37E+05 |
|
1330 |
143000 |
0.844165728 |
5.86E+05 |
0.014024899 |
-4.43E+05 |
|
1340 |
143000 |
0.850512839 |
5.91E+05 |
0.014019896 |
-4.48E+05 |
|
1350 |
143000 |
0.85685995 |
5.97E+05 |
0.014014989 |
-4.54E+05 |
|
1360 |
143000 |
0.86320706 |
6.03E+05 |
0.014010173 |
-4.60E+05 |
|
1370 |
143000 |
0.869554171 |
6.08E+05 |
0.014005446 |
-4.65E+05 |
|
1380 |
143000 |
0.875901282 |
6.14E+05 |
0.014000806 |
-4.71E+05 |
|
1390 |
143000 |
0.882248393 |
6.20E+05 |
0.013996251 |
-4.77E+05 |
|
1400 |
143000 |
0.888595503 |
6.25E+05 |
0.013991777 |
-4.82E+05 |
|
1410 |
143000 |
0.894942614 |
6.31E+05 |
0.013987384 |
-4.88E+05 |
|
1420 |
143000 |
0.901289725 |
6.36E+05 |
0.013983068 |
-4.93E+05 |
|
1430 |
143000 |
0.907636836 |
6.42E+05 |
0.013978829 |
-4.99E+05 |
|
1440 |
143000 |
0.913983946 |
6.48E+05 |
0.013974663 |
-5.05E+05 |
|
1450 |
143000 |
0.920331057 |
6.53E+05 |
0.013970568 |
-5.10E+05 |
|
1460 |
143000 |
0.926678168 |
6.59E+05 |
0.013966544 |
-5.16E+05 |
|
1470 |
143000 |
0.933025279 |
6.65E+05 |
0.013962588 |
-5.22E+05 |
|
1480 |
143000 |
0.939372389 |
6.70E+05 |
0.013958699 |
-5.27E+05 |
|
1490 |
143000 |
0.9457195 |
6.76E+05 |
0.013954874 |
-5.33E+05 |
|
1500 |
143000 |
0.952066611 |
6.82E+05 |
0.013951113 |
-5.39E+05 |
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