A---k1-->B---k2--->C Pocatecni koncentrace time_step 2.00E-02 s k1 0.3 s-1 A0 1 mol l-1 k2 0.1 s-1 B0 0 C0 0 d[B]/dt= k1*[A]-k2*[B]= -d[A]/dt=k1*[A] d[C]/dt=k2*B Numericke reseni: analyticke reseni [A(t+dt)]= [A(t) - dt k1 (A(t)] [B(t+dt)]= [B(t) + dt { k1 [(A(t)] - k2[B(t)]} [C(t+dt)]= [C(t) + dt k2 (B(t)] t/ s A/ M B/ M C/M Banalyt 0 1 0 0 0 2.00E-02 9.94E-01 5.96E-03 1.19E-05 5.98E-03 4.00E-02 9.88E-01 1.19E-02 3.57E-05 0.011904415 6.00E-02 9.82E-01 1.77E-02 7.12E-05 0.017785398 8.00E-02 9.76E-01 2.36E-02 1.18E-04 0.023619308 1.00E-01 9.70E-01 2.93E-02 1.77E-04 0.02940645 1.20E-01 9.65E-01 3.51E-02 2.47E-04 0.035147129 1.40E-01 9.59E-01 4.08E-02 3.29E-04 0.040841646 1.60E-01 9.53E-01 4.64E-02 4.21E-04 0.046490299 1.80E-01 9.47E-01 5.20E-02 5.25E-04 0.052093389 2.00E-01 9.42E-01 5.75E-02 6.40E-04 0.05765121 2.20E-01 9.36E-01 6.30E-02 7.67E-04 0.063164056 2.40E-01 9.30E-01 6.85E-02 9.04E-04 0.068632221 2.60E-01 9.25E-01 7.39E-02 1.05E-03 0.074055995 2.80E-01 9.19E-01 7.93E-02 1.21E-03 0.079435666 3.00E-01 9.14E-01 8.46E-02 1.38E-03 0.084771522 3.20E-01 9.08E-01 8.99E-02 1.56E-03 0.090063849 3.40E-01 9.03E-01 9.51E-02 1.75E-03 0.095312929 3.60E-01 8.97E-01 1.00E-01 1.95E-03 0.100519046 3.80E-01 8.92E-01 1.05E-01 2.16E-03 0.105682478 4.00E-01 8.87E-01 1.11E-01 2.38E-03 0.110803504 4.20E-01 8.81E-01 1.16E-01 2.61E-03 0.115882401 4.40E-01 8.76E-01 1.21E-01 2.85E-03 0.120919444 4.60E-01 8.71E-01 1.26E-01 3.11E-03 0.125914906 4.80E-01 8.66E-01 1.31E-01 3.37E-03 0.130869059 5.00E-01 8.60E-01 1.35E-01 3.64E-03 0.135782172 5.20E-01 8.55E-01 1.40E-01 3.92E-03 0.140654515 5.40E-01 8.50E-01 1.45E-01 4.21E-03 0.145486353 5.60E-01 8.45E-01 1.50E-01 4.51E-03 0.150277952 5.80E-01 8.40E-01 1.55E-01 4.82E-03 0.155029575 6.00E-01 8.35E-01 1.59E-01 5.14E-03 0.159741483 6.20E-01 8.30E-01 1.64E-01 5.46E-03 0.164413938 6.40E-01 8.25E-01 1.69E-01 5.80E-03 0.169047197 6.60E-01 8.20E-01 1.73E-01 6.15E-03 0.173641517 6.80E-01 8.15E-01 1.78E-01 6.50E-03 0.178197154 7.00E-01 8.10E-01 1.82E-01 6.87E-03 0.182714361 7.20E-01 8.05E-01 1.87E-01 7.24E-03 0.187193391 7.40E-01 8.00E-01 1.91E-01 7.62E-03 0.191634494 7.60E-01 7.96E-01 1.96E-01 8.02E-03 0.19603792 7.80E-01 7.91E-01 2.00E-01 8.42E-03 0.200403916 8.00E-01 7.86E-01 2.04E-01 8.82E-03 0.204732728 8.20E-01 7.81E-01 2.09E-01 9.24E-03 0.209024601 8.40E-01 7.77E-01 2.13E-01 9.67E-03 0.213279777 8.60E-01 7.72E-01 2.17E-01 1.01E-02 0.217498499 8.80E-01 7.67E-01 2.21E-01 1.05E-02 0.221681006 9.00E-01 7.63E-01 2.25E-01 1.10E-02 0.225827536 9.20E-01 7.58E-01 2.29E-01 1.15E-02 0.229938328 9.40E-01 7.54E-01 2.33E-01 1.19E-02 0.234013617 9.60E-01 7.49E-01 2.37E-01 1.24E-02 0.238053636 9.80E-01 7.45E-01 2.41E-01 1.29E-02 0.242058618 1.00E+00 7.40E-01 2.45E-01 1.34E-02 0.246028796 1.02E+00 7.36E-01 2.49E-01 1.39E-02 0.249964398 1.04E+00 7.31E-01 2.53E-01 1.44E-02 0.253865654 1.06E+00 7.27E-01 2.57E-01 1.49E-02 0.257732789 1.08E+00 7.23E-01 2.61E-01 1.54E-02 0.261566031 1.10E+00 7.18E-01 2.65E-01 1.59E-02 0.265365603 1.12E+00 7.14E-01 2.68E-01 1.65E-02 0.269131728 1.14E+00 7.10E-01 2.72E-01 1.70E-02 0.272864627 1.16E+00 7.05E-01 2.76E-01 1.76E-02 0.276564521 1.18E+00 7.01E-01 2.80E-01 1.81E-02 0.280231628 1.20E+00 6.97E-01 2.83E-01 1.87E-02 0.283866166 1.22E+00 6.93E-01 2.87E-01 1.93E-02 0.287468351 1.24E+00 6.89E-01 2.90E-01 1.99E-02 0.291038398 1.26E+00 6.84E-01 2.94E-01 2.04E-02 0.294576519 1.28E+00 6.80E-01 2.97E-01 2.10E-02 0.298082928 1.30E+00 6.76E-01 