{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from feos.si import *\n", "from feos.pcsaft import *\n", "from feos.eos import *\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ideal mixture" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_json(['hexane', 'octane'], '../../parameters/pcsaft/gross2001.json')\n", "saft = EquationOfState.pcsaft(params)\n", "dia_p = PhaseDiagram.binary_vle(saft, 300*KELVIN)\n", "dia_t = PhaseDiagram.binary_vle(saft, BAR)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "ax[0].plot(dia_p.liquid.molefracs[:,0], dia_p.liquid.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.vapor.molefracs[:,0], dia_p.vapor.pressure/BAR, '-k')\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "\n", "ax[1].plot(dia_t.liquid.molefracs[:,0], dia_t.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vapor.molefracs[:,0], dia_t.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "ax[2].plot(dia_t.liquid.molefracs[:,0], dia_t.vapor.molefracs[:,0], '-g')\n", "ax[2].plot(dia_p.liquid.molefracs[:,0], dia_p.vapor.molefracs[:,0], '-k')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Azeotropic mixture" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_multiple_json([(['acetone'], '../../parameters/pcsaft/gross2006.json'), (['hexane'], '../../parameters/pcsaft/gross2001.json')])\n", "saft = EquationOfState.pcsaft(params)\n", "dia_p = PhaseDiagram.binary_vle(saft, 300*KELVIN)\n", "dia_t = PhaseDiagram.binary_vle(saft, 5*BAR)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "ax[0].plot(dia_p.liquid.molefracs[:,0], dia_p.liquid.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.vapor.molefracs[:,0], dia_p.vapor.pressure/BAR, '-k')\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "\n", "ax[1].plot(dia_t.liquid.molefracs[:,0], dia_t.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vapor.molefracs[:,0], dia_t.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "ax[2].plot(dia_t.liquid.molefracs[:,0], dia_t.vapor.molefracs[:,0], '-g')\n", "ax[2].plot(dia_p.liquid.molefracs[:,0], dia_p.vapor.molefracs[:,0], '-k')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supercritical mixture" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_json(['carbon dioxide', 'hexane'], '../../parameters/pcsaft/gross2001.json')\n", "saft = EquationOfState.pcsaft(params)\n", "T_vec = [350*KELVIN, 450*KELVIN, 500*KELVIN]\n", "c_vec = ['k', 'r', 'b']\n", "dia_p = [PhaseDiagram.binary_vle(saft, T) for T in T_vec]\n", "dia_t = PhaseDiagram.binary_vle(saft, 50*BAR)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "for d,c,T in zip(dia_p, c_vec, T_vec):\n", " ax[0].plot(d.liquid.molefracs[:,0], d.liquid.pressure/BAR, color=c, label=f'{T}')\n", " ax[0].plot(d.vapor.molefracs[:,0], d.vapor.pressure/BAR, color=c)\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "ax[0].legend()\n", "\n", "ax[1].plot(dia_t.liquid.molefracs[:,0], dia_t.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vapor.molefracs[:,0], dia_t.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "for d,c,T in zip(dia_p, c_vec, T_vec):\n", " ax[2].plot(d.liquid.molefracs[:,0], d.vapor.molefracs[:,0], color=c, label=f'{T}')\n", "ax[2].plot(dia_t.liquid.molefracs[:,0], dia_t.vapor.molefracs[:,0], '-g', label=f'{50*BAR}')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$')\n", "ax[2].legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Liquid-liquid equilibrium" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_multiple_json([(['water'], '../../parameters/pcsaft/gross2002.json'), (['octane'], '../../parameters/pcsaft/gross2001.json')])\n", "\n", "saft = EquationOfState.pcsaft(params)\n", "dia_p = PhaseDiagram.lle(saft, 500*KELVIN, np.array([0.5, 0.5])*MOL, BAR, 5000*BAR)\n", "dia_t = PhaseDiagram.lle(saft, BAR, np.array([0.5, 0.5])*MOL, 300*KELVIN, 364*KELVIN)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "ax[0].plot(dia_p.liquid.molefracs[:,0], dia_p.liquid.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.vapor.molefracs[:,0], dia_p.vapor.pressure/BAR, '-k')\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "\n", "ax[1].plot(dia_t.liquid.molefracs[:,0], dia_t.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vapor.molefracs[:,0], dia_t.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "ax[2].plot(dia_t.liquid.molefracs[:,0], dia_t.vapor.molefracs[:,0], '-g')\n", "ax[2].plot(dia_p.liquid.molefracs[:,0], dia_p.vapor.molefracs[:,0], '-k')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heteroazeotropic mixture" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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G8Prrr1O+fHlmzpxJrly5Uu25RowYwfHjx/nmm28Svd9ay7LfllEnf50Ue1+nApOIeCQNkRNxv0D/QKrkrkKV3FX4X43/cTbqLMt+XcaPh35k0S+L+OHADwDkzZaXiAIR1CtYj5r5apIlXRaHk4uIiIh4vtjYWJ566ilGjx5N+vTpU+15Ll26xPvvv0/NmjWpUaNGouvsOLGDk5dOUjt/7RR7XhWYRMQjqcAk4rxs6bPR/KHmNH8oftLJX/78hYW/LGThLwuZuHMiIzaPIMAvgEphlahXoB4RBSMo9UApXZ1ORERExOXYsWMcOXKE8uXL079/fyD1pwMZPnw4J0+e5J133rnlOtcv/HL9SsQpQQUmEfFIGn4jyaFJvlNHgXsK8Ow9z/Js2We5GnuVNUfWsPBgfMHp9aWv8/rS18mZKScRBSNoUKgBdfLX0WThIiIikmZt3LiRZs2aERQUxP79+wkMDEz15/zzzz95//33adCgAZUqVbrlerN/nk2ZXGV4MPODKfbcKjCJiMdSB5OI5wryD6J63upUz1ud92u/z4mLJ1j0yyLmHZzHnJ/nMG77OPyNPxXDKlK/YH3qF6xPqQdKqXgsIh7hwJ8HqDexntMxRMSHHT9+nN27dhPUMIhHSz9KoymN3PK8P0/6mbPnzvJX5b9u+Tp38epF1h9dz3s130vR51aBSUQ8kobIiXiXnME5aV+yPe1Ltic2LpYNRzcw78A85h+cf6O7KVdwLhoUakDDQg2pnb82mdNldjq2iKRRF6IvcD76vNMxRMQXWTgSeYSjkUfJfG9mChcuTFxgnFtec6LPRHN40WHuq3gfNqe97XPWzFeTjiU7pujzq8AkIh5JBSYR7+XvF9+5VDGsIu/UfIcTF0+w4OAC5h2cx/Q90/lq61c3OqAaFmpIo8KNyJ89v9OxRSQNCfALYG3XtU7HEBEfFBcXR+vWrcmaNSuff/A5QUFBbnvutm3bsjdgL5snbSZ37txue97r3F5gMsb4A5uAo9baRsaYt4BuwCnXKv9nrZ3n7lwi4llUYBLxHTmDc9KxVEc6lurItdhrrD6ymh/2/8DcA3Pps6APfRb0oeh9RWlUqBGNizSmUlglAvx0DkxERES8x++//461lrx58/Ltt98SEBDg1qkB1qxZw+TJk3njjTccKS6BMx1MfYC9QMJrGn9srf3oTjekD58ivksFJkkO/e54rkD/wBtzNw2qO4iDfx7kh/0/8MOBH/h0/ad8tPYj7slwDw0LNaRJkSbUK1BPQ+lEJMUZNB+ciKScNWvW0Lx5cwoXLsyKFSvcMpl3QrGxsfTp04dcuXLRt29ftz53Qm69jrAxJhRoCIxO4e2m5OZExAOowOSbjDHpjTEbjDHbjTG7jTFvJ7ivtzHmZ9fyDxMs72eMOei6TzOy+piC9xSkT4U+LGq/iDN9zzC95XQaFW7EDwd+oOW0ltw36D7qTazH8A3DOXzusNNxRURERP5m7Nix1KhRgyxZsvDll186Up/46quv2LRpEx999BHBwcFuf/7r3N3B9AnQF7j5VGQvY0wH4ofOvWSt/cvNuUTEw6hw7LOigZrW2ovGmEBglTFmPpABaAqUsNZGG2PuBzDGFAPaAA8DDwKLjTGFrbWxDuWXVJQ5XWYeL/Y4jxd7nJi4GNYeWcucn+cw++fZ9Jrfi17ze1H6gdI0K9qM5kWbU/z+4nqtEJG7o5cOEUmm2NhYXn31VQYPHkytWrWYOnUq99xzj9tznDlzhn79+lGtWjXatm3r9udPyG0dTMaYRsBJa+3mm+76AigAlAKOA4Nv8fjuxphNxphNp06dSmwVEfEx6mDyPTbeRdfNQNeXBZ4BPrDWRrvWO+lapykw2Vobba39FTgIlHNzbHFAgF8AVfNUZVDdQezvvZ99PfcxsPZAMgRm4K3lb1FiRAkKfVaIlxe9zKrDq4iNU81RRERE3Cc6OpolS5bQs2dP5s+f70hxCeCVV17h/PnzDBs2zPETb+4cIlcZaGKM+Q2YDNQ0xky01p6w1sZaa+OAL7nFBwdr7Shrbbi1NjxHjhzuSy0ijtAQOd9ljPE3xmwDTgI/WmvXA4WBqsaY9caYn4wxZV2rhwBHEjw80rUsse3eOBFx9erVVPwXiBOK3FeEvpX7srrLao69dIyRjUZS+N7CDF0/lKpfV+XBIQ/SbU435h+Yz9VY/f+LyO1pDiYRuVuHDh3i4sWLZMyYkZUrVzJs2DC3z7l03fLly/n66695+eWXKV68uCMZEnJbgcla289aG2qtzUv8cIel1tp2xphcCVZrDuxyVyYR8VxOV98l9bhOKpQCQoFyxpjixA/Zzg5UAF4Bppr4X4LEfhESrTwmPBERGOTMQV7c44HgB+hepjvznprH6b6nmfT4JGrkrcGU3VNo8G0D7h90P+1ntmfWvllcuXbF6bgiIiLiI5YtW0bZsmXp3bs3gKPzHV25coUePXqQP39+3njjDcdyJOQJ1wD+0BhTivgPDL8BPRxNIyIeQx1Mvs1ae9YYsxyIIL4z6Tsb/5++wRgTB9znWh6W4GGhwDF3ZxXPlSVdFtoUb0Ob4m2Ijolm8aHFzNg7g1n7ZjFxx0QyBWaiQaEGPP7Q4zQo1EBXpBMREZG7MnLkSHr16kWhQoXo37+/03F488032b9/P4sXLyZjxoxOxwEcKjBZa5cDy10/t3cig4h4NmMMcXFxTseQFGaMyQFccxWXMgC1gYHARaAmsNwYUxgIAk4Dc4BvjTFDiJ/kuxCwwZHw4vHSBaSjYeGGNCzckJGNRrL8t+XM2DuDmftmMm3PNNIHpKd+wfq0ergVjQo3IjjIubOOIiIi4h2uXbvGCy+8wPDhw2nQoAHffvstWbNmdTTT+vXrGTx4MN26daNWrVqOZknIEzqYRET+QUPkfFYuYJwxxp/4YdpTrbVzjTFBwBhjzC7gKtDR1c202xgzFdgDxAA9dQU5SYpA/0DqFKhDnQJ1GN5gOKuPrGb6nulM3zOdmftmkj4gPQ0KNaBVsVY0LNxQxSaRNEZzMIlIUp08eZKpU6fy8ssv88EHH+Dv7+9onsuXL9OhQwdCQkIYNGiQo1lupgKTiHgsDZHzPdbaHUDpRJZfBdrd4jHvAe+lcjTxYf5+/jyW5zEey/MYn0R8wurDq5m2ZxrT9kzju73fkSEgAw0LN6RVsfjOpgyBGZyOLCIiIg47fPgwoaGhhISEsHv3bjzlYmOvvfYa+/fvZ8mSJY53Ut3MnVeRExFJMl1FTkRSg5/xo2qeqgytP5TIFyL5qdNPdCndhVWHV9Fqeivu/+h+2n3Xjh/2/6Cr0Yn4MjUwichtLFiwgBIlSjBw4EAAjykuLViwgM8++4znnnuOmjVrOh3nH7y6wKQPnyK+SwUmSQ797khSXO9sGtZgGJEvRLK0w1LaFm/LvAPzaDSpEbkG56L7991Z9usyYuM0MlPECcaYCGPMz8aYg8aY1xK5P6sx5ntjzHZjzG5jTGcncoqIb7DW8sknn9CwYUPy5s3Lk08+6XSkG06ePEmnTp0oXrz4jcKXp/HqAtN1mqtFxPeowCQi7uTv50+NfDUY1XgUf7z8B9+3/Z76Bevz7c5vqTm+JmEfh/HSwpfYenyrXptE3MQ1X99woD5QDGhrjCl202o9gT3W2pJAdWCwa14/EZE7cvXqVbp3784LL7xA06ZNWbVqFXny5HE6FgBxcXG0b9+es2fPMmnSJNKnT+90pET5RIFJRHyPCkwi4pQg/yAaFW7ExBYTOfnKSaY+MZVyIeX4bMNnPDrqUR7+/GEGrBzAb2d/czqqiK8rBxy01h5yzdU3GWh60zoWyGzizzgHA38Sf1GI29Ik3yJys507dzJu3Dj69+/P9OnTCQ72nAuADBw4kEWLFjF06FCKFy/udJxbUoFJRDySCkwi4gkyBmak5cMtmdVmFn+8/AcjGo7gvoz38frS18n3aT6qfl2VkZtG8teVv5yOKuKLQoAjCW5HupYlNAx4CDgG7AT6WGvjEtuYMaa7MWaTMWZTTMy/1qBEJI04ffo0AGXKlOHnn3/mnXfewc/Pc0oly5Yto3///rRp04Zu3bo5Hee2PGeviYgkoKGvIuJp7slwDz3Ce7Ci8wp+7fMr79V8jzOXz/D0D0+Ta3AuWk1rxQ/7fyAmTh9cRVJIYm8Gbj77VA/YBjwIlAKGGWOyJLYxa+0oa224tTY8IEAX0xYRmDNnDvnz52fmzJkA5MuXz+FEf3f06FHatGlDkSJF+PLLLz3+M5IKTCLisdTBJHfL/uPzh0jKypstL/9X9f/Y/exuNnffTI8yPVj22zIaTWpE6JBQXlr4EjtO7HA6poi3iwTCEtwOJb5TKaHOwHc23kHgV6Com/KJiJey1vLBBx/QrFkzihQpQrly5ZyO9A9RUVG0aNGCy5cvM2PGDI8asncrKjCJiEfSEDkR8QbGGB7N9Sif1v+Uoy8eZVbrWVQKq8RnGz6j5IiSlB5Zms/Wf8aZy2ecjirijTYChYwx+VwTd7cB5ty0zmGgFoAxJidQBDjk1pQi4lWioqJo3749/fr1o3Xr1qxYsYKQkJtH3zrLWsszzzzDhg0bmDBhAg899JDTkZJEBSYR8UgqMImItwnyD6Jp0aZ81/o7jr10jGH1h+Fv/HluwXM8OORBWk9vzcKDC4mNi3U6qohXsNbGAL2AhcBeYKq1drcx5mljzNOu1d4BKhljdgJLgFettaedSSwi3mDu3Ll88803vPvuu3z77bdkyJDB6Uj/MHjwYMaOHcubb75Js2bNnI6TZBp8LCIeydPHF4uI3M59Ge+jZ7me9CzXk+1/bOfrbV8zccdEpu6eSmiWUDqV7ETn0p3Jnz2/01FFPJq1dh4w76ZlIxL8fAyoe6fb1VXkRNKeS5cukSlTJp544gm2bdtGyZIlnY6UqDlz5tC3b19atmzJf//7X6fj3BF1MImIx1IHk9w1/eqIByn5QEk+ifiEoy8eZVrLaTxy/yMMWDWAAkMLUGdCHabtnsbV2KtOxxQREfFZ06ZNI2/evGzbtg3AY4tLGzdupG3btoSHhzN27FiPuppdUnhXWhFJMzRETkR8TbqAdDxR7AnmPTWP35//nf9V/x/7z+yn1fRWhA4Jpe+Pfdl/Zr/TMUXSBjUwiaQJcXFxvPXWW7Rq1YrChQuTK1cupyPd0qFDh2jUqBH3338/33//PRkzZnQ60h1TgUlEPJIKTJIcuoqceLrQLKG8Ue0NDj13iPlPzadK7ioMWTuEIsOKUGNcDabsmqKuJhERkWS4dOkSrVu35u2336ZTp04sXbqUnDlzOh0rUSdPnqRevXrExMQwb948j835b1RgEhGPpAKTiKQF/n7+RBSM4LvW33HkhSMMqDmA387+RpsZbcj9cW76L+3P4XOHnY4pIiLidYYNG8aMGTP46KOPGDNmDOnSpXM6UqLOnTtH/fr1OXr0KD/88IPXXDEuMSowiYhHUoFJRNKaXJlz0a9qP3557hfmPTmPsiFlGbByAPk+zUeTSU2Yf2A+cTbO6ZgiIiIe7dq1awC8+OKLrFy5kpdeesljLyB0+fJlGjduzI4dO5gxYwYVKlRwOlKyeHWBSR8+RXyXCkwiklb5GT/qF6rP922/59c+v/Ja5ddYf3Q9Db5tQOHPCvPx2o85G3XW6ZgiXk1XkRPxTRMmTKB48eKcPHmSwMBAKleu7HSkW4qKiqJp06asWrWKCRMmUL9+facjJZtXF5iu89RqpIjcPf1di4hAnmx5eK/Wexx54QiTHp9EzuCcvLjoRUKHhPLsD8+y59QepyOKiIg4LjY2ltdee40OHTrw4IMP4u/v73Sk24qOjubxxx9n8eLFjBkzhjZt2jgdKUX4RIFJRHyTOphEROIF+QfRpngbVndZzebum2n5cEvGbB3Dw58/TO3xtZnz8xwNnxMRkTTpwoULNG/enIEDB9KjRw8WLVrEvffe63SsW4qKiqJFixbMmzePESNG0KlTJ6cjpRgVmETEI2mInCSHriInvuzRXI/yddOvb0wK/vOZn2k6uSlFhhVh2IZhXLx60emIIiIibvPKK68wb948hg0bxhdffEFgYKDTkW7p8uXLNG3a9EZxqUePHk5HSlFuLzAZY/yNMVuNMXNdt+8xxvxojDng+p7d3ZlExPOowCQicns5MuWgX9V+HHruEJMfn8y9Ge6l9/zehH0cRt8f+3Lk3BGnI4qIiKSauLj4zt333nuPxYsX07NnT4+eZuP8+fM0aNCAH3/8ka+++srnikvgTAdTH2BvgtuvAUustYWAJa7bIpLGqcAkIpI0gf6BtC7emnX/WceaLmuok78Og9cOJt+n+Xjqu6fY9sc2pyOKiIikqNGjR1OnTh2uXr3KvffeS/Xq1Z2OdFunT5+mVq1arFq1iokTJ9KlSxenI6UKtxaYjDGhQENgdILFTYFxrp/HAc3cmUlEPJMKTJIs+tWRNKpiWEWmtpzKoecO8XyF5/n+5+8pPbI0dSbUYdEvi/S6KiIiXi0mJobnn3+ebt26ERgYSFRUlNOR/tXvv/9OlSpV2LVrFzNnzuTJJ590OlKqcXcH0ydAXyDhLJQ5rbXHAVzf73dzJhHxQJ7c3ioi4unyZMvDR3U/4vALhxlYeyC7T+6m3sR6lB5Zmm92fENMXIzTEUUcZdD7DBFv89dff9GgQQM+/fRTnn/+eebOnUuWLFmcjnVb27Zto1KlSpw4cYJFixbRuHFjpyOlKrcVmIwxjYCT1trNd/n47saYTcaYTadOnUrhdCLiiXSmXe6WJvkWiZctfTb6Vu7Lr31+ZUyTMVyLu0a7me0o/Flhvtj4BVExnn/mV0REBODJJ59k+fLljB49mo8//piAgACnI93WwoULqVq1Kn5+fqxcuZKqVas6HSnVubODqTLQxBjzGzAZqGmMmQicMMbkAnB9P5nYg621o6y14dba8Bw5crgrs4g4REPkRERSTrqAdHQu3Zmdz+xkdpvZ3J/pfp6d9yz5Ps3Hh6s/5Hz0eacjioiI3NagQYNYvHgxXbt2dTrKv/riiy9o2LAhBQoUYN26dRQvXtzpSG7htgKTtbaftTbUWpsXaAMstda2A+YAHV2rdQRmuyuTiHguFZhERFKen/GjSZEmrO26lqUdlvLI/Y/w6uJXyfNJHt5c9iZ/XvnT6Ygi7qERciIez1rLsGHDePbZZ7HWUrx4cR577DGnY91WTEwMvXv35tlnnyUiIoKVK1cSEhLidCy3ceIqcjf7AKhjjDkA1HHdFpE0TnMwiYikHmMMNfLVYFH7RWz4zwZq5K3B/1b8j7yf5KX/0v6cuXzG6YgiIpKGXbt2jWeeeYbevXsTGRnJtWvXnI70r06fPk3dunUZNmwYL730ErNnzyZz5sxOx3IrRwpM1trl1tpGrp/PWGtrWWsLub4n+dSZuhtEfJv+xkVEUl/ZkLJ81/o7djy9g/qF6jNg5QDyfJKH1xa/xqlLmvdSRETc68yZM9StW5eRI0fy2muvMWvWLIKCgpyOdVubN28mPDycNWvWMHbsWD766CP8/f2djuV2ntDBlGzqdBDxPRoiJyLiXo/kfIQpT0xh17O7aFq0KYPWDCLfp/not7ifOprE5+gqciKeKS4ujlq1arF27VomTJjA+++/j5+f55YtrLV89dVXVK5cmbi4OFauXEnHjh3//YE+ynP/p0QkTVOBSZJDV5ETuXvFchTjmxbfsOfZPTQp0oSBqweS79N8vLnsTc5GnXU6noiI+DA/Pz8GDBjA8uXLadeundNxbuvixYt06tSJ//znP1StWpXNmzdTtmxZp2M5SgUmEfFIKjCJiDiryH1F+Pbxb9nxzA7qFqjL/1b8j3yf5uO9Fe9x6eolp+OJiIiPsNby0Ucf8fnnnwPQoEEDKlSo4HCq29u2bRvh4eFMmDCBt956iwULFqCr3avAJCIeSgUmERHPUPz+4kxvNZ2tPbZSNXdV+i/rT4GhBRi+YThXY686HU9ERLxYdHQ0nTt35pVXXmHVqlUe//4/Li6OTz75hPLly3P+/HmWLFnCm2++mSbnW0qMCkwi4pFUYJJk0a+OSIor9UAp5rSdw5ouayhyXxF6ze9F0WFFmbhjIrFxsU7HExERL/PHH39Qo0YNxo0bx1tvvcXEiRM9en7lo0ePEhERwQsvvEC9evXYvn07NWrUcDqWR1GBSUQ8kicfXERE0rKKYRVZ3nE585+aT7b02Wg/sz1lRpXhx19+dDqaiIh4iYsXL1KhQgW2bdvGtGnTePPNNz12Mm9rLd988w3Fixdn9erVjBgxgtmzZ2tIXCI8839QRATUwSR3TZN8i6QuYwwRBSPY1H0T37b4lvPR56k7sS71JtZjx4kdTscTEREPFxwcfGNY3BNPPOF0nFs6fvw4zZs3p127dhQrVoxt27bRo0cPnQy/BRWYRMQjaYiciIjn8zN+tH2kLXt77mVI3SFsPLqRUiNK0Xl2Z46eP+p0PBER8SDWWt59912WLl0KQM+ePXn00UcdTpU4ay1jxoyhWLFiLFy4kEGDBrFixQoKFSrkdDSPpgKTiHgkFZhERLxHuoB0vFDxBX557hdeqvgS3+78lsLDCvPuine5cu2K0/FERMRhly9fpm3btrzxxhvMnDnT6Ti3tW/fPmrUqEHXrl0pUaIE27dv5+WXX9ZE3kmgApOIeCQVmEREvE/2DNkZVHcQe3vuJaJgBG8se4Oiw4syZdcUvaaLR9HwFhH3OXr0KI899hhTp07lgw8+YOjQoU5HStTly5fp37//jaLSyJEjWbZsGYULF3Y6mtfw6gKT3qiI+C4VmEREvFf+7PmZ0WoGyzouI3v67LSZ0YbHxj7Gtj+2OR1NRETcKDIykrJly/Lzzz8ze/ZsXn31VY8r8FprmTlzJsWKFeO9996jTZs27Nu3j+7du3vsxOOeyif2lqf9gopI8qnAJCLi/arnrc7m7psZ1WgU+07vo8yoMvSa14u/rvzldDQREXGDkJAQ2rZty5o1a2jcuLHTcf5h586d1KlThxYtWpA5c2aWL1/O+PHjyZkzp9PRvJJPFJhExPeocOybjDHpjTEbjDHbjTG7jTFv33T/y8YYa4y5L8GyfsaYg8aYn40x9dyfWkSSw9/Pn25lurG/136eDX+WLzZ9QeFhhRm9ZTRxNs7peCIiksLi4uJ49913+eWXXzDGMHjwYB555BGnY/3NH3/8QY8ePShVqhRbtmzhs88+Y+vWrVSrVs3paF5NBSYR8VjqYPJJ0UBNa21JoBQQYYypAGCMCQPqAIevr2yMKQa0AR4GIoDPjTH/OsOiRb87Ip4me4bsfNbgM7Z030LR+4rS7ftuVP26KjtP7HQ6moiIpJCLFy/y+OOP88Ybb/Dtt986HecfLly4wFtvvUXBggUZM2YMvXv35uDBg/Tq1YuAgACn43k9FZhExCNpiJxvsvEuum4Gur6u/0d/DPRNcBugKTDZWhttrf0VOAiUc1deEUl5JR8oyYpOKxjbdCz7z+yn9MjSvLLoFS5evfjvDxYREY/1+++/U7lyZebMmcMnn3xC//79nY50Q1RUFJ988gkFChTg7bffpn79+uzZs4dPPvmEe+65x+l4PkMFJhHxSCow+S5jjL8xZhtwEvjRWrveGNMEOGqt3X7T6iHAkQS3I13Lbk+/OiIezRhDx1Id2ddzH51LdeajtR/x8OcPM+/APKejiYjIXdi1axdly5bl999/Z968efTp08cjpryIjo7miy++oGDBgrzwwguUKFGC9evXM23aNAoVKuR0PJ+jHjAR8UgqMPkua20sUMoYkw2YaYwpAbwO1E1k9cTemST6i2GM6Q50B/B/8F9H0YmIB7g347182eRLOpXqRPe53Wn4bUPaFm/LJxGfcH+m+52OJ2nAzJkzmTFjhtMxRLxeTEwMGTJkoEKFCkyYMIEJEyY4HQlrLStWrCAyMpLKlSszfvx4atas6XQsn6YCk4h4JBWYfJ+19qwxZjnxw+DyAdtdZ7pCgS3GmHLEdyyFJXhYKHDsFtsbBYwCSBeWTr88Il6kcu7KbOm+hYGrB/LuindZ+MtCPq73Me1LtPeIM+Die4zr/MWQIUPYtGkTISH/3hwrIv909uxZsmTJgp+fH4GBgezZs8fpSH9TpEgRxowZQ+3atXU8cQMVmETEI6nA5JuMMTmAa67iUgagNjDQWnt/gnV+A8KttaeNMXOAb40xQ4AHgULAhn97Hk3yLeJ90gWk47/V/ssTxZ6g2/fd6DirI1N3T2Vko5GEZNGHf0kdFy9epE6dOsyZM8fpKCJe5dy5c7Rt25b58+czcOBAunbt6nQk8QCag0lEPJIKTD4rF7DMGLMD2Ej8HExzb7WytXY3MBXYAywAerqG2ImIjyqWoxgrO6/kk3qfsPTXpTz8+cOM3TZWxwRJFRcvXiQ4ONjpGCJe5eDBg1SsWJEff/yRESNGqLgkN6iDSUQ8kgpMvslauwMo/S/r5L3p9nvAe6kYS0Q8jJ/xo0+FPjQs3JAus7vQeXZnpu2ZxujGo8mVOZfT8cSHqMAkcmfWrFlDo0aNMMbw448/Ur16dacjiQfx6g4mffgU8V0qMImISMF7CrK803I+jfiUpb8u5ZEvHmH6nulOxxIfcvHiRTJlyuR0DBGvERYWRunSpdmwYYOKS/IPbiswGWPSG2M2GGO2G2N2G2Pedi1/yxhz1BizzfXV4C62nfKBRcRR+rsWERGI72Z6rvxzbO2xlXzZ89FyWkvaz2zPuahzTkcTL2et5dKlS+pgEvkX165dY9SoUcTFxREWFsaSJUsoUKCA07HEA7mzgykaqGmtLQmUAiKMMRVc931srS3l+prnxkwi4sHUwSQiItcVva8oa7qs4c1qbzJp5yRKjSzFmiNrnI4lXuzKlStYa9XBJHIbf/75JxEREfTo0YNFixY5HUc8nNsKTDbeRdfNQNeXPj2KSKI0RE6SQ1eRE/FNgf6BvFX9LVZ1WYXBUPXrqvzvp/8RExfjdDTxQpcuXQJQgUnkFvbu3Uv58uVZtWoVY8eOJSIiwulI4uHcOgeTMcbfGLMNOEn8lYPWu+7qZYzZYYwZY4zJ7s5MIuKZVGASEZFbqRBagW1Pb+PJR57kzeVvUnNcTSLPRzodS7zM9QKThsiJ/NOiRYuoUKEC58+fZ9myZXTs2NHpSOIF3FpgstbGWmtLAaFAOWNMceALoADxw+aOA4MTe6wxprsxZpMxZtOpU6fclFhEnKICkySLfnVEfF6WdFmY0HwCE5pPYMvxLZQaUYp5BzTTgiSdOphEbi1TpkwULVqUjRs3UqlSJafjiJdw5Cpy1tqzwHIgwlp7wlV4igO+BMrd4jGjrLXh1trwHDlyuC+siDhCBSYREUmKdiXasaXHFkKzhNLw24a8+uOrGjLnQ4wxEcaYn40xB40xr91inequiwXtNsb8lMTt3igwZcyYMQUTi3iv6OhoZs+eDUDlypVZt24duXPndjiVeBN3XkUuhzEmm+vnDEBtYJ8xJleC1ZoDu9yVSUQ8lwpMIiKSVIXvLczarmt5uszTfLjmQ2qNr8UfF/9wOpYkkzHGHxgO1AeKAW2NMcVuWicb8DnQxFr7MNAyqdu/fPkyoA4mEYCTJ09Su3ZtmjVrxq5d8R/JdVVnuVPu7GDKBSwzxuwANhI/B9Nc4ENjzE7X8hrAC27MJCIeSgc0SQ5N8i2S9mQIzMAXjb5gQvMJbDy6kdIjS7Py95VOx5LkKQcctNYestZeBSYDTW9a50ngO2vtYQBr7cmkbvx6gUkdTJLW7dixg3LlyrFp0yYmTZpE8eLFnY4kXsqdV5HbYa0tba0tYa0tbq39n2t5e2vtI67lTay1x92VSUQ8mzqYRETkTrUr0Y71/1lP5qDM1BhXg2Ebhul44r1CgCMJbke6liVUGMhujFlujNlsjOmQ1I2rwCQCs2fPplKlSly7do2VK1fSpk0bpyOJF3NkDiYRkX+jIXIiInK3Hsn5CBu7baRh4Yb0nt+brnO6EhUT5XQsuXOJtTPf/OYgACgDNATqAW8YYwonurEEFw2Kjo7WEDkR4PTp0xQrVoyNGzcSHh7udBzxciowiYhHUoFJRESSI2v6rMxsPZM3q73J19u+ptrYahy/oEZ5LxMJhCW4HQocS2SdBdbaS9ba08AKoGRiG0t40aB06dLdKDBlyJAh5ZOLeLCoqCjWrFkDQNeuXVm9ejUPPvigw6nEF3h1gUkfPkV8lwpMIiKSXH7Gj7eqv8V3rb5j98ndlP2yLFuOb3E6liTdRqCQMSafMSYIaAPMuWmd2UBVY0yAMSYjUB7Ym5SNq4NJ0qLjx49TrVo16taty8mT8VOWBQYGOpxKfIVXF5iu02TAIr5HBSZJDk3yLSIJNX+oOau7rMbfz58qY6owfc90pyNJElhrY4BewELii0ZTrbW7jTFPG2Oedq2zF1gA7AA2AKOttUm6KvWVK1cAdTBJ2rF582bKli3L7t27mThxIvfff7/TkcTH+ESBSUR8jwpMIiKSkko+UJIN/9lAqQdK0XJaSwatHqTjjBew1s6z1ha21haw1r7nWjbCWjsiwTqDrLXFXBcS+iQp2zUYLl++jL+/v7o3JE2YOnUqVatWxd/fn9WrV9OsWTOnI4kPUoFJRDySCkwiIpLScgbnZGnHpbR6uBV9F/fl2R+eJSYuxulY4pDLly+re0nSjNWrV/Poo4+yceNGSpZMdJoykWQLcDqAiEhiVGCSZNGvjojcQvqA9Ex6fBL5suVj4OqBHDl/hKktp5IxUJeqT2uuXLmiApP4tEuXLnH06FEKFy7M4MGDiY2NJV26dE7HEh+mDiYR8UgqMImISGrxM358UPsDvmj4BfMPzqfW+FqcuXzG6VjiZiowiS87cuQIVapUoW7dukRHRxMQEKDikqQ6FZhExCNp8n5JDk3yLSJJ8XT400xrOY2tx7dS5esqHDl3xOlI4kZRUVEqMIlPWrt2LWXLluXQoUN8/vnnKiyJ26jAJCIeSx1MIiKS2lo81IJF7Rdx7MIxqnxdhf1n9jsdSdxEHUzii8aPH0/16tUJDg5m7dq1NGjQwOlIkoaowCQiHklD5ERExF0ey/MYyzsu58q1K1QZU4Vtf2xzOpK4gQpM4mvi4uKYMGEClStXZv369RQrVszpSJLGJKnAZOKFpXYYEZHrNERORETcqXSu0qzsvJL0AempMa4GG49udDpSijobdZaBqwY6HcOjREVFkT59eqdjiCTb+fPnOXXqFH5+fsyYMYOFCxdy7733Oh1L0qAkXUXOWmuNMbOAMqkbR0Qk3vUCk7VWxSYREXGLIvcVYUXnFdQcV5Na42sx/6n5VM5d2elYdywmLoZdJ3exPnI9646uY13kOvad3ud0LI9z5coVsmTJ4nQMkWQ5dOgQjRs35r777mP58uX6nRZHJanA5LLOGFPWWutbp3NExCOpwCTJoUm+ReRu5c2W90aRKeKbCBY8tcDji0zHLhyLLyZFrmPd0XVsOraJy9cuA5AjYw7Kh5an9cOt+WDVB0QT7XBaz6EOJvF2y5cv54knniAuLo6hQ4fqPbM47k4KTDWAHsaY34FLgCG+ualEqiQTkTQtYYFJRETEnUKzhPJTp5+oPq66xxWZomKi2Hp8K+si17E2ci3rItdx5Hz81e8C/QIp9UAp/lP6P5QPLU+F0Arky5YPYwyLDy0mOlbFpYR0FTnxZqNGjaJnz54ULFiQOXPmUKhQIacjidxRgal+qqUQEbmJzsCIiIiTcmXOxbKOy6gxrgYR30SwuP1iyoeWd2sGay2Hzx2+UUhaF7mOrX9s5WrsVQDyZM1DxbCKvBj6IuVDylM6V2nSByTekTNt9zQyBmbkMpfd+U/wWAZDVFSULt8uXuny5ct8+OGH1K5dm8mTJ5M1a1anI4kAd1Bgstb+bozJDhQCEh65fk/xVEmkzgYR36e/c7kr+rURkRTwYOYHWdphKdXGViPimwiWdVxGqQdKpdrzXbl2hU3HNt0oKK2NXMsfF/8AIENABsIfDOf58s9TIbQCFUIrkCtzriRt90L0BSbvnszjDz3OBCakWn5voyFy4m3Onj1LhgwZyJgxIz/99BMPPPAA/v7+TscSuSHJBSZjzH+APkAosA2oAKwFaqZKsjugTgcR36Mhcp7JGBNqrY28xX2NrbXfuzuTiEhqCskSwpIOS6j6dVXqTKjDys4rKXpf0WRv11rLb2d/Y23kWtYeWcvayLVsP7GdmLgYAApkL0Dt/LWpEBJfTCqRswSB/oF39VwjNo3gfPR5epbtqQLTdQZ1MIlX2b9/P40bN6Z69eqMHDmSkJAQpyOJ/MOdDJHrA5QF1llraxhjigJvp04sEUnrVGDyWEuMMfWstb8lXGiM6QK8DqjAJCI+J0+2PDeKTHUn1GVVl1Xkzpr7jrZx+dplNh/bzNrItaw5soZ1kes4cekEAJkCM1EupBx9K/W90Z2UI1OOFMl+8tJJBqwaQL0C9dw+xM/TRUdHq4NJvMKPP/5Iq1atCAgIoH379k7HEbmlOykwRVlro4wxGGPSWWv3GWOKpFoyEUnT/Pz8AIiLi3M4idzkBeBHY0wDa+0BAGNMP+BJoJqjyW6iKxCKSEoqdG8hFrZbSLWx1W4Ume7LeF+i6/5bd1LBewpSt0BdKoZWpEJoBR7J+QgBfnfytjxp4mwcXWZ34fK1y3xc7+MU3743s9YSExOjDibxaNZahg0bxgsvvECxYsWYM2cOefPmdTqWyC3dyZEs0hiTDZhF/IeLv4BjqRFKREQdTJ7JWjvPGBMNzDfGNAP+Q3x362PW2r8cDXcTi8WgApOIpJySD5Tk+7bfU3diXRpPasySDkviJ86+djl+7qQja1l3dB1rj6z9W3dS2ZCyvFLplRsFpZTqTroday3PL3ieHw78wLD6w3gox0Op/pxexfX2QleRE092/PhxXn/9dRo1asSECRPInDmz05FEbutOJvlu7vrxLWPMMiArsCCpjzfGpAdWAOlczzvdWvumMeYeYAqQF/gNaOVpH1JExP1UYPJc1tolxphOwHJgDVDLWhvlaKhE9FvcD38/TXwpIimvQcEGfLfvOzINyMQDmR7gxKUTWFfFInv67IRkDqHkAyUJyRzC/Znux8/Ed+WujYzvZkptl69dZu7+ufzy1y+8WOFFni37bKo/p9dxvb1QB5N4ogsXLhAcHMyDDz7IunXrKFq06I3ufhFPdieTfKcHngWqEP+SvAq4k9/yaKCmtfaiMSYQWGWMmQ+0AJZYaz8wxrwGvAa8egfbFREfpKFNnskYc4H4Y4Ah/oRBLeCkif8Ps9baLE7mS2jI2iH6PRKRVOOHH3HEceLSCQwGP+OHwXDx6kV+PvMzP5/52bFs1lpibAxNizTlo7of6bUwEddPYKnAJJ5m165dNGnShOeff57nnnuOYsWKOR1JJMnuZIjceOAC8JnrdltgAtAyKQ+28a/iF103A11fFmgKVHctH0f8GXEVmEQEUAeTp7HWek1vdvQb0Te6BkRE0pJLVy8R/H4wlcIqeWxxyRjzqrV2oGMB1MEkHmju3Lm0bduW4OBgKlSo4HQckTt2JwWmItbakgluLzPGbL+TJzPG+AObgYLAcGvtemNMTmvtcQBr7XFjzP13sk0R8U0aIifJpfmXRCStyhiYkUC/QP688qfTUW4wxkxNeBMoBThWYFIHk3gSay0fffQRr776Ko8++iizZs0iNDTU6Vgid+xOTu1uNcbcKKMaY8oDq+/kyay1sdbaUkAoUM4YUzypjzXGdDfGbDLGbDp16tSdPK2IeCEVmCS5PPWsvYhIajPGkD1Ddv664lHTmp631rZyfbUEFjuaRh1M4kG2bt3Kq6++SsuWLVmxYoWKS+K1/rWDyRizk/iX4ECggzHmsOt2HmDP3TyptfasMWY5EAGcMMbkcnUv5QJO3uIxo4BRAOHh4frEKeLjVGDyTMaYisA6q/8YERGPlj19ds5Gn3U6RkLv3XT7dUdSuKiDSTzB1atXCQoK4tFHH2XVqlVUrFhRJ8jEqyWlg6kR0Jj4YlA+oBrxcyblAxom9YmMMTmMMdlcP2cAagP7gDlAR9dqHYHZSd2mPt+I+C4VmDxWR2CzMWayMaaTMeYBpwOJiMg/eUoHkzFmsTGmpLX214TLrbXOjt9TB5M4bOvWrRQtWpQff/wRgEqVPHfONJGk+tcOJmvt7yn0XLmAca55mPyAqdbaucaYtcBUY0xX4DBJnDQ8If0hivgeFZg8k7X2aQBjTFGgPjDWGJMVWAYsAFZba2MdjCgiIkC29Nk4ffm00zEA+gIfG2N+B/7v+tyrTrOog0mcM2PGDDp06MA999zDvffe63QckRRzJ5N8J4u1dgdQOpHlZ4i/zLWIyA0qMHk2a+0+4rtQP3Z1pdYg/gTBECDcyWwAmt9bRNK67Omzc+DMAadjYK3dAtQ0xjwOLDDGfAd8aK294myw+G9BQUGOxpC0xVrLO++8w5tvvkmFChWYOXMmDzygZnDxHbp+s4h4JBWYvIe19oq1dp61tre11vnikoiIxM/BFHXW6RgAmPiD+s/AF0Bv4IAxpr2TmTQHkzhh1qxZvPnmm3To0IFly5apuCQ+518LTMaYikZj0ETEzVRg8k3GmPTGmA3GmO3GmN3GmLddywcZY/YZY3YYY2Zen7PPdV8/Y8xBY8zPxph6joUXEfEi2dJn42zUWcePo8aYVcBR4GMgBOhE/Hyu5YwxoxwLpg4mcaO4uDgAmjVrxpw5cxg7dizp06d3OJVIyktKB5MmdBURt1Nd2zMZYz5K5iaigZrW2pJAKSDCGFMB+BEobq0tAewH+rmerxjQBniY+ItNfO6ay09ERG4jW/psxNpYLl696HSUp4EQa20da+0b1tq51tqD1treQFXHUqnAJG6yfv16SpQowcGDBzHG0LhxY73PFZ/1rwUma+3T1tpHgbeA7MRP6LrWGDPAGPOY3uiLSGpy+syr/EPN5DzYxrv+aSfQ9WWttYustTGu5euAUNfPTYHJ1tpo1xWIDgLl/u15jCZhEpE0Llv6bACciz7naA5r7S5764N5kq9IndI0RE7c4ZtvvqFatWpcvnyZq1evOh1HJNUleQ4ma+0+a+3H1toI4j9grCJ+Qtf1qRVORNIuDZHzXcYYf2PMNuAk8KO19ubjSBdgvuvnEOBIgvsiXcsS2253Y8wmY8wm/d6ISFp3vcDkKfMwJcZae8i5J4//pg4mSQ1xcXH83//9H+3ataNChQps2LCBYsWKOR1LJNXd1VXkXFd9mOf6EhFJcX5+8fXv62PWxWOUNMb8CuwEdiX4vs9aey0pG7DWxgKlXPMszTTGFLfW7gIwxrwOxADfuFZPrBUp0eqRtXYUMArAL8RPFSYRSdOyps8KeHaByUnWdShRgUlSw9ChQ3n//ffp1q0bw4YN0++ZpBl3VWASEUlt6mDyWDuIH9JQHHgEqAu8BBQyxhyx1hZP6oastWeNMcuJn1tplzGmI9AIqJVgOEUkEJbgYaHAsWT/K0REfNyNIXJRzg6R81jqYJJUYK3FGEOPHj3IkSMHTz75pOZbkjQlyUPkRETcSQUmz2WtPeaaM2mwtbaztTYcyAY0/7fHGmNyXL9CnDEmA1Ab2GeMiQBeBZpYay8neMgcoI0xJp0xJh9QCNiQsv8iERHfkzVdfAeT03MweSwVmCSFrVq1iho1anD+/HkyZMjAU089peKSpDlJLjAZY+obY9a7LhM91RhTMTWDJYU+eIr4LhWYPNbwxBa6Ju8+kITH5wKWGWN2ABuJn4NpLjAMyAz8aIzZZowZ4drubmAqsAdYAPR0DbETEZHbuD5ETh1Mibv+/iIwMNDhJOILvvrqK2rWrMmxY8c4c+aM03FEHHMnQ+Q+B9oR/ya/DDDIGDPcWjspVZKJSJqmMz6eyVo7OpmP3wGUTmR5wds85j3gvTt5Hl1FTkTSuizpsgDqYLqdgIAAvd+QZImJiaFv3758/PHH1KlThylTppA9e3anY4k45k6GyJ2w1q621v5lrV0M1ANeT6VcIiKAOphERETuRoaADAT4BWiS71uw1mp4nCTbq6++yscff8xzzz3HvHnzVFySNO9OOph+M8a8C/zPWnsVuAZcSJ1YIpLWaYicJItOSItIGmeMIWu6rFyI1tv1RFkNj5Pke+GFF3jkkUfo1KmT01FEPMKddDBZoAVwxBizCjgILDfGFEqVZCKSpqnAJCIikjxZ02fVELlbsZrgW+7OkiVL6NChA7GxsYSGhqq4JJJAkjuYrLVtAYwx6Ym/PHVJ19doY0x+a23Y7R6fGqKjowGYMWOGu59axGdcvXqVQ4cOkT9/fo96o7VlyxYAIiMjCQ0N1RwJIiIidyhruqycjz7vdAyPZK1VB5Pcsc8//5znnnuOokWLcubMGe6//36nI4l4lDsZIgeAtTYK2OT6ctSGDfFXqn7iiSccTiIiqaVSpUrcd999hIeHU65cOSpUqECFChU0xl1ERORfZEmXRQWmW9EQObkD165do0+fPnzxxRc0atSIb775hixZsjgdS8Tj3HGByZM89NBDrFq1is2bNzsdRcQrjR49mqFDh1KzZk2yZcvG0qVLOXv2LJkzZ6ZWrVo0bNiQ8PBw/P393Z7t3Llz/Pbbb/z1119s376dDRs28O677xIXFwdAsWLFqFKlCtWqVaNatWqEhIS4PaN4Ll1FTkQEMqfLTOT5SKdjeCSLJvmWpOvYsSOTJk2ib9++DBgwwJH3xiLewKsLTP7+/mTKlIlHHnnE6SgiXmfhwoUMGzaMNm3a8O2332KM4dq1ayxdupRJkybx3XffMWvWLEJCQmjXrh0dO3bkoYcecmvGKlWq/O32xYsX2bhxI2vWrGHVqlVMnjyZUaNGAVC4cGFq165N3bp1qVGjhs4qiYhImpclXRZN8n0rmoNJ7sBzzz1HREQEHTp0cDqKiEcz3jiBbnh4uN20aRPdu3fn+++/5/jx405HEvEqv/zyC+Hh4eTOnZs1a9aQKVOmf6xz5coVvv/+e8aPH8+CBQuIjY2lfPnydO7cmbZt23pEASc2Npbt27ezbNkyli5dyk8//cSlS5cICAigSpUqNGzYkMaNG1OkSBGno7qNMWaztTbc6RxOCwgNsDGRMU7HEBFx1DNzn2HG3hmcfOXkjWU6TsRLlymdLVa4GFu3bnU6inio+fPns3nzZvr37+90FBG3Ss5x4k6uIudxoqKiSJcundMxRLzKhQsXaNasGcYYZs6cmWhxCSBDhgy0atWKuXPncvToUQYPHszFixd5+umneeCBB+jUqROrV6929Cpv/v7+PProo7z00kv88MMP/PnnnyxbtoyXX36ZM2fO8Morr1C0aFGKFi1Kv3792LRpk65KJyIiaUbmdJm5cFUdTImxaJJvSZy1liFDhtCoUSNmzJjBlStXnI4k4jW8vsCUIUMGp2OIeI24uDjat2/P3r17mTp1Kvnz50/S43LmzMmLL77Izp07Wb9+Pe3atWPGjBlUqVKF4sWL8+mnn/LXX3+lcvp/FxQURPXq1Xn//ffZsWMHv//+O8OGDSMsLIxBgwZRtmxZChQoQL9+/di5c6fTcUVERFJV5qDMRMVEcS32mtNRPI8m+ZZEREdH06VLF1566SWaN2/OqlWr9HlT5A54fYEpffr0TscQ8Rr9+/dn9uzZfPzxx9SuXfuOH2+MoVy5cowaNYrjx48zevRogoODef7553nwwQfp3LkzGzZs8Jguody5c9OzZ09+/PFHTp48yZgxYyhSpAiDBg2iRIkSlCxZksGDB3PixAmno4qIiKS4zOkyA3h1F5MxJsIY87Mx5qAx5rXbrFfWGBNrjEna5aVVYJKbWGtp0KABY8eO5b///S9Tp069Zae/iCTO6wtMqiiLJM348eN5//336datG7169Ur29oKDg+natSvr169ny5YtdOrUienTp1O+fHnKli3LmDFjPKql+J577qFz587Mnz+f48ePM2zYMNKnT8/LL79MSEgIzZs3Z968ecTGxjodVVKAriInIhI/yTfgtRN9G2P8geFAfaAY0NYYU+wW6w0EFiZ12xoiJzczxtCpUycmT57M22+/jZ+fV39UFnGE2/5qjDFhxphlxpi9xpjdxpg+ruVvGWOOGmO2ub4aJHWb6mASSZpVq1bRrVs3atasyfDhwzEmZT98ly5dmi+++IKjR48ybNgwrly5QteuXQkNDaVv3778+uuvKfp8yZUjRw569uzJ+vXr2bt3Ly+++CJr1qyhYcOGFCxYkIEDB3LmzBmnY4qIiCRL5iCv72AqBxy01h6y1l4FJgNNE1mvNzADOJnIfYlTB5O4zJo1i6lTpwLQvn17Wrdu7XAiEe/lzrJsDPCStfYhoALQM8EZiI+ttaVcX/OSukFN8i3y7w4cOEDTpk3Jmzcv06ZNS9U3U1myZKFnz57s2rWL5cuXU6NGDYYMGUKBAgVo0qQJixcv9pjhc9cVLVqUDz/8kCNHjjB16lTy5s3La6+9RmhoKD169GDfvn1ORxQREbkrN4bIeWkHExACHElwO9K17AZjTAjQHBhxJxu2Vh1MaZ21lgEDBtC8eXM+//xzj3uPKuKN3FZgstYet9Zucf18AdjLTQeIO6UhciK3d/r0aRo0aICfnx/z5s3jnnvuccvzGmOoVq0a06dP57fffuP//u//WLduHXXq1KF48eKMGDGCS5cuuSVLUgUFBdGyZUuWLVvGzp07ad++PePHj+ehhx6iadOmrFu3zumIIiIid8QHOpgSa7m+uQrwCfCqtfZfx7gbY7obYzYZYzbZOEtAQEBKZBQvdOXKFZ566ilef/11nnrqKebPn5/iHf4iaZEjA0uNMXmB0sB616Jexpgdxpgxxpjst3jMjQPCqVOnAHUwidzO5cuXadKkCUeOHGH27NkUKFDAkRyhoaG8++67HD58mLFjx5I+fXqeeeYZwsLCePXVVzl8+LAjuW6nePHijBo1isOHD/Pf//6XlStXUrFiRWrXrs2KFSucjidJofeIIiIEBwUDXt3BFAmEJbgdChy7aZ1wYLIx5jfgCeBzY0yzxDZmrR1lrQ231oYbY9TBlEZduXKFatWqMWnSJAYMGMCECRPUtCCSQtxeYDLGBBM/Rvp5a+154AugAFAKOA4MTuxxCQ8IOXLkANTBJHIrsbGxPPXUU6xbt45vv/2WSpUqOR2J9OnT07FjRzZt2sTKlSupVasWH330Efnz56d169asXbvW6Yj/kCNHDt5++20OHz7MRx99xK5du6hWrRq1a9dWR5OIiHi86wWmS9c8q2v4DmwEChlj8hljgoA2wJyEK1hr81lr81pr8wLTgWettbP+bcMaIpd2ZciQgXr16jFr1iz69eunziWRFOTWApMxJpD44tI31trvAKy1J6y1sdbaOOBL4ifzSxJ1MIn8k7WWnj17MmvWLD755BNatGjhdKS/McZQpUoVpk2bxqFDh3jxxRdZuHAhlSpVokKFCkyePJlr1645HfNvgoODeemll/j1118ZMmQIO3fupGLFijRv3pyff/7Z6XgiIiKJul5gunj1osNJ7o61NgboRfzV4fYCU621u40xTxtjnk7u9jVELm2ZMmUKmzZtAuCdd96hadPE5osXkeRw51XkDPAVsNdaOyTB8lwJVmsO7ErqNtXBJPJPb7/9NiNHjuS1117jueeeczrObeXJk4cPP/yQyMhIhg8fzp9//knbtm0pUKAAgwYN4uzZs05H/JsMGTLwwgsv8Msvv/DOO++wZMkSHn74YXr16qWrzomIiMfxgUm+sdbOs9YWttYWsNa+51o2wlr7j0m9rbWdrLXTk7ZhFZjSiri4OP773//Spk0bBg0a5HQcEZ/mzg6mykB7oKYxZpvrqwHwoTFmpzFmB1ADeCGpG4yKiiJ9+vSpFFfE+wwbNoy3336bzp07M2DAAKfjJFlwcDDPPvss+/bt4/vvv6dgwYL07duX0NBQnnvuOX755RenI/5NcHAw/fv35+DBg/To0YMvvviCggULMnz4cGJj/3WOUXEDo0mYRETIEJABg/HaDqbUpCFyacOlS5do2bIl77zzDp07d2b8+PFORxLxae68itwqa62x1paw1pZyfc2z1ra31j7iWt7EWns8KduLjY3l2rVrKjCJuHzzzTf07t2bpk2bMmrUKK8cT+7n50ejRo1YunQpW7du5fHHH2fEiBEUKlSIFi1asGrVKo+6hOz999/P8OHD2b59O48++ii9evWibNmybNy40eloIiIiGGMIDgpWgekWVGDybadOnaJy5crMmjWLIUOG8NVXX2l6FZFU5shV5FJCVFQUgF4kRIDZs2fTsWNHatasyeTJk32i5btUqVKMGzeO33//nX79+vHTTz9RtWpVypcvz5QpU4iJiXE64g3Fixdn8eLFTJkyhT/++IPy5cvz/PPPc/Gi3tCLiIizMgVl8uZJvlOPVYHJ12XPnp0iRYowd+5cXnjhBa88+Sribby+wKQ5mCStW7hwIa1atSI8PJxZs2b5XFdfrly5eO+99zh8+DDDhw/n7NmztGnThgIFCjB48GDOnTvndEQg/ixxq1at2LdvH8888wyffvopjzzyCMuWLXM6moiIpGHqYEqcxfrECTn5p0mTJnH8+HECAgKYMmUK9evXdzqSSJrh9QUmdTBJWrZ8+XKaN29OsWLFmD9/PpkzZ3Y6UqrJlCnTjXmaZs2aRd68eXn55ZcJCwvjpZde4vDhw05HBCBLliwMHz6clStXEhAQQM2aNXn++ee5cuWK09FERCQNCg4KVgdTYtTB5HNiY2Pp27cvTz75pCbzFnGI1xeY1MEkadXKlStp2LAh+fPnZ9GiRWTPnt3pSG7h5+dH06ZN+emnn9i4cSONGzfm008/JX/+/LRp04YNGzY4HRGAKlWqsH37dnr37s2nn35KeHg4O3bscDqWiIikMZkCM3HpqgpMiVEHk+84f/48TZs2ZdCgQTz77LMMHDjQ6UgiaZLXF5jUwSRp0apVq6hfvz65c+dmyZIl5MiRw+lIjggPD+ebb77h119/5YUXXmD+/PmUL1+eKlWqMHPmTMev6JYxY0aGDh3KwoUL+fPPPylXrhwjRozwqInKfZWuIiciEi9TUCYNkbsFFZh8w++//07FihVZsGABw4cPZ/jw4epOE3GI1xeY1MEkac3KlSuJiIggJCSEJUuWkDNnTqcjOS4sLIxBgwYRGRnJxx9/zNGjR2nRogVFihRh2LBhjk+2XbduXbZv306NGjV45plneOqppxzPJCIiaUOmQE3yfSv+/v5OR5AUkCVLFrJkycKiRYt49tlnnY4jkqZ5fYHJ1yY0Frmdn376ifr16xMWFsby5ct58MEHnY7kUTJnzszzzz/PgQMHmDZtGjly5KB3796EhYXx2muvERkZ6Vi2+++/nx9++IEBAwYwZcoUKlSowIEDBxzLIyIiaUOmIA2RuxV1uXi3GTNmEB0dTfbs2VmzZg01a9Z0OpJImqcCk4iXWLhwIREREeTJk4dly5aRK1cupyN5rICAAJ544gnWrl3LmjVrqFOnDoMGDSJfvny0a9eOLVu2OJLLz8+Pfv36sXDhQv744w/KlSvHokWLHMkiIiJpgzqYbk1D5LxTTEwMzz33HE888QRffPEFEH81XxFxntcXmDRETtKCOXPm0KRJE4oWLcry5ct54IEHnI7kNSpWrMjUqVM5ePAgvXr1Yvbs2ZQpU4Zq1aoxa9YsR+Zpql27Nhs3biQsLIz69evz+eefuz2Dz9P7TBERIL7AdPnaZadjeCQVmLzPX3/9Rf369fnss8946aWX6N27t9ORRCQBry8waZJv8XUTJ06kRYsWlCpViqVLl6bZCb2TK1++fHz88cdERkYyePBgfv/9d5o3b06RIkUYOnQoFy5ccHueNWvW0LBhQ3r27MnLL79MXFycWzOIiIjvyxiYkUtXL+kCE4nQHEzeZf/+/ZQvX56ffvqJMWPG8NFHH+n/UMTDeH2BSR1M4ss+//xz2rdvz2OPPcbixYvJnj2705G8XtasWXnxxRc5ePAgU6dO5f7776dPnz6EhYXx8ssv8/vvv7stS3BwMDNnzqR3794MHjyYp556iqtXr7rt+UVExPdlCsqExRIdG+10FI+jOZi8y/Wu82XLltG5c2eH04hIYry+wKQOJvFF1lreeustevbsSePGjZk3bx6ZM2d2OpZPCQgIoGXLlqxZs4Z169YRERHBJ598Qv78+WnZsiWrV692y9lef39/Pv30UwYOHMjkyZNp0qQJly5prgwREUkZGQMzAmiYXCI0RM7zWWtZtGgR1loeeugh9uzZQ+XKlZ2OJSK34PUFJnUwia+JjY2lZ8+evP3223Tq1InvvvtOk9mnsvLlyzN58mR+/fVXXnnlFZYsWUKVKlUoW7YsEyZMSPWuImMMffv25auvvuLHH3+kXr16nD9/PlWf09cZTcIkIgL8/wKTriT3Txpe5dmuXr1K9+7dqVevHrNmzQJUFBTxdF5fYFIHk/iSK1eu3LgiRt++fRkzZowOpG4UFhbGBx98wJEjR/j888+5dOkSHTp0IE+ePPzvf//jxIkTqfr8Xbp0YfLkyaxfv546depw9uzZVH0+ERHxfepgujUVmDzX6dOnqVOnDqNHj+b111+nadOmTkcSkSTw+gKTOpjEV5w+fZpatWoxe/ZsPvnkEwYOHKhLrjokU6ZMPPPMM+zevZv58+dTqlQp3nzzTXLnzk2nTp3YsmVLqj13y5YtmT59Olu3biUiIkKdTCIikizXC0xXYq44nMTzaA4mz7Rr1y7KlSvH+vXr+eabb3j33Xfx8/Paj60