{ "cells": [ { "cell_type": "markdown", "id": "190a12c8-65b7-43c0-af65-10689116b32d", "metadata": {}, "source": [ "# Energy balance for a laboratory equipment batch reactor for chemical synthesis" ] }, { "cell_type": "markdown", "id": "66daf4d9-d025-4e9a-9643-ddbc197a7b54", "metadata": {}, "source": [ "In this programming exercise you will also have from a chemical engineering point of view the task to develop the energy balance for a batch reactor. This is a task, we have not yet investigated in the lectures or group exercises. \n", "We consider the following Reaction taking place in a laboratory sized reactor using a liquid phase:\n", "\n", "$A→B$\n", "\n", "The setup is described in the following:\n", "\"Picture\"\n", "\n", "You can assume that the reaction order follows an elementary reaction and you have found in literature the rate velocity coefficient at 298 K to be 0.005 min-1. \n", "Please perform with help the following analysis:\n", "1. Calculate the conversion and the Temperature as a function of time under the assumption that the reactor is operated under adiabatic conditions starting with a temperature of 298 K. \n", "2. Repeat the calculations for the heated reactor. Here the heating bed will generate a constant temperature of 398 K. Plot the conversion and temperature of the reactor as function of the time\n", "3. Repeat the calculations for the reactor without reaction, in other words show how the reactor and the reactor mixture would behave as function of time assuming that no reaction takes place.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "569a4426-5c9e-4364-b5aa-b0b7748771cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.11009997384137497\n" ] }, { "data": { "text/html": [ "
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StartChangeEnd
A$$N_{A0}$$$$-1* N_{A0}* X$$$$N_{A0}*(ϴ_A+(-1* X))$$
B$$0$$$$1* N_{A0}* X$$$$1* N_{A0}* X$$
I$$N_{I0}$$$$0* N_{A0}* X$$$$N_{A0}*(ϴ_I+(0* X))$$
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" ], "text/plain": [ " Start Change End\n", "A $$N_{A0}$$ $$-1* N_{A0}* X$$ $$N_{A0}*(ϴ_A+(-1* X))$$\n", "B $$0$$ $$1* N_{A0}* X$$ $$1* N_{A0}* X$$\n", "I $$N_{I0}$$ $$0* N_{A0}* X$$ $$N_{A0}*(ϴ_I+(0* X))$$" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import math\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import solve_ivp\n", "#SI-units are used through the entire assigment\n", "HA_298 = -622960\n", "HB_298 = -380450\n", "CA0 = 15\n", "h1 = 0.05\n", "h2 = 0.05\n", "R_sphere = 0.1\n", "E = 25000\n", "R = 8.314\n", "CPliq = 77\n", "MWA = 0.28534\n", "U1 = 40000\n", "U2 = 5000\n", "Ntot0 = 140\n", "T0 = 298\n", "k_298 = 0.005/60\n", "#Volume of reactor is calculated:\n", "V_reactor = 4/3*math.pi*R_sphere**3\n", "#Half the reactor is filled with liquid, so:\n", "V = 0.5*V_reactor\n", "#From this the initial amount of A is found:\n", "NA0 = CA0*V/MWA\n", "print(NA0)\n", "#NA0=52.5688\n", "#A Stoiciometric table is made for the reaction\n", "species = [\"A\",\"B\", \"I\"]\n", "start = [\"N_{A0}\", \"0\", \"N_{I0}\"]\n", "coefficients = [\"-1\",\"1\", \"0\"]\n", "change = [\"$$\"+n+\"* N_{A0}* X$$\" for n in coefficients]\n", "# If the start concentration is zero, the end flow is the same as the change in flow:\n", "def endf(start,change,species,coefficients):\n", " end = [None] * len(start)\n", " for i in range(0,len(start)):\n", " if start[i] == \"0\":\n", " end[i] = change[i]\n", "# If this is not the case, the end flow is the difference between start and change (were Theta_J = F_J0/F_A0)\n", " else:\n", " end[i] = \"$$N_{A0}*(\\u03F4_\"+species[i]+\"+\"+\"(\"+coefficients[i]+\"* X))$$\"\n", " return(end)\n", "end = endf(start,change,species,coefficients)\n", "#The stoichiometric table is setup in a pandas data frame\n", "stoictable = pd.DataFrame(data={\"Start\":[\"$$\"+i+\"$$\" for i in start], \"Change\":change, \"End\":end}, index=species)\n", "stoictable" ] }, { "cell_type": "code", "execution_count": 2, "id": "98545d13-b0b7-44c3-95a6-4e369e2885ec", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First the three solutions are plotted until conversion is close to 1:\n", "Different time intervals are used for the first plot compared to the others\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Since the heat of reaction is positive, heat is consumed by the reaction, so we expect temperature to drop in the adiabatic case, which is what is observed\n" ] }, { "data": { "image/png": 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CY0iSOEdcnNhetd/du0C7dkD37uK2enXNfW7fBi5dAm7cEOW7cUMsVlZAQADQpo24dXUt/TrcvSuuQ4sWgL9/Ra9q+WVkAFFRopyNGgHVyvgvcfEicO2aeI1OTvotIxlWWhpga1v29wIAKJVASgpQqxYgk+mtaESGkJMj/g1SU8Xt40t6esHt4/dViyqoy84GPHEDg/A7HJs4Y+b5YcZ+eVWGTJIkydiFKCwiIgLdunUrsn7kyJFYvXo1Ro0ahbi4OERERGjsM3HiRMTGxsLDwwMzZ87EqFGjynzOW7duwdPTEzdv3oSHh4cOXkUpbt8G5s0D1q8H7t8vebunnhL/Nbdviy+PJ7G0BOrWFUHf9eulb+voCOTlif+8nBwRsJWmZk2gc2dxe/GiWLKynlwmQASfISHAoEEiWLSyEuuvXQMWLQJWrhQZTAB4+WXgo49EIKqSkQGsWycWS0txXZo3F7dubqIsZ88CZ86I24wMcQ7VYmsLNG0qgkd/f3H/v/9EUL1pE/D33+I6ACKD2qyZCDafegpo0gRo3FiURy4Xwe9vv4nl9OmCMjZtCnTsKJacHBEgx8aK26Qksb+vr1iaNRPbnD8PXLggbm/fBry8xHGaNBG3FhYigFYtN26IILRxYxGINm4sXtuVKwXL9evib9uwIeDjI27r1hV/X6USyM8Xf/eEBHH94+LEbWqquKYBAQVLaioQGVmwnD8v/v61axcs3t5AYKBYGjQQgY0kiWMePiyWrCzxAyEoSFxXVdB05w5w5Ahw9CiQnCz+Nu3aiVvVD5D4eBF8R0WJa/TUU6JsrVsDCoXYJikJOHFCLFevimvTqpVY6tQR29y7B8TEiOXSJaBePcDPD2jZEnB3F9clMlL80Ni+XWxXrZp4TY0aFSxNmojF3V281owMYPdu8V766y9RFhcXUT7VdczLK3g/xMYCt26Jv7XqWKq/9dWr4m949ap4ra6uBT/KfHzE++/aNbFcvSp+VDk6ijKqFoVCvE/i4sRy8yZgZyf+TvXqiVtHR3F81Y+ymzfFsb28ChZ3d8DGRvP/6O5dce1U//83bwL16xdc61atxHHOnAFOnRLLuXPi/WBjU7A4OYn3S4cO4lyqYDgzU7wXDh0Sx27VSvw/NW9e8MP14UPxd46MFNfK1xdo3178LVWfK9nZwL//imNduCCuX9u24ni2tmKb3FzxWREdLW49PMTfrFUr8WMYEH+3CxeAkyfFa3J0LPgMcXYueO/t3Ss+QyIixPvI07NgqVdPlLFFC7G/ytWr4j2zebP4H/D0FNuolpo1xQ9z1XL9uvh/a9BAXPP69cXf9dYtca1u3RJ/U4VC/TfMdvVChoU9Hly9g/w4sZ1lwm08hDXu2Xgg0coT8ZYeSMitjer/JcE29Q7s02+j1oM7yM61wA2lO25DLHfhBEfchxvi1Ysl8hEPN9xBXdxBXcTDDSlwQBoUSIcd0mGHeriOQfgdL2ADAnEMAHChZms0SY9+8vdGORj0+7uSMbkAzxgM+gZ55RVg1Spx380NGDoUGD5cfNBt2SKWY8c095HLxYeFo6NmdkD1ZX3njvhwKczJSQQTjRuLL+vLl8WHYklDwtjYiC+cZs3Eh5K9PXDwoPgAu3ev6PbVqokPGm9v8QHl5SVuMzOB48fFovqAV1EoRIYyL08ESarA1cdHlE2SxHFfe00EhL/8IhZVbl8XqlcX5y9cLg8PEfRlZha/j4WFCBYKt/WsVk38Ta5c0V3ZKjMnJ/FlfP68eE8Wp0YN8QWpCiyKU62aOE5ysvjSKknjxiJ4vHWr5G1UgVhp2zg6iv+dx7PjpalRQ7z3L10q+HFABQF+WdWtK4L627dF4Pb4ZxggPjMCA8Xn1okT4sfR4+RyEaAplSIgK24bCwvxA8HGRgSfJf3dGjYU74kzZwp+eBZXbgcHEbCXVd26Ini7dUsElVWMJJNB1rkz8MILwPjxOs1yM8ArGQM8GPgN8vzzwMaNwPTpwNy5Bb9OC0tIEFmLOnVEAOXsLD6gSpKfL/a5eVMEL02bFl9tKEnil3hSUsEvc7lc3Do4FH8OpVL8Io6IEMdWZR7q19esti1ORob4hbpxo1ji4zWfDwkBpkwBunUTH7rTpwM7dhQ9TqNGwKuvig/ewtm6xEQRHBbO6tWuLX6h5+SIJSVFbB8TI86h+iJv2xYYOFAszZqJaxMXJzJzp0+L4PTiRfErXhUUV6sG9OgBvPgiMGCAKM+9eyJTdeiQeK01aojjqRZXVxFcqzJ6586J6920aUHGzsND/EpXZfTOnxd/U1W2rlEjEUAnJIgyqbJ6WVkFWZ6GDcV75d49EXSqAvrERPF3tbQUi4WFeD+pgvP69UXG4NQpEZRHR4tjW1mJL8327UX2rVUrkUG5d08sd++K13LkSNEv1erVxb4dOohMw5EjYincmcnCQnzhtW8vynPihPhhk5ysuU2zZuJvVa+e+LscPy4CRBWZTFyngACR4bh4UZTn0iXN91DDhiK4bNxY/J1PnRLXWxVUODoCvXoBvXuLv3FOTkHGSnV74YLIvhQORBo0ED9a+vcXzRLOnRPX8PhxUQ65vCB76+srfgQV/ltfuFBwHFUTCnd38b+iysxeviwCElWmrn59cZz790V5VEt6unifqDJ2np7if1CV0YuLE/u4uxdk6zw9xbFVTSxu3BA/GFXZ/Zwccd/eXlw71eLuLq5LTIx4nVevitfh4iIyoy1bir+vlZUIlB48EO/X69dFBu7kyaIBnYcH0KmTKH9UlHjPPP7jrk4d8X5s3Fj8Xx87VrQmpHZtETj6+ooyRkUV/eyxtxfvmRYtxOfmiRPi+hRWs6Z4z/j5ifelKgNcWMuWomlN9+4iGL15s2C5elV8Tj12XMnSEiktOuG637O44NEduTcTUOPqadS+/S/c7p2GRc5DXJX54FyuD87n++AGvFAb91Af19RLDWTiFjxwCx64CU/chjvskA4v3FAvDkhBcvW6uGvtiZSaHsiwd4e9dTbq5t+ES+5N1H5wCzWz7yHXwRm5Lu6Q3Nxh4VEXNlb5sP3vNqzu3obFndvif93RUSQkVIulpbim8fHi/ZKQID5bU1PF5y8g/n+7dhVB3XPPPbm5jpYY4JWMAR4M/AZ59lmRpfv2W2DMGP2ey5QolQXB3oMHImArrs3d3r3A+++LgOjZZ8U16ty5+F98SmXpge/jJEl8wcjlBW0cy7JPUpL4kG7cWLSxMnfp6QXBf1lkZ4svv7NnC4Ktx3uw5+eL4OfkSfFF3qaNCP4KkyQRYJw8Kb5QWrcWX7KPU33ZWluL99Djx1G9hn//Fcf08yuo0i3s4UPxPlMqRQBb3I+tx+XkFFSn1q8vAlC2uRNf7NnZBdWXT5KVVZDpd3UFnn5aBJyF5eWJoP7oUfHDqUOHgqYAKpIkAuBjx8RnQbt2RbcBRBASFSXK2Lq12Obxz45790Sgl5oq3jM+PkW3SU8XZbp7F2jfHnmOzkhOFvFNQoL4PaW6TUwUHx0Zd9JQO+EsPFLOIFWyw06EIAVl/xyxsipoFeHoWPTW0VF8LD1+a2dnpLdmdrb4MWdlVVDlrUcM8ErGAA8GfoP07Qts2ybanoWF6fdcRERUbrm5Ba1fbt8uSFSpklbx8eL55OSyNZEurFYtkYh0dha3deqIChcnJ3G/du2CdbVri984/A1RMgZ4JTO5XrRmLy9P3JYlW0BERDr14IFoCvd4H4XCt0lJZW9OqGr14OoqaqhdXDTvOzsXLE5OT27ZQqQrDPAMTdXupDxDMBAR0RNJksiqXb9esKiaFl6/LgK6u3fLdqxq1UTfCDc3cau6X3hxdRXZNv5eJ1PEKMPQVAEePxGIiMpFkgr6lhQe6UfVh+T69ZI7vxZmayv6l3h4FNy6uxfcuruLbFt5mvgSmRoGeIamqqJlBo+IqIj8fFFVWngoOFVH4StXNDtjF0cmE9m2evXEUniIP9UQdRyPmqoCRhmGxgweEVVxkiQ6LajGTS48pveVK8UPZVeYm1vBmL+qEX9Ui6dnwbjHRFUZAzxDYwaPiKqIhw9F0KaaAVE19N/Fi6WPX169esHQgD4+msME1q9fdBQeIiqKUYahMYNHRGZGNf312bMFs7LFxopq1ZKGEbG0FMFa4fG8GzcWAZ2XFz8iiSqKAZ6hMYNHRJVUXp5oE/fvv2IiidOnxa1qpsHi2NuL8aALT97SpInIyLEqlUh/GGUYGjN4RFQJpKSIGd1Us/z9+6/I0D18WPz2Tk5itkBfX3GrmtbaxYUdGoiMgQGeoTGDR0QmJj5ezNIVHS1miouJKTo1q4qtrZj62c9P3DZvLqZ0LessZURkGIwyDI0ZPCIyosREMQVsVJS4jY4W024Vx9tbTPfbsqVY/PxEuzmOD0dk+hjgGRozeERkIBkZIoA7elQsUVFiNofHWViI9nEBAUCrVkDr1iKYq1XL8GUmIt1glGFozOARkR5Ikhh+JDJSLEeOiA4Qj/dilclEMNe2LdCmjQjqWrYEatQwTrmJSD8Y4BkaM3hEpAMPH4oq1kOHgH/+AQ4fFtN4Pc7DAwgMBNq1E7etWwN2doYvLxEZFqMMQ2MGj4i0kJYmArkDB8Ry/HjRGR/kcpGVCwoSS/v2YtouIqp6GOAZGjN4RFQGqanAwYPAvn3A/v2id+vj1a0uLsDTTwMdO4rF359jyxGRwCjD0JjBI6JiZGWJ6tY9e0RQFx1dNKBr0ADo3FksnTqJwYI5xhwRFYcBnqExg0dEEL/1oqOB3btFUPfPP0WrXH18gG7dgK5dRVDn4WGUohJRJcTRjAyNGTyiKuvWLWDlSmDwYDEwcGAgMGOGyNjl5IgAbtQo4IcfgBs3gEuXgG+/BYYOZXBHpAvLli2Dn58fFAoFFAoFgoKCsH37dvXzCQkJGDFiBFxdXVGjRg20bt0av//+u8Yx7t+/j2HDhkGhUMDBwQGjR49GRkaGoV/KEzGNZGjM4BFVGbm5onfr9u3Atm1i7tbC7O1Fhq5HDyA4GGjUiFWuRPrk4eGBBQsWoFGjRpAkCWvWrMGAAQNw8uRJPPXUUwgNDUVKSgo2b94MJycnrF27Fi+99BKOHz+OVq1aAQCGDRuG+Ph47N69G7m5uQgLC8PYsWOxdu1aI786TTJJKmmK6Krj1q1b8PT0xM2bN+Gh75/JFhZiwKr4eMDVVb/nIiKDu3tXBHNbtgC7doneryoWFmL8uZAQsbRrx996RBWhi+9vR0dHLFy4EKNHj0bNmjWxbNkyjBgxQv187dq18cknn+DVV1/FuXPn4Ovri6ioKLRp0wYAsGPHDvTp0we3bt1CXRPqts6PFkNSKkVwB/BTnciMnD8P/PmnCOoiIzU7Rzg5Ab17A336AD17Ao6OxisnkblKT09HWqFfU3K5HHK5vNR98vPz8dtvvyEzMxNBQUEAgA4dOmD9+vXo27cvHBwc8Ouvv+Lhw4fo2rUrACAyMhIODg7q4A4AgoODYWFhgaNHj+K5557T/YvTEqMMQ1K1vwPYBo+oElMqxbRfmzYBGzcCFy5oPu/vD/TvD/TtKzJ2nLuVSL98fX01HoeHh2P27NnFbnv69GkEBQXh4cOHqFmzJjZu3Kje/9dff8XgwYNRu3ZtVKtWDba2tti4cSN8fHwAiDZ6zs7OGserVq0aHB0dkVDSpM5GwgDPkFTt7wBm8Igqmfx8MYzJhg3AH38Ad+4UPGdlBTzzDPDss0C/foCnp/HKSVQVxcbGwt3dXf24tOxdkyZNEBMTg9TUVGzYsAEjR47E/v374evri5kzZyIlJQV///03nJycsGnTJrz00ks4ePAgWrRoYYiXojOMMgyJGTyiSiU/Xwwy/NtvIqhLSip4zs5OZOgGDhRVsAqF0YpJVOXZ2dlBUcZ/QisrK3VGLiAgAFFRUViyZAmmTJmCr776CmfOnMFTTz0FAGjZsiUOHjyIpUuXYvny5XB1dUVS4Q8CAHl5ebh//z5cTaxdPQM8Q2IGj8jkKZWiHd26dSKwS0wseK5WLRHQvfAC0L27mBqMiCo3pVKJ7OxsZGVlAQAsHmtTYWlpCeWjhrVBQUFISUlBdHQ0AgICAAB79+6FUqlEYGCgYQv+BIwyDIkZPCKT9e+/wM8/A7/8Aty8WbDe0RF4/nngxRfFkCbVqxuvjERUMdOnT0fv3r3h5eWF9PR0rF27FhEREdi5cyeaNm0KHx8fvPbaa/jss89Qu3ZtbNq0Cbt378bWrVsBAM2aNUOvXr0wZswYLF++HLm5uZgwYQJefvllk+pBCzDAM6zCGTy2uiYyups3gbVrRWBXeIw6OzvgueeAl18W49MxqCMyD0lJSQgNDUV8fDzs7e3h5+eHnTt3okePHgCAbdu2Ydq0aejfvz8yMjLg4+ODNWvWoE+fPupj/Pzzz5gwYQK6d+8OCwsLDBo0CF9++aWxXlKJOA4eDDgO3p07gLu7yN4VDvaIyGAyM0XP1zVrxBRhqk9AKyvRQWLYMDGkibW1cctJRE9m0HFsKxlm8AyJs1gQGYUkiRklVq4Efv0VKDyrUOfOwIgRwKBBoo0dEZE5YKRhSJyHlsigkpLEvK7ffy8GI1Zp0AAYOVIEdvXrG698RET6wgDPkFQZPAZ4RHqjVIqq12++EbNLqP7tbG2Bl14CXnkFePppzvlKROaNAZ4hqTJ4rKIl0rnkZGD1ahHYXblSsL5dO+DVV4HBgzlWHRFVHYw0DIkZPCKdO3YM+OorYP16ICdHrFMoRPXr2LGAn59xy0dEZAwM8AyJGTwinXj4UHSW+OorMSesSps2wLhxYniTGjWMVz4iImNjpGFIzOARVUhiIrBsGfD116JKFhDDm7z8MjB+vKiOJSIiBniGxQwekVZOnwY+/1wMSKyqhvXwAF5/XbSvc3Y2bvmIiEwNIw1DYgaPqMwkCdi7F/j0U2DXroL1gYHAxIli3Dr+ViIiKh4/Hg2JGTyiJ8rLA37/XQR2J06IdRYWYj7YSZOAoCDjlo+IqDJgpGFIzOARlSg7Wwxz8sknwLVrYp2NDTB6tAjsOCAxEVHZMcAzJGbwiIrIzAS++w5YuFBM1wwAtWsDb74pOk44ORm3fERElREjDUNiBo9ILSMDWLoU+Owz4O5dsa5uXWDKFNFxgsOcEBFpjwGeITGDR6QO7BYuBO7dE+vq1wemTRPzw8rlxi0fEZE5YKRhSMzgURWWlSUCu08/LcjY+fgAM2YAw4bxdw8RkS7xI9WQmMGjKignB1ixApg7F0hIEOsaNgRmzmRgR0SkL/xoNSRVgMcMHlUB+fnA2rVAeHhBr9j69YFZs4DhwxnYERHpEz9iDUlVRctvNjJjkgRs3w5MnQqcOSPWubqKjN2rr4qpxYiISL8YaRgSM3hk5o4fF71g9+0Tj2vVEoHehAnsFUtEZEgM8AyJGTwyU3FxwPvvA7/8Ih7L5cDbb4uesbVqGbVoRERVEiMNQ2IGj8xMRgYwfz6waJGYiUImA0aMEB0qvLyMXToioqqLAZ4hMYNHZkKpBH78EZg+HYiPF+u6dQMWLwb8/Y1aNCIiAgM8w2IGj8zA0aOiTd3x4+Jxw4ZiNooBA0QGj4iIjM/C2AWoUpjBo0osOVn0gm3fXgR3dnZi0OKzZ4GBAxncERGZEkYahsQMHlVC+fnAN98AH3wApKSIdSNHAgsWiOFPiIjI9JhkBm/p0qXw9vaGtbU1AgMDcezYsVK3/+KLL9CkSRPY2NjA09MTEydOxMOHDw1U2nJgBo8qmehoIDAQGD9eBHf+/sChQ8Dq1QzuiIhMmckFeOvXr8ekSZMQHh6OEydOoGXLlggJCUFSUlKx269duxbTpk1DeHg4zp07h++//x7r16/H+++/b+CSlwEzeFRJpKWJYU7atRNBnoODmEf2+HGgY0djl46IiJ7E5AK8xYsXY8yYMQgLC4Ovry+WL18OW1tbrFy5stjtDx8+jI4dO2Lo0KHw9vZGz549MWTIkCdm/YyCGTyqBP74A2jWDPjyS9FbduhQ4Px54I03+NuEiKiyMKkALycnB9HR0QgODlavs7CwQHBwMCIjI4vdp0OHDoiOjlYHdFevXsW2bdvQp0+fEs+TnZ2NtLQ09ZKenq7bF1ISZvDIhMXHA4MGieXOHcDHB9i1C/j5Z8DFxdilIyKi8jCpVNLdu3eRn58Pl8e+TVxcXHD+/Pli9xk6dCju3r2Lp59+GpIkIS8vD+PGjSu1inb+/PmYM2eOTsteJszgkQmSJNGmbtIk0c6uWjUxvdgHHwA2NsYuHRERacOkMnjaiIiIwMcff4yvv/4aJ06cwB9//IG//voLc+fOLXGf6dOnIzU1Vb3ExsYaprDM4JGJiYsDQkKAV14RwV1AgGhn99FHDO6IiCozk0olOTk5wdLSEomJiRrrExMT4VpCl72ZM2dixIgRePXVVwEALVq0QGZmJsaOHYsPPvgAFhZFY1i5XA65XK5+nJaWpsNXUQpm8MhESBKwYoXI2mVkANbWwJw54jHfnkRElZ9JZfCsrKwQEBCAPXv2qNcplUrs2bMHQUFBxe6TlZVVJIizfJQhkyRJf4XVBjN4ZAJu3wb69AHGjhXBXceOwKlTwJQpDO6IiMyFyX2cT5o0CSNHjkSbNm3Qrl07fPHFF8jMzERYWBgAIDQ0FO7u7pg/fz4AoH///li8eDFatWqFwMBAXL58GTNnzkT//v3VgZ7JYAaPjEiSgJ9+At56S1THyuXAvHnAO+/wNwcRkbkxuUhj8ODBSE5OxqxZs5CQkAB/f3/s2LFD3fHixo0bGhm7GTNmQCaTYcaMGbh9+zbq1KmD/v37Y968ecZ6CSVjBo+M5P59YNw44LffxOO2bYE1a8RwKEREZH5kksnVYxrerVu34OnpiZs3b8LDw0N/Jxo3Tsz5NGcOMGuW/s5DVMjevUBoqKiarVYNmD1b9JJlIpmIKjuDfX9XQvyINyRm8MiAsrOBGTOARYtE9WzjxmJMuzZtjF0yIiLSNwZ4hsQ2eGQgly4BgwcDJ0+Kx2PHAosXAzVqGLdcRERkGCbVi9bsMYNHBrB2LdC6tQjuatcGNm0SLQMY3BERVR1MJRkSM3ikR5mZooesatrmzp1FlSybpRARVT3M4BkSM3ikJ2fPip6xK1cCMhkQHi46VzC4IyKqmphKMiRVBo8BHunQ2rXAmDFAVhbg5iYed+1q7FIREZExMYNnSKoMHqtoSQeys4Hx44Fhw0Rw1707EBPD4I6IiBjgGRYzeKQjN26INnZffy0ez5gB7NwJODsbt1xERGQamEoyJGbwSAf27QNeegm4exeoVQv48Uegb19jl4qIiEwJM3iGxAweVYAkAV9+CfToIYK71q2BEycY3BERUVEM8AyJGTzS0sOHQFgY8Pbb4m00fDhw6BDg7W3skhERkSlipGFIzOCRFm7fBgYOBI4fBywsgM8+A955RwyHQkREVBwGeIbEDB6V0/HjwLPPAvHxgKMjsH49EBxs7FIREZGpYxWtITGDR+WwYYPoKRsfD/j6AlFRDO6IiKhsGOAZEjN4VAaSBHz0EfDii8CDB0Dv3kBkJNCggbFLRkRElQUDPENiBo+eIDsbGDECmDlTPH7nHWDzZkChMGqxiIiokmEqyZCYwaNS/Pcf8NxzwP794i3y1VfAa68Zu1RERFQZMdIwJGbwqATXr4uq2HPnADs74I8/2N6OiIi0xwDPkJjBo2KoBitOSADc3YFt2wA/P2OXioiIKjO2wTMkZvDoMTt3ip6yCQlAixbAkSMM7oiIqOIY4BkSM3hUyNq1QL9+QGamqI49eBDw8DB2qYiIyBwwwDMkZvDokSVLgGHDxFti6FDgr78Ae3tjl4qIiMwFU0mGxAxelSdJwIwZwMcfi8dvvQV8/rmYgoyIiMzUM89U/BijRgGhoWXenJGGITGDV6Xl5wOvvw589514PG8eMH0655QlIjJ7EREV218mA7p2LdcuzBsYEjN4VVZurqiS/e47ka377jvg/fcZ3BERVRmzZwNKpXaLJJX7dIw0DEkV4DGDV6U8fAi89BKwZQtQvbroXPHCC8YuFRERmTMGeIakqqJlBq/KyMwUs1Ps3g3I5WIA4z59jF0qIiIyqO3bAR8fg+7PSMOQmMGrUtLSxADGhw4BNWqIOWV10c6WiIgqmZAQ7fbLzBRfIFrszzZ4hsQMXpWRkgL06CGCO3t7YNcuBndERMa2bNky+Pn5QaFQQKFQICgoCNu3b9fYJjIyEs888wxq1KgBhUKBzp0748GDB+rn79+/j2HDhkGhUMDBwQGjR49GRkbGk0/+55/lK2xmppjDUksM8AxFkkRDSYAZPDOXkgL07AkcOwY4OgJ79wIdOhi7VERE5OHhgQULFiA6OhrHjx/HM888gwEDBuDs2bMARHDXq1cv9OzZE8eOHUNUVBQmTJgAi0JjWQ0bNgxnz57F7t27sXXrVhw4cABjx4598smHDAH27y9bQR88EO15/vlHm5cJAJBJkhZdM8zMrVu34OnpiZs3b8JDX1MJ5OWJFvYAcO+e+OYns6MK7qKixJ94zx7A39/YpSIiMk+6+P52dHTEwoULMXr0aLRv3x49evTA3Llzi9323Llz8PX1RVRUFNq0aQMA2LFjB/r06YNbt26hbt26JZ/IwUEMnbB3L9CqVcnbPXgg2vdERAADB4rG21pgBs9QVO3vAGbwzNR//4lq2agooHZt8T/M4I6ISP/S09ORlpamXrKzs5+4T35+PtatW4fMzEwEBQUhKSkJR48ehbOzMzp06AAXFxd06dIFhw4dUu8TGRkJBwcHdXAHAMHBwbCwsMDRo0dLP+GWLUBOjqh2vXSp+G0ePgSefVYEd/37A7/+WpaXXywGeIaian8HsA2eGVJl7o4fF8Hdnj1Ay5bGLhURUdXg6+sLe3t79TJ//vwStz19+jRq1qwJuVyOcePGYePGjfD19cXVq1cBALNnz8aYMWOwY8cOtG7dGt27d8elRwFZQkICnJ2dNY5XrVo1ODo6IiEhofRCduoErF8P3L8vvjDu3NF8PjtbZOz27BHVsxs2VCheYKRhKMzgma30dPGD7PhxwMlJ/G/6+Rm7VEREVUdsbCzc3d3Vj+VyeYnbNmnSBDExMUhNTcWGDRswcuRI7N+/H8pH7eRfe+01hIWFAQBatWqFPXv2YOXKlaUGjWXWrx+wapWYcqxHD+DgQdGeJydHjKm1axfQqxewcWNBsy4tMcAzFGbwzFJWlsiiHzkC1KoF/P03gzsiIkOzs7ODQqEo07ZWVlbweTSmXEBAAKKiorBkyRJMmzYNgMgGFtasWTPcuHEDAODq6oqkpCSN5/Py8nD//n24urqWrbDDhoks3ttvi+zA9u3AiBHAjh0i6Nu0qcLBHcAqWsNhBs/sZGeLH1z79wN2dsDOnayWJSKqbJRKJbKzs+Ht7Y26deviwoULGs9fvHgR9erVAwAEBQUhJSUF0dHR6uf37t0LpVKJwMDAsp/0zTeB8HDRaLtBAxHkPfOMGErFykonr4upJENRZfAsLDgBqRnIzRXTj+3aBdjaAtu2AW3bGrtURERUmunTp6N3797w8vJCeno61q5di4iICOzcuRMymQyTJ09GeHg4WrZsCX9/f6xZswbnz5/Hhg0bAIhsXq9evTBmzBgsX74cubm5mDBhAl5++eXSe9AWJzxc9M778kuga1dg61bA2lpnr5UBnqFwFguzkZ8vmk9s3iymH9uyBXj6aWOXioiIniQpKQmhoaGIj4+Hvb09/Pz8sHPnTvTo0QMA8M477+Dhw4eYOHEi7t+/j5YtW2L37t1o2LCh+hg///wzJkyYgO7du8PCwgKDBg3Cl19++eST29oWv14mAw4fLn74NJlMDHisBY6DBwONgxcXB9SvD9jYiIZbVClJEvDGG8Dy5aKJxKZNnFuWiMhYDPL9rSve3trV4F27ptXpmMEzFGbwzEJ4uAjuZDLgxx8Z3BERURnFxRn0dOxkYSich7bSW7IEUA1u/vXXwODBxi0PERFRSRjgGQozeJXajz8C77wj7n/0ETBunFGLQ0REVCoGeIaiyuAxwKt0tm0DHo15iXfeAd5/36jFISKiyubbb4ETJwy6PwM8Q1Fl8FhFW6kcPw68+KL4840YASxaxFFuiIionMaNE8OgGHB/RhuGwgxepXP1KtC3r+j03KMH8P33YhhDIiKicktJAR7NiGEIDPAMhRm8SuXePTGDTFIS4O8v5nzWwcwxRERUVS1ZIhZtaFF1xGjDUJjBqzQePACefRa4eBHw8gL++gso4xSHRERERY0cWfFj+PuXa3MGeIbCDF6loFSKtnaHDwMODmJ6wPLOPkNERKRh1SqDn7JC0UZysihzVJSoWlbFMIXJZMCePRU5i5lgBq9S+OAD4PffxVzPf/4J+Poau0RERETlp3WA9++/wDPPiHlyS5vsjD0OH2EGz+StWgUsWCDuf/890LmzcctDRESkLa37BL77LnD/vsh4XLsG5OaK6q3Hl+KyelUSM3gmbf9+4LXXxP0ZM4Dhw41bHiIioorQOp0UGQkMHAh8+KEOS2POmMEzWZcuAc8/L36kvPQSMGeOsUtERERUMVpn8KysgIYNdVkUM8cMnkn67z+gXz+RjW7XDli9mmPdERFR5af1V1mXLmKUfyojZvBMTl4eMHiwGA7F01N0qrCxMXapiIiIKk7rAO+zz4AzZ8QtlQEzeCZn6lRg927A1hbYsgVwdTV2iYiIiHRD63TSvHlA8+biS3L5cjH+XnGDwcpkokdilccMnkn58Udg8WJxf/VqoGVLoxaHiIiqopwc4O+/gfPngcxMYOZMsf7hQyAtDXBy0rrdkNbRxurVBfevXhVLcRjgPcIMnsmIigLGjBH3Z8wAXnzRuOUhIqIqaPNmYOxYMaiwJImASRXg/fsvEBQkshFDh2p1eK2raK9dK9tSUuBXmqVLl8Lb2xvW1tYIDAzEsWPHSt0+JSUF48ePh5ubG+RyORo3boxt27Zp+cr0hBk8k5CQADz3HJCdDfTvzx6zRERkBP/8A7zwAiCXi/lpHw/i2rUDfHzEyPta0jraqFdP63OWav369Zg0aRKWL1+OwMBAfPHFFwgJCcGFCxfg7OxcZPucnBz06NEDzs7O2LBhA9zd3XH9+nU4ODjop4DaYgbP6HJygEGDgNu3gWbNgJ9+Yo9ZIiIygrlzxXyY0dGiGvbevaLbtGkDHD2q9SlMLp20ePFijBkzBmFhYQCA5cuX46+//sLKlSsxbdq0ItuvXLkS9+/fx+HDh1G9enUAgLe3tyGLXDbM4Bndu+8WzDH755/FtxklIiLSu6NHRQbPyankbVTDO2ipwvmLn38GevQA6tQRmcY6dYCePYG1a8t/rJycHERHRyM4OLiggBYWCA4ORmRkZLH7bN68GUFBQRg/fjxcXFzQvHlzfPzxx8gvZQqN7OxspKWlqZf09PTyF7a8mMEzqrVrga++Evd//BFo1Mi45SEioiosO/vJWYaUlApVM2m9Z36+qO4KDQX27BGdP+rWFbd//w2MGCGeVyrLfsy7d+8iPz8fLi4uGutdXFyQkJBQ7D5Xr17Fhg0bkJ+fj23btmHmzJlYtGgRPvrooxLPM3/+fNjb26sXX0PMKM8MntGcOaPZqaJfP+OWh4iIqrgGDUSPv9JERgJNm2p9Cq0DvC+/BDZuBDp2FG0Fs7JEp4qsLFEN9vTTwKZNwP/+p3XZykSpVMLZ2RnffvstAgICMHjwYHzwwQdYvnx5iftMnz4dqamp6iU2Nla/hQSYwTOStDTxQyMrS2SWZ882domIiKjKGzRIBE+rVhX/vGqw4cGDtT6F1umkNWuAxo1F9u5R0ze19u1FFs/PT5T97bfLdkwnJydYWloiMTFRY31iYiJcSxiF1s3NDdWrV4dlocCpWbNmSEhIQE5ODqysrIrsI5fLIZfL1Y/T0tLKVsCKYAbP4CQJCAsrmKni558ZXxMRkQmYPFn0kH31VdGGKDtbrJ8yRWTuDh8WAwxPmKD1KbTO4F28CDz7bNHgTqV6dTEMxcWLZT+mlZUVAgICsGfPHvU6pVKJPXv2ICgoqNh9OnbsiMuXL0NZqC744sWLcHNzKza4Mxpm8Axu8WLgjz/EvMkbNpTelpWIiMhgatYEDh4EXn4ZiIgADh0SWYnPPhPB3UsviUxZoWRUeWkd4FlZifZ2pcnMFNuVx6RJk/Ddd99hzZo1OHfuHF5//XVkZmaqe9WGhoZi+vTp6u1ff/113L9/H2+//TYuXryIv/76Cx9//DHGjx9f3pekX8zgGdSRI4Cq0/UXX4ghhYiIiExGrVqiaikhAdi2TYzdtXkzcOcO8Msv4vkK0DraaNUK+PVX4IMPROeKx8XHi+dbty7fcQcPHozk5GTMmjULCQkJ8Pf3x44dO9QdL27cuAGLQr1KPD09sXPnTkycOBF+fn5wd3fH22+/jalTp2r70vSDGTyD+e8/0WwhL0/cjhtn7BIREREV8swzohPD3LlA7dpAr146P4XWAd6kScCAAWIcvnffBbp0AVxcgMREkW1cvBi4f19sV14TJkzAhBLqnSMiIoqsCwoKwpEjR8p/IkNiBs8gVO3ubtwAGjYEvv1WzP5CRERkMo4eFR0W9EjraKN/f1FVPG2aaBNYmCSJOOazzzgkhZoqwGMGT6/+9z8xLqSVlcggczBjIiIyOU2bAtev6/UUFUonTZoEDBwoqpBjYsSQFAqFqL4dOlQM80KPqKpomcHTm+PHgffeE/cXLSp/8wAiIiKDePNN0UM2NhbQ01i8FY42GjQAZs7URVHMHDN4epWWJtrb5eYCzz8PmFofGyIiIrUGDYCuXUU17WuvAW3binZuxbUp6txZq1MwnWQozODp1YQJwNWrQL16wPffs90dERGZsK5dxReVJIkqp9K+tEqZerU0ZY42DhwQt+3aAdbWBY/LQsvg07wwg6c3v/wi5pe1sBDNBRwcjF0iIiKiUsyapfdMRJkDPFWwee6cmMFC9bgstAw+zQszeHoRF1cwDMrMmaLXORERkUkzwLyZZY42VMGmajYAAwSf5oUZPJ3LywOGDxft7zp0AGbMMHaJiIiITEOZA7zHg01O2l5OzODp3Pz5Yq5mOzsxADgvLRERkcCvRENhBk+njhwB5swR97/+Gqhf37jlISIiKjMLi7JVg8pkBQmictI6wEtPB5KTAU9PoHr1gvXr14up1KytxVAVHIvsEWbwdCYzU1TN5ueL8RaHDzd2iYiIiMqhc+fiA7zUVODSJfFF17JlhXoNah1tTJkiqsUSEwsCvGXLxHAVkiQer1sHREeLAZurPGbwdGbKFODKFfHjYulSY5eGiIionIqZdlUtK0tME7ZjB7B7t9ansNB2x/37geBgwNa2YN2CBYC7uxhC5ddfRaC3cKHWZTMvzODpxO7dokoWAFau5JAoRERkZmxtgS+/BOztgcmTtT6M1tFGfDzQq1fB43PngJs3gU8/BZ5+WqzbsKF84+WZNWbwKiwlBQgLE/fHjxc/MIiIiMxSp06iqlRLWmfwsrPFhO4q+/eL6uSePQvWNWgA3L6tddnMiyqDxwBPa2+9Jd5PPj7AJ58YuzRERER6lJwMZGRovbvWAZ6HB/DvvwWPt24FHB0BP7+CdffuATVral0286LK4LGKVisbNxbMVvHDD0CNGsYuERERkR4oleILb/16wN9f68NoHW307i0auL/3nugxu2MHEBqquc3Fi4CXl9ZlMy/M4GktOVnMxQyIDhZBQcYtDxERUYU0aFD8+rw8ICkJyM0VPVjnz9f6FFoHeNOnA1u2AIsXi8dubsCHHxY8n5QkBqGdMEHrspkXZvC09uabIshr0YIDbBMRkRlQKosfJqV6daB5c6BtWxFAPfWU1qfQOtpwdQXOngX27BGPO3cGFIqC5+/eFT1oQ0K0Lpt5YQZPKxs3iiy1pSWwahUglxu7RERERBUUF6f3U2gd4P3wA+DiAvTrV/zzvr5ioUeYwSu3+/eBN94Q96dMAQICjFseIiKiykLrThajR4t2d1RGzOCV26RJQEKCGCh71ixjl4aIiEhHLC2BuXNL32bevAolhbQO8NzctJ4erWpiBq9cduwA1qwRTRRWrhQdeYiIiMyCJBVM+/Wk7bSkdYD37LNiVoHsbK3PXbUwg1dmaWnA2LHi/ttvs9csERFVQcnJgI2N1rtrnU6aNw+IjASef17MXlGBjh5VAzN4ZTZ1qpgVpUED4KOPjF0aIiIiHfjhB83HMTFF1wEiXrh5UzzXvLnWp9M62mjVSmTvYmJEdZq1NeDsXLTXr0wmJoav8pjBK5PDh4Hly8X9FSs4oDEREZmJUaMKgiSZDPjzT7E8TlUta2NTobHBtA7wlEoxVdnjAxk/Xl1cgepj88IM3hPl5hYMaPzKK0C3bsYtDxERkc6sWiVuJUl8yQ0cCAwYUHQ7S0sxNVhQEFCrltan0zraMMAQLuaFGbwn+uwz4MwZwMlJVPsTERGZjZEjC+7v3w8895zo0KAnTCcZCjN4pbpypWAmlM8/B2rXNm55iIiI9EaVzdMjnUQbsbHA+fNAZiYwYoQujmiGmMErkSSJAY0fPgS6dweGDTN2iYiIiAwkP19M/1XSsCSPt4UrI62HSQGAqCjA31/MEfrii6L9oMqBA4CtLbB5c0XOYEaYwSvRL78Au3aJaciWLSt+ej4iIiKzEh0t5nOtWROoWxeoX7/o0qCB1ofXOsA7exZ45hng2jVg4kSgd2/N5zt1Em2pfvtN67KZF2bwivXff+L9AwAzZgCNGhm3PERERHoXEyMCpchIoGdPUZXl5yfuOzmJx126VKhaVOsALzxc3EZHi8bxbdtqPi+TiQ4gUVFal828MINXrBkzgKQkoFkzMd8sERGR2VNNU3b0aMFQKc89B2zfLnqxjhsneh2qgi0taB3g7d8PDBoE+PiUvI2XFxAfr+0ZzAwzeEWcPFkw5t3XX4thd4iIiMzeoUOiB22zZgXrCo9/99VXotr2/fe1PoXWAV56uhjYuDQPHhQkrqo8ZvA0KJXA+PHi9uWXga5djV0iIiIiA0lN1WxfV706kJFR8NjCQnwx7tmj9Sm0DvA8PYHTp0vf5sQJoGFDbc9gZpjB0/DDD6LpQY0aooqfiIioynB2Fo3QVVxdgUuXNLd5+BDIytL6FFoHeP36iZ6Pf/9d/PO//gocOSIGaq7yJIkZvEJSUsR8swAwaxbg7m7U4hARERmWry9w4ULB444dRVAVGSkenzsnAqmmTbU+hdYB3vvvi+rhPn2AMWOA48fF+q+/Fp0+hg4FvL2BSZO0Lpv5UCoL7jODh/Bw0bGiaVPgnXeMXRoiIqoqli1bBj8/PygUCigUCgQFBWH79u1FtpMkCb1794ZMJsOmTZs0nrtx4wb69u0LW1tbODs7Y/LkychT1dKVVd++Yjw5VUeFqVNFMujpp4E6dcT4cykpFWqDp3U6qU4d0dFixAjg++8L1k+YIG4DA8X4Zvb2WpfNfBRuiFjFM3j//ivajgLAl1+yYwURERmOh4cHFixYgEaNGkGSJKxZswYDBgzAyZMn8dRTT6m3++KLLyArZlDW/Px89O3bF66urjh8+DDi4+MRGhqK6tWr4+OPPy57QcaNA156qWCu2ZYtRXu7efOAq1eBgADgzTdFIKglmSSpum1oLyZGVMfevw8oFCK4e3zYFFN269YteHp64ubNm/Dw8ND9CbKyRGMzAEhLA+zsdH+OSkCSRJvRAwdED+wNG4xdIiIiqsx08f3t6OiIhQsXYvTo0QCAmJgY9OvXD8ePH4ebmxs2btyIgY/am23fvh39+vXDnTt34OLiAgBYvnw5pk6diuTkZFiZUNZCJ+kkf3+xUAmYwQMgBr0+cED0AF+82NilISKiqiw/Px+//fYbMjMzERQUBADIysrC0KFDsXTpUri6uhbZJzIyEi1atFAHdwAQEhKC119/HWfPnkWrVq3KdvIGDcQMEUuX6uS1FEfraGPECCA0FAgO5tRST1S4br6KtsF78ACYPFncnzJF66n1iIiIikhPT0daWpr6sVwuh1wuL3bb06dPIygoCA8fPkTNmjWxceNG+Pr6AgAmTpyIDh06YMCAAcXum5CQoBHcAVA/TkhIKHuB794VVZ56pHWA9/PPwNq1omfvkCHA8OHM4pWIGTwsWgTcuAF4eHDGCiIi0i1VgKYSHh6O2bNnF7ttkyZNEBMTg9TUVGzYsAEjR47E/v37cfnyZezduxcnT57Uf4H9/ICLF/V6Cq2jjehoMZbZunWiuu3zz0Wv39BQ0YOWQ18UUjiDZ6F1x+VK6/ZtYP58cf/TTwFbW+OWh4iIzEtsbCzcCwUeJWXvAMDKygo+j6bhCggIQFRUFJYsWQIbGxtcuXIFDg4OGtsPGjQInTp1QkREBFxdXXHs2DGN5xMTEwGg2CrdEk2