3.01E-01 2.16E-02 0.301557835 1.32E+00 6.72E-01 3.04E-01 2.22E-02 0.305001449 1.34E+00 6.68E-01 3.08E-01 2.29E-02 0.308413978 1.36E+00 6.64E-01 3.11E-01 2.35E-02 0.31179563 1.38E+00 6.60E-01 3.14E-01 2.41E-02 0.315146611 1.40E+00 6.56E-01 3.18E-01 2.47E-02 0.318467123 1.42E+00 6.52E-01 3.21E-01 2.54E-02 0.321757372 1.44E+00 6.48E-01 3.24E-01 2.60E-02 0.325017557 1.46E+00 6.44E-01 3.27E-01 2.67E-02 0.32824788 1.48E+00 6.41E-01 3.31E-01 2.73E-02 0.331448541 1.50E+00 6.37E-01 3.34E-01 2.80E-02 0.334619737 1.52E+00 6.33E-01 3.37E-01 2.87E-02 0.337761665 1.54E+00 6.29E-01 3.40E-01 2.94E-02 0.340874522 1.56E+00 6.25E-01 3.43E-01 3.01E-02 0.3439585 1.58E+00 6.22E-01 3.46E-01 3.07E-02 0.347013794 1.60E+00 6.18E-01 3.49E-01 3.14E-02 0.350040596 1.62E+00 6.14E-01 3.52E-01 3.22E-02 0.353039096 1.64E+00 6.10E-01 3.55E-01 3.29E-02 0.356009484 1.66E+00 6.07E-01 3.58E-01 3.36E-02 0.358951949 1.68E+00 6.03E-01 3.61E-01 3.43E-02 0.361866678 1.70E+00 6.00E-01 3.64E-01 3.50E-02 0.364753857 1.72E+00 5.96E-01 3.67E-01 3.58E-02 0.367613671 1.74E+00 5.92E-01 3.69E-01 3.65E-02 0.370446304 1.76E+00 5.89E-01 3.72E-01 3.72E-02 0.373251939 1.78E+00 5.85E-01 3.75E-01 3.80E-02 0.376030757 1.80E+00 5.82E-01 3.78E-01 3.87E-02 0.378782939 1.82E+00 5.78E-01 3.80E-01 3.95E-02 0.381508664 1.84E+00 5.75E-01 3.83E-01 4.03E-02 0.38420811 1.86E+00 5.71E-01 3.86E-01 4.10E-02 0.386881455 1.88E+00 5.68E-01 3.88E-01 4.18E-02 0.389528874 1.90E+00 5.65E-01 3.91E-01 4.26E-02 0.392150543 1.92E+00 5.61E-01 3.94E-01 4.34E-02 0.394746635 1.94E+00 5.58E-01 3.96E-01 4.42E-02 0.397317323 1.96E+00 5.54E-01 3.99E-01 4.50E-02 0.399862779 1.98E+00 5.51E-01 4.01E-01 4.58E-02 0.402383173 2.00E+00 5.48E-01 4.04E-01 4.66E-02 0.404878675 2.02E+00 5.45E-01 4.06E-01 4.74E-02 0.407349454 2.04E+00 5.41E-01 4.09E-01 4.82E-02 0.409795677 2.06E+00 5.38E-01 4.11E-01 4.90E-02 0.41221751 2.08E+00 5.35E-01 4.13E-01 4.99E-02 0.414615119 2.10E+00 5.32E-01 4.16E-01 5.07E-02 0.416988667 2.12E+00 5.28E-01 4.18E-01 5.15E-02 0.41933832 2.14E+00 5.25E-01 4.20E-01 5.24E-02 0.421664238 2.16E+00 5.22E-01 4.23E-01 5.32E-02 0.423966583 2.18E+00 5.19E-01 4.25E-01 5.41E-02 0.426245516 2.20E+00 5.16E-01 4.27E-01 5.49E-02 0.428501195 2.22E+00 5.13E-01 4.29E-01 5.58E-02 0.43073378 2.24E+00 5.10E-01 4.32E-01 5.66E-02 0.432943427 2.26E+00 5.07E-01 4.34E-01 5.75E-02 0.435130292 2.28E+00 5.04E-01 4.36E-01 5.84E-02 0.437294532 2.30E+00 5.01E-01 4.38E-01 5.93E-02 0.4394363 2.32E+00 4.98E-01 4.40E-01 6.01E-02 0.44155575 2.34E+00 4.95E-01 4.42E-01 6.10E-02 0.443653035 2.36E+00 4.92E-01 4.44E-01 6.19E-02 0.445728306 2.38E+00 4.89E-01 4.46E-01 6.28E-02 0.447781714 2.40E+00 4.86E-01 4.48E-01 6.37E-02 0.449813408 2.42E+00 4.83E-01 4.50E-01 6.46E-02 0.451823537 2.44E+00 4.80E-01 4.52E-01 6.55E-02 0.453812248 2.46E+00 4.77E-01 4.54E-01 6.64E-02 0.45577969 2.48E+00 4.74E-01 4.56E-01 6.73E-02 0.457726007 2.50E+00 4.71E-01 4.58E-01 6.83E-02 0.459651345 2.52E+00 4.68E-01 4.60E-01 6.92E-02 0.461555849 2.54E+00 4.66E-01 4.62E-01 7.01E-02 0.46343966 2.56E+00 4.63E-01 4.64E-01 7.10E-02 0.465302922 2.58E+00 4.60E-01 4.66E-01 7.20E-02 0.467145775 2.60E+00 4.57E-01 4.67E-01 7.29E-02 0.468968362 2.62E+00 4.55E-01 4.69E-01 7.38E-02 0.47077082 2.64E+00 4.52E-01 4.71E-01 7.48E-02 0.47255329 2.66E+00 4.49E-01 4.73E-01 7.57E-02 0.474315909 2.68E+00 4.46E-01 4.75E-01 7.67E-02 0.476058814 2.70E+00 4.44E-01 4.76E-01 7.76E-02 0.477782142 2.72E+00 4.41E-01 4.78E-01 7.86E-02 0.479486028 2.74E+00 