iaYrX/qVGRUVhjFF3h/iEAwcOULFiRbZu3cq0adPo06eP05EE8PPzIyIigvnz57Nv3z66d+/O9OnTKVOmDFWqVGHq1Klcu3YtxZ+3adOmTJ06lc2bN9OgQQMuX9ZZZxERuTsaIndr6mDyTIcPH+batWusWLGCJ5980uk4InIHvLrAlCFDBnV4iNdbsWIFFSpU4OzZsyxZsoTHH3/c6UiSiCJFivDZZ59x9OhRPv74Y/744w9at25Nvnz5eO+99zh58mSKPl+zZs349ttvWbt2LS1atNDV5URE5K5kCIjv9lcH0z/pRLXnsNayadMmABo0aMD+/fspV66cw6lE5E55dYFJEx+Ltxs3bhx16tQhR44crFu3jkqVKjkdSf5F1qxZef7559m/fz9z587l4Ycfpn///oSFhdGhQwc2bNiQYs/VsmVLRo0axcKFC+ncuTNxcXEptm0REUkbNAfTranA5BmioqLo0KED5cuXZ+vWrYCmQRHxVl5bYLpy5YpeeMRrxcbG0rdvXzp16kTVqlVZu3YtBQoUcDqW3AE/Pz8aNmzIwoUL2bt3Lz169GDWrFmUL1+ecuXKMW7cuBtzxSVH165dGTBgAN9++y2vvfZaCiQXEZG0JEOgq4PpmjqYbqYhcs77448/qF69OhMnTuTtt9+mVKlSTkcSkWTw2gJTVFSUriAnXuncuXM0bdqUQYMG8eyzzzJ//nyyZ8/udCxJhqJFizJ06FAiIyMZNmwYFy5coFOnToSGhvLaa6/x22+/JWv7r732Gs8++yyDBg1i1KhRKRPaIcaY9MaYDcaY7caY3caYt13L7zHG/GiMOeD6nj3BY/oZYw4aY342xtRzLr2IiPfRELlbUweTs7Zu3UrZsmXZuXMnM2bMoH///pr+RMTLeXWBSR1M4m327dtH+fLlWbhwIcOHD2f48OG6gokPyZIlCz179mTPnj0sWbKExx57jEGDBpE/f34aN27M/Pnz72qYmzGGTz/9lPr16/Pss8+yZMmSVEjvNtFATWttSaAUEGGMqQC8Biyx1hYClrhuY4wpBrQBHgYigM+NMTrlLCKSRBoid2sqMDlryZIlGGNYvXo1LVq0cDqOiKQAtxWYjDFhxphlxpi9rrPWfVzLb3nW+nbUwSTeZs6cOZQvX54///yTJUuW8OyzzzodSVKJMYaaNWvy3Xff8dtvv/H666+zceNGGjRoQMGCBfnwww85ffr0HW0zICCAKVOmULRoUVq1asWhQ4dSKX3qsvEuum4Gur4s0BQY51o+Dmjm+rkpMNlaG22t/RU4CPzrrJ8GnQEVEQENkbsdDZFzP2stBw8eBOCll15i+/btGhYn4kPc2cEUA7xkrX0IqAD0dJ2ZTvSs9b9RB5N4i9jYWF5//XWaNm1KoUKF2Lx5M4899pjTscRNwsLCeOeddzh8+DBTpkwhd+7cvPrqq4SEhNCuXTtWrVqFtTZJ28qcOTOzZ8/GWkvTpk25dMk7LzltjPE3xmwDTgI/WmvXAzmttccBXN/vd60eAhxJ8PBI1zIREUkCDZG7NXUwudfly5dp06YN4eHhHDt2DGOMpokQ8TFuKzBZa49ba7e4fr4A7CX+Q8Ktzlrflq4iJ97g1KlT1K9fnwEDBtCtWzdWrVpFWFiY07HEAUFBQbRq1Yrly5eza9cuevTowdy5c6latSqPPPIIw4YN49y5c/+6nQIFCjB58mR2797NM888k+TilCex1sZaa0sBoUA5Y0zx26yeWCtSov9oY0x3Y8wmY8ym2NjYFEgqIuL9Av0D8Tf+6mBKhDqY3CcyMpKqVasybdo0+vfvT65cuZyOJCKpwJE5mIwxeYHSwO3OWt+WhsiJp1u5ciWlSpVixYoVjB49mlGjRqkoKgA8/PDDDB06lKNHj/LVV1+RMWNGevfuTa5cuejSpQvr1q27beGobt26vPXWW0yYMIHRo0e7MXnKstaeBZYTP7fSCWNMLgDX95Ou1SKBhFXZUODYLbY3ylobbq0N9w/QhwYRkesyBGZQB1Mi1MHkHuvXr6ds2bIcOHCA77//npdfflmTeYv4KLcXmIwxwcAM4Hlr7fk7eNyNM9OnTp1SB5N4rLi4OD744ANq1KhBxowZWbduHV27dnU6lnigTJky0aVLFzZs2MCmTZto374906ZNo2LFipQqVYrhw4dz9uzZRB/bv39/ateuTZ8+fdizZ497gyeDMSaHMSab6+cMQG1gHzAH6OharSMw2/XzHKCNMSadMSYfUAjY4NbQIiJeLn1AenUwJUIdTO4xatQoMmbMyNq1a2nYsKHTcUQkFbm1wGSMCSS+uPSNtfY71+JbnbX+m4RnpnPkyKECk3ikP/74g4iICPr160eLFi3YvHmzJi6UJClTpgwjR47k2LFjjBw5ksDAQHr16sWDDz5Ix44d/zFXk5+fH+PHjyc4OJg2bdoQFRXlYPo7kgtYZozZAWwkfg6mucAHQB1jzAGgjus21trdwFRgD7AA6Gmt1fg3EZE7kCEgA1GxXnOccBsVmFJPXFwcJ06cAGD48OFs2LCBhx9+2OFUIpLa3HkVOQN8Bey11g5JcNetzlrflib5Fk+zcOFCSpYsycqVKxk5ciRTpkwhS5YsTscSL5M5c2a6d+/Opk2b2LRpEx06dGDmzJlUrVqVhx56iI8++ohTp04BkCtXLsaOHcvOnTt54403HE6eNNbaHdba0tbaEtba4tba/7mWn7HW1rLWFnJ9/zPBY96z1haw1hax1s53Lr2IiHfKEJhBHUyJUIEpdVy4cIFmzZpRrVo1Ll++TPr06bn33nudjiUibuDODqbKQHugpjFmm+urAbc4a/1vNAeTeIqoqCheeOEFIiIiyJEjBxs3bqR79+4aWy7JVqZMGUaMGMHx48cZM2YM9957L6+88gohISE88cQTzJ8/n3r16vH0008zePBgVqxY4XRkj2ESnRtcRCRtSh+QnqgYdTDdTAWmlPfbb79RuXJl5s2bR69evdQQIJLGuG1mO2vtKhK/GhBArTvdnjqYxBPs3LmTp556ip07d9K7d28GDhyo30tJcZkyZaJz58507tyZPXv2MHr0aCZMmMCMGTMICQmhbdu2hIaGaq4vERFJlApMidMk3ylr5cqVtGjRgpiYGBYsWEDt2rWdjiQibubIVeRSwpUrV9TBJI6JjY3lww8/JDw8nJMnTzJv3jyGDh2q4pKkumLFijFkyBCOHj3KjBkzKFWqFEOGDOHIkSMcPHjQ6XgiIuKB0gek11XkEqEOppRjraVfv37ce++9rF+/XsUlkTTKKwtM1lri4uL0YV4ccfDgQR577DFeffVVGjVqxM6dO6lfv77TsSSNCQoKokWLFsydO5fDhw8zYMAAzfklIiKJyhCQgeiYaKdjeBwVmJIvJiaGixcvYoxh+vTprFu3jsKFCzsdS0Qc4rUFJkAdTOJWcXFxfPrpp5QsWZI9e/YwceJEpk+fTo4cOZyOJmlcSEgI/fr14/Dhw05HERERD6QhcolTgSl5zp49S6NGjWjVqhVxcXE88MADZMuWzelYIuIgrywwxcXFAaiDSdxm//79PPbYYzz//PNUr179xtxLmshbPEnWrFmdjiAiIh5IQ+QSpwLT3Ttw4AAVKlRgyZIlNG/eHD8/r/xYKSIpzCtfCa4XmNTBJKnt2rVrDBw4kJIlS7J7927GjRvH3LlzCQ0NdTqaiIiISJKkD0ivIXKJUIHp7ixZsoTy5ctz+vRpFi9eTLdu3ZyOJCIewisvnXB9iJw6mCQ1bdy4kW7durF9+3aaN2/O8OHDyZUrl9OxRERERO5IOv906mBKhApMdy46OprOnTsTEhLCnDlzyJcvn9ORRMSDeGWB6XoHU/r06R1OIr7o/Pnz/Pe//+Wzzz7jgQceYObMmTRr1szpWCIiIiJ3RR1MiVOBKemuXbuGn58f6dKlY/78+eTOnZvMmTM7HUtEPIxXD5FTB5OkJGstU6dOpWjRogwdOpQePXqwZ88eFZdEvJBB86OJiFyXLiAd0bEqMN1MBaakOXPmDHXr1qVfv34APPzwwyouiUiivLLAdH2InDqYJKXs37+fiIgIWrduTa5cuVi3bh2ff/65Jk0WERERr5fOPx1RMVE33kNLPBWY/t2ePXsoV64ca9as4ZFHHnE6joh4OK8sMGmSb0kpFy5c4NVXX6V48eKsW7eOoUOHsmHDBsqVK+d0NBEREZEUkS4g/j3ztbhrDifxLCow3d68efOoUKECly5d4qeffqJ9+/ZORxIRD+eVczCpg0mSKy4ujkmTJvHKK69w/PhxOnfuzPvvv0/OnDmdjiYiIiKSotL5xxeYNA/T3/n5eeW5drc4efIkLVu2pEiRIsyePZuwsDCnI4mIF/DKApM6mCQ51q5dywsvvMD69esJDw9n5syZlC9f3ulYIpKSNAWTiMgN1zuYNA+T/JvY2Fj8/f25//77+eGHHyhbtiyZMmVyOpaIeAmvLNtrkm+5G7///jtPPvkklSpV4vDhw4wdO5b169eruCQiIiI+TR1MkhQnT56kevXqTJw4EYDq1auruCQid8QrO5iuD5FTB5MkxV9//cX777/P0KFDMcbwxhtv0LdvX4KDg52OJiIiIpLq1MGUCHW6/s327dtp0qQJp06d0mcsEblr6mASnxUdHc2QIUMoUKAAH330EW3btmX//v3873//U3FJRERE0gxv7mAyxkQYY342xhw0xryWyP1PGWN2uL7WGGNKJmm7qjDdMHPmTCpXrkxsbCyrVq2iZcuWTkcSES/llQUmdTDJ7cTExDBmzBgKFSrESy+9RPny5dm2bRtff/21JigUERGRNMdbO5iMMf7AcKA+UAxoa4wpdtNqvwLVrLUlgHeAUUnbeAoG9WK7du3i8ccfp3jx4mzcuJFHH33U6Ugi4sW8ssCkDiZJTFxcHNOmTaN48eJ07dqVXLlysXjxYubPn0+JEiWcjicibqQz0yIi/9/1DqarsVcdTnLHygEHrbWHrLVXgclA04QrWGvXWGv/ct1cB4S6OaNXun7Cvnjx4kyaNInly5eTK1cuh1OJiLfz2gKTv78/AQFeOYWUpDBrLbNnz6ZMmTK0atWKgIAAZs2axbp166hVq5bT8UREREQcdaODyfuGyIUARxLcjnQtu5WuwPxb3WmM6W6M2WSM2ZRC+bzSsWPHqFatGhs2bACgdevWpE+f3uFUIuILvLLAZK3Vi6BgrWXOnDmUKVOGZs2acfHiRSZMmMD27dtp2rQpxqiDQUREROTGHExeNkSOxAey2URXNKYG8QWmV2+1MWvtKGttuLU2PK2+T9y4cSNly5Zl69atnD592uk4IuJjvLLAFBcXp/mX0rC4uDhmzZpF2bJladq0KefPn2fs2LHs3buXdu3a4e/v73REEREREY8R5B8EeOUQuUgg4QSaocCxm1cyxpQARgNNrbVn3JTN60yePJnHHnuMoKAg1qxZQ4MGDZyOJCI+xmsLTJp/Ke2JjY1l0qRJlChRgubNm3P27FnGjBnDvn376Nixo4ZMioiIiCTieoHJC4fIbQQKGWPyGWOCgDbAnIQrGGNyA98B7a21+5O85TTWwLRgwQLatm1L2bJl2bBhA4888ojTkUTEB7mtwGSMGWOMOWmM2ZVg2VvGmKPGmG2urySV0TVELm2Jjo5m9OjRPPTQQzz55JNYa/nmm2/Yt28fnTt3VmFJRERE5Dauz8F0Le6aw0nujLU2BugFLAT2AlOttbuNMU8bY552rfZf4F7gc9fniTQ9v9Kt1KlTh6FDh7J48WJy5MjhdBwR8VHu7GAaC0Qksvxja20p19e8pGxIQ+TShnPnzjFw4EDy5s1Lt27dyJw5MzNmzGDnzp08+eSTKiyJiIiIJIEXD5HDWjvPWlvYWlvAWvuea9kIa+0I18//sdZmT/B5Ijwp200LVxs9fPgwDRs25NixY/j7+9O7d2+CgoKcjiUiPsxtn9CttSuMMXlTaFsaIufDjhw5wmeffcaIESO4cOECderUYeLEidSsWVMTd4uIiIjcIW8uMKUaH39LuWbNGpo3b05UVBS//PILDz74oNORRCQN8IQ5mHoZY3a4htBlT8oD1MHkmzZs2EDbtm3Jly8fgwcPpmHDhmzZsoVFixZRq1YtFZdERERE7oIKTGnL2LFjqVGjBlmyZGH9+vVUrVrV6UgikkY4XWD6AigAlAKOA4NvtaIxprsxZpMxZtPVq1fVweQjYmJimDFjBlWqVKF8+fLMmzeP559/nkOHDjFp0iRKly7tdEQRERERr6YCUyJ89LzlmDFj6Ny5M1WrVmX9+vUULVrU6UgikoY4OomNtfbE9Z+NMV8Cc2+z7ihgFECmTJmsOpi826lTp/jyyy/54osviIyMJF++fHzyySd06dKFzJkzOx1PRERExGcE+gUCKjAl5KtzMLVo0YJjx47x6quvEhgY6HQcEUljHO1gMsbkSnCzObDrVusmFBcXpw4mL7Vx40Y6duxIaGgor7/+OkWKFGHWrFkcOHCAPn36qLgkIinCVz84iIjcjesdTNdivesqcpI0hw4dolOnTkRFRZEtWzb69++v4pKIOMJtHUzGmElAdeA+Y0wk8CZQ3RhTCrDAb0CPpGzLWqs5mLzIxYsXmTRpEiNHjmTz5s0EBwfTrVs3evbsyUMPPeR0PBERERGfFuivDqZ/8JHzEMuXL+fxxx8H4MUXX6REiRIOJxKRtMydV5Frm8jir+5mW+pg8g47duxgxIgRTJw4kQsXLlC8eHE+++wzOnToQJYsWZyOJyIiIpIm+Bk//I0/1+LUweRLRo0aRc+ePSlUqBDff/89BQoUcDqSiKRxjs7BdLd0FTnPde7cOaZMmcJXX33Fhg0bSJcuHa1ateLpp5+mYsWKuhKciIiIiAMC/QPVwZSAtw+l/uCDD+jXrx8NGjTg22+/JWvWrE5HEhHxzgKTtZb06dM7HUNcrLWsWLGCMWPGMG3aNK5cucLDDz/MkCFD6NixI/fcc4/TEUVERETStCD/IBWYEvLu+hItWrTg4sWLvP322/j7+zsdR0QE8NICkzqYPMOvv/7KxIkTGT9+PAcPHiRz5sy0b9+erl27UrZsWXUriYhz9PIjIvI3gX6BmuTby/38889MmDCBd955h8KFC/Puu+86HUlE5G+8ssAEaA4mh5w7d47p06czfvx4VqxYAUC1atV44403eOKJJ8iYMaPDCUVERETkZhoidxMvOxGxcOFCWrduTVBQED169CAsLMzpSCIi/+C1BSZ1MLnP1atXWbBgAd9++y2zZ88mKiqKwoUL89577/HUU0+RJ08epyOKiIiIyG0E+Qdpku8EvGUOJmstQ4cO5cUXX6R48eLMmTNHxSUR8VheW2DSHEypKzY2lp9++olJkyYxY8YM/vrrL+655x66du1Khw4dNARORERExIsE+gWqwOSFXn75ZYYMGUKzZs2YMGECwcHBTkcSEbklry0waYhcyouLi2PDhg1MmTKFKVOmcPz4cYKDg2nWrBlt27alTp06BAYGOh1TRERERO5QoL/mYPJGderUIUOGDPzvf//Dz8/P6TgiIrfltQUmDZFLGXFxcaxbt45p06Yxffp0IiMjCQoKokGDBrRt25ZGjRppXiURERERL6cOppt4cCP+zp072bBhA127diUiIoKIiAinI4mIJInXFpjUwXT3YmNjWbNmDdOnT2fGjBkcPXqUoKAgIiIiGDBgAE2aNCFr1qxOxxQRERGRFKIOpr/z1DmY5syZw1NPPUW2bNlo3bq1hsSJiFfx2gKTOpjuTFRUFEuWLGHWrFnMmTOHkydPki5dOiIiIhg4cCCNGzcmS5YsTscUER9njAkDxgMPAHHAKGvtp8aYUsAIID0QAzxrrd3gekw/oCsQCzxnrV34r8/joR8cREScog6mm3jYYcJay4cffki/fv0oU6YMs2bNUnFJRLyO1xaYNMn3vzt37hw//PADs2bNYv78+Vy8eJHMmTPToEEDmjVrRoMGDVRUEhF3iwFestZuMcZkBjYbY34EPgTettbON8Y0cN2ubowpBrQBHgYeBBYbYwpba2Od+geIiHijAL8AYuJinI4hibDW0qVLF8aOHUvr1q0ZM2aMpqgQEa/ktQUmdTAl7sCBA8ydO5e5c+eyYsUKYmJiyJkzJ08++STNmjWjZs2a2nci4hhr7XHguOvnC8aYvUAIYIHrFe+swDHXz02BydbaaOBXY8xBoByw1q3BRUS8nIbIeS5jDCVKlOCdd97h9ddf15WaRcRreW2BSR1M8a5du8bq1atvFJV+/vlnAIoVK8aLL75I06ZNKV++PP7+/g4nFRH5O2NMXqA0sB54HlhojPkI8AMquVYLAdYleFika1li2+sOdAdIF6JCuohIQoF+gUTFRDkdw2N4QhFn69atnDlzhtq1a/PCCy84HUdEJNm8tsCUlrtwjh49ysKFC1mwYAGLFi3i3LlzBAUFUaNGDXr16kXDhg3Jly+f0zFFRG7JGBMMzACet9aeN8a8C7xgrZ1hjGkFfAXUJvFZMmxi27TWjgJGAWTJlyXRdURE0ioNkfMs06ZNo2PHjhQsWJBt27bh5+fndCQRkWTz2gJTWrqKXHR0NKtWrWLBggUsWLCAXbt2ARASEsITTzxBo0aNqF27tiYCFBGvYIwJJL649I219jvX4o5AH9fP04DRrp8jgbAEDw/l/w+fExGRJNIQOc8QFxfHO++8w1tvvUWlSpX47rvvVFwSEZ/htQUmXx4iZ61lz549LF68mMWLF7N06VIuX75MUFAQVatWpWPHjkRERPDwww97RHuviEhSmfgXra+AvdbaIQnuOgZUA5YDNYEDruVzgG+NMUOIn+S7ELDBbYFFRHyEOphu4sBb6KtXr9KuXbsb3UsjR45M06MyRMT3qMDkISIjI1m8eDFLlixh8eLF/PHHHwAULFiQLl26EBERQfXq1cmUKZPDSUVEkqUy0B7YaYzZ5lr2f0A34FNjTAAQhWsuJWvtbmPMVGAP8Veg66kryImI3LlAv0CuxamDyUmBgYEEBwczaNAgXnrpJZ0oFhGfowKTQ06fPs2KFStYunQpixcvvjE5d44cOahduza1a9emVq1a5MmTx+GkIiIpx1q7ilufNy5zi8e8B7yXaqFERNKAAL8AYuNUn7/OuLGFaf369WTLlo0iRYrw1VdfqbAkIj7LawtM3tZOeurUKVasWMHy5ctZvnz5jXmUMmXKRLVq1ejRowe1atWiePHiGoctIiIiIikqwC9AHUwJuanGM3HiRP7zn/9Qo0YN5s+fr+KSiPg0FZhSycmTJ1m5cuU/CkoZM2akSpUqtG3blurVqxMeHk5QUJDDaUVERETElwX6aZJvd4qLi+P111/ngw8+oHr16kycONHpSCIiqc4rC0zGGI+q/ltrOXDgAKtWrbrxdeBA/Py0mTJlokqVKjz55JM3CkqBgYEOJxYRERGRtCTAL4BYTWF3Q2oOkbt48SJPPfUUc+bMoUePHnz22Wd6/y8iaYJXFpicHkJ27do1tm7d+reC0qlTpwC49957qVy5Mt26daNKlSoqKImIiIiI4wL8AtTBlFAqnqsOCAjgzz//5LPPPqNnz54edWJcRCQ1ua3AZIwZAzQCTlpri7uW3QNMAfICvwGtrLV/JWFbqRc0EceOHWPdunU3vjZt2sSVK1cAyJ8/P/Xr16dKlSpUqVKFIkWKOF4AExFJ6/RmXkTk7wL8AoiJi3E6hk9bs2YNxYoVI1u2bCxfvhx/f3+nI4mIuJU7O5jGAsOA8QmWvQYssdZ+YIx5zXX71X/bUGoWcKKiotiyZcvfCkpHjhwBICgoiEcffZTu3btTuXJlKleuzIMPPphqWUREREREUoKGyKWu0aNH88wzz/Cf//yHL774QsUlEUmT3FZgstauMMbkvWlxU6C66+dxwHKSUGBKqTPTsbGx7N27l02bNrFx40Y2btzItm3buHYtvn04T548VKpUiQoVKlCxYkVKlSrl8ZOLi4iIiIjcTEPkUkdMTAwvv/wyn376KfXq1eP99993OpKIiGOcnoMpp7X2OIC19rgx5v6kPOhuOpji4uL45Zdf2Lhx442C0pYtW7h8+TIAwcHBlClThhdffJEKFSpQvnx5cuXKdcfPIyIiIiLiafz9/NXBlEBKnLA+e/YsrVu3ZtGiRTz//PMMGjSIgACnP16JiDjHa14BjTHdge4QP1TtduLi4jh48CBbt25l69atbNq0iU2bNnHu3DkA0qdPT+nSpenatStly5YlPDxccyeJiIiIiM8K8AsgzsY5HcOnXL58mf379/Pll1/yn//8x+k4IiKOc7rAdMIYk8vVvZQLOHmrFa21o4BRAJkzZ7bXl1+9epXdu3ffKCZt3bqV7du3c/HiRSD+Kg4lSpSgTZs2hIeHU7ZsWYoVK6Yru4mIiIhImhHg5/Tbfg+TjAamTZs2Ubp0aR588EH27t1L+vTpUy6XiIgXc/pIMwfoCHzg+j47KQ+6du0aXbp0YevWrezevfvGnEnBwcGULFmSTp06Ubp0aUqXLk2xYsU0b5KIiIiIpGkqMCWftZbPP/+cPn36MGDAAPr27avikohIAm470hhjJhE/ofd9xphI4E3iC0tTjTFdgcNAy6RsKzo6mrlz51K6dGnq1at3o5hUsGBBDXMTEREREbmJCkx/Z+6whenatWs899xzjBgxgiZNmvDMM8+kUjIREe/lzqvItb3FXbXudFtFihRh7969KXY1ORER8S25s+R2OoKIiEdpV6IdtfLV4tG3HnU6itc5c+YMTzzxBMuXL+e1117jvffe00ltEZFEeOWpjODgYBWXRETkltIFaGi0iEhCDwQ/wAPBDzgdw3PcwUeJX3/9lW3btjFhwgTatWuXeplERLycVxaYREREREREUtO+ffsoWrQo4eHh/Pbbb2TNmtXpSCIiHk29nSIiIiIiIi7WWj766CMefvhhZs6cCaDikohIEqiDSURERERE0pRbTbcRHR1Njx49GDduHC1btqRevXpuTiYi4r3UwSQiIiIiImneiRMnqFmzJuPGjeOtt95iypQpZMyY0elYIiJeQx1MIiIiIiKS5q1YsYJt27YxdepUWrZs6XQcERGvowKTiIiIiIikWUePHiUkJISWLVtSpUoVcuXK5XQkERGvpCFyIiIiIiLikYwxEcaYn40xB40xryVyvzHGDHXdv8MY82jSNhw/mfe7775LwYIF2bJlC4CKSyIiyaAOJhERERER8TjGGH9gOFAHiAQ2GmPmWGv3JFitPlDI9VUe+ML1/V89+eSTTJ48mXbt2lGsWLGUDS8ikgapg0lERERERDxROeCgtfaQtfYqMBloetM6TYHxNt46IJsx5l/bkC5dusSUKVP44IMPGD9+POnTp0/59CIiaYw6mERERERExBOFAEcS3I7kn91Jia0TAhy/3YbjYuOYPWs2TZo0SYmcIiKClxaYNm/efNEY87PTOTzAfcBpp0M4TPsgnvZDPO0HKOJ0AE+g4wSgv4frtB/iaT9oH1znTccJk8gyexfrxK9oTHegu+tmdNOmTXclI5sv0N9EPO2HeNoP2gfX3fVxwisLTMDP1tpwp0M4zRizKa3vB+2DeNoP8bQf4veB0xk8RJo/TujvIZ72QzztB+2D67zsOBEJhCW4HQocu4t1ALDWjgJGgX4fQPvgOu2HeNoP2gfXJec4oTmYRERERETEE20EChlj8hljgoA2wJyb1pkDdHBdTa4CcM5ae9vhcSIikjq8tYNJRERERER8mLU2xhjTC1