dKhqj79sHdOtW9v3KQesAr1UrsSxaBOzcCfz0k5hObepUYPp00Zh+xAhR/po1dVjiyqiKj4E3bZroZ9Khg5i1goiISJfs7Oyg0LLKU6lUIjs7G3PmzMGrr76q8VyLFi3w+eefo3///gCAoKAgzJs3D0lJSXB+NJ3X7t27oVAoimQRS/Xff0DPnmIZOFD0THVxKb7NW2ioVq9LJ71oVTIzRc/In34SQakkiQb1hWffMEV670V74wZQrx4gl4uRqauQI0eAR21XERUFtGlj3PIQEZH5KO/39/Tp09G7d294eXkhPT0da9euxSeffIKdO3eiR48eRbaXyWQavWjz8/Ph7++PunXr4tNPP0VCQgJGjBiBV199tXzDpFhYiGDu8RCscIAnSeKxlnO+6jSlVKMGMHKkyNp9+SUwZ45oXF/lqapoq1gGT6ksGMh41CgGd0REZFxJSUkIDQ1FfHw87O3t4efnV2JwVxxLS0ts3boVr7/+OoKCglCjRg2MHDkSH374YfkKsmqVFqUvH51FHEqlZlXtgwci8AwO1tUZKjFV9F3FetD+8gtw9Kiooi/PDxsiIiJ9+L7wzAxlUFwlZ7169bBt27aKFWTkyIrtXwYVDvCOHxdB3bp1QHKyyCi2aFEwXVndurooZiVXBTN4Dx8WzLAyfTrg5mbc8hAREVUlWkccH30khkq5eFEEdW5uYt7ZESNE718qpApm8L78smBYlIkTjV0aIiIiE7Rxo6juOn9e9Ea8fFmsP38e2LwZGDZM62FJtA7wZs0Sbe6GDRNBXffuVXIEkLKpYhm8e/cKqmQ/+kh0tCEiIqJHlEoxiLBqzk4bG81OC7VqAR98IBJE06drdQqtQ7IffgASE8Vtjx4M7kpVxTJ4c+cCqali7uThw41dGiIiIhPz+edi/s7XXhNDprz3nubzLi5Ap07AX39pfQqtw7LhwzlgbZlVoQzelSvA11+L+wsXVpmYloiIqOxWrxZj3339tZiyrLjx73x8gGvXtD5FhSOOvDzgwgUgJaXkoVo6d67oWSq5KpTBmz4dyM0FQkJEZpeIiIgec/kyMH586dvUri3aPGlJ6wBPkkQ7vP/9D0hPL31bLcfoMx+qDJ6ZB3hHjoiMs0wmpiQjIiKiYtjYiLZMpbl+HXhs2rTy0DrAmzsXmDdPnDs0VPSWrAI1kNqpAlOVSRIwebK4P2oUe1ITERGVqFUrMXjww4eAtXXR5+/fB3bsqFAVqNYRx8qVYvat48dFFpFKUQUyeFu3AocOiR8lc+cauzREREQm7K23gOeeE1N/ffON5nNXrgCvvCIyfG+9pfUptA7wEhKA119ncFcmZp7BUypFb25AvBe1HLKHiIioahgwAJg6FfjkE5Etq1FDrHd2Fu3uJAmYORN45hmtT6F1L9r69YG0NK3PW7WYeQbvl1+A06dFdf3UqcYuDRERUSUwf76opu3XTwxLYmkpMia9egHbtwNz5lTo8FoHeK+/LqrlkpIqdP4SLV26FN7e3rC2tkZgYCCOHTtWpv3WrVsHmUyGgQMH6qdg2jDjDF5OjviRAQBTpoixGYmIiKgMevQA/vxTVIvm5AB374qx70JCKnxorQO8AQNE278OHcRgx2fOiKmpilvKa/369Zg0aRLCw8Nx4sQJtGzZEiEhIUh6QjQZFxeH9957D506ddLyVemJGWfwVqwQw/S4uFSoqQARERHpkNYppfr1xXAYkgSEhZW8nUxWEN+U1eLFizFmzBiEPTrw8uXL8ddff2HlypWYNm1asfvk5+dj2LBhmDNnDg4ePIiUlJTynVSfzDSDl5lZ0KFCNXUdERERldGJE8CaNcDJk6JThb296GE7ciTQunWFDq11xBEaWvzAyxWVk5OD6OhoTC8095qFhQWCg4MRGRlZ4n4ffvghnJ2dMXr0aBw8eFD3BasIM83gffmlyCrXrw+8+qqxS0NERFSJTJ4spixTKjXXHzoELF0KTJpUoUFltQ7wVq/W+pylunv3LvLz8+Hi4qKx3sXFBefPny92n0OHDuH7779HTExMmc6RnZ2N7Oxs9eP0J43UXFFmmMH777+C993cuYCVlXHLQ0REVGl89RWwaBHQpAkwY4aYd9bFBUhMBA4cAD76SDzv7Q288YZWp9C6DZ6pSE9Px4gRI/Ddd9/BycmpTPvMnz8f9vb26sXX11e/hTTDDN7ChWJ6uhYtgCFDjF0aIiKiSuTrrwFPT+DYMWDYMMDLC5DLxe3w4cDRo2LMsa++0voUOkkp/fMPEBMjhk1RKAB/f6BjR+2O5eTkBEtLSyQmJmqsT0xMhKura5Htr1y5gri4OPTv31+9Tvko3VmtWjVcuHABDRs21Nhn+vTpmDRpkvrx7du39RvkmVkGLzlZVM8C4keGRaX/mUBERGRA166J4Ujs7Ip/3t5eDIK8fLnWp6hQxHH4sOhgcfmyeCxJBe3yGjUCVq0CgoLKd0wrKysEBARgz5496qFOlEol9uzZgwkTJhTZvmnTpjh9+rTGuhkzZiA9PR1LliyBp6dnkX3kcjnkcrn6cZq+B/QzswzewoWig0WbNkChuJqIiIjKwtm5bNs91lytPLQO8M6eBXr2BLKyxDAu3boBbm6i0f2+fcCuXWIYlyNHgPImxyZNmoSRI0eiTZs2aNeuHb744gtkZmaqe9WGhobC3d0d8+fPh7W1NZo3b66xv8OjyXkfX280ZpTBS0wsyBjPmaOfjjZERERmbcgQMUvAhx8CNWsWfT4tDfj9d1F9qyWtI44PPxRj8m3bJgZdLmzqVDFH7rPPiu3WrSvfsQcPHozk5GTMmjULCQkJ8Pf3x44dO9QdL27cuAGLylQvaEYZvE8/BR48AAIDgd69jV0aIiKiSmjOHODcOaBdOzHO2NNPF3SyOHhQ9F5s3bpCs1nIJEmStNnRxQXo3h1Yu7bkbYYOBfbsEeU1Zbdu3YKnpydu3rwJDw8P3Z9g8WLg3XdFJP7TT7o/voHExwMNGgAPH4oAXgcDbRMREWlN79/f+qJK+BRu21ZYSevLMbiw1hm81FQx/llp6tcX21V5ZpLBW7BABHcdOojqeSIiItJCp056b+OkdYBXt65oX1eao0fFdlWeGbTBu3UL+OYbcf/DD9n2joiISGsREXo/hdYN2Z59VpRv5kyR1Sns4UMgPFx0thgwoIIlNAdmkMGbPx/IzhY/Op55xtilISIiotJonVKaORPYuhX4+GOR2WnXrqB9YFSUGCutQQOxXZVXyTN4t24BK1aI+8zeERERmT6tI47atUUV7ZQpopfstm0Fz1lbi/HxPvkEcHTURTEruUqewfv0U9FjuksXoGtXY5eGiIjIDFy7BixZApw6Bdy5A+TmFt1GJgOuXNHq8BVKKTk5AStXigze+fMFM1k0bQpUr16RI5uZSpzBS0gAvvtO3Gc2loiISAd27AAGDhTZk+rVxcDHxcUI2g10AkCLAG/ePDGLwZw5BUFc9epiTlKVnBzggw/EDBzTpmldNvNRiTN4ixeLNpXt27PtHRERkU5MnSpigvXrxZRkehjbt1xH/PtvMR5f7dqlZ+isrMQ2H3wgOlpUeZU0g3fvnpgPGQBmzGDbOyIiIp24eFEMFvzii3qb0L1cR/3hB6BWLaCYKWGLGD9etL9btUrbopmRSprBW7JEZGtbtQL69DF2aYiIiMyEq6vosKBH5QrwDh8GgoMBufzJ28rlYtt//tG2aGakEmbwUlOBL78U95m9IyIi0qGhQ4Ht24uOM6dD5Qrw7twRQ5+UVf36YnqrKq8SZvCWLhVBnq+vaAdKREREOjJ7tuiRGhIiMmEZGTo/RbkCPAuL4nvxliQ3V29Vy5VLJcvgZWaKzhWAaEfJvyEREZEOVa8OvPUWcPo00LkzYG8vkkCPLxWIG8q1Z926wJkzZd/+zBnA3b28RTJDlSyD9803ooNFo0bA4MHGLg0REZGZWb8eGDYMUCpF1aibm86TQOU6WqdOwE8/AXFxgLd36dvGxQF79wKhoVqXzXxUogxedjawaJG4P21apYlJiYiIKo8PPxRZux07gLZt9XKKclW+jR8vql1feAG4e7fk7e7dEz1/8/KA11+vaBHNQCXK4P30k2hr6e4ODB9u7NIQERGZoWvXgJdf1ltwB5Qzg9e6NfDOO8AXX4jG9+PGAd26AR4e4vnbt4E9e4BvvxVz0U6aJPap8ipJBk+pBBYuFPcnTRLjGRIREZGOeXoWxAZ6Uu6IY9EiMXTLwoViVot58zSflySRqJo+HfjoI10Vs5KrJBm8P/8ELlwAHByAMWOMXRoiIiIzNWYM8PnnwMcfi0GD9aDcAZ5MJsozerQYxPjwYTFfKSDG7evYERg1CmjYUMclrcwqQQZPkoBPPhH3x48X08wRERGRHrzwghgepWNHMdhsy5aAQlH8tl5eWp1C64ijYUNm6MpMFeCZcAbvwAHg6FGRnX3rLWOXhoiIyIw1aCAyZpJUem9UmaygFrCcTDelZE5UfxwTzuCpsndhYYCzs3HLQkREZNZCQ/U+RZTpRhzmxMQzeKdOiRlTLCyA994zdmmIiIjM3OrVej8F5ygwBBPvZPHpp+L2xRfLNxUdERERmSZm8AzBhDtZxMWJAbUBYOpUoxaFiIioaklIAP74Azh/XswT+v33Yn1yshgrr0ULwMZGq0ObXsRhjkw4g/fllyL+DA4GWrUydmmIiIiqiK+/Bt59V0whBYg2eaoALykJCAoCli/XetwyVtEagolm8FJTgRUrxP133zVuWYiIiKqMLVuACRNEhm7z5qLTfj31FODnB2zapPUpTCviMFcmmsH7/nsgPV3MShISYuzSEBERVRELF4rx7fbtA2rUAKKji27TogVw8KDWp2AGzxBMMIOXlwcsWSLuT5qk997aREREpBITA/TtK4K7kri7A4mJWp+CAZ4hmGAG7/ffgRs3gDp1gGHDjF0aIiKiKkSpBKpXL32bpCRALtf6FAzwDMHEMniSJOYUBsS0ZNbWxi0PERFRldKkSenVr3l5YoqpFi20PgUDPEMwsQze4cNAVJT4YfB4u04iIiLSs2HDgJMngTlzij6Xny9mHbh6tfRpzJ6AAZ4hmFgGb/FicTtiBKclIyIiMghLS2DuXHH/zTeBLl2ADz8EGjcW7aYA4KWXgEaNxBhmPXoAo0drfToGeIZgQhm8K1eAjRvF/XfeMWpRiIiIqg5JEgsg2t/t3AlMmwbcuwecOSOe27ABuH9fzDyweXOFekCaRkrJ3JlQBu/LL8V7qFcvMcwOERERGYGVFTBvHvDRR8CFCyKwUyiAZs10khAyfsRRFZhIBi8tDVi5UtyfONGoRSEiIiJAZOmaNtX5YVlFawgmksFbswbIyBA/Dnr0MGpRiIiIqh4DDjrLAM8QTCCDp1QCX30l7k+YwIGNiYiIDG72bBELlHWpQGKIVbSGYAIZvF27gIsXRfV+BXpdExERkbYUCsDBwSCnYoBnCCaQwfvf/8RtWBhQs6bRikFERFR1TZwIzJplkFOxitYQjJzBu3wZ2L5d3B8/3ihFICIiIgNigGcIRs7gLV0qhkbp00eMn0hERETmjQGevimVBQMbGiGDl5FRMDTKm28a/PRERERkBAzw9E1VPQsYJYP3ww9i/LtGjYCePQ1+eiIiIjICdrLQt8IBnoEzeJKkOTSKBcN5IiIi41AqDXo6fuXrm6r9HWDwDN7evcC5c6LX7KhRBj01ERGRyVm2bBn8/PygUCigUCgQFBSE7Y96Id6/fx9vvvkmmjRpAhsbG3h5eeGtt95CamqqxjFu3LiBvn37wtbWFs7Ozpg8eTLyCn/Xmwhm8PTNiBm8r78Wt6GhYugdIiKiqszDwwMLFixAo0aNIEkS1qxZgwEDBuDkyZOQJAl37tzBZ599Bl9fX1y/fh3jxo3DnTt3sGHDBgBAfn4++vbtC1dXVxw+fBjx8fEIDQ1F9erV8fHHHxv51WmSSZKqB0DVdevWLXh6euLmzZvw8PDQ7cHv3QOcnMT93FyDBXm3bwP16on48vRpoHlzg5yWiIjIYHTx/e3o6IiFCxdi9OjRRZ777bffMHz4cGRmZqJatWrYvn07+vXrhzt37sDFxQUAsHz5ckydOhXJycmwsrKq0OvRJVbR6puROll8/7049dNPM7gjIiLzlp6ejrS0NPWSnZ39xH3y8/Oxbt06ZGZmIigoqNhtUlNToVAoUO1RciYyMhItWrRQB3cAEBISgrS0NJw9e1Y3L0ZHGODpm6pe3sLCYBPA5uUB334r7r/+ukFOSUREZDS+vr6wt7dXL/Pnzy9x29OnT6NmzZqQy+UYN24cNm7cCF9f3yLb3b17F3PnzsXYsWPV6xISEjSCOwDqxwkJCTp6NbrBNnj6ZoRZLLZuFVW0deoAgwYZ7LRERERGERsbC3d3d/VjuVxe4rZNmjRBTEwMUlNTsWHDBowcORL79+/XCPLS0tLQt29f+Pr6Yvbs2fosut4wwNM3I8xisWyZuH3lFaCU9zgREZFZsLOzg6KMvQmtrKzg4+MDAAgICEBUVBSWLFmCb775BoCo7u3Vqxfs7OywceNGVK9eXb2vq6srjh07pnG8xMRE9XOmhFW0+mbgDN7ly8CuXaI2+LXXDHJKIiKiSkupVKrb7KWlpaFnz56wsrLC5s2bYW1trbFtUFAQTp8+jaSkJPW63bt3Q6FQFFvNa0zM4OmbgTN4j36AoFcvoH59g5ySiIioUpg+fTp69+4NLy8vpKenY+3atYiIiMDOnTvVwV1WVhZ++ukndYcNAKhTpw4sLS3Rs2dP+Pr6YsSIEfj000+RkJCAGTNmYPz48aVWCxsDAzx9M2AG7+FDYNUqcZ+dK4iIiDQlJSUhNDQU8fHxsLe3h5+fH3bu3IkePXogIiICR48eBQB1Fa7KtWvX4O3tDUtLS2zduhWvv/46goKCUKNGDYwcORIffvihMV5OqRjg6ZsBM3gbNohh9zw9gT599H46IiKiSuX7778v8bmuXbuiLEMD16tXD9u2bdNlsfSCbfD0zYAZPFXnirFjDT4rGhEREZkQBnj6ZqAM3tmzwOHD4jTFDMZNREREVQgDPH0zUAZPlXXu3x9wc9PrqYiIiMjEmWyAt3TpUnh7e8Pa2hqBgYFFxp0p7LvvvkOnTp1Qq1Yt1KpVC8HBwaVub1AGyOBlZwM//CDuv/qq3k5DRERElYRJBnjr16/HpEmTEB4ejhMnTqBly5YICQnRGHemsIiICAwZMgT79u1DZGQkPD090bNnT9y+fdvAJS+GATJ4mzaJzhXu7mJ4FCIiIqraTDLAW7x4McaMGYOwsDD4+vpi+fLlsLW1xcqVK4vd/ueff8Ybb7wBf39/NG3aFCtWrIBSqcSePXsMXPJiGCCDt2KFuH3lFXauICIiIhMM8HJychAdHY3g4GD1OgsLCwQHByMyMrJMx8jKykJubi4cHR31VcyyU2Xw9BR5XbsG/P23mLnilVf0cgoiIiKqZExuHLy7d+8iPz8fLi4uGutdXFxw/vz5Mh1j6tSpqFu3rkaQWFh2drZ6WhJAzDunN3quolV1rujRA/D21sspiIiIqJIxuQxeRS1YsADr1q3Dxo0bi8whpzJ//nzY29urF73OH6fHKtq8vIKZK9i5goiIiFRMLsBzcnKCpaUlEhMTNdYnJibC1dW11H0/++wzLFiwALt27YKfn1+J202fPh2pqanqJTY2VidlL5YeM3g7dgB37gBOTsCzz+r88ERERFRJmVyAZ2VlhYCAAI0OEqoOE0FBQSXu9+mnn2Lu3LnYsWMH2rRpU+o55HI5FAqFerGzs9NZ+YvQYwZP1bkiNBQwsTmOiYiIyIhMrg0eAEyaNAkjR45EmzZt0K5dO3zxxRfIzMxEWFgYACA0NBTu7u6YP38+AOCTTz7BrFmzsHbtWnh7eyMhIQEAULNmTdSsWdNorwOA3jJ48fHA1q3iPqtniYiIqDCTDPAGDx6M5ORkzJo1CwkJCfD398eOHTvUHS9u3LgBC4uC5OOyZcuQk5ODF154QeM44eHhmD17tiGLXpSeMnhr1ojYsWNHoFkznR6aiIiIKjmTDPAAYMKECZgwYUKxz0VERGg8jouL03+BtKWHDJ4kAatXi/uPkppEREREaibXBs/s6CGDd/QocOECYGsLvPSSzg5LREREZoIBnr7pIYOnGhpl0CBAn/1DiIiIqHJigKdvOs7gPXgArFsn7rN6loiIiIrDAE/fdJzB27QJSEsD6tUDunTRySGJiIjIzDDA0zcdZ/BUnStGjgQs+NcjIiKiYjBE0DcdZvBu3QJ27xb3Q0MrfDgiIiIyUwzw9E2HGbwffhBDpHTuDDRsWOHDERERkZligKdvOsrgcew7IiIiKisGePqmowxeZCRw6RJQowbw2IQdRERERBoY4OmbjjJ4quzdCy8Axp5el4iIiEwbAzx900EG78EDYP16cX/UqIoXiYiIiMwbAzx900EGb8uWgrHvOnfWUbmIiIjIbDHA0zcdZPB++kncDhvGse+IiIjoyRgu6FsFM3h37wLbt4v7w4bpqExERERk1hjg6VsFM3jr14tDtG4N+PrqsFxERERkthjg6VsFM3iq6tkRI3RUHiIiIjJ7DPD0rQIZvMuXgSNHRLu7l1/WcbmIiIjIbDHA07cKZPB+/lnc9ugBuLrqsExERERk1hjg6ZuWGTxJKqieHT5cx2UiIiIis8YAT9+0zOAdPSqqaG1tgYEDdV8sIiIiMl8M8PRNywyeKnv3/POcmoyIiIjKhwGevmmRwcvNBdatE/dZPUtERETlxQBP37TI4O3cCdy7B7i4AN2766lcREREZLYY4OmbFhm8tWvF7ZAhFZrCloiIiKooBnj6Vs4MXmYm8Oef4v7QoXoqExEREZk1Bnj6Vs4M3tatQFYW0KAB0KaNHstFREREZosBnr6VM4On6lzx8suATKanMhEREZFZY4Cnb+XI4KWmAtu2ifucmoyIiIi0xQBP38qRwdu0CcjJAXx9gebN9VssIiIiMl8M8PStHBk8Vs8SERGRLjDA07cyZvCSk4Hdu8V9Vs8SERFRRTDA0zdVBu8JAd7vv4tNAwKARo0MUC4iIiIyWwzw9E2VwXtCFW3h6lkiIiKiimCAp29lyODdvg0cOCDuv/SSAcpEREREZo0Bnr6VIYP322+AJAEdOwJeXgYqFxEREZktBnj6VoYMnqp6dsgQA5SHiIiIzB4DPH17wjAp164BR48CFhbACy8YsFxERERkthjg6dsThknZsEHcdu0KuLgYpkhERERk3hjg6dsTMniqAI/ZOyIiItIVBnj6VkoG7/p14NgxUT37/PMGLhcRERGZLQZ4+lZKBk+VvevcmdWzREREpDsM8PStlAzeb7+JW1bPEhERkS4xwNO3EjJ4N26I3rMyGTBokBHKRURERGaLAZ6+lZDB+/13cdupE+DqauAyERERkVljgKdvJWTwWD1LRERE+sIAT58kqdiZLG7dAiIjxX1WzxIREZGuMcDTJ6Wy4H6hDJ6qerZjR6BuXQOXiYiIiMweAzx9UrW/AzQyeKrq2RdfNHB5iIiIqEpggKdPqupZQJ3Bu30b+OcfsYrVs0RERKQPDPD0qZgM3h9/iIdBQYCHhxHKRERERGaPAZ4+FZPB+/FH8ZDVs0RERIa1bNky+Pn5QaFQQKFQICgoCNu3b1c///DhQ4wfPx61a9dGzZo1MWjQICQmJmoc48aNG+jbty9sbW3h7OyMyZMnI69wQsdEMMDTp8cyeKdOAVFRQPXqwLBhxisWERFRVeTh4YEFCxYgOjoax48fxzPPPIMBAwbg7NmzAICJEydiy5Yt+O2337B//37cuXMHzxeaLD4/Px99+/ZFTk4ODh8+jDVr1mD16tWYNWuWsV5SiWSSJEnGLoSx3bp1C56enrh58yY8dFlvmpAAuLmJ6SqUSkyYACxdKsa+U3W0ICIiIu3o4vvb0dERCxcuxAsvvIA6depg7dq1eOHRILXnz59Hs2bNEBkZifbt22P79u3o168f7ty5A5dHk8gvX74cU6dORXJyMqysrHT22iqKGTx9KjSLRVYW8NNP4uGYMcYrEhERkblJT09HWlqaesnOzn7iPvn5+Vi3bh0yMzMRFBSE6Oho5ObmIjg4WL1N06ZN4eXlhchHg9dGRkaiRYsW6uAOAEJCQpCWlqbOApoKBnj6VGgWiw0bgNRUwNsbKPTeISIiogry9fWFvb29epk/f36J254+fRo1a9aEXC7HuHHjsHHjRvj6+iIhIQFWVlZwcHDQ2N7FxQUJCQkAgISEBI3gTvW86jlTUu3Jm5DWCmXwvvtO3H31VcCCYTUREZHOxMbGwt3dXf1YLpeXuG2TJk0QExOD1NRUbNiwASNHjsT+/fsNUUyDYoCnT48yePkW1XDokBgpJSzMyGUiIiIyM3Z2dlAoFGXa1srKCj4+PgCAgIAAREVFYcmSJRg8eDBycnKQkpKikcVLTEyEq6srAMDV1RXHjh3TOJ6ql61qG1PBXJI+PcrgPcwVY+D17cupyYiIiEyJUqlEdnY2AgICUL16dezZs0f93IULF3Djxg0EBQUBAIKCgnD69GkkJSWpt9m9ezcUCgV8fX0NXvbSmGyAt3TpUnh7e8Pa2hqBgYFFIubH/fbbb2jatCmsra3RokULbNu2zUAlLcWjDF5mtkiUsnMFERGR8UyfPh0HDhxAXFwcTp8+jenTpyMiIgLDhg2Dvb09Ro8ejUmTJmHfvn2Ijo5GWFgYgoKC0L59ewBAz5494evrixEjRuDUqVPYuXMnZsyYgfHjx5daLWwMJhngrV+/HpMmTUJ4eDhOnDiBli1bIiQkRCNiLuzw4cMYMmQIRo8ejZMnT2LgwIEYOHAgzpw5Y+CSP+ZRBi9PsoS7O9Crl3GLQ0REVJUlJSUhNDQUTZo0Qffu3REVFYWdO3eiR48eAIDPP/8c/fr1w6BBg9C5c2e4urriD9UUVAAsLS2xdetWWFpaIigoCMOHD0doaCg+/PBDY72kEpnkOHiBgYFo27YtvvrqKwAiferp6Yk333wT06ZNK7L94MGDkZmZia1bt6rXtW/fHv7+/li+fPkTz6e3cfCOHwfatsUNeGLFzBswwb8/ERFRpaW3728zYHIZvJycHERHR2uMQ2NhYYHg4GD1ODSPi4yM1NgeEOPSlLR9dna2xng56enpunsBhdyKExm8fFhi9Gi9nIKIiIioCJML8O7evYv8/Pxix5kpaYyZksalKWn7+fPna4yXo6+GkbdvA1kyW1jWsEG9eno5BREREVERJhfgGcL06dORmpqqXmJjY/VynsC328MqJxNWl/VzfCIiIqLimNw4eE5OTrC0tFSPK6NSeByax7m6upZre7lcrtHbJS0trYKlLlm1aoCJDY1DREREZs7kMnhWVlYICAjQGIdGqVRiz5496nFoHhcUFKSxPSDGpSlpeyIiIiJzZnIZPACYNGkSRo4ciTZt2qBdu3b44osvkJmZibBH00CEhobC3d1dPdfc22+/jS5dumDRokXo27cv1q1bh+PHj+Pbb7815ssgIiIiMgqTDPAGDx6M5ORkzJo1CwkJCfD398eOHTvUHSlu3LgBi0ITunbo0AFr167FjBkz8P7776NRo0bYtGkTmjdvbqyXQERERGQ0JjkOnqFxHB0iIqLKh9/fJTO5NnhEREREVDEM8IiIiIjMDAM8IiIiIjPDAI+IiIjIzDDAIyIiIjIzDPCIiIiIzAwDPCIiIiIzwwCPiIiIyMwwwCMiIiIyMyY5VZmhKZVKAEB8fLyRS0JERERlpfreVn2PUwEGeAASExMBAO3atTNySYiIiKi8EhMT4eXlZeximBTORQsgLy8PJ0+ehIuLCywsdFtrnZ6eDl9fX8TGxsLOzk6nx6YCvM6GwetsGLzOhsNrbRj6us5KpRKJiYlo1aoVqlVjzqowBnh6lpaWBnt7e6SmpkKhUBi7OGaL19kweJ0Ng9fZcHitDYPX2fDYyYKIiIjIzDDAIyIiIjIzDPD0TC6XIzw8HHK53NhFMWu8zobB62wYvM6Gw2ttGLzOhsc2eERERERmhhk8IiIiIjPDAI+IiIjIzDDAIyIiIjIzDPCIiIiIzAwDPD1aunQpvL29YW1tjcDAQBw7dszYRTJpBw4cQP/+/VG3bl3IZDJs2rRJ43lJkjBr1iy4ubnBxsYGwcHBuHTpksY29+/fx7Bhw6BQKODg4IDRo0cjIyNDY5t///0XnTp1grW1NTw9PfHpp5/q+6WZlPnz56Nt27aws7ODs7MzBg4ciAsXLmhs8/DhQ4wfPx61a9dGzZo1MWjQIPWUfio3btxA3759YWtrC2dnZ0yePBl5eXka20RERKB169aQy+Xw8fHB6tWr9f3yTMayZcvg5+cHhUIBhUKBoKAgbN++Xf08r7F+LFiwADKZDO+88456Ha91xc2ePRsymUxjadq0qfp5XmMTJJFerFu3TrKyspJWrlwpnT17VhozZozk4OAgJSYmGrtoJmvbtm3SBx98IP3xxx8SAGnjxo0azy9YsECyt7eXNm3aJJ06dUp69tlnpfr160sPHjxQb9OrVy+pZcuW0pEjR6SDBw9KPj4+0pAhQ9TPp6amSi4uLtKwYcOkM2fOSL/88otkY2MjffPNN4Z6mUYXEhIirVq1Sjpz5owUExMj9enTR/Ly8pIyMjLU24wbN07y9PSU9uzZIx0/flxq37691KFDB/XzeXl5UvPmzaXg4GDp5MmT0rZt2yQnJydp+vTp6m2uXr0q2draSpMmTZJiY2Ol//3vf5KlpaW0Y8cOg75eY9m8ebP0119/SRcvXpQuXLggvf/++1L16tWlM2fOSJLEa6wPx44dk7y9vSU/Pz/p7bffVq/nta648PBw6amnnpLi4+PVS3Jysvp5XmPTwwBPT9q1ayeNHz9e/Tg/P1+qW7euNH/+fCOWqvJ4PMBTKpWSq6urtHDhQvW6lJQUSS6XS7/88oskSZIUGxsrAZCioqLU22zfvl2SyWTS7du3JUmSpK+//lqqVauWlJ2drd5m6tSpUpMmTfT8ikxXUlKSBEDav3+/JEniulavXl367bff1NucO3dOAiBFRkZKkiSCcQsLCykhIUG9zbJlyySFQqG+tlOmTJGeeuopjXMNHjxYCgkJ0fdLMlm1atWSVqxYwWusB+np6VKjRo2k3bt3S126dFEHeLzWuhEeHi61bNmy2Od4jU0Tq2j1ICcnB9HR0QgODlavs7CwQHBwMCIjI41Yssrr2rVrSEhI0Lim9vb2CAwMVF/TyMhIODg4oE2bNuptgoODYWFhgaNHj6q36dy5M6ysrNTbhISE4MKFC/jvv/8M9GpMS2pqKgDA0dERABAdHY3c3FyNa920aVN4eXlpXOsWLVrAxcVFvU1ISAjS0tJw9uxZ9TaFj6Hapir+D+Tn52PdunXIzMxEUFAQr7EejB8/Hn379i1yPXitdefSpUuoW7cuGjRogGHDhuHGjRsAeI1NFQM8Pbh79y7y8/M13sgA4OLigoSEBCOVqnJTXbfSrmlCQgKcnZ01nq9WrRocHR01tinuGIXPUZUolUq888476NixI5o3bw5AXAcrKys4ODhobPv4tX7SdSxpm7S0NDx48EAfL8fknD59GjVr1oRcLse4ceOwceNG+Pr68hrr2Lp163DixAnMnz+/yHO81roRGBiI1atXY8eOHVi2bBmuXbuGTp06IT09ndfYRFUzdgGIyHjGjx+PM2fO4NChQ8Yuillq0qQJYmJikJqaig0bNmDkyJHYv3+/sYtlVm7evIm3334bu3fvhrW1tbGLY7Z69+6tvu/n54fAwEDUq1cPv/76K2xsbIxYMioJM3h64OTkBEtLyyI9iBITE+Hq6mqkUlVuqutW2jV1dXVFUlKSxvN5eXm4f/++xjbFHaPwOaqKCRMmYOvWrdi3bx88PDzU611dXZGTk4OUlBSN7R+/1k+6jiVto1AoqswXgpWVFXx8fBAQEID58+ejZcuWWLJkCa+xDkVHRyMpKQmtW7dGtWrVUK1aNezfvx9ffvklqlWrBhcXF15rPXBwcEDjxo1x+fJlvp9NFAM8PbCyskJAQAD27NmjXqdUKrFnzx4EBQUZsWSVV/369eHq6qpxTdPS0nD06FH1NQ0KCkJKSgqio6PV2+zduxdKpRKBgYHqbQ4cOIDc3Fz1Nrt370aTJk1Qq1YtA70a45IkCRMmTMDGjRuxd+9e1K9fX+P5gIAAVK9eXeNaX7hwATdu3NC41qdPn9YIqHfv3g2FQgFfX1/1NoWPodqmKv8PKJVKZGdn8xrrUPfu3XH69GnExMSolzZt2mDYsGHq+7zWupeRkYErV67Azc2N72dTZexeHuZq3bp1klwul1avXi3FxsZKY8eOlRwcHDR6EJGm9PR06eTJk9LJkyclANLixYulkydPStevX5ckSQyT4uDgIP3555/Sv//+Kw0YMKDYYVJatWolHT16VDp06JDUqFEjjWFSUlJSJBcXF2nEiBHSmTNnpHXr1km2trZVapiU119/XbK3t5ciIiI0hjzIyspSbzNu3DjJy8tL2rt3r3T8+HEpKChICgoKUj+vGvKgZ8+eUkxMjLRjxw6pTp06xQ55MHnyZOncuXPS0qVLq9SQB9OmTZP2798vXbt2Tfr333+ladOmSTKZTNq1a5ckSbzG+lS4F60k8VrrwrvvvitFRERI165dk/755x8pODhYcnJykpKSkiRJ4jU2RQzw9Oh///uf5OXlJVlZWUnt2rWTjhw5YuwimbR9+/ZJAIosI0eOlCRJDJUyc+ZMycXFRZLL5VL37t2lCxcuaBzj3r170pAhQ6SaNWtKCoVCCgsLk9LT0zW2OXXqlPT0009Lcrlccnd3lxYsWGCol2gSirvGAKRVq1apt3nw4IH0xhtvSLVq1ZJsbW2l5557ToqPj9c4TlxcnNS7d2/JxsZGcnJykt59910pNzdXY5t9+/ZJ/v7+kpWVldSgQQONc5i7V155RapXr55kZWUl1alTR+revbs6uJMkXmN9ejzA47WuuMGDB0tubm6SlZWV5O7uLg0ePFi6fPmy+nleY9MjkyRJMk7ukIiIiIj0gW3wiIiIiMwMAzwiIiIiM8MAj4iIiMjMMMAjIiIiMjMM8IiIiIjMDAM8IiIiIjPDAI+IiIjIzDDAIyIiIjIzDPCIyGi6du0KmUxm7GI80erVqyGTydTLyy+/rNVxpk2bpnGc2bNn67agRESPVDN2AYjIPJQ3UKuMk+gMGDAA/v7+aN68uVb7BwcHw9raGnFxcVizZo2OS0dEVIABHhHpRHh4eJF1X3zxBVJTU4t9DgB++OEHZGVl6btoOjNw4ECMGjVK6/2Dg4MRHByMiIgIBnhEpFcM8IhIJ4qrbly9ejVSU1NLrIr08vLSb6GIiKootsEjIqMprg2eqr3b6tWrsWXLFgQGBsLW1hbu7u6YOXMmlEolAGDNmjVo2bIlbGxs4OXlhYULFxZ7DkmSsHLlSnTs2BEKhQK2trZo06YNVq5cqbPXER8fj7fffhuNGjWCjY0NHBwc0KxZM4wbNw6pqak6Ow8RUVkxg0dEJmnjxo3YtWsXBg4ciI4dO+Kvv/7CRx99BEmSYG9vj48++ggDBgxA165d8fvvv2PKlClwcXFBaGio+hiSJGHYsGH45Zdf0KhRIwwdOhRWVlbYvXs3Ro8ejdjYWHz22WcVKmdWVhY6duyIuLg49OzZE8899xxycnJw7do1/Pjjj3jvvfdgb29f0ctBRFQuDPCIyCRt374d//zzD9q2bQsAmDNnDnx8fPD5559DoVDg5MmTaNCgAQDgvffeg4+PDz777DONAG/FihX45ZdfEBYWhm+++QbVq1cHAOTk5OCFF17AokWLMGTIEAQEBGhdzj179uDatWt455138Pnnn2s8l5GRoT4nEZEhsYqWiEzS8OHD1cEdANjZ2aFfv37IysrC66+/rg7uAMDT0xNPP/00YmNjkZeXp17/1VdfoUaNGli6dKlGoGVlZYV58+YBAH755RedlNfGxqbIupo1a0Iul+vk+ERE5cEMHhGZJH9//yLr3NzcSn0uPz8fiYmJcHd3R1ZWFk6fPo26devik08+KbJ9bm4uAOD8+fMVKmfnzp3h5uaGBQsW4NSpU+jXrx+6dOmCZs2aVYox/ojIPDHAIyKTpFAoiqyrVq3aE59TBW7//fcfJEnC7du3MWfOnBLPk5mZWaFy2tvb48iRI5g1axa2bNmCbdu2ARBZxWnTpuGNN96o0PGJiLTBKloiMkuqIDAgIACSJJW47Nu3r8Ln8vLywurVq5GcnIyTJ0/ik08+gVKpxPjx43VWBUxEVB4M8IjILNnZ2aFZs2Y4d+4cUlJSDHJOCwsL+Pv7Y8qUKerAbvPmzQY5NxFRYQzwiMhsvfXWW8jKysKYMWOKrYq9du0a4uLiKnSOs2fPIjExsch61Tpra+sKHZ+ISBtsg0dEZuu1117DkSNHsGbNGvzzzz8IDg5G3bp1kZiYiPPnz+Po0aNYu3YtvL29tT7H7t27MXnyZHTs2BGNGzdG7dq1cfXqVWzevBnW1tYYP3687l4QEVEZMcAjIrOlmhGjT58++O6777B161ZkZGTA2dkZjRo1wmeffYbg4OAKnSMkJARxcXE4cOAA/vjjD2RkZMDd3R2DBw/GlClT4Ovrq6NXQ0RUdjJJkiRjF4KIyJStXr0aYWFhWLVqFUaNGlXh40VERKBbt24IDw8vcZ5eIqKKYBs8IqIyCgsLg0wmw8svv6zV/tOmTYNMJkO3bt10XDIiIk2soiUiegJ/f3+Eh4erHzdv3lyr4wQHB2t0uujatWtFi0ZEVCxW0RIRERGZGVbREhEREZkZBnhEREREZoYBHhEREZGZYYBHREREZGYY4BERERGZGQZ4RERERGaGAR4RERGRmWGAR0RERGRmGOARERERmZn/A5HcghOc5hQqAAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "It's difficult to see what happens at the beginning for the last two plots, these are plotted again in a short interval\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The