4.38E-01 4.80E-01 7.95E-02 0.481170606 2.76E+00 4.36E-01 4.81E-01 8.05E-02 0.48283601 2.78E+00 4.33E-01 4.83E-01 8.15E-02 0.484482373 2.80E+00 4.31E-01 4.85E-01 8.24E-02 0.486109827 2.82E+00 4.28E-01 4.86E-01 8.34E-02 0.487718503 2.84E+00 4.25E-01 4.88E-01 8.44E-02 0.489308533 2.86E+00 4.23E-01 4.89E-01 8.54E-02 0.490880044 2.88E+00 4.20E-01 4.91E-01 8.63E-02 0.492433166 2.90E+00 4.18E-01 4.92E-01 8.73E-02 0.493968027 2.92E+00 4.15E-01 4.94E-01 8.83E-02 0.495484755 2.94E+00 4.13E-01 4.95E-01 8.93E-02 0.496983475 2.96E+00 4.10E-01 4.97E-01 9.03E-02 0.498464313 2.98E+00 4.08E-01 4.98E-01 9.13E-02 0.499927394 3.00E+00 4.05E-01 5.00E-01 9.23E-02 0.501372841 3.02E+00 4.03E-01 5.01E-01 9.33E-02 0.502800779 3.04E+00 4.01E-01 5.02E-01 9.43E-02 0.50421133 3.06E+00 3.98E-01 5.04E-01 9.53E-02 0.505604614 3.08E+00 3.96E-01 5.05E-01 9.63E-02 0.506980754 3.10E+00 3.93E-01 5.07E-01 9.73E-02 0.508339869 3.12E+00 3.91E-01 5.08E-01 9.83E-02 0.509682079 3.14E+00 3.89E-01 5.09E-01 9.94E-02 0.511007502 3.16E+00 3.86E-01 5.11E-01 1.00E-01 0.512316256 3.18E+00 3.84E-01 5.12E-01 1.01E-01 0.513608459 3.20E+00 3.82E-01 5.13E-01 1.02E-01 0.514884227 3.22E+00 3.79E-01 5.14E-01 1.03E-01 0.516143675 3.24E+00 3.77E-01 5.16E-01 1.04E-01 0.517386919 3.26E+00 3.75E-01 5.17E-01 1.06E-01 0.518614073 3.28E+00 3.73E-01 5.18E-01 1.07E-01 0.51982525 3.30E+00 3.70E-01 5.19E-01 1.08E-01 0.521020564 3.32E+00 3.68E-01 5.20E-01 1.09E-01 0.522200125 3.34E+00 3.66E-01 5.22E-01 1.10E-01 0.523364047 3.36E+00 3.64E-01 5.23E-01 1.11E-01 0.524512439 3.38E+00 3.62E-01 5.24E-01 1.12E-01 0.525645412 3.40E+00 3.59E-01 5.25E-01 1.13E-01 0.526763074 3.42E+00 3.57E-01 5.26E-01 1.14E-01 0.527865535 3.44E+00 3.55E-01 5.27E-01 1.15E-01 0.528952902 3.46E+00 3.53E-01 5.28E-01 1.16E-01 0.530025283 3.48E+00 3.51E-01 5.29E-01 1.17E-01 0.531082784 3.50E+00 3.49E-01 5.30E-01 1.18E-01 0.532125511 3.52E+00 3.47E-01 5.31E-01 1.19E-01 0.53315357 3.54E+00 3.45E-01 5.32E-01 1.20E-01 0.534167064 3.56E+00 3.43E-01 5.33E-01 1.21E-01 0.535166099 3.58E+00 3.41E-01 5.34E-01 1.22E-01 0.536150777 3.60E+00 3.38E-01 5.35E-01 1.23E-01 0.537121201 3.62E+00 3.36E-01 5.36E-01 1.25E-01 0.538077472 3.64E+00 3.34E-01 5.37E-01 1.26E-01 0.539019693 3.66E+00 3.32E-01 5.38E-01 1.27E-01 0.539947964 3.68E+00 3.30E-01 5.39E-01 1.28E-01 0.540862384 3.70E+00 3.28E-01 5.40E-01 1.29E-01 0.541763054 3.72E+00 3.26E-01 5.41E-01 1.30E-01 0.542650073 3.74E+00 3.25E-01 5.42E-01 1.31E-01 0.543523537 3.76E+00 3.23E-01 5.42E-01 1.32E-01 0.544383545 3.78E+00 3.21E-01 5.43E-01 1.33E-01 0.545230195 3.80E+00 3.19E-01 5.44E-01 1.34E-01 0.546063581 3.82E+00 3.17E-01 5.45E-01 1.35E-01 0.5468838 3.84E+00 3.15E-01 5.46E-01 1.36E-01 0.547690948 3.86E+00 3.13E-01 5.46E-01 1.38E-01 0.548485118 3.88E+00 3.11E-01 5.47E-01 1.39E-01 0.549266404 3.90E+00 3.09E-01 5.48E-01 1.40E-01 0.5500349 3.92E+00 3.07E-01 5.49E-01 1.41E-01 0.550790698 3.94E+00 3.06E-01 5.49E-01 1.42E-01 0.551533891 3.96E+00 3.04E-01 5.50E-01 1.43E-01 0.552264571 3.98E+00 3.02E-01 5.51E-01 1.44E-01 0.552982827 4.00E+00 3.00E-01 5.52E-01 1.45E-01 0.553688751 4.02E+00 2.98E-01 5.52E-01 1.46E-01 0.554382433 4.04E+00 2.97E-01 5.53E-01 1.47E-01 0.555063961 4.06E+00 2.95E-01 5.54E-01 1.49E-01 0.555733424 4.08E+00 2.93E-01 5.54E-01 1.50E-01 0.556390911 4.10E+00 2.91E-01 5.55E-01 1.51E-01 0.557036509 4.12E+00 2.89E-01 5.56E-01 1.52E-01 0.557670305 4.14E+00 2.88E-01 5.56E-01 1.53E-01 0.558292385 4.16E+00 2.86E-01 5.57E-01 1.54E-01 