gI+ANjrLW7jTFPu+4fAcwDGgAHgctAZ6fyioikdd5aYBrldAAPof2gfXCd9kM87Qftg+u0H7QPrtN+iKf9oH1wnVftB2vtPOKLSAmXjUjwswV63sWmvWo/pBLtg3jaD/G0H7QPrrvr/WDiX5NFRERERERERETujuZgEhERERERERGRZPHoApMxJsIY87Mx5qAx5rVE7jfGmKGu+3cYYx51ImdqSsI+eMr1b99hjFljjCnpRM7U9m/7IcF6ZY0xscaYJ9yZz12Ssh+MMdWNMduMMbuNMT+5O2NqS8LfRFZjzPfGmO2ufeBzczEYY8YYY04aYxK9vHJaeG0EHSOu03Eino4TOkZcp+OEjhPX6TgRT8eJeDpO6DhxnY4TqXicsNZ65BfxE/n9AuQHgoDtQLGb1mkAzAcMUAFY73RuB/ZBJSC76+f6vrYPkrofEqy3lPhx+k84nduh34dswB4gt+v2/U7ndmAf/B8w0PVzDuBPIMjp7Cm8Hx4DHgV23eJ+n35tvIPfBe0Hq+NEIuv55HFCx4g72g86Tuj1Ufvh7+voOPH39XSc0HFCx4m7fH305A6mcsBBa+0ha+1VYDLQ9KZ1mgLjbbx1QDZjTC53B01F/7oPrLVrrLV/uW6uA0LdnNEdkvK7ANAbmAGcdGc4N0rKfngS+M5aexjAWutr+yIp+8ACmY0xBggm/oAQ496Yqctau4L4f9et+PprI+gYcZ2OE/F0nNAx4jodJ9BxwkXHiXg6TsTTcULHiet0nCD1jhOeXGAKAY4kuB3pWnan63izO/33dSW+yuhr/nU/GGNCgObACHxXUn4fCgPZjTHLjTGbjTEd3JbOPZKyD4YBDwHHgJ1AH2ttnHvieQxff20EHSOu03Eino4TOkZcp+NE0uj1MenreDsdJ+LpOKHjxHU6TiTNXb0+BqRanOQziSy7+ZJ3SVnHmyX532eMqUH8AaFKqiZyRlL2wyfAq9ba2PhCs09Kyn4IAMoAtYAMwFpjzDpr7f7UDucmSdkH9YBtQE2gAPCjMWaltfZ8KmfzJL7+2gg6Rlyn40Q8HSd0jLhOx4mk0etj0tfxdjpOxNNxQseJ63ScSJq7en305AJTJBCW4HYo8RXEO13HmyXp32eMKQGMBupba8+4KZs7JWU/hAOTXQeD+4AGxpgYa+0styR0j6T+TZy21l4CLhljVgAlAV85KCRlH3QGPrDxg4cPGmN+BYoCG9wT0SP4+msj6BhxnY4T8XSc0DHiOh0nkkavj0lfx9vpOBFPxwkdJ67TcSJp7ur10ZOHyG0EChlj8hljgoA2wJyb1pkDdHDNcF4BOGetPe7uoKnoX/eBMSY38B3Q3scqywn9636w1uaz1ua11uYFpgPP+tDB4Lqk/E3MBqoaYwKMMRmB8sBeN+dMTUnZB4eJP+uCMSYnUAQ45NaUzvP110bQMeI6HSfi6TihY8R1Ok4kjV4f42k/oOPEdTpOADpOXKfjxF2+PnpsB5O1NsYY0wtYSPxM72OstbuNMU+77h9B/Oz+DYCDwGXiK40+I4n74L/AvcDnrmp7jLU23KnMqSGJ+8HnJWU/WGv3GmMWADuAOGC0tTbRS096oyT+LrwDjDXG7CS+tfNVa+1px0KnAmPMJKA6cJ8xJhJ4EwiEtPHaCDpGXKfjRDwdJ3SMuE7HiXg6Tug4cZ2OE/F0nNBx4jodJ+Kl1nHCxHd9iYiIiIiIiIiI/L927pZFyjAKA/B91GQxCILY/EiyQavFIjYt/gL9B27ToOiKGCxi1GCwahCjCsKCYF40GQSrCGIwrMegYVmG1fHZdWaX60ozvM8ZTrvhfnnm38zzFTkAAAAAtgEFEwAAAABDFEwAAAAADFEwAQAAADBEwQQAAADAEAUTAAAAAEMUTAAAAAAMUTDBOlX1qqrO/P68VFX3pphdqKrlNd9PVtXLrdgTgNmQEwCMGMkRmGd7Zr0AzKFrSW5U1YEkJ5Kcm2J2JcmRqtrd3atJ7iZZ3IIdAZgdOQHAiJEcgbmlYIJ1uvt1VVWSy0lOd/dqVR1OcjXJvu6+sMHsj6paSXK8qo4l+ZjkS1U9/NMsANuDnABgxEiOwDxzRQ7WqaqFJAeTfO/ur0nS3R+6+9Jf/sSbJKeSXE9yZcpZAOacnABgxCbkCMwlBROsUVUHkzxOcj7Jt6o6u8HZF1V1aMKjN0mWkjzt7k9bsykAsyAnABgxTY7AdqNggt+qam+SJ0kWu/tdkpv59XZ50tldSY4m+Tzh8fsk35Pc2ZpNAZgFOQHAiGlyBLaj6u5Z7wBzr6r2J7mV5EySB0meJbnY3ZcnnL2f5G13P5o02923/9viAPwXcgKAEbKAnUDBBJukqo4keZ5k2f1pANaTEwDATqZgAgAAAGCI/2ACAAAAYIiCCQAAAIAhCiYAAAAAhiiYAAAAABiiYAIAAABgiIIJAAAAgCEKJgAAAACGKJgAAAAAGPIT8M93pZKQL3cAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_multiple_json([(['acetone'], '../../parameters/pcsaft/gross2006.json'), (['water'], '../../parameters/pcsaft/gross2002.json')])\n", "\n", "saft = EquationOfState.pcsaft(params)\n", "dia_p = PhaseDiagram.binary_vlle(saft, 450*KELVIN, (0.005, 0.9), 50*BAR, 25*BAR, 101)\n", "dia_t = PhaseDiagram.binary_vlle(saft, BAR, (0.001, 0.99), 0*CELSIUS, 50*CELSIUS, 101)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "ax[0].plot(dia_p.vle.liquid.molefracs[:,0], dia_p.vle.liquid.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.vle.vapor.molefracs[:,0], dia_p.vle.vapor.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.lle.vapor.molefracs[:,0], dia_p.lle.vapor.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.lle.liquid.molefracs[:,0], dia_p.lle.liquid.pressure/BAR, '-k')\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "\n", "ax[1].plot(dia_t.vle.liquid.molefracs[:,0], dia_t.vle.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vle.vapor.molefracs[:,0], dia_t.vle.vapor.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.lle.liquid.molefracs[:,0], dia_t.lle.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.lle.vapor.molefracs[:,0], dia_t.lle.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "ax[2].plot(dia_t.vle.liquid.molefracs[:,0], dia_t.vle.vapor.molefracs[:,0], '-g')\n", "ax[2].plot(dia_p.vle.liquid.molefracs[:,0], dia_p.vle.vapor.molefracs[:,0], '-k')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two associating components" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = PcSaftParameters.from_json(['water', '1-butanol'], '../../parameters/pcsaft/gross2002.json')\n", "\n", "\n", "saft = EquationOfState.pcsaft(params)\n", "dia_p = PhaseDiagram.binary_vlle(saft, 350*KELVIN, (0.55, 0.98), BAR, 0.5*BAR, 101)\n", "dia_t = PhaseDiagram.binary_vlle(saft, BAR, (0.5,0.995), 70*CELSIUS, 80*CELSIUS, 101)\n", "\n", "f, ax = plt.subplots(1,3,figsize=(20,5))\n", "ax[0].plot(dia_p.vle.liquid.molefracs[:,0], dia_p.vle.liquid.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.vle.vapor.molefracs[:,0], dia_p.vle.vapor.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.lle.vapor.molefracs[:,0], dia_p.lle.vapor.pressure/BAR, '-k')\n", "ax[0].plot(dia_p.lle.liquid.molefracs[:,0], dia_p.lle.liquid.pressure/BAR, '-k')\n", "ax[0].set_xlim(0,1)\n", "ax[0].set_xlabel('$x_1,y_1$')\n", "ax[0].set_ylabel('$p$ / bar')\n", "\n", "ax[1].plot(dia_t.vle.liquid.molefracs[:,0], dia_t.vle.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.vle.vapor.molefracs[:,0], dia_t.vle.vapor.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.lle.liquid.molefracs[:,0], dia_t.lle.liquid.temperature/KELVIN, '-g')\n", "ax[1].plot(dia_t.lle.vapor.molefracs[:,0], dia_t.lle.vapor.temperature/KELVIN, '-g')\n", "ax[1].set_xlim(0,1)\n", "ax[1].set_xlabel('$x_1,y_1$')\n", "ax[1].set_ylabel('$T$ / K')\n", "\n", "ax[2].plot([0,1], [0,1], '--k')\n", "ax[2].plot(dia_t.vle.liquid.molefracs[:,0], dia_t.vle.vapor.molefracs[:,0], '-g')\n", "ax[2].plot(dia_p.vle.liquid.molefracs[:,0], dia_p.vle.vapor.molefracs[:,0], '-k')\n", "ax[2].set_xlim(0,1)\n", "ax[2].set_ylim(0,1)\n", "ax[2].set_xlabel('$x_1$')\n", "ax[2].set_ylabel('$y_1$');" ] } ], "metadata": { "kernelspec": { "display_name": "feos", "language": "python", "name": "feos" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.10" } }, "nbformat": 4, "nbformat_minor": 4 }