temperature settles after around 60 seconds for both cases, which seems to be unreasonalably fast, probably because the heat transfer coefficients are very large\n", "Nevertheless, it can be seen that the temperature growth is very similar in the last two cases this is because the heat of reaction is negligible compared to heat transfer\n", "This is expected since the mol% of A in the reactor is very small: 0.079 i.e. less than 0.1%\n" ] } ], "source": [ "#The expression for reaction rate is defined, the rate velocity coefficient is assumed to following Arrenhius' equation\n", "#The equation found in the calculation sheet is used to define k at any temperature:\n", "def k(k0,T0,T):\n", " return k0*math.exp(E/R*(1/T0-1/T))\n", "#The reaction is elementary, so the reaction is first order. -r_a = kC_a, since volume is constant: C_a = N_a/V. We can now define the reaction rate in terms of X and T:\n", "def r_a(X,T):\n", " return -k(k_298, 298, T)*NA0*(1-X)/V\n", "#Now we can insert into the design equation for a batch reactor, defining our first differential equation:\n", "def design_batch(X,T):\n", " return -r_a(X,T)*V/NA0\n", "#Similar to what's done above, the different part sof the heat balance is defined in functions. The heat balance can be foundin the calculation sheet.\n", "#Since no heat capacity for A and B is given, we assume that the enthalpy is constant, so the term DeltaHrx becomes:\n", "Hrx = HB_298 - HA_298\n", "#The heat capacity of the liquid is said to be constant, so this is easily defined:\n", "CPs = CPliq\n", "#Since the heat capacity is constant, we assume that DeltaC_p = 0\n", "#The last term we need to define is Q, for this we use the overall heat transfer coefficient U\n", "#We need to calculate the areas where heat transfer occurs. The area between the flask and heating block is:\n", "A1 = 2*math.pi*R_sphere*h1\n", "A2 = 2*math.pi*R_sphere**2 - 2*math.pi*R_sphere*h1\n", "#Now the two heat transfers can be defined:\n", "def Q(A,U,T0,T):\n", " return A*U*abs(T0-T)\n", "\n", "#Now we define the system of differential equations for the three cases:\n", "#For the adiabatic case heat transfer is zero, so Q = 0:\n", "def adiabatic(t, z):\n", " X, T = z\n", " return [design_batch(X,T), ((-Hrx)*(-r_a(X,T))*V)/(Ntot0*CPs)]\n", "\n", "#In the second case heat transfer is present:\n", "def transfer(t, z):\n", " X, T = z\n", " return [design_batch(X,T), ((Q(A1,U1,398,T)-Q(A2,U2,298,T))-Hrx*(-r_a(X,T))*V)/(Ntot0*CPs)]\n", "\n", "#In the last case no reaction takes place, so -r_a = 0\n", "def no_reaction(t, z):\n", " X, T = z\n", " return [0, ((Q(A1,U1,398,T)-Q(A2,U2,298,T)))/(Ntot0*CPs)]\n", "\n", "#A function solving the system of equations and plotting the result is defined:\n", "def solve_and_plot_system(system, tspan, start, title):\n", " sol = solve_ivp(system, tspan, start, dense_output=True) # dense_output=True computes a continuous solution\n", " #generating t and solving the system of ODEs\n", " t = np.linspace(tspan[0],tspan[1], 100)\n", " z = sol.sol(t)\n", " \n", " # plotting the solution\n", " fig,ax = plt.subplots()\n", " ax.plot(t,z[0],color = \"blue\")\n", " ax.set_xlabel(\"Time [s]\", fontsize =14)\n", " ax.set_ylabel(\"Conversion\", color = \"blue\", fontsize =14)\n", " ax2=ax.twinx()\n", " ax2.plot(t,z[1],color = \"red\")\n", " ax2.set_ylabel(\"Temperature [K]\",color = \"red\", fontsize =14)\n", " plt.title(title)\n", " plt.show()\n", " \n", "\n", "# The three systems are solved, and their solutions are plotted\n", "print(\"First the three solutions are plotted until conversion is close to 1:\")\n", "print(\"Different time intervals are used for the first plot compared to the others\")\n", "solve_and_plot_system(adiabatic, [0,50000], [0,298], \"adiabatic\")\n", "print(\"Since the heat of reaction is positive, heat is consumed by the reaction, so we expect temperature to drop in the adiabatic case, which is what is observed\")\n", "solve_and_plot_system(transfer, [0,5000], [0,298], \"with heat transfer\")\n", "solve_and_plot_system(no_reaction, [0,5000], [0,298], \"with heat transfer, but no reaction\")\n", "print(\"It's difficult to see what happens at the beginning for the last two plots, these are plotted again in a short interval\")\n", "solve_and_plot_system(transfer, [0,50], [0,298], \"with heat transfer\")\n", "solve_and_plot_system(no_reaction, [0,50], [0,298], \"with heat transfer, but no reaction\")\n", "print(\"The temperature settles after around 60 seconds for both cases, which seems to be unreasonalably fast, probably because the heat transfer coefficients are very large\")\n", "print(\"Nevertheless, it can be seen that the temperature growth is very similar in the last two cases this is because the heat of reaction is negligible compared to heat transfer\")\n", "print(\"This is expected since the mol% of A in the reactor is very small:\",round(NA0/Ntot0*100,3), \"i.e. less than 0.1%\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "ee1ee893-dcf0-40bb-9d1e-c56954c8cf45", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.031415926535897934 0.031415926535897934\n" ] } ], "source": [ "print(A1, A2)" ] }, { "cell_type": "code", "execution_count": 4, "id": "c9a704da-3a18-4fee-8a3f-2e12a7990125", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "solve_and_plot_system(adiabatic, [0,50], [0,298], \"adiabatic\")\n", "solve_and_plot_system(transfer, [0,50], [0,298], \"with heat transfer\")\n", "solve_and_plot_system(no_reaction, [0,60000], [0,298], \"with heat transfer, but no reaction\")" ] } ], "metadata": { "kernelspec": { "display_name": "aimbio", "language": "python", "name": "aimbio" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.18" } }, "nbformat": 4, "nbformat_minor": 5 }