0.558902836 4.18E+00 2.84E-01 5.57E-01 1.55E-01 0.559501743 4.20E+00 2.83E-01 5.58E-01 1.56E-01 0.56008919 4.22E+00 2.81E-01 5.58E-01 1.57E-01 0.560665262 4.24E+00 2.79E-01 5.59E-01 1.59E-01 0.561230043 4.26E+00 2.78E-01 5.60E-01 1.60E-01 0.561783616 4.28E+00 2.76E-01 5.60E-01 1.61E-01 0.562326063 4.30E+00 2.74E-01 5.61E-01 1.62E-01 0.562857467 4.32E+00 2.73E-01 5.61E-01 1.63E-01 0.56337791 4.34E+00 2.71E-01 5.62E-01 1.64E-01 0.563887472 4.36E+00 2.69E-01 5.62E-01 1.65E-01 0.564386234 4.38E+00 2.68E-01 5.63E-01 1.66E-01 0.564874277 4.40E+00 2.66E-01 5.63E-01 1.68E-01 0.565351679 4.42E+00 2.64E-01 5.64E-01 1.69E-01 0.56581852 4.44E+00 2.63E-01 5.64E-01 1.70E-01 0.566274878 4.46E+00 2.61E-01 5.64E-01 1.71E-01 0.566720832 4.48E+00 2.60E-01 5.65E-01 1.72E-01 0.567156459 4.50E+00 2.58E-01 5.65E-01 1.73E-01 0.567581836 4.52E+00 2.57E-01 5.66E-01 1.74E-01 0.56799704 4.54E+00 2.55E-01 5.66E-01 1.75E-01 0.568402147 4.56E+00 2.54E-01 5.67E-01 1.77E-01 0.568797233 4.58E+00 2.52E-01 5.67E-01 1.78E-01 0.569182372 4.60E+00 2.51E-01 5.67E-01 1.79E-01 0.569557639 4.62E+00 2.49E-01 5.68E-01 1.80E-01 0.569923108 4.64E+00 2.48E-01 5.68E-01 1.81E-01 0.570278854 4.66E+00 2.46E-01 5.68E-01 1.82E-01 0.570624949 4.68E+00 2.45E-01 5.69E-01 1.83E-01 0.570961466 4.70E+00 2.43E-01 5.69E-01 1.85E-01 0.571288478 4.72E+00 2.42E-01 5.69E-01 1.86E-01 0.571606055 4.74E+00 2.40E-01 5.70E-01 1.87E-01 0.571914271 4.76E+00 2.39E-01 5.70E-01 1.88E-01 0.572213195 4.78E+00 2.37E-01 5.70E-01 1.89E-01 0.572502898 4.80E+00 2.36E-01 5.70E-01 1.90E-01 0.57278345 4.82E+00 2.34E-01 5.71E-01 1.91E-01 0.57305492 4.84E+00 2.33E-01 5.71E-01 1.93E-01 0.573317378 4.86E+00 2.32E-01 5.71E-01 1.94E-01 0.573570893 4.88E+00 2.30E-01 5.71E-01 1.95E-01 0.573815532 4.90E+00 2.29E-01 5.72E-01 1.96E-01 0.574051363 4.92E+00 2.28E-01 5.72E-01 1.97E-01 0.574278455 4.94E+00 2.26E-01 5.72E-01 1.98E-01 0.574496873 4.96E+00 2.25E-01 5.72E-01 1.99E-01 0.574706684 4.98E+00 2.23E-01 5.73E-01 2.01E-01 0.574907954 5.00E+00 2.22E-01 5.73E-01 2.02E-01 0.575100749 5.02E+00 2.21E-01 5.73E-01 2.03E-01 0.575285135 5.04E+00 2.19E-01 5.73E-01 2.04E-01 0.575461175 5.06E+00 2.18E-01 5.73E-01 2.05E-01 0.575628935 5.08E+00 2.17E-01 5.73E-01 2.06E-01 0.575788477 5.10E+00 2.16E-01 5.74E-01 2.07E-01 0.575939867 5.12E+00 2.14E-01 5.74E-01 2.09E-01 0.576083167 5.14E+00 2.13E-01 5.74E-01 2.10E-01 0.57621844 5.16E+00 2.12E-01 5.74E-01 2.11E-01 0.576345747 5.18E+00 2.10E-01 5.74E-01 2.12E-01 0.576465152 5.20E+00 2.09E-01 5.74E-01 2.13E-01 0.576576715 5.22E+00 2.08E-01 5.74E-01 2.14E-01 0.576680498 5.24E+00 2.07E-01 5.74E-01 2.15E-01 0.576776562 5.26E+00 2.05E-01 5.74E-01 2.17E-01 0.576864966 5.28E+00 2.04E-01 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1.86E+01 3.71E-03 2.26E-01 7.65E-01 0.227850097 1.86E+01 3.69E-03 2.26E-01 7.65E-01 0.227417398 1.86E+01 3.67E-03 2.25E-01 7.66E-01 0.226985427 1.87E+01 3.64E-03 2.25E-01 7.66E-01 0.226554186 1.87E+01 3.62E-03 2.24E-01 7.66E-01 0.226123674 1.87E+01 3.60E-03 2.24E-01 7.67E-01 0.225693889 1.87E+01 3.58E-03 2.24E-01 7.67E-01 0.225264831 1.87E+01 3.56E-03 2.23E-01 7.68E-01 0.224836499 1.88E+01 3.54E-03 2.23E-01 7.68E-01 0.224408893 1.88E+01 3.51E-03 2.22E-01 7.69E-01 0.223982012 1.88E+01 3.49E-03 2.22E-01 7.69E-01 0.223555856 1.88E+01 3.47E-03 2.21E-01 7.70E-01 0.223130423 1.88E+01 3.45E-03 2.21E-01 7.70E-01 0.222705713 1.89E+01 3.43E-03 2.21E-01 7.70E-01 0.222281726 1.89E+01 3.41E-03 2.20E-01 7.71E-01 0.22185846 1.89E+01 3.39E-03 2.20E-01 7.71E-01 0.221435915 1.89E+01 3.37E-03 2.19E-01 7.72E-01 0.221014091 1.89E+01 3.35E-03 2.19E-01 7.72E-01 0.220592986 1.90E+01 3.33E-03 2.19E-01 7.73E-01 0.220172599 1.90E+01 3.31E-03 2.18E-01 7.73E-01 0.219752931 1.90E+01 3.29E-03 2.18E-01 7.73E-01 0.219333981 1.90E+01 3.27E-03 2.17E-01 7.74E-01 0.218915747 1.90E+01 3.25E-03 2.17E-01 7.74E-01 0.218498229 1.91E+01 3.23E-03 2.16E-01 7.75E-01 0.218081426 1.91E+01 3.21E-03 2.16E-01 7.75E-01 0.217665338 1.91E+01 3.19E-03 2.16E-01 7.76E-01 0.217249964 1.91E+01 3.17E-03 2.15E-01 7.76E-01 0.216835303 1.91E+01 3.15E-03 2.15E-01 7.77E-01 0.216421354 1.92E+01 3.13E-03 2.14E-01 7.77E-01 0.216008118 1.92E+01 3.12E-03 2.14E-01 7.77E-01 0.215595592 1.92E+01 3.10E-03 2.14E-01 7.78E-01 0.215183776 1.92E+01 3.08E-03 2.13E-01 7.78E-01 0.21477267 1.92E+01 3.06E-03 2.13E-01 7.79E-01 0.214362272 1.93E+01 3.04E-03 2.12E-01 7.79E-01 0.213952582 1.93E+01 3.02E-03 2.12E-01 7.79E-01 0.2135436 1.93E+01 3.01E-03 2.12E-01 7.80E-01 0.213135324 1.93E+01 2.99E-03 2.11E-01 7.80E-01 0.212727754 1.93E+01 2.97E-03 2.11E-01 7.81E-01 0.212320889 1.94E+01 2.95E-03 2.10E-01 7.81E-01 0.211914729 1.94E+01 2.93E-03 2.10E-01 7.82E-01 0.211509271 1.94E+01 2.92E-03 2.09E-01 7.82E-01 0.211104517 1.94E+01 2.90E-03 2.09E-01 7.82E-01 0.210700464 1.94E+01 2.88E-03 2.09E-01 7.83E-01 0.210297113 1.95E+01 2.86E-03 2.08E-01 7.83E-01 0.209894462 1.95E+01 2.85E-03 2.08E-01 7.84E-01 0.209492511 1.95E+01 2.83E-03 2.07E-01 7.84E-01 0.209091259 1.95E+01 2.81E-03 2.07E-01 7.85E-01 0.208690704 1.95E+01 2.80E-03 2.07E-01 7.85E-01 0.208290848 1.96E+01 2.78E-03 2.06E-01 7.85E-01 0.207891687 1.96E+01 2.76E-03 2.06E-01 7.86E-01 0.207493223 1.96E+01 2.75E-03 2.06E-01 7.86E-01 0.207095453 1.96E+01 2.73E-03 2.05E-01 7.87E-01 0.206698378 1.96E+01 2.71E-03 2.05E-01 7.87E-01 0.206301996 1.97E+01 2.70E-03 2.04E-01 7.87E-01 0.205906307 1.97E+01 2.68E-03 2.04E-01 7.88E-01 0.20551131 1.97E+01 2.66E-03 2.04E-01 7.88E-01 0.205117004 1.97E+01 2.65E-03 2.03E-01 7.89E-01 0.204723388 1.97E+01 2.63E-03 2.03E-01 7.89E-01 0.204330462 1.98E+01 2.62E-03 2.02E-01 7.89E-01 0.203938224 1.98E+01 2.60E-03 2.02E-01 7.90E-01 0.203546674 1.98E+01 2.59E-03 2.02E-01 7.90E-01 0.203155811 1.98E+01 2.57E-03 2.01E-01 7.91E-01 0.202765635 1.98E+01 2.55E-03 2.01E-01 7.91E-01 0.202376144 1.99E+01 2.54E-03 2.00E-01 7.91E-01 0.201987338 1.99E+01 2.52E-03 2.00E-01 7.92E-01 0.201599215 1.99E+01 2.51E-03 2.00E-01 7.92E-01 0.201211776 1.99E+01 2.49E-03 1.99E-01 7.93E-01 0.200825019 1.99E+01 2.48E-03 1.99E-01 7.93E-01 0.200438943 2.00E+01 2.46E-03 1.99E-01 7.93E-01 0.200053548 2.00E+01 2.45E-03 1.98E-01 7.94E-01 0.199668833 2.00E+01 2.43E-03 1.98E-01 7.94E-01 0.199284797 2.00E+01 2.42E-03 1.97E-01 7.95E-01 0.198901438 2.00E+01 2.41E-03 1.97E-01 7.95E-01 0.198518758 2.01E+01 2.39E-03 1.97E-01 7.95E-01 0.198136753 2.01E+01 2.38E-03 1.96E-01 7.96E-01 0.197755425 2.01E+01 2.36E-03 1.96E-01 7.96E-01 0.197374771 2.01E+01 2.35E-03 1.95E-01 7.97E-01 0.196994791 2.01E+01 2.33E-03 1.95E-01 7.97E-01 0.196615485 2.02E+01 2.32E-03 1.95E-01 7.97E-01 0.196236851 2.02E+01 2.31E-03 1.94E-01 7.98E-01 0.195858888 2.02E+01 2.29E-03 1.94E-01 7.98E-01 0.195481596 2.02E+01 2.28E-03 1.94E-01 7.99E-01 0.195104974 2.02E+01 2.26E-03 1.93E-01 7.99E-01 0.194729021 2.03E+01 2.25E-03 1.93E-01 7.99E-01 0.194353737 2.03E+01 2.24E-03 1.92E-01 8.00E-01 0.193979119 2.03E+01 2.22E-03 1.92E-01 8.00E-01 0.193605168 2.03E+01 2.21E-03 1.92E-01 8.00E-01 0.193231883 2.03E+01 2.20E-03 1.91E-01 8.01E-01 0.192859263 2.04E+01 2.18E-03 1.91E-01 8.01E-01 0.192487306 2.04E+01 2.17E-03 1.91E-01 8.02E-01 0.192116013 2.04E+01 2.16E-03 1.90E-01 8.02E-01 0.191745382 2.04E+01 2.15E-03 1.90E-01 8.02E-01 0.191375413 2.04E+01 2.13E-03 1.90E-01 8.03E-01 0.191006104 2.05E+01 2.12E-03 1.89E-01 8.03E-01 0.190637455 2.05E+01 2.11E-03 1.89E-01 8.03E-01 0.190269465 2.05E+01 2.09E-03 1.88E-01 8.04E-01 0.189902133 2.05E+01 2.08E-03 1.88E-01 8.04E-01 0.189535458 2.05E+01 2.07E-03 1.88E-01 8.05E-01 0.189169439 2.06E+01 2.06E-03 1.87E-01 8.05E-01 0.188804076 2.06E+01 2.04E-03 1.87E-01 8.05E-01 0.188439368 2.06E+01 2.03E-03 1.87E-01 8.06E-01 0.188075313 2.06E+01 2.02E-03 1.86E-01 8.06E-01 0.187711911 2.06E+01 2.01E-03 1.86E-01 8.06E-01 0.187349162 2.07E+01 2.00E-03 1.86E-01 8.07E-01 0.186987063 2.07E+01 1.98E-03 1.85E-01 8.07E-01 0.186625615 2.07E+01 1.97E-03 1.85E-01 8.08E-01 0.186264816 2.07E+01 1.96E-03 1.84E-01 8.08E-01 0.185904666 2.07E+01 1.95E-03 1.84E-01 8.08E-01 0.185545164 2.08E+01 1.94E-03 1.84E-01 8.09E-01 0.185186309 2.08E+01 1.93E-03 1.83E-01 8.09E-01 0.184828099 2.08E+01 1.91E-03 1.83E-01 8.09E-01 0.184470535 2.08E+01 1.90E-03 1.83E-01 8.10E-01 0.184113615 2.08E+01 1.89E-03 1.82E-01 8.10E-01 0.183757339 2.09E+01 1.88E-03 1.82E-01 8.11E-01 0.183401705 2.09E+01 1.87E-03 1.82E-01 8.11E-01 0.183046712 2.09E+01 1.86E-03 1.81E-01 8.11E-01 0.182692361 2.09E+01 1.85E-03 1.81E-01 8.12E-01 0.182338649 2.09E+01 1.83E-03 1.81E-01 8.12E-01 0.181985577 2.10E+01 1.82E-03 1.80E-01 8.12E-01 0.181633143 2.10E+01 1.81E-03 1.80E-01 8.13E-01 0.181281346 2.10E+01 1.80E-03 1.80E-01 8.13E-01 0.180930185 2.10E+01 1.79E-03 1.79E-01 8.13E-01 0.18057966 2.10E+01 1.78E-03 1.79E-01 8.14E-01 0.18022977 2.11E+01 1.77E-03 1.78E-01 8.14E-01 0.179880514 2.11E+01 1.76E-03 1.78E-01 8.14E-01 0.17953189 2.11E+01 1.75E-03 1.78E-01 8.15E-01 0.179183899 2.11E+01 1.74E-03 1.77E-01 8.15E-01 0.178836539 2.11E+01 1.73E-03 1.77E-01 8.16E-01 0.178489809 2.12E+01 1.72E-03 1.77E-01 8.16E-01 0.178143709 2.12E+01 1.71E-03 1.76E-01 8.16E-01 0.177798237 2.12E+01 1.70E-03 1.76E-01 8.17E-01 0.177453393 2.12E+01 1.69E-03 1.76E-01 8.17E-01 0.177109175 2.12E+01 1.68E-03 1.75E-01 8.17E-01 0.176765584 2.13E+01 1.67E-03 1.75E-01 8.18E-01 0.176422618 2.13E+01 1.66E-03 1.75E-01 8.18E-01 0.176080275 2.13E+01 1.65E-03 1.74E-01 8.18E-01 0.175738556 2.13E+01 1.64E-03 1.74E-01 8.19E-01 0.17539746 2.13E+01 1.63E-03 1.74E-01 8.19E-01 0.175056985 2.14E+01 1.62E-03 1.73E-01 8.19E-01 0.174717131 ##### Sheet/List 2 ##### "A---k1,k-1-->B---k2--->C" Pocatecni koncentrace time_step 2.00E-02 s k1 0.3 s-1 A0 1 mol l-1 k2 0.1 s-1 B0 0 k-1= 0.15 s-1 C0 0 d[B]/dt= k1*[A]-k-1*[B]-k2*[B]= -d[A]/dt=k1*[A]-k-1*[B] d[C]/dt=k2*B Numericke reseni: [A(t+dt)]= [A(t)] - dt*(k1 (A(t)-k-1*B(t)] [B(t+dt)]= [B(t) + dt { k1 [(A(t)] - k2[B(t)]} [C(t+dt)]= [C(t) + dt k2 (B(t)] t/ s A/ M B/ M C/M A+B+C 0 1 0 0 1 2.00E-02 9.94E-01 6.00E-03 1.20E-05 1.000012 4.00E-02 9.88E-01 1.19E-02 3.59E-05 1.000023868 6.00E-02 9.82E-01 1.78E-02 7.15E-05 1.000035605 8.00E-02 9.76E-01 2.36E-02 1.19E-04 1.000047213 1.00E-01 9.71E-01 2.93E-02 1.77E-04 1.000058693 1.20E-01 9.65E-01 3.50E-02 2.47E-04 1.000070046 1.40E-01 9.59E-01 4.06E-02 3.29E-04 1.000081273 1.60E-01 9.53E-01 4.62E-02 4.21E-04 1.000092376 1.80E-01 9.48E-01 5.17E-02 5.24E-04 1.000103356 2.00E-01 9.42E-01 5.71E-02 6.39E-04 1.000114214 2.20E-01 9.37E-01 6.25E-02 7.64E-04 1.000124952 2.40E-01 9.31E-01 6.78E-02 8.99E-04 1.00013557 2.60E-01 9.26E-01 7.30E-02 1.05E-03 1.000146069 2.80E-01 9.21E-01 7.82E-02 1.20E-03 1.000156452 3.00E-01 9.15E-01 8.34E-02 1.37E-03 1.000166718 3.20E-01 9.10E-01 8.84E-02 1.55E-03 1.00017687 3.40E-01 9.05E-01 9.35E-02 1.73E-03 1.000186908 3.60E-01 9.00E-01 9.84E-02 1.93E-03 1.000196833 3.80E-01 8.95E-01 1.03E-01 2.14E-03 1.000206647 4.00E-01 8.90E-01 1.08E-01 2.35E-03 1.000216351 4.20E-01 8.85E-01 1.13E-01 2.58E-03 1.000225945 4.40E-01 8.80E-01 1.18E-01 2.81E-03 1.000235432 4.60E-01 8.75E-01 1.22E-01 3.06E-03 1.000244811 4.80E-01 8.70E-01 1.27E-01 3.31E-03 1.000254084 5.00E-01 8.65E-01 1.32E-01 3.58E-03 1.000263253 5.20E-01 8.60E-01 1.36E-01 3.85E-03 1.000272317 5.40E-01 8.56E-01 1.41E-01 4.13E-03 1.000281279 5.60E-01 8.51E-01 1.45E-01 4.42E-03 1.000290139 5.80E-01 8.46E-01 1.49E-01 4.72E-03 1.000298898 6.00E-01 8.42E-01 1.54E-01 5.03E-03 1.000307557 6.20E-01 8.37E-01 1.58E-01 5.34E-03 1.000316117 6.40E-01 8.32E-01 1.62E-01 5.67E-03 1.000324579 6.60E-01 8.28E-01 1.66E-01 6.00E-03 1.000332945 6.80E-01 8.23E-01 1.71E-01 6.34E-03 1.000341215 7.00E-01 8.19E-01 1.75E-01 6.69E-03 1.000349389 7.20E-01 8.15E-01 1.79E-01 7.05E-03 1.00035747 7.40E-01 8.10E-01 1.83E-01 7.41E-03 1.000365457 7.60E-01 8.06E-01 1.87E-01 7.79E-03 1.000373353 7.80E-01 8.02E-01 1.91E-01 8.17E-03 1.000381157 8.00E-01 7.97E-01 1.94E-01 8.56E-03 1.000388871 8.20E-01 7.93E-01 1.98E-01 8.95E-03 1.000396495 8.40E-01 7.89E-01 2.02E-01 9.36E-03 1.000404031 8.60E-01 7.85E-01 2.06E-01 9.77E-03 1.000411479 8.80E-01 7.81E-01 2.09E-01 1.02E-02 1.000418841 9.00E-01 7.77E-01 2.13E-01 1.06E-02 1.000426116 9.20E-01 7.73E-01 2.17E-01 1.10E-02 1.000433307 9.40E-01 7.69E-01 2.20E-01 1.15E-02 1.000440413 9.60E-01 7.65E-01 2.24E-01 1.19E-02 1.000447436 9.80E-01 7.61E-01 2.27E-01 1.24E-02 1.000454376 1.00E+00 7.57E-01 2.31E-01 1.29E-02 1.000461235 1.02E+00 7.53E-01 2.34E-01 1.33E-02 1.000468013 1.04E+00 7.49E-01 2.37E-01 1.38E-02 1.00047471 1.06E+00 7.46E-01 2.41E-01 1.43E-02 1.000481329 1.08E+00 7.42E-01 2.44E-01 1.48E-02 1.000487869 1.10E+00 7.38E-01 2.47E-01 1.53E-02 1.000494331 1.12E+00 7.34E-01 2.50E-01 1.58E-02 1.000500716 1.14E+00 7.31E-01 2.54E-01 1.63E-02 1.000507025 1.16E+00 7.27E-01 2.57E-01 1.68E-02 1.000513259 1.18E+00 7.24E-01 2.60E-01 1.73E-02 1.000519418 1.20E+00 7.20E-01 2.63E-01 1.78E-02 1.000525503 1.22E+00 7.16E-01 2.66E-01 1.84E-02 1.000531515 1.24E+00 7.13E-01 2.69E-01 1.89E-02 1.000537454 1.26E+00 7.09E-01 2.72E-01 1.94E-02 1.000543322 1.28E+00 7.06E-01 2.75E-01 2.00E-02 1.000549119 1.30E+00 7.03E-01 2.77E-01 2.05E-02 1.000554845 1.32E+00 6.99E-01 2.80E-01 2.11E-02 1.000560502 1.34E+00 6.96E-01 2.83E-01 2.17E-02 1.00056609 1.36E+00 6.93E-01 2.86E-01 2.22E-02 1.00057161 1.38E+00 6.89E-01 2.89E-01 2.28E-02 1.000577062 1.40E+00 6.86E-01 2.91E-01 2.34E-02 1.000582448 1.42E+00 6.83E-01 2.94E-01 2.40E-02 1.000587767 1.44E+00 6.80E-01 2.97E-01 2.46E-02 1.000593021 1.46E+00 6.76E-01 2.99E-01 2.52E-02 1.00059821 1.48E+00 6.73E-01 3.02E-01 2.58E-02 1.000603334 1.50E+00 6.70E-01 3.04E-01 2.64E-02 1.000608396 1.52E+00 6.67E-01 3.07E-01 2.70E-02 1.000613394 1.54E+00 6.64E-01 3.09E-01 2.76E-02 1.00061833 1.56E+00 6.61E-01 3.12E-01 2.82E-02 1.000623204 1.58E+00 6.58E-01 3.14E-01 2.89E-02 1.000628018 1.60E+00 6.55E-01 3.16E-01 2.95E-02 1.000632771 1.62E+00 6.52E-01 3.19E-01 3.01E-02 1.000637464 1.64E+00 6.49E-01 3.21E-01 3.08E-02 1.000642098 1.66E+00 6.46E-01 3.23E-01 3.14E-02 1.000646673 1.68E+00 6.43E-01 3.26E-01 3.21E-02 1.00065119 1.70E+00 6.40E-01 3.28E-01 3.27E-02 1.00065565 1.72E+00 6.37E-01 3.30E-01 3.34E-02 1.000660053 1.74E+00 6.34E-01 3.32E-01 3.41E-02 1.000664399 1.76E+00 6.32E-01 3.34E-01 3.47E-02 1.00066869 1.78E+00 6.29E-01 3.36E-01 3.54E-02 1.000672926 1.80E+00 6.26E-01 3.39E-01 3.61E-02 1.000677107 1.82E+00 6.23E-01 3.41E-01 3.68E-02 1.000681234 1.84E+00 6.21E-01 3.43E-01 3.74E-02 1.000685307 1.86E+00 6.18E-01 3.45E-01 3.81E-02 1.000689328 1.88E+00 6.15E-01 3.47E-01 3.88E-02 1.000693296 1.90E+00 6.13E-01 3.49E-01 3.95E-02 1.000697212 1.92E+00 6.10E-01 3.51E-01 4.02E-02 1.000701077 1.94E+00 6.07E-01 3.52E-01 4.09E-02 1.000704891 1.96E+00 6.05E-01 3.54E-01 4.16E-02 1.000708654 1.98E+00 6.02E-01 3.56E-01 4.24E-02 1.000712368 2.00E+00 6.00E-01 3.58E-01 4.31E-02 1.000716032 2.02E+00 5.97E-01 3.60E-01 4.38E-02 1.000719647 2.04E+00 5.95E-01 3.62E-01 4.45E-02 1.000723215 2.06E+00 5.92E-01 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1.00040198 2.04E+01 1.26E-01 2.01E-01 6.73E-01 1.000401487 2.04E+01 1.26E-01 2.00E-01 6.74E-01 1.000400995 2.04E+01 1.26E-01 2.00E-01 6.74E-01 1.000400503 2.04E+01 1.26E-01 2.00E-01 6.75E-01 1.000400011 2.05E+01 1.26E-01 2.00E-01 6.75E-01 1.000399521 2.05E+01 1.25E-01 2.00E-01 6.75E-01 1.000399031 2.05E+01 1.25E-01 1.99E-01 6.76E-01 1.000398541 2.05E+01 1.25E-01 1.99E-01 6.76E-01 1.000398052 2.05E+01 1.25E-01 1.99E-01 6.77E-01 1.000397564 2.06E+01 1.25E-01 1.99E-01 6.77E-01 1.000397076 2.06E+01 1.25E-01 1.98E-01 6.77E-01 1.000396589 2.06E+01 1.25E-01 1.98E-01 6.78E-01 1.000396103 2.06E+01 1.24E-01 1.98E-01 6.78E-01 1.000395617 2.06E+01 1.24E-01 1.98E-01 6.79E-01 1.000395131 2.07E+01 1.24E-01 1.97E-01 6.79E-01 1.000394647 2.07E+01 1.24E-01 1.97E-01 6.79E-01 1.000394162 2.07E+01 1.24E-01 1.97E-01 6.80E-01 1.000393679 2.07E+01 1.24E-01 1.97E-01 6.80E-01 1.000393196 2.07E+01 1.23E-01 1.96E-01 6.81E-01 1.000392714 2.08E+01 1.23E-01 1.96E-01 6.81E-01 1.000392232 2.08E+01 1.23E-01 1.96E-01 6.81E-01 1.000391751 2.08E+01 1.23E-01 1.96E-01 6.82E-01 1.00039127 2.08E+01 1.23E-01 1.95E-01 6.82E-01 1.00039079 2.08E+01 1.23E-01 1.95E-01 6.83E-01 1.00039031 2.09E+01 1.23E-01 1.95E-01 6.83E-01 1.000389832 2.09E+01 1.22E-01 1.95E-01 6.83E-01 1.000389353 2.09E+01 1.22E-01 1.94E-01 6.84E-01 1.000388876 2.09E+01 1.22E-01 1.94E-01 6.84E-01 1.000388398 2.09E+01 1.22E-01 1.94E-01 6.84E-01 1.000387922 2.10E+01 1.22E-01 1.94E-01 6.85E-01 1.000387446 2.10E+01 1.22E-01 1.93E-01 6.85E-01 1.000386971 2.10E+01 1.22E-01 1.93E-01 6.86E-01 1.000386496 2.10E+01 1.21E-01 1.93E-01 6.86E-01 1.000386022 2.10E+01 1.21E-01 1.93E-01 6.86E-01 1.000385548 2.11E+01 1.21E-01 1.93E-01 6.87E-01 1.000385075 2.11E+01 1.21E-01 1.92E-01 6.87E-01 1.000384602 2.11E+01 1.21E-01 1.92E-01 6.88E-01 1.00038413 2.11E+01 1.21E-01 1.92E-01 6.88E-01 1.000383659 2.11E+01 1.20E-01 1.92E-01 6.88E-01 1.000383188 2.12E+01 1.20E-01 1.91E-01 6.89E-01 1.000382718 2.12E+01 1.20E-01 1.91E-01 6.89E-01 1.000382249 2.12E+01 1.20E-01 1.91E-01 6.89E-01 1.00038178 2.12E+01 1.20E-01 1.91E-01 6.90E-01 1.000381311 2.12E+01 1.20E-01 1.90E-01 6.90E-01 1.000380843 2.13E+01 1.20E-01 1.90E-01 6.91E-01 1.000380376 2.13E+01 1.19E-01 1.90E-01 6.91E-01 1.000379909 2.13E+01 1.19E-01 1.90E-01 6.91E-01 1.000379443 2.13E+01 1.19E-01 1.89E-01 6.92E-01 1.000378977 2.13E+01 1.19E-01 1.89E-01 6.92E-01 1.000378512 2.14E+01 1.19E-01 1.89E-01 6.92E-01 1.000378048 ##### Sheet/List 3 #####